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.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 2.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 3.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
- 4.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 5.Simplify ⁴√(16a⁸b¹²)
- 6.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 7.Write 90 as a product of its prime factors.
- 8.Work out ∛64.
- 9.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.
- 10.Write 0.06 as a fraction in its simplest form.
- 11.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
- 12.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
- 13.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 14.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.
- 15.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.
Build your own mix at the worksheet builder.