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.Work out the reciprocal of (2 + 3)

3.Work out 3.7 × 24.

4.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

5.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

6.Find the missing number: 17 × ▢ = 391

7.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

8.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

9.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

10.Write down the reciprocal of 5/8

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

12.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

13.Which of these is equal to 5³?

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

15.Round 0.0759 to 2 decimal places.