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.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 2.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 3.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 4.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.
- 5.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.
- 6.Work out √25 + 4² − 12 ÷ 3
- 7.Work out the exact value of √(2² + 3²)
- 8.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 9.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.
- 10.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 11.Write down the reciprocal of 0.2
- 12.Simplify (x⁻²)³, giving your answer as a fraction.
- 13.Work out (−2)³ + (−3)² − (−4)
- 14.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
- 15.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
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