Number worksheet — GCSE Foundation

1.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.

2.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

3.Work out ⁴√81

4.Work out 10% of 30% of £200.

5.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

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

7.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

8.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

9.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

10.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

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

12.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

13.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

14.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.

15.Work out −4.5 + 2.8.