Number worksheet — GCSE Foundation

1.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

2.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

3.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.

4.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

5.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.

6.Work out 3 + 4 × (−2).

7.Work out the value of 2⁻²

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

9.Simplify x⁷ × x⁴, giving your answer as a single power of x.

10.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

11.Work out (−6) + (−4) × 3

12.Work out the value of ∛125.

13.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

14.Which of these is equal to 5³?

15.Write 0.36 as a fraction in its simplest form.