Number worksheet — GCSE Foundation

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

2.Work out (5 + 2) × 3²

3.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

4.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

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

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

7.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

8.Work out how many factors 36 has.

9.Work out 6² − 4².

10.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

11.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

12.4ˣ = 64. Work out the value of x.

13.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

14.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.

15.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.