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Class 7 · 7th standard · 2026-27

Class 7 maths worksheets, free, with every step on the page

Three free Class 7 maths worksheets, with every question and every step printed on this page rather than behind a download. Class 7 is the year the Class 6 foundations are actually tested: signs stop being countable on a number line, equations stop being guessable, and percentage stops being a formula that can be applied without understanding it. These sheets aim at those three moments specifically, and every exercise opens with one question worked through in full.

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3 worksheets · 98 questions · every answer on the page · no sign-up · aligned to NCERT's Class 7 maths book is Ganita Prakash. Schools also use their own texts, so these sheets are written to the ideas rather than to one book's chapter order.

What these practise

  • Multiplying and dividing integers, and where the sign comes from
  • Three or more factors, counted by the number of negative signs
  • Order of operations when signs and brackets appear together
  • One-step and two-step equations solved by balancing
  • Equations with the variable on both sides, and with brackets
  • Forming an equation from a sentence, and checking by substitution
  • Converting between fractions, decimals and percentages
  • Profit and loss percent, always on the cost price
  • Discount on the marked price, and working backwards to it

Last updated 2026-07-28

Free, with answers

The worksheets themselves

Every question is on this page, and so is every answer. Nothing is behind a sign-up, and there is no file to download unless you want one - use the print button on any sheet to save it as a PDF.

practice · medium · 25 min

Integers: multiplication and division

Class 7 Maths · Integers · 34 questions with answers

Download PDF - Integers: multiplication and division, with the answer key on the last page

A child can get through Class 6 integers on a number line, counting steps left and right. Multiplication breaks that, because there is nothing to count - the sign has to come from a rule that is understood rather than remembered. This sheet works through the rule, then mixes operations so the rule has to be chosen rather than applied automatically.

  • Gives the correct sign for a product or quotient without hesitating
  • Handles three or more factors by counting the negative signs
  • Applies order of operations when signs and brackets are mixed
  • Turns a described situation into a signed calculation

Exercise 1 of 3 · 14 questions

Work these out.

Write the answer · Warm-up

Here’s one done for you

(-3) × (-4) = 12. Count the negative signs: there are two. An even number of negatives gives a positive answer; an odd number gives a negative one. That single rule covers multiplication and division both, and it is worth saying out loud a few times rather than memorising four separate cases.

  1. 1)(-3) × (-4)
  2. 2)(-7) × 5
  3. 3)8 × (-6)
  4. 4)(-9) × (-2)
  5. 5)(-45) ÷ 9
  6. 6)(-36) ÷ (-6)
  7. 7)56 ÷ (-8)
  8. 8)(-1) × (-1) × (-1)
  9. 9)(-5) × (-8)
  10. 10)6 × (-7)
  11. 11)(-11) × (-3)
  12. 12)(-72) ÷ 8
  13. 13)(-64) ÷ (-8)
  14. 14)81 ÷ (-9)

Answers

  1. 1) 12 - two negatives, so the answer is positive.
  2. 2) -35 - one negative, so the answer is negative.
  3. 3) -48 - one negative, so the answer is negative.
  4. 4) 18 - two negatives, so the answer is positive.
  5. 5) -5 - one negative, so the answer is negative.
  6. 6) 6 - two negatives, so the answer is positive.
  7. 7) -7 - one negative, so the answer is negative.
  8. 8) -1 - three negatives, which is an odd number of them, so the answer is negative.
  9. 9) 40 - two negatives, so the answer is positive.
  10. 10) -42 - one negative, so the answer is negative.
  11. 11) 33 - two negatives, so the answer is positive.
  12. 12) -9 - one negative, so the answer is negative.
  13. 13) 8 - two negatives, so the answer is positive.
  14. 14) -9 - one negative, so the answer is negative.

Exercise 2 of 3 · 11 questions

Work these out, one step at a time. Show each step.

Write the answer · Guided

Here’s one done for you

(-8) + (-3) × 2 = -14. The trap is doing it left to right and getting (-11) × 2 = -22. Multiplication comes before addition, so (-3) × 2 = -6 first, and then (-8) + (-6) = -14. When signs and order of operations arrive in the same question, work out the order first and the signs second - trying to do both at once is where the errors come from.

  1. 1)(-2) × (-3) × (-4)
  2. 2)(-5) × 4 ÷ (-2)
  3. 3)(-8) + (-3) × 2
  4. 4)(-15) ÷ 3 + (-4)
  5. 5)12 ÷ (-4) × 3
  6. 6)(-6) × (-6) ÷ (-9)
  7. 7)(-3) × (-2) × (-5)
  8. 8)(-9) + 4 × (-2)
  9. 9)(-24) ÷ 6 - (-7)
  10. 10)20 ÷ (-5) × (-3)
  11. 11)(-7) × 3 + 30

Answers

  1. 1) -24. First (-2) × (-3) = 6, then 6 × (-4) = -24. Three negatives, so negative.
  2. 2) 10. First (-5) × 4 = -20, then (-20) ÷ (-2) = 10.
  3. 3) -14. Multiply first: (-3) × 2 = -6. Then (-8) + (-6) = -14.
  4. 4) -9. Divide first: (-15) ÷ 3 = -5. Then (-5) + (-4) = -9.
  5. 5) -9. Left to right: 12 ÷ (-4) = -3, then (-3) × 3 = -9.
  6. 6) -4. First (-6) × (-6) = 36, then 36 ÷ (-9) = -4.
  7. 7) -30. First (-3) × (-2) = 6, then 6 × (-5) = -30. Three negatives, so negative.
  8. 8) -17. Multiply first: 4 × (-2) = -8. Then (-9) + (-8) = -17.
  9. 9) 3. Divide first: (-24) ÷ 6 = -4. Then (-4) - (-7) = -4 + 7 = 3.
  10. 10) 12. Left to right: 20 ÷ (-5) = -4, then (-4) × (-3) = 12.
  11. 11) 9. Multiply first: (-7) × 3 = -21. Then -21 + 30 = 9.

Exercise 3 of 3 · 9 questions

Write the calculation, then the answer in a sentence.

Write the answer · Practice

Here’s one done for you

The submarine: descending is negative, so 5 m down for 8 minutes is (-5) × 8 = -40, which is 40 m below the surface. Notice the two separate decisions - first which direction counts as negative, then the arithmetic. Children who go straight to the numbers usually get the size right and the sign wrong, and the sign is half the mark.

  1. 1)A submarine descends 5 m every minute for 8 minutes. Where is it relative to the surface?
  2. 2)The temperature is 5°C and falls 3°C every hour for 6 hours. What is the temperature then?
  3. 3)A shopkeeper loses ₹25 on each of 14 items. What is the total loss?
  4. 4)In a quiz, a correct answer scores +4 and a wrong one -2. A student gets 9 right and 6 wrong. What is the score?
  5. 5)A diver is 30 m below the surface and rises 4 m each minute for 5 minutes. Where is the diver now?
  6. 6)A well is dug 3 m deeper each day for 7 days. How deep is it relative to the ground?
  7. 7)A cricketer loses 6 runs for each of 5 no-balls and gains 40 runs otherwise. What is the net figure?
  8. 8)The temperature at midnight was -8°C and rose 2°C every hour for 9 hours. What was it then?
  9. 9)A trader gains ₹35 on each of 12 items and loses ₹20 on each of 9 others. What is the net result?

Answers

  1. 1) (-5) × 8 = -40. The submarine is 40 m below the surface.
  2. 2) 5 + (-3) × 6 = 5 + (-18) = -13. The temperature is -13°C.
  3. 3) (-25) × 14 = -350. The total loss is ₹350.
  4. 4) 9 × 4 + 6 × (-2) = 36 + (-12) = 24. The student scores 24.
  5. 5) -30 + 4 × 5 = -30 + 20 = -10. The diver is 10 m below the surface.
  6. 6) (-3) × 7 = -21. The well is 21 m below the ground.
  7. 7) 40 + 5 × (-6) = 40 + (-30) = 10. The net figure is 10 runs.
  8. 8) -8 + 2 × 9 = -8 + 18 = 10. The temperature was 10°C.
  9. 9) 12 × 35 + 9 × (-20) = 420 + (-180) = 240. The net gain is ₹240.

While your child works

  • If your child hesitates on a sign, ask them to count the negative signs out loud. Even means positive, odd means negative - one rule instead of four.
  • Mixed questions are the real test. Ask 'what do we do first?' before any arithmetic happens.
  • In word problems, ask 'which direction is negative here?' first. That decision made explicitly fixes most sign errors.

Open the Integers worksheet on its own page

Class 7 Maths - the guide

What changes in maths at Class 7?

Class 6 introduced integers, algebra and ratio. Class 7 tests whether any of it was understood, and it does so without announcing itself.

Integers stop being countable. Addition and subtraction can be survived on a number line by counting steps. Multiplication cannot - there is nothing to count, so the sign has to come from a rule. A child who got through Class 6 by counting meets a wall in the first month.

Equations stop being guessable. x + 7 = 12 can be seen. 3x + 4 = x + 10 cannot, and a child who never learned the method now needs it in a hurry.

Percentage becomes about what it is a percentage of. Profit percent is on the cost price and discount is on the marked price, and taking it of the wrong number produces an answer that looks perfectly reasonable.

How should we use these at home?

Twenty-five to thirty minutes each, once or twice a week. Every exercise opens with one question worked through in full, because the method is what is being practised rather than the arithmetic.

  • Ask 'what did you do to both sides?' rather than 'what is the answer?'. That question is the whole difference between method and guessing.
  • Ask 'a percentage of what?' before any division in the profit and loss sheet.
  • Substitute the answer back in every equation. Ten seconds, and it catches nearly every slip.
  • Let your child mark their own work. Every answer is on the page for exactly that reason.

Where do Class 7 children usually stall?

Three places, and each one is a Class 6 idea that was memorised rather than understood.

  • Signs under multiplication. A child who hesitates before writing the sign is guessing. Counting the negative signs - even is positive, odd is negative - replaces four remembered cases with one rule.
  • Equations with the variable on both sides. There is nothing to see, so the method has to exist. This is where guessing runs out.
  • Percentage of the wrong quantity. Dividing by the selling price rather than the cost price gives a plausible wrong answer, which is why it survives unnoticed for a whole term.

All three carry straight into the years after it and then into the board years, which is why Class 7 is a cheap year to fix and an expensive one to skip. See Class 7 maths tuition for how we teach it, or when maths starts feeling frightening if the difficulty has become about confidence rather than content.

Questions parents ask

Class 7 Maths worksheets - your questions

Are these Class 7 maths worksheets free?

Yes. Every question and every answer is on this page, with no sign-up, no email wall and no account. The printable version puts the answers on a separate final sheet.

Do these include an answer key?

Yes, with the working shown line by line rather than just the final number - because in Class 7 the method is what is being marked and what is being learned.

Why does my child suddenly struggle with integers in Class 7?

Because Class 6 could be survived by counting steps on a number line, and multiplication cannot. The sign now has to come from a rule. Counting the negative signs - even means positive, odd means negative - is the one rule that replaces all four cases.

My child gets equations right but cannot explain them. Is that a problem?

In Class 7, yes. Guessing works while the numbers are small and fails the moment a variable appears on both sides. It is much easier to build the method while the questions are still easy enough to guess.

Why is profit percent so often wrong?

Because it is calculated on the selling price instead of the cost price. Profit percent is always on the cost price. The wrong answer is close enough to look right, so it can survive a whole term unnoticed.

Are these matched to NCERT?

They are written to the ideas Class 7 maths tests rather than to one book's chapter order, so they work whether your school uses NCERT's Ganita Prakash or its own text.

How long should a Class 7 child spend on one sheet?

Twenty-five to thirty minutes. If it runs much longer, work through the worked examples together first - the difficulty is usually the method rather than the arithmetic.

Can I print these worksheets?

Yes. They print cleanly on A4 with the answers on a separate final page, and nothing needs to be downloaded or signed up for.

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