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
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.Simplify √8 + √18, giving your answer in the form k√2.
- 3.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
- 4.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 5.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.
- 6.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.
- 7.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 8.Which one of these statements is true?
- 9.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 10.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.
- 11.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 12.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.
- 13.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.
- 14.Work out the value of 6² − 4³.
- 15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
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