1.2 Calculating with integers and negative numbers
9 exam questions worth 21 marks. Write your answer, open the mark scheme, then give yourself the marks you earned. Your answers are saved on this device.
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What is -8 - (-3)?
Choose one answer.
Correct Not quite: the answer is -5
Mark scheme
B: -5
Model answer
-5 (B). Subtracting -3 is the same as adding 3: -8 + 3 = -5.
Work out 3847 + 2695.
Mark scheme
M1: correct column addition with carrying; A1: 6542
Model answer
3847 + 2695 = 6542.
Work out 5010 - 2487.
Mark scheme
M1: correct column subtraction method; A1: 2523
Model answer
5010 - 2487 = 2523. Check: 2523 + 2487 = 5010.
Work out 47 \times 38. Show your working.
Mark scheme
M1: 47 × 8 = 376 or 47 × 30 = 1410; M1: adding the two partial products; A1: 1786
Model answer
47 × 8 = 376 and 47 × 30 = 1410. 376 + 1410 = 1786.
Work out 2856 \div 12.
Mark scheme
M1: long or short division method started correctly; M1: continuing correctly; A1: 238
Model answer
12 into 28 goes 2 remainder 4; 12 into 45 goes 3 remainder 9; 12 into 96 goes 8. The answer is 238.
What is the value of (-4) \times (-6)?
Choose one answer.
Correct Not quite: the answer is 24
Mark scheme
D: 24
Model answer
24 (D). Two negative numbers multiply to give a positive number.
A diver is at a depth of -18 m. She rises 7 m and then dives a further 12 m. Work out her final depth.
Mark scheme
M1: -18 + 7 = -11; M1: -11 - 12; A1: -23 m
Model answer
-18 + 7 = -11, then -11 - 12 = -23. She is at -23 m.
A box holds 24 pencils. A school buys 37 boxes. How many pencils is that?
Mark scheme
M1: 24 × 37 or 24 × 30 and 24 × 7; M1: 720 + 168; A1: 888
Model answer
24 × 30 = 720 and 24 × 7 = 168. 720 + 168 = 888 pencils.
A coach costs £252 to hire for a school trip. 28 students share the cost equally. Each student also pays £18 for entry. Work out the total amount each student pays.
Mark scheme
M1: 252 ÷ 28; A1: 9; A1: 27 (£27)
Model answer
252 ÷ 28 = 9, so the coach is £9 each. 9 + 18 = £27.
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