Number worksheet — GCSE Foundation

1.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.

2.Work out the value of √(16 + 9)

3.Work out the value of √64.

4.Work out 2 × (−3 + 7)

5.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

6.Write down the decimal that is equal to 3/5.

7.Which of these numbers lies between −4 and −1 on a number line?

8.Find the missing number: 17 × ▢ = 391

9.Work out 100 − 4 × 5²

10.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

11.Work out the value of 6² − 4³.

12.Amelia eats 5/8 of a bar of chocolate and Oliver eats 3/4 of an identical bar. Write both amounts as eighths and write down the greater of the two fractions.

13.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

14.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

15.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.