Number worksheet — GCSE Foundation

1.Write down the reciprocal of 5/8

2.Work out 0.6 × 0.04.

3.Work out the value of ∛8.

4.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

5.3.4 × 10⁵ is written as an ordinary number. Work out this number.

6.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

7.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

8.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

9.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

10.Work out how many factors 36 has.

11.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

12.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

13.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

14.Work out 8% of £250.

15.Work out 3/8 of 96.