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
MathsUKwww.geekhero.co.uk
- 1.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 2.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
- 3.Work out (−36) ÷ (−6) × 2
- 4.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 5.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.
- 6.Work out the reciprocal of (2 + 3)
- 7.Write 5,000,000 in standard form.
- 8.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 9.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
- 10.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
- 11.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
- 12.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 13.Work out (−2)² − 3
- 14.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?
- 15.Which of these statements about −0.7 and −0.25 is true?
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