Number worksheet — GCSE Foundation

1.Work out how many factors 100 has.

2.Work out the highest common factor of 20 and 32.

3.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.

4.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

5.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

6.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

7.Work out 4π + 2π, giving your answer as a multiple of π.

8.Round 592.5 to the nearest 10.

9.Work out the highest common factor of 15 and 25.

10.Work out 3 × (−2)² − 5

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

12.Work out √(4 × 9)

13.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

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

15.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.