Number worksheet — GCSE Foundation

1.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

2.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

3.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

4.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

5.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.

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

7.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

8.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

9.Work out √25 + 4² − 12 ÷ 3

10.Which one of these statements is true?

11.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

12.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

13.Write '3.2 million' as a number in figures.

14.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.

15.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.