Number worksheet — GCSE Foundation

1.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.

2.Work out (−6) + (−4) × 3

3.Write down the symbol that makes this statement true: 6/11 ___ 4/11

4.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.

5.Which of these is equal to 5³?

6.Is 120 divisible by 5? Give a reason for your answer.

7.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

8.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

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

10.2/3 of an amount of money is £30. Work out the amount.

11.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

12.Write 12 as a product of its prime factors.

13.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

14.Work out the value of √64.

15.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.