Standard difficulty · 20 questions · 40 marks
Show your working for Sections B and C. Answers are on the last page — try every question first!
Operations with Integers · AW-7M-INT-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.
| Q | Answer | Working |
|---|---|---|
| 1 | (d) 35 | negative × negative = positive |
| 2 | (a) positive | an even number of negative factors gives a positive product |
| 3 | (d) 18 | −18 + 18 = 0 |
| 4 | (d) 3 | on the number line the greatest is furthest right |
| 5 | (a) −12 | negative ÷ positive = negative |
| 6 | (b) 0 | −16 + 16 = 0 |
| 7 | (c) a × 0 = 0 for every integer a | division by zero is not defined; subtraction is not commutative |
| 8 | (a) −6 | 6 factors of (−1) multiply to 1, so the answer is −6 |
| 9 | −11 | (−11) + (−28) + 28 = −11 |
| 10 | −85 | (−15) + (−30) + (−40) = −85 |
| 11 | −38 | (−37) + (−37) + 36 = −38 |
| 12 | 270 | (−9 × 5) = −45; −45 × (−6) = 270 |
| 13 | 12 | negative ÷ negative = positive |
| 14 | −29, −16, 3, 6, 19, 21 | smallest (most negative) first |
| 15 | 4 | 4 × (10 − 9) = 4 × 1 = 4 |
| 16 | 160 | −40 × (−4) = 160 |
| 17 | −27°C | 5 − 4 × 8 = 5 − 32 = −27°C |
| 18 | 39 marks | 11 × 4 + 5 × (−1) = 44 − 5 = 39 |
| 19 | −93 m (i.e. 93 m below sea level) | −27 + (−6 × 11) = −27 − 66 = −93 |
| 20 | −3 (basement level 3) | 4 + 11 − 18 = −3 |