Number worksheet — GCSE Foundation

1.Which of these statements about −0.7 and −0.25 is true?

2.Write down the symbol that makes this statement true: 3/10 ___ 0.3

3.Work out 20 − 8 ÷ 2 + 1

4.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

5.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

6.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

7.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

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

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

10.Work out (−3) × 4 + 2 × (−5)

11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

12.Work out the value of ∛8.

13.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

14.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

15.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².