Number worksheet — GCSE Foundation

1.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.

2.Work out how many factors 36 has.

3.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

4.Write down the reciprocal of 5/8

5.Write down the value of 7⁰

6.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

7.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.

8.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.

9.Find the missing number: ▢ ÷ 15 = 24

10.Write 0.45 as a fraction in its simplest form.

11.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

12.Work out 2 × (−3 + 7)

13.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

14.Work out the value of ∛8.

15.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.