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.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 2.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 3.Write 0.36 as a fraction in its simplest form.
- 4.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 5.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 6.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.
- 7.Simplify (3a²)² × (2a)³
- 8.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 9.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 10.Write 60 as a product of its prime factors, using index notation.
- 11.Simplify x⁶ ÷ x²
- 12.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
- 13.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 14.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 15.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
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