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.Work out (−2)³ + (−3)² − (−4)
- 2.Which of these statements about −0.7 and −0.25 is true?
- 3.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
- 4.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
- 5.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 6.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 7.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.
- 8.Write down the exact decimal value of the fraction 1/6.
- 9.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 10.Work out 4368 ÷ 12.
- 11.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
- 12.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
- 13.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.
- 14.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 15.Work out 3.7 × 24.
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