Number worksheet — GCSE Foundation

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

2.Work out (−2)³ + (−3)² − (−4)

3.Work out (−3) × 4 + 10

4.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

5.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

6.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

7.Round 24,681 to the nearest 1,000.

8.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

9.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

10.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

11.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

12.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

13.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

14.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

15.Write down the value of 7⁰