Number worksheet — GCSE Foundation

1.Write the mixed number 2 1/4 as an improper fraction.

2.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

3.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

4.Work out the reciprocal of (2 + 3)

5.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

6.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

7.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

8.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

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

10.Which of these numbers is the largest: −9, −7, −4, −2?

11.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

12.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

13.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

14.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.

15.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.