Number worksheet — GCSE Foundation

1.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.

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

3.Write down the decimal that is equal to 3/5.

4.Work out the value of 6² − 4³.

5.Is 120 divisible by 5? Give a reason for your answer.

6.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.

7.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

8.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

9.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

10.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.

11.Work out 3 + 4 × 2²

12.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

13.Work out the value of 2⁻⁴

14.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

15.Work out 5⁰ + 5¹ + 5²