Number worksheet — GCSE Foundation

1.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

2.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

3.Work out 100 − 4 × 5²

4.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

5.Work out 2/5 + 1/4, giving your answer in its simplest form.

6.Work out (−3) × 4 + 10

7.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

8.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

9.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

10.Round 0.006852 to 2 significant figures.

11.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

13.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

14.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.

15.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.