Number worksheet — GCSE Foundation

1.4ˣ = 64. Work out the value of x.

2.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

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

4.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

5.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

6.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

7.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

8.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

9.Work out the lowest common multiple of 9 and 15.

10.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

11.Work out the value of 6² − 4³.

12.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

13.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

14.Which of these is equal to 5³?

15.Write 0.45 as a fraction in its simplest form.