Number worksheet — GCSE Foundation

1.Work out 3³ + 2⁴.

2.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

3.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

4.Round 3.947 to 2 decimal places.

5.Write 60 as a product of its prime factors, using index notation.

6.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

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

8.Which of these statements about −0.7 and −0.25 is true?

9.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.

10.Write '3.2 million' as a number in figures.

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

12.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

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

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

15.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.