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.Work out how many factors 100 has.
- 2.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 3.Work out the exact value of √(2² + 3²)
- 4.A country has an area of 25,000,000 hectares. Write this area in standard form.
- 5.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
- 6.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 7.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 8.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 9.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.
- 10.Work out (−3) × 4 + 2 × (−5)
- 11.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 12.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 13.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 14.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.
- 15.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.
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