Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Number worksheet — GCSE Higher
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- 1.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 2.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 3.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.
- 4.Work out the value of .
- 5.Which of these decimals lies between 1/4 and 2/5?
- 6.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 7.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 8.Work out (−2)³ + (−3)² − (−4)
- 9.Work out (−2)² − 3
- 10.Which one of these statements is true?
- 11.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
- 12.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 13.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 14.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 15.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
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