Number worksheet — GCSE Foundation

1.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

2.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

3.Work out 4368 ÷ 12.

4.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

5.Write down the reciprocal of 0.2

6.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

7.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

8.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

9.Write down the fraction, in its simplest form, that is equal to 0.6

10.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

11.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

12.Work out the highest common factor of 12 and 18.

13.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

14.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

15.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.