1.24 Rounding to decimal places and significant figures
9 exam questions worth 19 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 3.14159 rounded to 2 decimal places?
Choose one answer.
Correct Not quite: the answer is 3.14
Mark scheme
B: 3.14
Model answer
3.14 (B). The decider is 1, so the second decimal place stays 4.
(a) Round 0.0678 to 2 significant figures. (b) Round 4857 to the nearest 100.
Mark scheme
B1: 0.068; B1: 4900
Model answer
(a) 0.068. (b) 4900.
(a) Round 2.996 to 2 decimal places. (b) Round 7.0486 to 3 significant figures.
Mark scheme
B1: 3.00; B1: 7.05
Model answer
(a) 3.00 (the trailing zeros must be written). (b) 7.05.
(a) Write 0.004567 correct to 2 significant figures. (b) Write 40 593 correct to 2 significant figures.
Mark scheme
B1: 0.0046; B1: 41 000
Model answer
(a) 0.0046. (b) 41 000.
Work out 7.3 \div 2.9. Give your answer correct to 3 significant figures.
Mark scheme
M1: 2.5172...; A1: 2.52
Model answer
7.3 ÷ 2.9 = 2.5172... = 2.52 (3 s.f.).
Work out 5.67 \times 3.2. Give your answer to 1 decimal place.
Mark scheme
M1: 18.144; A1: 18.1
Model answer
5.67 × 3.2 = 18.144 = 18.1 (1 d.p.).
A coach holds 52 passengers. 230 students go on a trip. How many coaches are needed?
Mark scheme
M1: 230 ÷ 52 = 4.4...; A1: 5
Model answer
230 ÷ 52 = 4.42..., and you cannot have part of a coach, so 5 coaches are needed.
Mia rounds 1.2449 to 1.245 and then rounds 1.245 to 1.25 to get 2 decimal places. Explain Mia's mistake and write down the correct answer.
Mark scheme
B1: she rounded twice (she should only look at the third decimal place, 4); B1: 1.24
Model answer
Mia rounded twice. To round to 2 decimal places you look only at the third decimal place (4), so the answer is 1.24.
Work out \dfrac{3.84 + 2.17}{0.0312}. Write down all the digits on your calculator display and then give your answer correct to 3 significant figures.
Mark scheme
M1: 3.84 + 2.17 = 6.01; M1: 6.01 ÷ 0.0312; B1: 192.628... (calculator display); A1: 193
Model answer
3.84 + 2.17 = 6.01 and 6.01 ÷ 0.0312 = 192.628... = 193 (3 s.f.).
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