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.
Number worksheet — GCSE Higher
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- 1.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 2.Work out the value of .
- 3.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 4.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.
- 5.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 6.Work out (−2)³ + (−3)² − (−4)
- 7.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
- 8.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
- 9.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
- 10.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.
- 11.Simplify (3a²)² × (2a)³
- 12.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 13.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
- 14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 15.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
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