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.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.
- 2.Which of these decimals lies between 1/4 and 2/5?
- 3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
- 4.Round 0.006852 to 2 significant figures.
- 5.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.
- 6.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.
- 7.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
- 8.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
- 9.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 10.Which one of these statements is true?
- 11.Simplify √8 + √18, giving your answer in the form k√2.
- 12.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.
- 13.Work out ⁴√81
- 14.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
- 15.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
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