Number worksheet — GCSE Foundation

1.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

2.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

3.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

4.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

5.Round 592.5 to the nearest 10.

6.Work out the value of √(16 + 9)

7.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

8.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

9.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

10.Work out −7 − (−3).

11.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

12.Work out 3π − π, giving your answer as a multiple of π.

13.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

14.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

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