Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.
Level 1 · Warm-up
1 Evaluate: −3 + 8
Show worked solution
Different signs → find the gap: 8 − 3 = 5. The 8 is positive and bigger, so the answer is 5.
2 Evaluate: −5 − 7
Show worked solution
Start at −5 and walk 7 further left: −12. (Same signs when adding: sizes add, sign stays.)
3 Evaluate: (−4) × 6
Show worked solution
Different signs → negative. 4 × 6 = 24, so the answer is −24.
Level 2 · Core
4 Evaluate: (−36) ÷ (−9)
Show worked solution
Same signs → positive. 36 ÷ 9 = 4, so the answer is 4.
5 Evaluate: 7 + (−12) − (−5)
Show worked solution
Tidy the signs first: 7 − 12 + 5. Left to right: 7 − 12 = −5, then −5 + 5 = 0.
6 Evaluate: 5 × (−2)²
Show worked solution
Orders before multiplication: (−2)² = 4. Then 5 × 4 = 20.
Level 3 · Challenge
7 Evaluate: 12 − 8 ÷ (−2) × 3
Show worked solution
÷ and × left to right: 8 ÷ (−2) = −4, then −4 × 3 = −12. So 12 − (−12) = 12 + 12 = 24.
8 Evaluate: (−3)² − 4 × (−2) + 6 ÷ (−6)
Show worked solution
Orders: (−3)² = 9. Then × and ÷: 4 × (−2) = −8 and 6 ÷ (−6) = −1. So 9 − (−8) + (−1) = 9 + 8 − 1 = 16.
9 Evaluate: ((−2) − 4) × ((−3) + 5) ÷ (−4)
Show worked solution
Brackets first: (−2) − 4 = −6 and (−3) + 5 = 2. Then left to right: −6 × 2 = −12, and −12 ÷ (−4) = 3.