Covers Lessons 1–5: Place value, integers, and order of operations.
Question 9 3 marks
Evaluate: $-12 + 8 - (-5) + (-3)$. Show all working.
$-12 + 8 = -4$ [1]
$-4 - (-5) = -4 + 5 = 1$ [1]
$1 + (-3) = -2$ [1]
Final answer: $-2$
Question 10 3 marks
The temperature at 6 am was $-4$ degrees. By midday it had risen by 11 degrees. By 6 pm it had fallen by 7 degrees from the midday temperature. What was the temperature at 6 pm?
Midday temperature: $-4 + 11 = 7$ degrees [1]
6 pm temperature: $7 - 7 = 0$ degrees [1]
Clear working shown with correct answer [1]
Final answer: $0$ degrees
Question 11 4 marks
(a) Evaluate: $20 - 4 \times (3 + 2) \div 5$ 2 marks
(b) Insert one pair of brackets to make this statement true: $5 + 3 \times 4 - 2 = 30$ 2 marks
(a) $20 - 4 \times (3 + 2) \div 5$
$= 20 - 4 \times 5 \div 5$ (brackets first) [1]
$= 20 - 20 \div 5$
$= 20 - 4 = 16$ [1]
(b) $(5 + 3) \times 4 - 2 = 8 \times 4 - 2 = 32 - 2 = 30$ [2]
Final answers: (a) $16$ (b) $(5 + 3) \times 4 - 2$