Number worksheet — GCSE Foundation

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

2.Work out √49

3.Work out 3³ + 2⁴.

4.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

5.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

6.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

7.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

8.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

9.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

10.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

11.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

12.Write 200 as a product of its prime factors, using index notation.

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

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

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