Maths Library

Operations with Integers: Year 7 maths

This topic develops fluency in adding, subtracting, multiplying, and dividing directed numbers. The sheet focuses on mastering sign rules and multi-step calculations with bracketed integers.

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What this covers

Operations with Integers is taught in Year 7 (age 11 to 12, KS3) as a main teaching focus. It sits in the Number strand.

Worked example

Calculate (-4) × (-3) - 15.

  1. Multiply negative by negative: (-4) × (-3) = 12
  2. Subtract 15 from 12: 12 - 15
  3. Calculate the final value: -3

Answer: -3

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Addition and subtraction of single digits involving one negative number
  2. Multiplication and division of two directed integers up to 12
  3. Subtracting a negative number and expressions with mixed addition/subtraction
  4. Multi-step expressions using BIDMAS/PEMDAS with negative values
  5. Complex nested brackets and powers of negative integers

Common mistakes

  • Applying the rule 'two negatives make a positive' incorrectly to addition (e.g. -4 - 3 = +7)
  • Misidentifying the sign when dividing a negative by a positive

Curriculum links

Indicative matches to National Curriculum for England. Check wording and codes against the official document.

  • Use the four operations applied to positive and negative integers, decimals, and proper and improper fractions.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Operations with Integers

Year 7 maths

Qs
6
Marks
6
NameDateScore / 6
1.
2 + (−2) =
[1]
2.
8 − 3 =
[1]
3.
−4 − 4 =
[1]
4.
5 + 4 =
[1]
5.
4 − (−3) =
[1]
6.
−6 + (−8) =
[1]

Answer key

  1. 0Adding (−2) moves left on the number line; 2 + (−2) = 0
  2. 5Subtracting 3 is the same as adding −3; 8 − 3 = 5
  3. −8Subtracting 4 is the same as adding −4; −4 − 4 = −8
  4. 9Adding 4 moves right on the number line; 5 + 4 = 9
  5. 7Subtracting (−3) is the same as adding 3; 4 − (−3) = 7
  6. −14Adding (−8) moves left on the number line; −6 + (−8) = −14