Number worksheet — GCSE Foundation

1.Write 45,000 in standard form.

2.Write 200 as a product of its prime factors, using index notation.

3.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

4.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

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

6.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

7.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

8.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

9.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

10.Work out 250 ÷ 1000.

11.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

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

13.Write down the value of 7⁰

14.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

15.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.