Number worksheet — GCSE Foundation

1.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

2.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

3.Write down the reciprocal of 5/8

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

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

6.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

7.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

8.Work out −6 × (−3).

10.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

11.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.

12.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

13.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

14.Work out the value of √64.

15.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.