Number worksheet — GCSE Foundation

1.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.

2.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

3.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

4.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.

5.Work out 0.6 × 0.04.

6.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

7.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

8.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

9.Which of these statements about −0.7 and −0.25 is true?

10.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.

11.Write down a prime number between 30 and 40.

12.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

13.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.

14.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

15.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.