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
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- 1.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 2.Work out √25 + 4² − 12 ÷ 3
- 3.Simplify x⁶ ÷ x²
- 4.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
- 5.Write 60 as a product of its prime factors, using index notation.
- 6.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 7.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
- 8.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 9.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 10.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.
- 11.Work out the value of 2⁻⁴
- 12.Work out √144 − 2 × 3 + √25
- 13.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 14.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.
- 15.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
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