Number worksheet — GCSE Higher

1.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.

2.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.

3.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

4.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

5.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

6.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

7.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

8.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

10.Work out 36 ÷ (2 × 3)

11.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

12.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

13.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

14.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

15.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.