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28 7th Grade Math Problems With Answers And Worked Examples

Linda Bortnick

7th grade math problems build on students’ reasoning skills and understanding of key mathematical concepts.

We’ve created 28 7th grade math problems for your classroom, suitable for use as additional practice before an assessment, as a Do Now activity, or for an Exit Slip to check for understanding after a lesson. Math teachers designed these problems to build on students’ math skills and help to prepare them for the rigor expected ahead in 8th grade and in high school courses like Algebra, Geometry, and Statistics.

What are 7th grade math problems?

7th grade math problems combine 7th grade math concepts with grade-level appropriate reasoning and problem solving skills.

7th grade math content includes computing with all rational numbers in all four operations, using the correct order of operations  to simplify expressions, solving problems involving percentages, using proportional reasoning, solving 1 and 2 step equations, multi-step inequalities and extending knowledge of geometry.

Why focus on problem solving in 7th grade?

Excelling at computation is great; excelling at computation but not understanding application is pointless. The purpose of mathematics is to learn to reason, find patterns, and use logic, so solving math problems  that are rich, deep, and complex is necessary to meet those purposes.

Mathematics today has advanced beyond just computation and evolved into a marriage of numbers and words – not only do students need to get to a numerical answer they also need to be able to communicate their thinking and processes along the way. They need repeated practice in reasoning, perseverance, and rational thinking to solve problems throughout their lives.

7th grade is a perfect time to extend problem solving activities in the classroom. The curriculum moves away from much of the memorization required in elementary school of basic addition facts and times tables , and builds on 6th grade content to focus on making connections between mathematical reasoning , logic, and numbers.

28 7th Grade Math Problems

28 7th grade math questions targeting the skills and knowledge needed for the four operations, order of operations, percentages, proportional relationships, one-step and two-step equations, geometry and word problems. Includes answers and explanations.

The 7th grade math curriculum

This article focuses on problems for 7th grade students, especially concepts taught in pre-algebra. Pre-algebra includes concepts of proportional relationships, algebraic expressions, equivalent expressions, equations, rational numbers, graphs, and extension of knowledge of the number system, including whole numbers and mixed numbers. The problems align with common core standards.

Seventh grade math can be considered a turning point in mathematics. It bridges the concepts taught in elementary school, including the foundations of arithmetic and number sense, with the rigor expected ahead in high school courses like Algebra, Geometry, and Statistics.

7th grade math problems

We’ve designed 28 7th grade math problems to use as a whole class or in a Tier 2  or Tier 3 intervention  to help develop and secure students’ mathematical knowledge.  

7th grade math problems: Four operations

• Solve -4 + 10. Use the number line.

Solution :        6

2. Solve: -8 – 12. Use the number line.

Solution :         -20

3. Solve: 4(-3)(-2)

Solution :          24

4. Bill said the answer to -3 – 12 is 9. What mistake did he make? What is the correct answer?

Solution : Bill knows that the opposite of subtraction is addition, but he forgot to take the opposite of 12, so he re-wrote the problem as -3 + 12. Since we are subtracting 12 from -3, the answer is the same as -3+-12, which is -15.

7th grade math problems: Order of operations

5. Solve: 2(10-8) ÷ 2 + 4

    Solution : 2(10-8) ÷ 2 + 4

                    2(2) ÷ 2 + 4

                    4  ÷ 2 + 4

                    2 + 4

                    6

6. Solve: (3 + 10 ÷ 2 – 6) x 6

     Solution : (3 + 10 ÷ 2 – 6) x 6

                    (3 + 5 – 6) x 6

                    (8 – 6) x 6

                     2 x 6

                     12

7. Solve: -5(8) ÷ 2 + 6

    Solution : -5(8) ÷ 2 + 6

                    -40 ÷ 2 + 6

                     -14

8. Solve: (-2)3 – 2 + 6 ÷ 3

    Solution : (-2)3 – 2 + 6 ÷ 3

                     -8  – 2 + 6 ÷ 3

                     -8 – 2 + 2

                     -10 + 2

                     -8

7th grade math problems: Percentages

9. Isabella got 16 out of 40 questions wrong on her quiz. What percent did she get correct?

Solution : \frac{16}{40} can be simplified to \frac{2}{5} , which is equivalent to \frac{40}{100} or 40%. If Isabella got 40% incorrect, she got 60% correct (100-40=60).

10. Without doing any computation, explain whether \frac{38}{72} is greater than or less than 50%.

Solution: \frac{38}{72} is greater than 50%. \frac{36}{72} is equivalent to \frac{1}{2} , which is equivalent to 50%. Since 38 is a little greater than 36, \frac{38}{72} is a little greater than 50%.

11. Put the following in order from least to greatest: \frac{3}{4} , 76%, 0.68, \frac{3}{5} , \frac{35}{50} , 0.702

Solution: \frac{3}{5} , 0.68, \frac{35}{50} , 0.702, \frac{3}{4} , 76%

12. A store marked all shoes on sale for 30% off. What percent will Sam pay for shoes? Explain your answer.

Solution: Sam will pay 70% for shoes. The full price is 100%, so if 30% is saved, the remaining 70% will be the sales price.

7th grade math problems: Proportional relationships

13. \frac{5}{6}  = \frac{x+2}{15}

      Solution: 6( x +2) = 5(15)

                     6 x + 12 = 75

                  -12   -12

                    \frac{6x}{6} = \frac{63}{6}

      x =   10.5

14. Three out of every five students are wearing jeans. If there are 20 students in total, how many are wearing jeans?

Solution: \frac{3}{5}  = \frac{x}{20}

                3 (20) = 5 x

                60 = 5 x

                12 = x

15. Three out of every five students are wearing jeans. If there are 20 students in all, how many are not wearing jeans?

Solution: From the last problem, we saw that \frac{3}{5} is the same as the 12 students wearing jeans. If there are 20 students total, we can subtract the 12 wearing jeans from the 20 total to find that 8 are not wearing jeans. We could also set up this proportion and solve to get 8.

                \frac{2}{5}  = \frac{x}{20}

16. A museum requires 12 chaperones for the 60 students attending the field trip. How many students are assigned to each chaperone?

         \frac{12}{60} = \frac{1}{x}

        12 x = 60(1)

        12 x = 60

          x = 5

Each chaperone will have a group of 5 students.

7th grade math problems: One-step equations and two-step equations

17. Solve: x + 7.1 = 15.9

         Solution:   x + 7.1 = 15.9

                           -7.1      -7.1

                         x = 8.8

18. Solve: x – 63 = 106.75

         Solution: x – 63 = 106.75

                       +63     +63

                         x  = 169.75

 19. Solve: 6( x + 3) = -6

         Solution: 6 x + 18 = -6

                     – 18    -18

                          \frac{6x}{6} = \frac{-24}{6}

                         x = -4

20. Solve: 0.5 x + 10 = 36

         Solution: 0.5 x + 10 = 36

                           -10    -10

                        0.5 x = 26

                        x = 52

7th grade math problems: Geometry

21. Madison measured this angle with her protractor and said “It is 60°.”

Without measuring the angle, Bella said she could tell Madison’s answer was incorrect. How did Bella know this?

Solution : Bella knew this angle could not be 60° because this angle is obtuse

but a 60° angle is acute.

22. Find the circumference of the circle.

Solution: C = πd

            C =  15π

23. Use the figure to fill in the blanks:

Angles A and B are _________________ angles so their measures are _______________________________.

Solution: Angles A and B are vertical  angles so their measures are equal.

24. Find the value of x .

         Solution: 5 x + 4 x =90

                      9 x = 90

                        x = 10

7th grade math problems: Math word problems

25. The 7th Graders at Marxville Middle School voted for their student council representatives. There were 200 votes cast in all. How many votes did the winner get?

Solution: Alexandra won the election with 30% of the votes. To find 30% of the 200 total votes, we can multiply 0.3 (200) to discover that she got 60 votes in all.

26. Brian runs every 12 days and Stella every 8 days. Both Brian and Stella ran today. How many days will it be before they both run on the same day again?

Solution: This is a Least Common Multiple problem. Brian runs on days 12, 24, 36, 48… and Stella runs on days 8, 16, 24, 32…, so they will both run again on Day 24.

27. Mr. Orlando is planting his vegetable garden this summer. He plants \frac{3}{4} of the garden with peppers and \frac{1}{4} with tomatoes. Of the peppers, \frac{1}{3} are red peppers. What fraction of the entire garden will be red peppers?

Solution: Red peppers will make up \frac{1}{3} of \frac{3}{4} (the pepper section) of the garden. \frac{1}{3} x \frac{3}{4} = \frac{1}{4} , so \frac{1}{4} of the entire garden will consist of red peppers.

28. Will the product of -45(96) be positive or negative? Without solving, how do you know?

Solution: The answer will be negative. Multiplying a negative number by a positive one always leads to a negative product.

Challenges in teaching 7th grade mathematics

Let’s face it, most 7th graders don’t wake up every morning excited to get to math class that day to expand on their mathematical knowledge and thinking! Often, there are much more pressing matters in the mind of a 12 year old. However, with the right mindset and classroom climate, we can support our students to help them put forth their best effort every day.

• Praise effort:  Developing a growth mindset in the classroom  is key. Even if a student struggles to come to an answer, it is critical to praise the effort. We must make the thinking part of mathematics something to treasure rather than solely focus on correct numerical answers.
• Include low threshold high ceiling activities: These go a long way in piquing the interest level of most students.
• Have fun:  Don’t be afraid to have some fun math activities  and silliness in your lessons, whether that’s through funny estimation activities  or videos to get students interested, engaged and willing to try.

How can Third Space Learning help with 7th grade math?

STEM-specialist tutors help close learning gaps and address misconceptions for struggling 7th grade math students. One-on-one online math tutoring sessions help students deepen their understanding of the math curriculum and keep up with difficult math concepts. Each student works with a private tutor who adapts instruction and math lesson content in real-time according to the student’s needs to accelerate learning.

4 top tips for teaching 7th grade math problems

Here are some teaching tips to overcome common challenges and support problem solving in your classroom:

• Focus on effort, not accuracy:  Students come into 7th grade with many ideas about math. Many of these ideas are likely negative and may result in some math anxiety . They’ve heard math is hard, you’re never going to use it, it’s confusing. Be excited about what you’re teaching and learning! Praise kids for trying their best, not for always being correct. Consider establishing effort-based reward systems, such as publicly nominating students for Mathematician of the Month.
• Check for understanding:  Be sure students understand questions before they attempt to answer them. Have them rephrase the question or explain what they’re looking for to solve the problem.
• Ask for wrong answers: Students may feel a lack of confidence in math but if you ask them for a wrong answer, they may feel more inclined to answer. It can also prompt students to engage with and make sense of the information given in the problem in a less pressured environment.

Alternatively, as teachers, you can give some suggestions. For example, “3/10 of students got an A on the last test. There are 20 students in the class. How many got an A?” Could 20 of the students have gotten an A? No? Why not? Could 8.5 of the students have gotten an A? Why not? Then get more specific. Did more or less than 10 of the students get an A? How do you know?

• Use relatable, real-world problems:  Sometimes, problem solving uses questions about gas mileage or building fences that kids either don’t relate to or don’t care about. Find out what your students’ interests are and incorporate that into your math instruction. Alternatively, use seasonal and relatable contexts such as Thanksgiving math activities , summer math  or mardi gras math .

7th grade math worksheets

Looking for more resources? Please see our selection of seventh grade math worksheets covering 7th grade key math topics and more. Each includes printable resources and step-by-step answer keys:

• Surface Area Of Rectangular Prisms Worksheet
• Fraction to Decimal Worksheet
• Adding and Subtracting Integers Worksheet
• Adding and Subtracting Scientific Notation Worksheet
• Distributing Exponents Worksheet
• Simplifying Expressions Worksheet

READ MORE :

• 25 Fun Math Problems For Elementary School
• 1st grade math problems
• 2nd grade math problems
• 3rd grade math problems
• 4th grade math problems
• 5th grade math problems
• 6th grade Math Problems
• 8th grade math problems

7th grade math problems FAQ

What math should a 7th grader know?

A 7th grader should be able to compute using all four operations with positive and negative rational numbers. They should be able to simplify expressions, solve one- and two- step equations, and solve proportions. Additionally, 7th graders can work with probability of simple and compound events, as well as study concepts of geometry, including finding angle measurements and solving for area and perimeter of regular and irregular polygons and circles.

What does 7th grade math focus on?

Seventh grade math focuses on working with positive and negative rational numbers in simplifying expressions and equations as well as solving one- and two-step equations. Additionally, extensive work is done in solving proportions and ratios.

Is 7th grade math hard?

Seventh grade math is always achievable! Students who find it hard usually come into the grade without having mastered basic concepts and facts. Be sure students are automatic with facts across addition, subtraction, multiplication, and division and have the ability to work with fractions and decimals. It will make the new concepts in 7th grade easier to learn.

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36 Math Problems For 1st Graders With Answers & Teaching Ideas

30 8th Grade Math Problems: Answers With Worked Examples

28 Math Problems For 2nd Graders With Answers & Teaching Ideas

37 Math Problems For 3rd Graders: Answers With Worked Examples

3rd to 8th Grade Practice Tests

Get ready for your state math test with our 3rd to 8th grade practice assessments. These 6 multiple-choice tests, created by US math experts, cover essential topics and include detailed answers for effective test prep. Aligned with Common Core Standards, they’re the perfect tool to build student confidence.

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Free 7th Grade Math Worksheets

All of the seventh grade math worksheets below are samples from the 7th Grade Math Worksheets Library on our Infinite K-8 Math Worksheet Portal .

Click any of the links below to download the corresponding 7th grade math worksheets and answer key.

▶️: Sample Worksheet Download | 🔒: Worksheet Only Available to Members | 🔽 Jump to a Topic:

Integers and Operations

Ratios & Percents

Fractions and Decimals

Probability

Lengths and Measurement

Exponents and Scientific Notation

Factors and Square Roots

Inequalities

Data and Central Tendency

Word Problems

Welcome to the Mashup Math 7th Grade Math Worksheets Library ! Here you will find 200+ topic-specific printable 7th grade math worksheets. Each worksheet includes a variety of 7th grade math problems and a complete answer key so that students can check their work. Each worksheet can be downloaded as PDF file which can be shared online or by printing.

Our collection of math worksheets for 7th graders are appropriately challenging for 7th grade students and they cover every math skill and topic that is typically covered in the 7th grade—including negative numbers, exponents, factors and radicals, data and graphing, ratios and percents, probability, geometry, solving equations, inequalities, word problems, and more!

All of our free 7th grade math worksheets were designed and created by math teachers with the specific learning needs of 7th grade students in mind. These worksheets are an awesome resource for 7th grade teachers, tutors, and parents of 7th grade students who want to give their students meaningful and engaging opportunities to explore, practice, and learn key math skills.

Our math worksheets for 7th graders are perfect for helping students to review, practice, or learn any math skill or topic at home or in the classroom. If you want to empower your students to feel confident in their math skills, then sharing the right learning materials and resources will make all of the difference. With this in mind, our worksheets are designed to be challenging and engaging rather than monotonous, boring, or overly repetitive.

When you start sharing our 7th grade math problems with your students, you will see that Mashup Math worksheets, unlike most other free math worksheets available online, are carefully created by teachers with experience teaching 7th grade math students. Each worksheet is appropriately difficult and includes a number of problems that is suitable to the attention span of a 7th grade student. When it comes to creating effective math worksheets, we take a quality-over-quantity approach that emphasizes engagement and meaningful learning opportunities over simply repeating monotonous mathematical tasks over and over again.

If you are new to Mashup Math and our unique resources, we suggest continuing onto the free math worksheet library below, where you can download a ton of topic-specific pdf math worksheets for 7th graders. Once you have downloaded a few worksheets, go ahead and share them with your 7th grade students either at home or in your classroom. We’re confident that your students will have an engaging and meaningful learning experience with our worksheets and we’re sure that you will find them to be super handy and an invaluable addition to your teaching resource portfolio.

And, if you want to download the full library of Mashup Math 7th Grade Math Worksheets , then use the link below to sign-up for an annual membership plan, where members gain on-demand access to the Mashup Math K-8 Math Worksheet Portal and over one thousand topic specific math worksheets for all grade levels.

🛑 WAIT! Do you want FREE K-8 math activities, lesson resources, worksheets, and puzzles dropped in your inbox every week? 💁‍♀️

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▶️ Blank Number Lines (positives and negatives)

▶️ Extended Practice: Rounding Decimals and Integers

▶️ Adding 4-digit numbers (vertical)

▶️ Adding 5-digit numbers (vertical)

🔒 Adding 5 and 6-digit numbers (vertical)

▶️ Adding/Subtracting 4 numbers (w/ parenthesis) (A)

🔒 Adding/Subtracting 4 numbers (w/ parenthesis) (B)

▶️ Adding/Subtracting 5 numbers (w/ parenthesis) (A)

🔒 Adding/Subtracting 5 numbers (w/ parenthesis) (B)

▶️ Adding/Subtracting 6 numbers (w/ parenthesis) (A)

🔒 Adding/Subtracting 6 numbers (w/ parenthesis) (B)

▶️ Adding/Subtracting/Multiply (no parenthesis) (3-4 numbers)

🔒 Adding/Subtracting/Multiply (w/parenthesis) (3-4 numbers)

▶️ Adding/Subtracting/Multiply (no parenthesis) (5-6 numbers)

🔒 Adding/Subtracting/Multiply (w/parenthesis) (5-6 numbers)

▶️ Multiplying 4-digit numbers by 1-digit numbers

▶️ Multiplying 5-digit numbers by 1-digit numbers

🔒 Multiplying 3-digit numbers by 2-digit numbers

▶️ Multiplying 4-digit numbers by 2-digit numbers

▶️ Multiplying 3-digit numbers by 3-digit numbers

🔒 Multiplying 4-digit numbers by 3-digit numbers

▶️ Long division with remainders (divisors 10-25) (A)

🔒 Long division with remainders (divisors 10-25) (B)

▶️ Long division with remainders (divisors 10-99) (A)

🔒 Long division with remainders (divisors 10-99) (B)

▶️ Long Division Quick Practice (1 and 2-digit divisors) (A)

▶️ Long Division Quick Practice (1 and 2-digit divisors) (B)

🔒 Long Division Quick Practice (1 and 2-digit divisors) (C)

🔒 Long Division Quick Practice (1 and 2-digit divisors) (D)

▶️ Long division estimation (multiple choice) (A)

🔒 Long division estimation (multiple choice) (B)

▶️ Commutative property of Multiplication (A)

🔒 Commutative property of Multiplication (B)

▶️ Associative property of Multiplication (A)

🔒 Associative property of Multiplication (B)

▶️ Practice with the Distributive Property (Algebra) (A)

▶️ Practice with the Distributive Property (Algebra) (B)

🔒 Practice with the Distributive Property (Algebra) (C)

▶️ Comparing integers using > or < (A)

🔒 Comparing integers using > or < (B)

▶️ Ordering integers (A)

🔒 Ordering integers (B)

▶️ Integers on the number line (A)

🔒 Integers on the number line (B)

🔒 Integers on the number line (C)

▶️ Adding integers (2-terms) (A)

🔒 Adding integers (2-terms) (B)

▶️ Adding integers (3-terms) (A)

🔒 Adding integers (3-terms) (B)

▶️ Subtracting integers (numbers to 25) (A)

🔒 Subtracting integers (numbers to 25) (B)

▶️ Subtracting integers (numbers to 100) (A)

🔒 Subtracting integers (numbers to 100) (B)

▶️ Add/Subtract Integers Using a Number Line (A)

🔒 Add/Subtract Integers Using a Number Line (B)

🔒 Add/Subtract Integers Using a Number Line (C)

▶️ Multiplying integers (A)

🔒 Multiplying integers (B)

▶️ Multiplying integers (missing factors) (A)

🔒 Multiplying integers (missing factors) (B)

▶️ Dividing integers (A)

🔒 Dividing integers (B)

▶️ Dividing integers (missing factors) (A)

🔒 Dividing integers (missing factors) (B)

▶️ Mixed multiplying and dividing integers (A)

🔒 Mixed multiplying and dividing integers (B)

▶️ Practice with Absolute Values (A)

🔒 Practice with Absolute Values (B)

🔒 Practice with Absolute Values (C)

▶️ Extra practice (order of operations up to 6 terms) (A)

🔒 Extra practice (order of operations up to 6 terms) (B)

▶️ Extra practice (order of operations up to 6 terms) (C)

▶️ Practice: Order of Operations with Exponents (A)

▶️ Practice: Order of Operations with Exponents (B)

🔒 Practice: Order of Operations with Exponents (C)

🔒 Practice: Order of Operations with Exponents (D)

▶️ Practice: Order of Operations with Nested Parenthesis (A)

🔒 Practice: Order of Operations with Nested Parenthesis (B)

🔒 Practice: Order of Operations with Nested Parenthesis (C)

▶️ Extended Practice: Order of Operations

▶️ Equivalent fractions practice (A)

▶️ Equivalent fractions practice (B)

🔒 Equivalent fractions practice (C)

▶️ Adding Fractions (common denominators) (A)

🔒 Adding Fractions (common denominators) (B)

▶️ Subtracting Fractions (common denominators) (A)

🔒 Subtracting Fractions (common denominators) (B)

▶️ Adding Fractions (unlike denominators) (A)

🔒 Adding Fractions (unlike denominators) (B)

▶️ Subtracting Fractions (unlike denominators) (A)

🔒 Subtracting Fractions (unlike denominators) (B)

▶️ Mixed Adding/Subtracting Fractions (Unlike Denominators)

▶️ Adding Mixed Numbers (A)

🔒 Adding Mixed Numbers (B)

🔒 Adding Mixed Numbers (C)

▶️ Adding Fractions and Mixed Numbers (A)

🔒 Adding Fractions and Mixed Numbers (B)

▶️ Adding Fractions Extended Practice

▶️ Subtracting Mixed Numbers (A)

🔒 Subtracting Mixed Numbers (B)

🔒 Subtracting Mixed Numbers (C)

▶️ Subtracting Mixed Fractions from Whole Numbers (A)

🔒 Subtracting Mixed Fractions from Whole Numbers (B)

▶️ Subtracting Fractions Extended Practice

▶️ Add/Subtract Fractions and Mixed Numbers Extended Practice

▶️ Converting mixed numbers to improper fractions (A)

🔒 Converting mixed numbers to improper fractions (B)

▶️ Converting improper fractions to mixed numbers (A)

🔒 Converting improper fractions to mixed numbers (B)

▶️ Multiplying fractions and whole numbers (A)

🔒 Multiplying fractions and whole numbers (B)

▶️ Multiplying Fractions and Whole Numbers Extended Practice

▶️ Multiplying fractions and whole numbers (missing factor) (A)

🔒 Multiplying fractions and whole numbers (missing factor) (B)

▶️ Multiplying fractions (intermediate) (A)

🔒 Multiplying fractions (intermediate) (B)

▶️ Multiplying fractions (missing factors) (A)

🔒 Multiplying fractions (missing factors) (B)

▶️ Multiplying Fractions by Fractions Extended Practice

▶️ Multiplying improper fractions (A)

🔒 Multiplying improper fractions (B)

▶️ Multiplying fractions by mixed numbers (A)

🔒 Multiplying fractions by mixed numbers (B)

▶️ Multiplying mixed numbers (A)

🔒 Multiplying mixed numbers (B)

▶️ Divide whole numbers by fractions (A)

🔒 Divide whole numbers by fractions (B)

▶️ Divide fractions by whole numbers (A)

🔒 Divide fractions by whole numbers (B)

▶️ Dividing fractions (easy) (A)

🔒 Dividing fractions (easy) (B)

▶️ Dividing fractions (intermediate) (A)

🔒 Dividing fractions (intermediate) (B)

▶️ Dividing Fractions Extended Practice

▶️ Dividing mixed numbers by fractions (A)

🔒 Dividing mixed numbers by fractions (B)

▶️ Dividing mixed numbers by mixed numbers (A)

🔒 Dividing mixed numbers by mixed numbers (B)

▶️ Converting fractions to decimals (A)

🔒 Converting fractions to decimals (B)

🔒 Converting fractions to decimals (C)

▶️ Converting Between Fractions & Decimals Extended Practice

▶️ Converting mixed numbers to decimals (A)

🔒 Converting mixed numbers to decimals (B)

▶️ Comparing decimals >, <, or = (A)

🔒 Comparing decimals >, <, or = (B)

▶️ Adding decimals practice (A)

🔒 Adding decimals practice (B)

🔒 Adding decimals practice (C)

▶️ Decimal addition (missing number) (A)

🔒 Decimal addition (missing number) (B)

▶️ Subtracting decimals practice (A)

🔒 Subtracting decimals practice (B)

🔒 Subtracting decimals practice (C)

▶️ Decimal subtraction (missing number) (A)

🔒 Decimal subtraction (missing number) (B)

▶️ Adding and subtracting decimals (mixed practice)

▶️ Adding and Subtracting Decimals Extended Practice

▶️ Multiply decimals by 10 or 100 (A)

🔒 Multiply decimals by 10 or 100 (B)

▶️ Multiply decimals by 10, 100, or 1,000

🔒 Multiply 3-digit decimals by 10, 100, or 1000

▶️ Multiplying Decimals by 10/100/1,000 Extended Practice

▶️ Missing factors: decimals x 10, 100 or 1,000 (missing factor) (A)

🔒 Missing factors: decimals x 10, 100 or 1,000 (missing factor) (B)

▶️ Multiplying whole numbers by decimals (1-digit)

▶️ Multiplying whole numbers by decimals (2-digit)

🔒 Multiplying whole numbers by decimals (1 and 2-digit)

▶️ Multiplying whole numbers by decimals (missing factor) (A)

🔒 Multiplying whole numbers by decimals (missing factor) (B)

▶️ Multiplying decimals by decimals (A)

🔒 Multiplying decimals by decimals (B)

▶️ Multiplying decimals by decimals (missing factor) (A)

🔒 Multiplying decimals by decimals (missing factor) (B)

▶️ Dividing decimals by whole numbers (A)

🔒 Dividing decimals by whole numbers (B)

▶️ Dividing decimals by decimals (A)

🔒 Dividing decimals by decimals (B)

▶️ Multiplying and Dividing Decimals Extended Practice

▶️ Convert between inches, feet, and yards (A)

🔒 Convert between inches, feet, and yards (B)

▶️ Convert between centimeters, millimeters, and meters (A)

🔒 Convert between centimeters, millimeters, and meters (B)

▶️ Convert between ounces and pounds (A)

🔒 Convert between ounces and pounds (B)

▶️ Convert between kilograms and grams (A)

🔒 Convert between kilograms and grams (B)

▶️ Convert between cups, pints, quarts, and gallons (A)

🔒 Convert between cups, pints, quarts, and gallons (B)

▶️ Convert between liters and milliliters (A)

🔒 Convert between liters and milliliters (B)

▶️ Practice reading a thermometer (Fahrenheit)

🔒 Practice reading a thermometer (Celsius)

▶️ Converting between Fahrenheit and Celsius (A)

🔒 Converting between Fahrenheit and Celsius (B)

▶️ Writing exponents (A)

🔒 Writing exponents (B)

▶️ Evaluating exponents (A)

🔒 Evaluating exponents (B)

▶️ Powers of 10 (A)

🔒 Powers of 10 (B)

▶️ Negative or zero exponents (A)

🔒 Negative or zero exponents (B)

▶️ Multiplying Exponents with the Same Base (A)

🔒 Multiplying Exponents with the Same Base (B)

▶️ Dividing Exponents with the Same Base (A)

🔒 Dividing Exponents with the Same Base (B)

▶️ Power to a Power (A)

🔒 Power to a Power (B)

▶️ Practice with Scientific Notation (A)

🔒 Practice with Scientific Notation (B)

🔒 Practice with Scientific Notation (C)

▶️ Extended Practice: Scientific Notation (A)

🔒 Extended Practice: Scientific Notation (B)

🔒 Extended Practice: Scientific Notation (C)

▶️ Identifying prime numbers (A)

🔒 Identifying prime numbers (B)

▶️ Factoring numbers (up to 50) (A)

🔒 Factoring numbers (up to 50) (B)

▶️ Factoring numbers (up to 100) (A)

🔒 Factoring numbers (up to 100) (B)

🔒 Factoring numbers (up to 100) (C)

▶️ Finding Greatest Common Factor (GCF) (A)

🔒 Finding Greatest Common Factor (GCF) (B)

▶️ Finding Least Common Multiple (LCM) (A)

🔒 Finding Least Common Multiple (LCM) (B)

▶️ Extended Practice: Finding GCF and LCM

▶️ Prime factor trees (A)

🔒 Prime factor trees (B)

🔒 Prime factor trees (C)

▶️ Identifying prime factors (up to 50) (A)

🔒 Identifying prime factors (up to 50) (B)

▶️ Identifying prime factors (up to 100) (A)

🔒 Identifying prime factors (up to 100) (B)

🔒 Identifying prime factors (up to 100) (C)

▶️ Practice with square roots (A)

🔒 Practice with square roots (B)

🔒 Practice with square roots (C)

▶️ Estimating Square Roots of Non-Perfect Squares (A)

🔒 Estimating Square Roots of Non-Perfect Squares (B)

▶️ Simplifying Radicals (A)

🔒 Simplifying Radicals (B)

▶️ Adding and Subtracting Radicals (A)

🔒 Adding and Subtracting Radicals (B)

▶️ Multiplying and Dividing Radicals (A)

🔒 Multiplying and Dividing Radicals (B)

▶️ Making double bar graphs (A)

🔒 Making double bar graphs (B)

🔒 Making double bar graphs (C)

▶️ Analyzing double bar graphs (A)

🔒 Analyzing double bar graphs (B)

🔒 Analyzing double bar graphs (C)

▶️ Practice with pie charts (A)

▶️ Practice with pie charts (B)

🔒 Practice with pie charts (C)

🔒 Practice with pie charts (D)

▶️ Reading Line Plots (A)

🔒 Reading Line Plots (B)

🔒 Reading Line Plots (C)

▶️ Making Line Plots (A)

🔒 Making Line Plots (B)

▶️ Line Plots with Fractions (A)

🔒 Line Plots with Fractions (B)

▶️ Reading Venn Diagrams (A)

🔒 Reading Venn Diagrams (B)

🔒 Reading Venn Diagrams (C)

▶️ Blank Venn Diagram (2 circles)

▶️ Blank Venn Diagram (3 circles)

▶️ Making Stem-and-Lead Plots (A)

🔒 Making Stem-and-Lead Plots (B)

▶️ Reading Stem-and-Lead Plots (A)

🔒 Reading Stem-and-Lead Plots (B)

▶️ Drawing line graphs (A)

🔒 Drawing line graphs (B)

▶️ Analyzing line graphs (A)

▶️ Analyzing line graphs (B)

🔒 Analyzing line graphs (C)

🔒 Analyzing line graphs (D)

▶️ Drawing Double Line Graphs (A)

🔒 Drawing Double Line Graphs (B)

▶️ Analyzing Double Line Graphs (A)

🔒 Analyzing Double Line Graphs (B)

🔒 Analyzing Double Line Graphs (C)

▶️ Making Box-and-Whisker Plots (A)

🔒 Making Box-and-Whisker Plots (B)

🔒 Making Box-and-Whisker Plots (C)

▶️ Analyzing Box-and-Whisker Plots (A)

🔒 Analyzing Box-and-Whisker Plots (B)

🔒 Analyzing Box-and-Whisker Plots (C)

▶️ Practice with Mean, Median, and Mode (A)

▶️ Practice with Mean, Median, and Mode (B)

🔒 Practice with Mean, Median, and Mode (C)

🔒 Practice with Mean, Median, and Mode (D)

▶️ Mean, Median, and Mode Playing Cards Activity

▶️ Practice with Scatter Plots (A)

🔒 Practice with Scatter Plots (B)

▶️ Solving simple proportions (A)

🔒 Solving simple proportions (B)

🔒 Solving simple proportions (C)

▶️ Simplifying ratios (A)

🔒 Simplifying ratios (B)

▶️ Similar Triangles (A)

🔒 Similar Triangles (B)

▶️ Converting between decimals and percents (A)

🔒 Converting between decimals and percents (B)

▶️ Finding the percent of a given number (A)

🔒 Finding the percent of a given number (B)

🔒 Finding the percent of a given number (C)

▶️ A is what percent of B? (A)

🔒 A is what percent of B? (B)

🔒 A is what percent of B? (C)

▶️ Practice with Percents (Mixed) (A)

🔒 Practice with Percents (Mixed) (B)

▶️ Finding percent increase/decrease (A)

🔒 Finding percent increase/decrease (B)

▶️ Calculating Discount, Sales Tax, and Tip (A)

🔒 Calculating Discount, Sales Tax, and Tip (B)

🔒 Calculating Discount, Sales Tax, and Tip (C)

▶️ Calculating Simple Interest (A)

🔒 Calculating Simple Interest (B)

▶️ Calculating Compound Interest (A)

🔒 Calculating Compound Interest (B)

▶️ Probability diagrams with questions (A)

🔒 Probability diagrams with questions (B)

🔒 Probability diagrams with questions (C)

▶️ Probability Practice: 6-Sided Dice (x1)

▶️ Probability Practice: Spinning Wheel

🔒 Probability Practice: Playing Cards

▶️ Probability Practice: Dart Board

🔒 Probability Practice: Lottery

▶️ Estimating Probabilities Using Data (A)

🔒 Estimating Probabilities Using Data (B)

▶️ Chance Experiments (Equally Likely Outcomes)

🔒 Chance Experiments (Unequally Likely Outcomes)

▶️ Compound Probability Practice (A)

🔒 Compound Probability Practice (B)

▶️ Probability Practice: Three Coins

🔒 Probability Practice: Two Dice (6-Sided)

▶️ Naming Angles (A)

🔒 Naming Angles (B)

▶️ Angle pair relationships (A)

🔒 Angle pair relationships (B)

▶️ Parallel Lines Cut by a Transversal: Classifying (A)

🔒 Parallel Lines Cut by a Transversal: Classifying (B)

▶️ Parallel Lines Cut by a Transversal: True or False? (A)

🔒 Parallel Lines Cut by a Transversal: True or False? (B)

▶️ Parallel Lines Cut by a Transversal: 1 Missing Angle (A)

🔒 Parallel Lines Cut by a Transversal: 1 Missing Angle (B)

▶️ Parallel Lines Cut by a Transversal: 2 Missing Angles (A)

🔒 Parallel Lines Cut by a Transversal: 2 Missing Angles (B)

▶️ Parallel Lines Cut by a Transversal: Algebraic (A)

🔒 Parallel Lines Cut by a Transversal: Algebraic (B)

🔒 Naming Three-Dimensional Shapes

▶️ Extended Practice: Identifying three-dimensional figures

▶️ Drawing lines of symmetry (A)

🔒 Drawing lines of symmetry (B)

▶️ Find the perimeter (A)

🔒 Find the perimeter (B)

🔒 Find the perimeter (C)

▶️ Find the area of each rectangle (A)

🔒 Find the area of each rectangle (B)

🔒 Find the area of each rectangle (C)

▶️ Draw the figure given the area (using a grid) (A)

🔒 Draw the figure given the area (using a grid) (B)

🔒 Draw the figure given the area (using a grid) (C)

▶️ Find area/perimeter of irregular rectangular shapes (A)

🔒 Find area/perimeter of irregular rectangular shapes (B)

🔒 Find area/perimeter of irregular rectangular shapes (C)

▶️ Exploring area and perimeter using cheez-its (pdf guide)

↪ Activity Tutorial Video Link

▶️ Classifying lines, line segments, and rays (A)

🔒 Classifying lines, line segments, and rays (B)

▶️ Classifying angles: right, acute, or obtuse (A)

🔒 Classifying angles: right, acute, or obtuse (B)

▶️ Classifying parallel and perpendicular lines (A)

🔒 Classifying parallel and perpendicular lines (B)

▶️ Estimating angle measures (A)

🔒 Estimating angle measures (B)

▶️ Classifying Triangles (A)

🔒 Classifying Triangles (B)

▶️ Find area of right triangles (A)

🔒 Find area of right triangles (B)

▶️ Find area of triangles (A)

🔒 Find area of triangles (B)

▶️ Find area of parallelograms (A)

🔒 Find area of parallelograms (B)

▶️ Find area of trapezoids (A)

🔒 Find area of trapezoids (B)

▶️ Classifying Quadrilaterals (A)

🔒 Classifying Quadrilaterals (B)

▶️ Measure angles using a protractor (A)

🔒 Measure angles using a protractor (B)

▶️ Find the circumference of a circle (A)

🔒 Find the circumference of a circle (B)

▶️ Find the area of a circle (A)

🔒 Find the area of a circle (B)

▶️ Find the volume of a rectangular prism (A)

🔒 Find the volume of a rectangular prism (B)

▶️ Find the surface area of a rectangular prism (A)

🔒 Find the surface area of a rectangular prism (B)

▶️ Find the volume of a sphere (A)

🔒 Find the volume of a sphere (B)

▶️ Find the volume of a cylinder (A)

🔒 Find the volume of a cylinder (B)

▶️ Find the volume of a cone (A)

🔒 Find the volume of a cone (B)

▶️ Find the surface area of a sphere (A)

🔒 Find the surface area of a sphere (B)

▶️ Find the surface area of a cylinder (A)

🔒 Find the surface area of a cylinder (B)

▶️ Find the surface area of a cone (A)

🔒 Find the surface area of a cone (B)

▶️ Plotting Points (All Quadrants) (A)

🔒 Plotting Points (All Quadrants) (B)

▶️ Reading Points (All Quadrants) (A)

🔒 Reading Points (All Quadrants) (B)

▶️ Pok émon Coordinate Points Activity

▶️ Translations on the coordinate plane (A)

🔒 Translations on the coordinate plane (B)

▶️ Rotations on the coordinate plane (A)

🔒 Rotations on the coordinate plane (B)

▶️ Reflections on the coordinate plane (A)

🔒 Reflections on the coordinate plane (B)

▶️ Dilations on the coordinate plane (A)

🔒 Dilations on the coordinate plane (B)

▶️ Midpoint formula (A)

🔒 Midpoint formula (B)

▶️ Distance formula (A)

🔒 Distance formula (B)

▶️ Practice with the Pythagorean Theorem (A)

▶️ Practice with the Pythagorean Theorem (B)

🔒 Practice with the Pythagorean Theorem (C)

🔒 Practice with the Pythagorean Theorem (D)

🔒 Practice with the Pythagorean Theorem (E)

▶️ Translating variable expressions into words (A)

🔒 Translating variable expressions into words (B)

▶️ Translating variable equations into words (A)

🔒 Translating variable equations into words (B)

▶️ Writing algebraic expressions (one step) (A)

🔒 Writing algebraic expressions (one step) (B)

🔒 Writing algebraic expressions (one step) (C)

▶️ Writing algebraic expressions (one or two step) (A)

🔒 Writing algebraic expressions (one or two step) (B)

🔒 Writing algebraic expressions (one or two step) (C)

▶️ Evaluating expressions (add/subtract) (one variable) (A)

🔒 Evaluating expressions (add/subtract) (one variable) (B)

▶️ Evaluating expressions (multiply/divide) (one variable) (A)

🔒 Evaluating expressions (multiply/divide) (one variable) (B)

▶️ Evaluating expressions (4 operations) (one variable) (A)

🔒 Evaluating expressions (4 operations) (one variable) (B)

▶️ Evaluating expressions (w/ exponents) (one variable) (A)

🔒 Evaluating expressions (w/ exponents) (one variable) (B)

▶️ Evaluating expressions (add/subtract) (two variables) (A)

🔒 Evaluating expressions (add/subtract) (two variables) (B)

▶️ Evaluating expressions (multiply/divide) (two variables) (A)

🔒 Evaluating expressions (multiply/divide) (two variables) (B)

▶️ Evaluating expressions (4 operations) (two variables) (A)

🔒 Evaluating expressions (4 operations) (two variables) (B)

▶️ Evaluating expressions (w/ exponents) (two variables) (A)

🔒 Evaluating expressions (w/ exponents) (two variables) (B)

▶️ Simplifying expressions (combine like terms) (A)

🔒 Simplifying expressions (combine like terms) (B)

🔒 Simplifying expressions (combine like terms) (C)

▶️ Extra Practice: Combining Like Terms (A)

🔒 Extra Practice: Combining Like Terms (B)

▶️ Solving one-step algebraic equations (add/subtract) (A)

🔒 Solving one-step algebraic equations (add/subtract) (B)

▶️ Solving one-step algebraic equations (multiply/divide) (A)

🔒 Solving one-step algebraic equations (multiply/divide) (B)

▶️ Solving one-step algebraic equations (4 operations) (A)

🔒 Solving one-step algebraic equations (4 operations) (B)

🔒 Solving one-step algebraic equations (4 operations) (C)

▶️ Extended Practice: Solving One-Step Equations (A)

🔒 Extended Practice: Solving One-Step Equations (B)

▶️ Solving two-step algebraic equations (A)

🔒 Solving two-step algebraic equations (B)

🔒 Solving two-step algebraic equations (C)

▶️ Solving Two-Step Equations Extended Practice (A)

🔒 Solving Two-Step Equations Extended Practice (B)

▶️ Solving 2-sided algebraic equations (A)

🔒 Solving 2-sided algebraic equations (B)

🔒 Solving 2-sided algebraic equations (C)

▶️ Solving Multi-Step Equations Extended Practice (Beginner)

🔒 Solving Multi-Step Equations Extended Practice (Intermediate)

🔒 Solving Multi-Step Equations Extended Practice (Advanced)

▶️ Completing two variable equation tables (A)

🔒 Completing two variable equation tables (B)

🔒 Completing two variable equation tables (C)

▶️ Writing equations using tables (A)

🔒 Writing equations using tables (B)

🔒 Writing equations using tables (C)

▶️ Solving multi-step equations (A)

🔒 Solving multi-step equations (B)

🔒 Solving multi-step equations (C)

▶️ Factoring monomials (A)

🔒 Factoring monomials (B)

▶️ Adding and subtracting polynomials (A)

🔒 Adding and subtracting polynomials (B)

▶️ Multiplying binomials (A)

🔒 Multiplying binomials (B)

▶️ Multiplying Polynomials - Basic (A)

🔒 Multiplying Polynomials - Basic (B)

▶️ Multiplying Polynomials - Intermediate (A)

🔒 Multiplying Polynomials - Intermediate (B)

▶️ Multiplying Polynomials - Advanced (A)

🔒 Multiplying Polynomials - Advanced (B)

▶️ Dividing polynomials (A)

🔒 Dividing polynomials (B)

▶️ Factoring the difference of two squares (A)

🔒 Factoring the difference of two squares (B)

▶️ Factoring Trinomials (a=1) (A)

🔒 Factoring Trinomials (a=1) (B)

▶️ Extended Practice: Factoring Trinomials (a=1)

▶️ Factoring Trinomials (a>1) (A)

🔒 Factoring Trinomials (a>1) (B)

▶️ Extended Practice: Factoring Trinomials (a>1)

▶️ Factoring/Solving Trinomials by Completing the Square (A)

🔒 Factoring/Solving Trinomials by Completing the Square (B)

▶️ Factoring Polynomials by Grouping (A)

🔒 Factoring Polynomials by Grouping (B)

▶️ Finding slope from a graph (A)

🔒 Finding slope from a graph (B)

▶️ Finding slope using a formula (A)

🔒 Finding slope using a formula (B)

▶️ Graphing lines in slope-intercept form (A)

🔒 Graphing lines in slope-intercept form (B)

🔒 Graphing lines in slope-intercept form (C)

▶️ Solving linear systems of equations by graphing (A)

🔒 Solving linear systems of equations by graphing (B)

🔒 Solving linear systems of equations by graphing (C)

▶️ Quadratic Formula Practice (A)

🔒 Quadratic Formula Practice (B)

🔒 Quadratic Formula Practice (C)

▶️ Graphing single-variable inequalities on a number line (A)

🔒 Graphing single-variable inequalities on a number line (B)

▶️ Solving one-step inequalities (A)

🔒 Solving one-step inequalities (B)

▶️ Solving two-step inequalities (A)

🔒 Solving two-step inequalities (B)

▶️ Solving multi-step inequalities (A)

🔒 Solving multi-step inequalities (B)

▶️ Graphing linear inequalities on the coordinate plane (A)

🔒 Graphing linear inequalities on the coordinate plane (B)

🔒 Graphing linear inequalities on the coordinate plane (C)

▶️ Graphing systems of inequalities (A)

🔒 Graphing systems of inequalities (B)

🔒 Graphing systems of inequalities (C)

▶️ Mixed multiplication and division word problems (A)

▶️ Mixed multiplication and division word problems (B)

🔒 Mixed multiplication and division word problems (C)

🔒 Mixed multiplication and division word problems (D)

▶️ Mixed 4 operations word problems (A)

🔒 Mixed 4 operations word problems (B)

🔒 Mixed 4 operations word problems (C)

▶️ Shopping word problems (money counting) (A)

🔒 Shopping word problems (money counting) (B)

🔒 Shopping word problems (money counting) (C)

▶️ Estimation and rounding word problems

▶️ Measurement word problems (in, ft, and yds) (A)

🔒 Measurement word problems (in, ft, and yds) (B)

▶️ Measurement word problems (cm, mm, and m) (A)

🔒 Measurement word problems (cm, mm, and m) (B)

▶️ Length word problems (in inches) (A)

🔒 Length word problems (in inches) (B)

▶️ Length word problems (in centimeters) (A)

🔒 Length word problems (in centimeters) (B)

▶️ Adding/Subtracting decimals word problems (A)

🔒 Adding/Subtracting decimals word problems (B)

🔒 Adding/Subtracting decimals word problems (C)

▶️ Adding/Subtracting fractions word problems (A)

🔒 Adding/Subtracting fractions word problems (B)

▶️ Adding/Subtracting fractions word problems (easy) (C)

🔒 Adding/Subtracting fractions word problems (advanced) (D)

▶️ Multiplying fractions by whole numbers word problems (A)

🔒 Multiplying fractions by whole numbers word problems (B)

▶️ Fractions and expressions word problems (A)

🔒 Fractions and expressions word problems (B)

▶️ Variables and expressions word problems (A)

🔒 Variables and expressions word problems (B)

🔒 Variables and expressions word problems (C)

▶️ Variables and equations word problems (A)

🔒 Variables and equations word problems (B)

🔒 Variables and equations word problems (C)

▶️ Solving One-Step and Two-Step Equations Word Problems (A)

🔒 Solving One-Step and Two-Step Equations Word Problems (B)

▶️ Scientific Notation Word Problems (A)

🔒 Scientific Notation Word Problems (B)

▶️ GCF and LCM Word Problems (A)

🔒 GCF and LCM Word Problems (B)

▶️ Ratio word problems (A)

🔒 Ratio word problems (B)

▶️ Proportion word problems (A)

🔒 Proportion word problems (B)

▶️ Percents word problems (A)

🔒 Percents word problems (B)

▶️ Percent Increase/Decrease Word Problems (A)

🔒 Percent Increase/Decrease Word Problems (B)

▶️ Markup, discount, and tax word problems (A)

🔒 Markup, discount, and tax word problems (B)

🔒 Markup, discount, and tax word problems (C)

▶️ Area of a circle word problems (A)

🔒 Area of a circle word problems (B)

▶️ Circumference of a circle word problems (A)

🔒 Circumference of a circle word problems (B)

▶️ Area and perimeter of a rectangle word problems (A)

🔒 Area and perimeter of a rectangle word problems (B)

▶️ Volume of rectangular prism word problems (A)

🔒 Volume of rectangular prism word problems (B)

🔒 Volume of rectangular prism word problems (C)

▶️ Pythagorean Theorem word problems (A)

🔒 Pythagorean Theorem word problems (B)

🔒 Pythagorean Theorem word problems (C)

▶️ Distance, rate, and time word problems (A)

🔒 Distance, rate, and time word problems (B)

▶️ Multi-step Word Problem: Snappy Rental Car

▶️ Multi-step Word Problem: Neil’s Square Paper

🔒 Multi-step Word Problem: Lilly Goes Shopping

🔒 Multi-step Word Problem: Pumpkins and Watermelons

🔒 Multi-step Word Problem: Alejandro’s Rock Collection

🛑 Stop! Looking to Unlock ALL of Our 7th Grade Math Worksheets?

When you sign up for the Mashup Math Infinite K-8 Worksheet Portal, you will gain on-demand access to our complete 7th Grade Math Worksheets Library!

▶️ Click here to gain on-demand access to all of our 7th Grade math worksheets

Why Our Math Worksheets for 7th Graders Will Work For Your Students

Once you start sharing some of our 7th grade math problems with your students, you will start to see why Mashup Math resources are an effective and engaging tool for supporting your students and their math skill development. While there are many free math worksheet libraries available online, we believe that our worksheets are a step above the rest for several reasons.

For starters, our worksheets are just simply focused on having students practice a repetitive mathematical task by solving the same type of problem over and over. Instead, our worksheets are designed with a focus on having students engage in deep mathematical thinking and to apply their math skills to becoming better mathematical thinkers and problem solvers. Because our math problems for 7th graders emphasize engagement and deep thinking, our resources are a great tool for helping students to actually explore and learn math (rather than just doing busy work or practicing memorization).

We believe that sharing 7th grade math resources that are fun and engaging will help your students to learn to enjoy math and will increase their chances of being successful at math in high school, college, and beyond.

Mashup Math 7th Grade Math Worksheets are designed to help students to engage in deep mathematical thinking and problem-solving. (Image: Mashup Math MJ)

So, what are some of the best ways to implement our 7th grade math worksheets in your upcoming lessons? Here are a few ideas:

have students independently practice a new math skill

opportunities for extra practice or extra credit

as a warm-up activity during the first few minutes of class

as a cool-down activity during the final few minutes of class

for homework assignments

share with students to review previously learned topics

use to review for an upcoming assessment

as a graded exam or assessment (quiz, test, etc.)

While you have many options for how you can use our math problems for 7th graders with your students, all of them can be excellent opportunities for helping your students to develop their math skills and their overall confidence. When you give your students meaningful experiences to interact and engage with math in a fun and engaging way, you are supporting their overall development and their ability to continue being success at math as they move onto more challenging topics, including algebra.

Effective math teachers have several useful teaching tools and resources at their disposal, including topic-specific practice worksheets. But, when it comes to choosing worksheets that will work best with your 7th grade students, it’s important to pick ones that your students will find enjoyable, engaging, and appropriately challenging (rather than boring and monotonous). When you choose resources that make practicing and learning mathematics fun and engaging, you are helping students to grow as mathematicians and equipping them to enjoy math and want to continuing pursuing higher levels of mathematics in high school and beyond.

Do you want more 7th Grade Math Worksheets? Click here to gain access to our complete library of worksheets and answer keys , where you can gain on-demand access to ALL of our math worksheets for 7th graders.

7th Grade Math Problems

In 7th grade math problems you will get all types of examples on different topics along with the solutions.

Keeping in mind the mental level of child in Grade 7, every efforts has been made to introduce new concepts in a simple language, so that the child understands them easily. The difficulty level of the problems has been reduced and mathematical concepts have been explained in the simplest possible way. Each topic contains a large number of examples to understand the applications of concepts. If student follow math-only-math they can improve their knowledge by practicing the solutions step by step which will help you to score in your exam.

●  Set Theory

Sets : An introduction to sets, methods for defining sets, element of set and use of set notations.

Objects Form a Set : State, whether the following objects form a set or not by giving reasons.

Elements of a Set : Learn how to find the elements of a set with the help of various types of problems on the basic concepts of sets.

Properties of Sets : Using the basic properties to represent a set learn to solve various basic types of problems on sets.

Representation of a Set : Definition with examples of statement form, roster form or tabular form, set builder form cardinal number of a set and the standard sets of numbers.

Different Notations in Sets : Some of the familiar notations used in sets which are generally required to solve various types of problems on sets.

Standard Sets of Numbers : Learn to represent the standard sets of numbers using the three methods i.e. statement form, roster form and set builder form.

Types of Sets : Definition with examples of empty set or null set, singleton set, finite set, infinite set, cardinal number of a set, equivalent set and equal sets.

Pairs of Sets : Definition with examples of equal set, equivalent set, disjoint sets and overlapping set.

Subset : Definition with examples of subset and its types, super set, proper subset, power set and universal set.

Subsets of a Given Set : How to find the number of subsets of a given set and number of proper subsets of a given set.

Operations on Sets : Learn the meaning. What are the four basic operations on sets? How the operations are carried out in union of sets and intersection of sets?

Union of Sets : Definition of union of sets with examples. Learn how to find the union of two sets and worked-out examples.

Intersection of Sets : Definition of intersection of sets with examples. Learn how to find the intersection of two sets and worked-out examples.

Difference of two Sets : Learn how to find the difference between the two sets and worked-out examples.

Complement of a Set : Definition of complement of a set and their properties with some worked-out examples.

Cardinal number of a set : Definition of a cardinal number of a set, the symbol used for showing the cardinal number, worked-out examples.

Cardinal Properties of Sets : Learn how to solve the real-life word problems on set using the cardinal properties.

Venn Diagrams : Learn to represent the basic concepts of sets using Venn-diagram in different situations.

● Relations and Mapping

Ordered Pair

Cartesian Product of Two Sets

Domain and Range of a Relation

Functions or Mapping

Domain Co-domain and Range of Function

● Relations and Mapping - Worksheets

Worksheet on Math Relation

Worksheet on Functions or Mapping

● Numbers - Integers

Multiplication of Integers

Properties of Multiplication of Integers

Examples on Multiplication of Integers

Division of Integers

Absolute Value of an Integer

Comparison of Integers

Properties of Division of Integers

Examples on Division of Integers

Fundamental Operation

Examples on Fundamental Operations

Uses of Brackets

Removal of Brackets

Examples on Simplification

● Numbers - Worksheets

Worksheet on Multiplication of Integers

Worksheet on Division of Integers

Worksheet on Fundamental Operation

Worksheet on Simplification

● Fractions

Types of Fractions

Equivalent Fractions

Like and Unlike Fractions

Conversion of Fractions

Fraction in Lowest Terms

Addition and Subtraction of Fractions

Multiplication of Fractions

Division of Fractions

● Fractions - Worksheets

Worksheet on Fractions

Worksheet on Multiplication of Fractions

Worksheet on Division of Fractions

● Story about the Decimal Number

Decimals : Concept for decimals in derails.

Decimal Numbers : Learn reading decimal numbers, writing decimal numbers etc,.

Decimal Fractions : Learn reading decimal fractions, writing decimal fractions.

Decimal Places : Learn reading and writing the place values of a decimal number in words.

Decimal and Fractional Expansion : Learn how to expand the decimal numbers and the decimal numbers in fractions

Like and Unlike Decimals : Learn to identify like decimals and unlike decimals.

Conversion of Unlike Decimals to Like Decimals : Learn to convert unlike decimals in like decimals

Comparing Decimals : Learn to order and compare decimal numbers, arranging decimals in ascending order and arranging decimals in descending order

Adding Decimals : Learn to add decimals in the correct order, word problems.

Subtracting Decimals : Learn to subtract decimals in the correct order, word problems

Simplify Decimals Involving Addition and Subtraction Decimals : Examples for simplifying decimals for adding and subtracting.

Multiplying Decimal by a Whole Number : Learn to multiply decimals by a whole number in the correct order, word problems

Multiplying Decimal by a Decimal Number : Learn to multiply decimals by a decimal number in the correct order, word problems

Dividing Decimal by a Whole Number : Learn to divide decimals by a whole number in the correct order, word problems

Dividing Decimal by a Decimal Number : Learn to divide decimals by a decimal number in the correct order, word problems

Simplification of Decimal : Examples for simplifying decimals, operation on decimals.

Converting Decimals to Fractions : Learn to express decimal number into fraction

Converting Fractions to Decimals : Learn to express fraction into decimal number

Rounding Decimals : Learn to round off decimals

Rounding Decimals to the Nearest Whole Number : Learn to round off decimals to the nearest whole number

Rounding Decimals to the Nearest Tenths : Learn to round off decimals to the nearest tenths

Rounding Decimals to the Nearest Hundredths : Learn to round off decimals to the nearest hundredths

Round a Decimal : Problems for rounding off decimals

H.C.F. and L.C.M. of Decimals : Learn to find the highest common factor, lowest common multiple of more than two decimal numbers

Terminating Decimal : Definition of terminating decimals, examples to identify terminating decimals

Non-Terminating Decimal : Definition of non-terminating decimal, examples to identify non-terminating decimals

Repeating or Recurring Decimal : Definition of recurring decimals, examples to identify recurring decimals

Pure Recurring Decimal : Definition of pure recurring decimal, examples to pure recurring decimal

Mixed Recurring Decimal : Definition of mixed recurring decimal, examples to identify mixed recurring decimal

Conversion of Pure Recurring Decimal into Vulgar Fraction : Learn to express pure recurring decimals to vulgar fractions with examples.

Conversion of Mixed Recurring Decimals into Vulgar Fractions : Learn to express mixed recurring decimals to vulgar fractions with examples.

BODMAS/PEMDAS rule:

BODMAS Rule : Learn how to follow the BODMAS rules to simply the order of operations.

BODMAS Rules - Involving Integers : Learn how to follow the BODMAS rules to simply the order of operations involving integers.

BODMAS/PEMDAS Rules - Involving Decimals : Learn how to follow the BODMAS rules to simply the order of operations involving decimals

PEMDAS Rule : Learn how to follow the PEMDAS rules to simply the order of operations.

PEMDAS Rules - Involving Integers : Learn how to follow the PEMDAS rules to simply the order of operations involving integers.

PEMDAS Rules - Involving Decimals : Learn how to follow the PEMDAS rules to simply the order of operations involving decimals.

● Profit, Loss and Discount

Concept of Profit and Loss

Calculate Profit and Profit Percent

Calculate Loss and Loss Percent

Calculate Cost Price using Sell Price and Loss Percent

Calculate Cost Price using Sell Price and Profit Percent

Calculate Selling Price using Cost and Loss Percent

Calculate Selling Price using Cost and Profit Percent

Calculating Profit Percent and Loss Percent

Word Problems on Profit and Loss

Examples on Calculating Profit or Loss

Practice Test on Profit and Loss

Practice Test on Profit Loss and Discount

● Profit, Loss and Discount - Worksheets

Worksheet to Find Profit and Loss

Worksheets on Profit and Loss Percentage

Worksheet on Gain and Loss Percentage

Worksheet on Discounts

● Ratios and Proportions

What is a Ratio?

What is a Proportion?

● Ratios and Proportions - Worksheets

Worksheet on Ratios

Worksheet on Proportions

● Time and Work

Calculate Time to Complete a Work

Calculate Work Done in a Given Time

Problems on Time required to Complete a Piece a Work

Problems on Work Done in a Given Period of Time

Problems on Time and Work

Pipes and Water Tank

Problems on Pipes and Water Tank

● Time and Work - Worksheets

Worksheet on Work Done in a Given Period of Time

Worksheet on Time Required to Complete a Piece of Work

Worksheet on Pipes and Water Tank

● Unitary Method

Problems Using Unitary Method

Situations of Direct Variation

Situations of Inverse Variation

Direct Variations Using Unitary Method

Direct Variations Using Method of Proportion

Inverse Variation Using Unitary Method

Inverse Variation Using Method of Proportion

Problems on Unitary Method using Direct Variation

Problems on Unitary Method Using Inverse Variation

Mixed Problems Using Unitary Method

● Unitary Method - Worksheets

Worksheet on Direct Variation using Unitary Method

Worksheet on Direct variation using Method of Proportion

Worksheet on Word Problems on Unitary Method

Worksheet on Inverse Variation Using Unitary Method

Worksheet on Inverse Variation Using Method of Proportion

● Simple Interest

What is Simple Interest?

Calculate Simple Interest

Practice Test on Simple Interest

● Simple Interest - Worksheets

Simple Interest Worksheet

● Algebraic Expressions

Division of Polynomial by Monomial

● Algebraic Expressions - Worksheets

Worksheet on Dividing Polynomial by Monomial

Formula and Framing the Formula

Change the Subject of a Formula

Changing the Subject in an Equation or Formula

Practice Test on Framing the Formula

● Formula - Worksheets

Worksheet on Framing the Formula

Worksheet on Changing the Subject of a Formula

Worksheet on Changing the Subject in an Equation or Formula

● Algebraic Identities

Square of The Sum of Two Binomials : Using the formula of (a + b) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + 2ab, learn to evaluate the square of the sum of two terms.

Square of The Difference of Two Binomials : Using the formula of (a - b)\(^{2}\)  = a \(^{2}\) + b \(^{2}\) - 2ab, learn to evaluate the square of the difference of two terms.

Product of Sum and Difference of Two Binomials : Using the formula of a \(^{2}\) - b \(^{2}\) = (a + b) (a - b), learn to evaluate the product of sum and difference of two terms.

Product of Two Binomials whose First Terms are Same and Second Terms are Different : Learn to use the given formulas to evaluate the product of the two terms whose 1 \(^{st}\) terms are same and 2 \(^{nd}\) terms are different.

• (x + a) (x + b) = x \(^{2}\) + x(a + b) + ab

• (x + a) (x - b) = x \(^{2}\) + x (a – b) – ab

• (x - a) (x - b) = x \(^{2}\) – x (a + b) + ab

• (x - a) (x + b) = x \(^{2}\) + x (b – a) – ab

Square of a Trinomial : Learn to use the formula for the expansion of the square of a trinomial.

• (a + b + c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) + 2ab + 2bc + 2ca

• (a + b - c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) + 2ab – 2bc - 2ca

• (a - b + c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) – 2ab – 2bc + 2ca

• (a - b - c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) – 2ab + 2bc – 2ca

Cube of The Sum of Two Binomials : Learn the formula to determine the cube of the sum of two terms.

(a + b) \(^{3}\) = a \(^{3}\)   + 3a \(^{2}\) b + 3ab \(^{2}\)   + b \(^{3}\)

             = a \(^{3}\) + b \(^{3}\) + 3ab (a + b)

Cube of The Difference of Two Binomials : Learn the formula to determine the cube of the difference of two terms.

(a - b) \(^{3}\) = a \(^{3}\)   – 3a \(^{2}\) b + 3ab \(^{2}\)   – b \(^{3}\)

           = a \(^{3}\) – b \(^{3}\) – 3ab (a - b)

Cube of a Binomial :

Square of a Binomial :

● Equations

What is an Equation?

What is a Linear Equation?

How to Solve Linear Equations?

Solving Linear Equations

Problems on Linear Equations in One Variable

Word Problems on Linear Equations in One Variable

Practice Test on Linear Equations

Practice Test on Word Problems on Linear Equations

● Equations - Worksheets

Worksheet on Linear Equations

Worksheet on Word Problems on Linear Equation

● Inequations

What are Linear Inequality?

What are Linear Inequations?

Properties of Inequation or Inequalities

Representation of the Solution Set of an Inequation

Practice Test on Linear Inequation

● Inequations - Worksheets

Worksheet on Linear Inequations

● Lines and Angles

Fundamental Geometrical Concepts

Classification of Angles

Related Angles

Some Geometric Terms and Results

Complementary Angles

Supplementary Angles

Complementary and Supplementary Angles

Adjacent Angles

Linear Pair of Angles

Vertically Opposite Angles

Parallel Lines

Transversal Line

Parallel and Transversal Lines

● Congruence

Congruent Shapes :

Congruent Line-segments :

Congruent Angles :

Congruent Triangles :

Conditions for the Congruence of Triangles :

Side Side Side Congruence :

Side Angle Side Congruence : 

Angle Side Angle Congruence :

Angle Angle Side Congruence :

Right Angle Hypotenuse Side congruence :

Pythagorean Theorem :

Proof of Pythagorean Theorem :

Converse of Pythagorean Theorem :

Word problems on Pythagorean Theorem :

Polygon and its Classification

Terms Related to Polygons

Interior and Exterior of the Polygon

Convex and Concave Polygons

Regular and Irregular Polygon

Number of Triangles Contained in a Polygon

Angle Sum Property of a Polygon

Problems on Angle Sum Property of a Polygon

Sum of the Interior Angles of a Polygon

Sum of the Exterior Angles of a Polygon

● Polygons - Worksheets

Worksheet on Polygon and its Classification

Worksheet on Interior Angles of a Polygon

Worksheet on Exterior Angles of a Polygon

● Quadrilateral

Quadrilateral : Perimeter of Quadrilateral : Angle Sum Property of a Quadrilateral : Missing angle of a Quadrilateral :

Angles of a Quadrilateral are in Ratio :

●   Symmetrical Figure

Linear Symmetry :  Identify symmetric and non-symmetric figures and also identify shapes having horizontal line of symmetry, vertical line of symmetry, both horizontal and vertical lines of symmetry, infinite lines of symmetry and no line of symmetry.

Lines of Symmetry :  Identify the geometrical shapes having 1, 2, 3, 4, 0 and so on or infinite lines of symmetry.

Point Symmetry :  How to find the point symmetry of letters of the English alphabet and the different geometrical figures. Learn the important points to find the conditions that satisfy centre of symmetry.

Reflection Symmetry :

Reflection and Symmetry :

Nets of a Solids :

Rotational Symmetry :  Learn what is rotational symmetry and types of rotation i.e. clockwise rotation and anticlockwise rotation. 

Order of Rotational Symmetry :  Learn the different orders of rotation of the shapes through 360° in clockwise direction and anticlockwise direction.

Types of Symmetry :  Learn the various symmetries i.e. linear symmetry, point symmetry and rotational symmetry of the geometrical shapes. 

Reflection :  Learn how reflection is related to math, define reflection using an image and worked-out examples on math reflection. 

Reflection of a Point in x-axis :  Learn how to draw the image on the graph paper to find the reflection of a point in x-axis.

Reflection of a Point in y-axis :  Learn how to draw the image on the graph paper to find the reflection of a point in y-axis.

Reflection of a point in origin :  Learn how to draw the image on the graph paper to find the reflection of a point in origin. 

Rotation :  Explanation of rotation using an image.

90 Degree Clockwise Rotation :  Learn with the help of solved examples to rotate a figure 90 degrees clockwise direction around the origin on a graph paper.

90 Degree Anticlockwise Rotation :  Learn with the help of solved examples to rotate a figure 90 degrees anticlockwise direction around the origin on a graph paper.

180 Degree Rotation :  Learn with the help of solved examples to rotate a figure 180 degrees clockwise direction and anticlockwise direction around the origin on a graph paper.

●   Practical Geometry

• Practical Geometry
• Construction of a Circle

●  Coordinate System

• Coordinate Graph
• Ordered pair of a Coordinate System
• Plot Ordered Pairs
• Coordinates of a Point
• All Four Quadrants
• Signs of Coordinates
• Find the Coordinates of a Point
• Coordinates of a Point in a Plane
• Plot Points on Coordinate Graph
• Graph of Linear Equation
• Simultaneous Equations Graphically
• Graphs of Simple Function
• Graph of Perimeter vs. Length of the Side of a Square
• Graph of Area vs. Side of a Square
• Graph of Simple Interest vs. Number of Years
• Graph of Distance vs. Time

●  Mensuration

• Area and Perimeter
• Perimeter and Area of Rectangle
• Perimeter and Area of Square
• Area of the Path
• Area and Perimeter of the Triangle
• Area and Perimeter of the Parallelogram
• Area and Perimeter of Rhombus
• Area of Trapezium
• Circumference and Area of Circle
• Units of Area Conversion
• Practice Test on Area and Perimeter of Rectangle
• Practice Test on Area and Perimeter of Square

●  Mensuration - Worksheets

• Worksheet on Area and Perimeter of Rectangles
• Worksheet on Area and Perimeter of Squares
• Worksheet on Area of the Path
• Worksheet on Circumference and Area of Circle
• Worksheet on Area and Perimeter of Triangle

●   Volume and Surface Area of Solids

• Volume of Cubes and Cuboids
• Worked-out Problems on Volume of a Cuboid

●  Statistics

• Real Life Statistics
• Terms Related to Statistics
• Frequency Distribution of Ungrouped and Grouped Data
• Use of Tally Marks
• Class Limits in Exclusive and Inclusive Form
• Construction of Bar Graphs
• Mean of the Tabulated Data
• Construction of Pie Chart
• How to Construct a Line Graph?

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Grade 7 Math Problems with Solutions

Grade 7 Maths questions and problems for deep understanding of Maths concepts and skills of students are presented. Solutions and answers to the questions are also provided.

Grade 7 Math

• Grade 7 Math Practice Test with detailed solutions and explanations.
• How to Solve Rate Problems? ; Grade 7 questions With Detailed Solutions are included.
• Find Ratio in Math ; Grade 7 questions With Detailed Solutions are included.
• Find Rate in Math ; Grade 7 questions With Detailed Solutions are included.
• Solve Maths Proportions ; grade 7 questions With Detailed Solutions are included.
• Grade 7 Maths word Problems With Answers . Also Solutions and explanations are included.
• Fractions and Mixed Numbers - Grade 7 Maths Questions and Problems With Answers . Also solutions and explanations are included.
• Rectangular Coordinate System in a Plane
• Divisibility Rules Examples and Questions .
• Divisibility Rule for 7 Examples and Questions .
• Prime Factorization ; examples and questions With Detailed Solutions are included.
• Common Factors Calculator. An online calculator that computes the common factors and the GCF of two or more positive integers.
• Introduction to Polynomials
• Multiply and Simplify Monomials
• Video on Solving Linear Inequalities
• Graphing Functions
• What are Exponents in Math? ; examples and questions With Detailed Solutions are included.
• Algebra Questions and Problems with detailed solutions and explanations.
• Convert Yards, Feet and Inches
• Relations in Mathematics
• Functions in Mathematics
• Functions Represented by Equations
• Number to Words Converter
• What are Radicals in Math? ; examples and questions with detailed solutions are included.
• Prime and Composite Numbers ; examples and questions With Detailed Solutions are included.
• Greatest Common Factor (GCF) ; examples and questions With Detailed Solutions are included.
• Lowest Common Multiple (LCM) ; examples and questions With Detailed Solutions are included.
• How to Reduce Fractions ; examples and questions With Detailed Solutions are included.
• How is Cross Multiplication Used to Solve Equations? ; examples and questions With Detailed Solutions are included.
• Grade 7 Maths Questions on Set Theory With Answers . Also, the solutions and explanations are included.
• Like Terms in Algebra - Grade 7 Maths Questions and Problems With Answers
• Add and Subtract Polynomials - Grade 7 Maths Questions and Problems With Answers
• Units Conversion and Calculators
• Convert Units of Measurements

Online Calculators to Practice and Understand Concepts

• Linear Equations Solver Calculator
• Units Conversions Calculators
• Divisibility Test Calculator. An online calculator that tests whole numbers for visibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.
• Lowest Common Multiple (lcm) Calculator. Calculate the lowest common multiple of two positive integers.
• Greatest Common Factor (gcf) Calculator. Calculate the greatest common factor of two positive integers.
• Prime Factors Calculator. Factor a positive integer into prime factors.
• Simplify Square Root Calculator
• Fractions Addition Calculator. Add 2 or 3 fractions and reduce the final answer.
• fraction calculator that helps you further develop the skills of how to reduce, add and multiply fractions.
• Multiply Fractions Calculator. Multiply 2 fractions and reduce the answer.
• Divide Fractions Calculator. Divide 2 fractions and reduce the answer.
• Reduce Fractions Calculator. Rewrite Fractions in reduced form.

NCERT Solutions for Class 7 Maths

NCERT solutions for class 7 maths comprises solutions and analysis of all NCERT textbook sums based on triangles, area, and perimeter of different shapes, data handling, integers, etc. These class 7 maths NCERT solutions are prepared by math geniuses to cater to students of all intelligence levels. Thus, helping CBSE students to develop auxiliary skills and mathematical acumen.

NCERT solutions class 7 maths are extremely helpful for students preparing for home as well as competitive exams. These solutions provide an opportunity for students to develop a robust understanding of mathematics in grade 7. CBSE NCERT solutions for class 7 maths can also be referred to by students belonging to a different board who want to have ironclad mathematical concepts.

NCERT Solutions for Class 7 Maths PDF Download

NCERT Solutions for class 7 maths are explained using the best and most precise techniques. These chapter-wise analysis of questions are available for free pdf download. Depending on whatever topic you are studying, the links to all the solutions are given below.

Class 7 Maths NCERT Solutions Chapter 1 to 15

To ensure that you are well-versed with all topics at the time of an examination, it is imperative to revisit the solutions periodically. These class 7 maths NCERT solutions aid students in developing a better understanding of the topic at hand. You can download the NCERT textbook given below and find exemplary questions on fractions, solid shapes, triangles, and so on.

☛ Download Class 7 Maths NCERT Book

NCERT Solutions for Class 7 Maths Chapter 1

NCERT solutions for class 7 maths chapter 1 integers teach young minds how to work with number lines while performing mathematical operations on signed integers. The most important concepts falling under this chapter are the properties of arithmetic operations such as the addition of two numbers.

Important Formulas:

• Commutative Property: a + b = b + a; a × b = b × a
• Associative Property: (a + b) + c = a + (b + c); (a × b) × c = a × (b × c)
• Distributive Property: a × (b + c) = a × b + a × c
• Multiplicative Identity: 1 × a = a × 1 = a
• Additive Identity: a + 0 = 0 + a = a

Class 7 Maths Chapter 1 Integers

Topics Covered: Class 7 maths NCERT solutions cover problem sums on integer operations, closure property, commutative property, distributive property, associativity, and additive identity. It also encompasses the multiplication and division of two or more signed integers. The chapter has a total of 30 questions out of which 12 are easy, 8 are moderate and 10 are difficult.

NCERT Solutions Class 7 Maths Chapter 2

NCERT solutions class 7 maths chapter 2 fractions and decimals are designed to understand the different categories of fractions and how to work with them. Students are further taught the methods of multiplying fractions and dividing fractions . The succeeding sections deal with decimals and performing arithmetic operations on them.

Chapter 2 Preparation Tips:

NCERT solutions class 7 maths chapter 2 fractions and decimals form the basis for several sister topics hence, students need to build a strong understanding of this topic. For this purpose, they can follow the given tips to streamline their studying process.

• Try to apply the concepts to daily-life problems.
• Revise theories taught in previous grades.
• Regularly practice questions.

Class 7 Maths Chapter 2 Fractions and Decimals

Topics Covered: Multiplication and division of fractions by various kinds of numbers such as fractions or whole numbers, along with simplifying fractions to their lowest form fall under this chapter. Other important topics include comparing decimals, multiplication, and division of decimals as well as associated word problems.

Total Questions: Chapter 2 has 48 questions in total which are categorized as 23 easy sums, 17 medium level, and 8 tough problems.

Class 7 Maths NCERT Solutions Chapter 3

Class 7 maths NCERT solutions chapter 3 data handling teach students how to organize data before performing computations on it and graphically representing it. Arithmetic mean , range, mode, and median are measures of central tendency that students have the opportunity to learn from these solutions.

Class 7 Maths Chapter 3 Data Handling

Topics Covered: Determining the arithmetic mean, range, mode, median are the major statistical topics covered under class 7 maths NCERT solutions . Furthermore, the representation of data using bar graphs and double bar graphs is also included in this chapter.

Total Questions: There are 24 questions in class 7 maths chapter 3 data handling out of which 5 are simple problems, 15 are of moderate difficulty and 4 are tough.

NCERT solutions for class 7 maths chapter 3 provides a bird’s eye view of how to collect and organize data using tables. It also aids students in understanding the tools required to perform computations on data, presenting it in a graphical format, and drawing conclusions from it.

NCERT Solutions for Class 7 Maths Chapter 4

NCERT solutions for class 7 maths chapter 4 simple equations give an insight into how to interpret statements, convert them into the form of an equation, and subsequently solve it. Thus, students get a good idea of how to apply simple equations to practical situations.

Class 7 Maths Chapter 4 Simple Equations

Topics Covered: Converting a statement to an equation, finding the value of an equation by addition and subtraction on both sides, or transposing terms and corresponding word problems fall under the scope of class 7 maths NCERT solutions. The chapter has 18 questions with 6 long answer type sums, 5 medium, and 7 easy problems.

NCERT Solutions Class 7 Maths Chapter 5

NCERT solutions for class 7 maths chapter 5 lines and angles introduce young minds to the formation of different types of angles and their properties, the intersection of lines and the pairs of angles formed as well as the relationship between such angles.

Class 7 Maths Chapter 5 Lines and Angles

Topics Covered: Identifying complementary angles , supplementary angles , adjacent angles , linear pairs, and vertically opposite angles . Furthermore, transversal and pairs of lines are essential topics within this chapter. It consists of 20 questions. 3 are easy, 9 are long answer-type and 8 are moderately challenging problems.

NCERT Solutions Class 7 Maths Chapter 5 Summary:

The chapter gives a quick recap of line segments, ray, and a line. This chapter also teaches students about transversals, categorizes the different types of angles, and gives a relationship among these angles.

Class 7 Maths NCERT Solutions Chapter 6

Class 7 maths NCERT solutions chapter 6 the triangle and its properties give students an in-depth knowledge of the elements of a triangle. It presents students with the important angle sum property of a triangle and the Pythagoras theorem . Moreover, this chapter also includes an explanation of the isosceles and equilateral triangles .

Class 7 Maths Chapter 6 Triangle and its Properties

Topics Covered: Drawing the median and altitude of triangles, determining the exterior angles, and finding the value of unknown angles using the angle sum property. Finally, topics associated with equilateral, isosceles, and right-angled triangle is also covered in this chapter.

Total Questions: Class 7 maths chapter 6 has 21 well-research sums that can be split into 4 tough problems, 9 moderately complex, and 8 easy questions.

NCERT Solutions for Class 7 Maths Chapter 7

NCERT solutions for class 7 maths chapter 7 congruence of triangles starts with giving an introduction to the meaning of congruence between any two figures. Besides this, the chapter discusses the different criteria of congruence between triangles and how to apply them effectively.

Class 7 Maths Chapter 7 Congruence of Triangles

Topics Covered: The congruence of triangles using SSS, SAS, ASA, and RHS criteria is the most important topic covered in this chapter. The chapter has 14 questions. 9 are simple sums based on the congruence theorems, 2 are moderately tough and 3 are complex problems.

Class 7 Maths NCERT Solutions Chapter 8

Class 7 maths NCERT solutions chapter 8 comparing quantities give students the tools required to draw comparisons between two or more quantities and make inferences about them using equivalent ratios . This chapter also includes various concepts based on percentages and how to apply them to real-life problems.

Class 7 Maths Chapter 8 Comparing Quantities

Topics Covered: Using equivalent ratios to determine the value of unknown quantities, converting fractional numbers and decimals to percentages , finding the percent increase or percent decrease , as well as profit and loss and annual interest questions.

Total Questions: Students can find a total of 24 questions in class 7 maths chapter 8 comparing quantities out of which 8 are effortless, 5 are of medium level and 11 require a certain degree of skill from a student. Studying NCERT solutions class 7 maths chapter 8 students will be adept at dealing with converting ratios to percentages, computing interest, and using different mechanisms to compare quantities.

NCERT Solutions for Class 7 Maths Chapter 9

NCERT solutions for class 7 maths chapter 9 rational numbers establish a foundation for the concept of rational numbers. Students have the opportunity to learn about the representation of rationals on a number line , comparison, and reduction of rationals to their standard form, plus performing operations on rational numbers.

NCERT solutions class 7 maths chapter 9 can be best learned by following the tips given below.

• Revising concepts of HCF and LCM from previous classes for reduction of rationals to the standard form.
• Improving calculation speed by regular practice so as to power through questions based on arithmetic operations

Class 7 Maths Chapter 9 Rational Numbers

Topics Covered: Finding rationals between two rational numbers, number line representation and comparison of rationals, as well as multiplying, dividing, adding, and subtracting rational numbers. A set of 14 questions comprise chapter 9 rational numbers. 5 are fairly straightforward, 7 are intermediate, and 2 are difficult problems.

NCERT Solutions Class 7 Maths Chapter 10

NCERT solutions class 7 chapter 10 maths practical geometry edifies students on how to properly use geometrical instruments to construct transversals and parallel lines . Additionally, building triangles using the SSS, SAS, ASA, and RHS criteria are also part of this chapter.

Class 7 Maths Chapter 10 Practical Geometry

Topics Covered: Class 7 maths NCERT solutions incorporate vital topics such as constructing parallel lines and the transversals through them, as well as using the constraints given by the SSS, SAS, ASA, and RHS criteria to construct triangles . Chapter 10 practical geometry has 16 sums on the construction of figures out of which 7 are straightforward questions, 5 are complex and 4 are medium level.

NCERT Solutions for Class 7 Maths Chapter 11

NCERT solutions for class 7 maths chapter 11 perimeter and area educate on the steps required to find the area and perimeter of 2D shapes using different parameters. Moreover, students are given a step-wise explanation on how to employ these concepts while solving word problems.

• Perimeter of a square = 4 × side
• Perimeter of a rectangle = 2 × (length + breadth)
• Area of a square = side × side
• Area of a rectangle = length × breadth
• Area of a parallelogram = base × height
• Area of a triangle = ½ × base × height
• Circumference of a circle = 2πr
• Area of a circle = πr2

Class 7 Maths Chapter 11 Perimeter and Area

Topics Covered: Determining the area and perimeter of squares , rectangles , triangles, parallelograms , and circles . This chapter also covers converting units and applying the concepts mentioned above to real-life problems.

Total Questions: Chapter 11 perimeter and area has 44 well-curated questions. 18 are straightforward formula-based sums, 20 are of moderate complexity, and 6 high-level problems.

Class 7 Maths NCERT Solutions Chapter 12

Class 7 maths NCERT solutions chapter 12 algebraic expressions give an idea of what an expression means and the components that make up an algebraic expression. Students can use these solutions to grasp concepts such as solving polynomials , categorizing, and performing arithmetic operations on them.

Class 7 Maths Chapter 12 Algebraic Expressions

Topics Covered: Using algebra formulas to find their value, along with performing addition and subtraction on general expressions of algebra . The chapter consists of 25 sums with 8 simple questions, 10 are slightly tougher and 7 complex problems.

NCERT solutions for class 7 maths chapter 12 covers a plethora of concepts such as the types of polynomials , addition, and subtraction of like terms as well as finding the value of given algebraic identities .

Class 7 Maths NCERT Solutions Chapter 13

NCERT solutions for class 7 maths chapter 13 exponents and powers describe how to convert an exponent into a number and vice versa. These solutions give the procedure of using laws of exponents and applying them to problems. In addition to this, using exponents to express large numbers is also detailed in this chapter.

Class 7 Maths Chapter 13 Exponents and Powers

Topics Covered: Expressing a number in the form of an exponent, various exponentiation laws, and showing how very large or small numbers can be converted into a standard form using exponents. Chapter 13 exponents and powers cover a total of 17 exemplar problems that be divided into 6 easy sums based on the laws, 7 are challenging and 4 are medium-level questions.

NCERT Solutions for Class 7 Maths Chapter 14

NCERT solutions class 7 maths chapter 14 symmetry provides students with the best possible explanation of concepts related to symmetry such as line of symmetry, rotational symmetry, and how to use them to create designs in our day-to-day lives.

Topics Covered: Questions based on lines of symmetry, identifying rotational symmetry, and a combination of these topics forms a part of class 7 maths NCERT solutions.

Total Questions: Chapter 14 symmetry has a total of 19 sums. 4 are long answer types, 10 are moderately difficult and 5 are simple problems.

NCERT Solutions for Class 7 Maths Chapter 15

NCERT solutions for class 7 maths chapter 15 visualizing solid shapes help students instill the foundation required in higher grades to solve sister topics such as mensuration. It teaches students how to identify the different elements of a solid figure.

NCERT solutions for class 7 maths chapter 15 is of great use especially in the upcoming classes. Students can follow the tips given below to enhance their learning.

• Try to apply the methods used in the textbook to real-life objects.
• Solve numerous questions for practice to develop a strong understanding of the subject.

Class 7 Maths Chapter 15 Visualising Solid Shapes

Topics Covered: Identifying nets with their corresponding solids, isometric and oblique sketches as well as viewing different sections of a solid using various techniques.

Total Questions: Chapter 15 visualizing solid shapes has 14 well-researched questions. 9 are very simple, 3 are slightly difficult while 2 are complex sums.

Class 7 Maths NCERT Solutions Important Formulas

Formulas are some of the most important expressions in mathematics as they serve to increase the speed and accuracy of solving questions. It gives a concise way of conveying vital information using symbolic representations. Thus, students need to understand and memorize several formulas to successfully solve problems. The important formulas covered in NCERT solutions for class 7 maths are listed below .

Proportion Formulas:

• Addition: a/b + c/d = (ad + bc)/bd
• Subtraction: a/b - c/d = (ad - bc)/bd
• Area of Circle = πr 2
• Area of Rectangle = l × b
• Simple Interest, S.I = PTR/100, where P = Principal amount, T = Time, R = Rate of interest per annum

Importance of NCERT Solutions for Class 7 Maths

Class 7 Maths NCERT solutions are extremely helpful for CBSE students as they get an overview of the best techniques that can be used to solve any NCERT questions. The benefits of NCERT solutions for class 7th maths are given below:

• Exam Preparation: During examination days it becomes very difficult for students to solve every question. As every sum is equally important students need a quick run-through of all problems. NCERT solutions for class 7 maths are the perfect way to achieve this goal. They provide a step-wise and detailed analysis of all problems. Students can skim through them and do a quick revision on how to solve each question.
• Time-management: As there are a lot of chapters that are encompassed in the class 7th syllabus hence, students must manage their time well. These class 7 maths NCERT solutions help in completing the coursework well within the given limit. It also leaves enough time for revision.
• Solving Doubts: Many times when a student is attempting a textbook sum he might not be able to solve it completely. This could be due to a careless mistake or a shaky concept. NCERT solutions class 7th maths are precise and well explained thus, clearing any doubts that a student might have.

FAQs on NCERT Solutions for Class 7 Maths

Why are ncert solutions for class 7 maths important.

Young minds need to have reliable guides while studying the class 7 maths syllabus. The NCERT solutions for class 7 maths provide an excellent way to accomplish this goal. Students can not only cross-check their answers but also build a sound understanding of the subject. Students can use these well-researched class 7 maths NCERT solutions to improve their foundational knowledge of class 7 mathematics.

How Students can Utilize Class 7 Maths NCERT Solutions?

To get the most out of the class 7 maths NCERT solutions it is advisable to first ensure that the student understands the theoretical concepts properly. Only after they build their knowledge base consisting of the important theories and formulas for that topic they should proceed to use these NCERT solutions class 7 maths and attempt problems.

Do I Need to Practice all Questions Provided in NCERT Solutions Class 7 Maths?

Every topic within the scope of mathematics is interlinked. Thus, students must practice every question in the NCERT solutions class 7 maths to ensure that there is no gap in learning. The best results can only be obtained through due diligence and constant revision.

Do I Need to Make Notes while Referring to NCERT Solutions for Class 7 Maths?

Students make notes to remember certain points related to a question of concept. Thus, while revising NCERT solutions for class 7 maths students can use these as references and speed up the learning process. Thus, it is always recommended to consult your notes while studying.

Where Can I Get Chapter-wise NCERT Solutions for Class 7 Maths?

Students have full access to easy-to-use exercise-wise NCERT solutions for class 7 maths in the links mentioned above. Moreover, these pdfs are free to download and are compatible with mobile screens.

What are the Important Topics Covered in Class 7 Maths NCERT Solutions?

While learning a subject like math, as a thumb rule, no chapter should be skipped. Thus, all topics within the lessons covered by class 7 maths NCERT solutions are equally important. It is necessary to be well-versed with all topics to score the best possible marks in any examination.

Can We Use Different Methods to Solve Problems Apart From Those Mentioned in NCERT Solutions Class 7 Maths?

Students are free to follow any method apart from the ones used in the NCERT solutions class 7 maths. However, they need to be universally recognized and simple tricks used to solve questions in competitive exams cannot be used.

Why Should I Practice NCERT Solutions for Class 7 Maths Regularly?

The only way to master a subject is by practicing it regularly. Similarly, students should practice NCERT solutions class 7 maths routinely as it helps them stay in touch with the subject. This ensures that students do not forget any concept. Additionally, it also helps students to memorize math formulas easily.

What are the Benefits of NCERT Solutions Class 7 Maths for CBSE Students?

NCERT solutions Class 7 maths help CBSE students to prepare for their exams as the syllabus is based on the NCERT textbooks. Apart from this, these solutions instill a deep-seated knowledge of the subject and help students clear their doubts immediately if they hit a roadblock while solving some problems.

Why Choose Cuemath for Class 7 Maths NCERT Solutions?

Cuemath is the best website available for class 7 Maths NCERT solutions as they have been hand-picked and prepared by math experts such as IITians. These math wizards do proper research to find the most precise and accurate method to solve any question. A student is sure to excel in any exam by using these solutions as references.