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.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.
- 2.After a price increase of 10%, a laptop costs £330. Work out the original price.
- 3.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.
- 4.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 5.Write 0.36 as a fraction in its simplest form.
- 6.Write 5/6 as a decimal, showing clearly which digit recurs.
- 7.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
- 8.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.
- 9.Write 7/12 as a decimal, showing clearly which digit is recurring.
- 10.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.
- 11.Simplify ⁴√(16a⁸b¹²)
- 12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 13.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.
- 14.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 15.Work out 3.7 × 24.
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