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
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 3.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 4.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
- 5.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
- 6.Simplify (3a²)² × (2a)³
- 7.Work out √144 − 2 × 3 + √25
- 8.3/5 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.
- 9.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.
- 10.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 11.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.
- 12.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 13.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
- 14.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 15.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
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