Number worksheet — GCSE Foundation

1.Which of these numbers is the largest: −9, −7, −4, −2?

2.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.

3.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

4.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.

5.Work out 3 × (−2)² − 5

6.4ˣ = 64. Work out the value of x.

7.Write the fraction 47/50 as a decimal.

8.Work out 20 − 8 ÷ 2 + 1

9.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

10.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

11.Work out the reciprocal of (2 + 3)

12.Work out 6² − 4².

13.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

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

15.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.