Number worksheet — GCSE Higher

1.Work out 35% of 180.

2.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

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

4.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

5.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.

6.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

7.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

8.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

9.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

10.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

11.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

12.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

13.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

14.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.

15.A driving instructor is working out how many current-style UK number plates are possible. The format is 2 letters, then 2 digits, then a space, then 3 letters (for example AB12 CDE). The letters I, O and Q are never used in any letter position, leaving 23 allowed letters, but every letter and every digit may repeat anywhere on the plate. Work out how many different number plates are possible, giving your answer in standard form to 2 significant figures.