Number worksheet — GCSE Foundation

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

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 pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

4.Work out √144

5.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

6.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

7.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

8.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.

9.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

10.Work out −(−3)⁴ + (−3)³

11.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

12.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

13.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

14.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

15.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?