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.Write 60 as a product of its prime factors, using index notation.
- 2.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.
- 3.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.
- 4.Work out 100 − 4 × 5²
- 5.Work out ⁴√16
- 6.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
- 7.Round 0.006482 to 2 significant figures.
- 8.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
- 9.Which of these decimals lies between 1/4 and 2/5?
- 10.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.
- 11.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 12.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 13.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 14.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 15.Simplify x⁷ × x⁴, giving your answer as a single power of x.
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