Number worksheet — GCSE Foundation

1.Work out √25 + 4² − 12 ÷ 3

2.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.

3.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

4.Work out √(4 × 9)

5.Work out the highest common factor of 12 and 18.

6.Work out (−36) ÷ (−6) × 2

7.Work out −6 × (−3).

8.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

9.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

10.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

11.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

12.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.

13.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

14.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

15.Write down the value of 3⁰