Number worksheet — GCSE Foundation

1.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

2.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

3.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.

4.Work out 250 ÷ 1000.

5.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

6.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

7.Work out 100 − 4 × 5²

8.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?

9.A country has an area of 25,000,000 hectares. Write this area in standard form.

10.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

11.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

12.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

13.Work out 1/2 of 1/4 of 80.

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