Number worksheet — GCSE Foundation

1.Write 60 as a product of its prime factors, using index notation.

2.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.

3.Write down the symbol that makes this statement true: 6/11 ___ 4/11

4.Work out ⁴√81

5.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.

6.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

7.3/5 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.

8.Simplify x⁷ × x⁴, giving your answer as a single power of x.

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

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

11.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

12.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.

13.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

14.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

15.Write 0.325 as a fraction in its simplest form.