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.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.
- 2.Work out ⁴√16
- 3.Which of these statements about −0.7 and −0.25 is true?
- 4.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?
- 5.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.
- 6.Simplify √8 + √18, giving your answer in the form k√2.
- 7.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.
- 8.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 9.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 10.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 11.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 12.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.
- 13.Round 592.5 to the nearest 10.
- 14.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.
- 15.Work out √(4 × 9)
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