Number worksheet — GCSE Foundation

1.Work out −4.5 + 2.8.

2.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

3.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

4.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

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

6.Work out (−3) × 4 + 10

7.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

8.Which of these is equal to 5³?

9.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.

10.Write the mixed number 2 1/4 as an improper fraction.

11.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

12.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

13.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

14.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

15.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.