Number worksheet — GCSE Higher

1.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

2.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

3.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

4.The density of a metal is calculated using density = mass ÷ volume. A sample has a mass of 156 g, correct to the nearest gram, and a volume of 12 cm³, correct to the nearest cm³. Work out the minimum possible density, in g/cm³.

5.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

6.Work out the value of (1/3)⁻²

7.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

8.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

9.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

10.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

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

12.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.

13.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

14.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

15.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.