Number worksheet — GCSE Foundation

1.Work out 10% of 30% of £200.

2.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

3.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

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

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

6.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

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 machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

9.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

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

11.3/5 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.

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

13.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

14.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.

15.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.