Number worksheet — GCSE Foundation

1.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

2.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

3.In the number 3.472, work out the value of the digit 7.

4.Work out ⁴√16

5.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

6.Write 0.25 as a fraction in its simplest form.

7.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

8.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

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

10.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.

11.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

12.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

13.Work out (−2)² − 3

14.Write 0.325 as a fraction in its simplest form.

15.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.