Number worksheet — GCSE Foundation

1.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

2.Which of these is written correctly in standard form?

3.Work out the value of 5³.

4.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

5.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

6.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

7.3.4 × 10⁵ is written as an ordinary number. Work out this number.

8.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

9.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

10.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.

11.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

12.Given that 2⁵ = 32, work out 2⁶.

13.Work out the value of √49 + ∛27

14.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

15.Write 0.45 as a fraction in its simplest form.