Number worksheet — GCSE Foundation

1.Work out 18 − 4 × 2

2.Round 3.947 to 2 decimal places.

3.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.

4.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

5.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.

6.Write 0.325 as a fraction in its simplest form.

7.Write down the value of 3⁰

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

9.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

10.Work out −4.5 + 2.8.

11.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

12.Write the fraction 3/4 as a decimal.

13.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

14.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

15.Work out 4π + 2π, giving your answer as a multiple of π.