Number worksheet — GCSE Foundation

1.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

2.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

3.Work out −4.5 + 2.8.

4.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

5.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

6.Which of these statements about −0.7 and −0.25 is true?

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

8.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

9.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

10.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

11.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

12.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

13.Work out 100 − 4 × 5²

14.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

15.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.