Number worksheet — GCSE Foundation

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

2.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

3.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.

4.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

5.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

6.Work out √144 − 2 × 3 + √25

7.Work out 35% of 180.

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

10.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

11.Simplify (y³)⁴, giving your answer as a single power of y.

12.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

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

14.Work out 3/8 of 96.

15.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.