Number worksheet — GCSE Foundation

1.Work out (5 + 2) × 3²

2.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

3.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

5.Write 260,000 in standard form.

6.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

7.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

8.Which one of these statements is true?

9.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

10.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

11.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

12.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

13.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

14.Write down the reciprocal of 5/8

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