Class 7 Integers Worksheet (Operations with Integers)

By the MuftTools.in teamUpdated October 2026How we check

From adding integers to multiplying them

In Class 6, The Other Side of Zero (Chapter 10 of Ganita Prakash) introduces negative numbers and how to add and subtract them. Class 7 takes the next step. Operations with Integers, Chapter 2 of Ganita Prakash Part 2, is about multiplying and dividing integers and the sign rules that go with them: why a negative times a positive is negative, and why a negative times a negative turns out positive.

This worksheet focuses on that part of the chapter. Questions you will see include:

• products and quotients with signs, such as (–7) × 6 or (–45) ÷ 9;
• products of three integers, where the child has to keep track of every negative sign;
• a product followed by an addition, so the order of steps matters;
• true or false statements about the sign rules themselves, for example whether the product of two negative integers is negative;
• word problems set in daily life: a lift going below the ground floor, the night temperature in a hill town, and a shop account that slips into a shortfall after paying a bill.

If your child still mixes up addition of negative numbers, start with the Class 6 integers worksheet before this one.

Setting up the sheet

1. Class 7 and Operations with Integers are already selected, with 15 questions at Medium level.
2. Choose Easy if the sign rules are new. Easy keeps to one multiplication or division per blank.
3. Medium and Hard add three-number products and mixed steps such as (–9) × 4 + 7.
4. The answer key prints on the last page. Keep that page aside before handing over the sheet.
5. For a class test, choose 20 questions and Sets A, B, and print each set for alternate rows.

Where children usually go wrong

Most mistakes in this chapter are sign mistakes, not table mistakes. A child who knows 7 × 8 = 56 may still write –56 for (–7) × (–8). A simple habit helps: decide the sign first and write it down, then multiply the numbers as if they had no signs. For a product of several integers, count the negative signs. An even count gives a positive answer and an odd count gives a negative one.

Another mix-up comes from carrying the addition rule into multiplication. Since (–3) + (–4) is –7, children expect (–3) × (–4) to be negative too. Write the two questions side by side and talk about the difference. A pattern often makes the rule feel natural: 3 × (–4) = –12, 2 × (–4) = –8, 1 × (–4) = –4, 0 × (–4) = 0, so the next step, (–1) × (–4), must be 4.

The word problems are a good chance to talk about what a negative answer means. Floor –2 is two floors below the ground, and an account showing ₹–500 is ₹500 short. When you mark with the answer key, ask your child to say the answer in words as well as numbers. A short sheet a few times a week, until the sign slips stop, is a sensible routine. For revision across the whole year, try the Class 7 maths worksheet with mixed topics.

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