Number worksheet — GCSE Foundation

1.In the number 3.472, work out the value of the digit 7.

2.4ˣ = 64. Work out the value of x.

3.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

4.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.

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

6.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

7.Work out (5 + 2) × 3²

8.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

9.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

10.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

11.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

12.Write 0.25 as a fraction in its simplest form.

13.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

14.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

15.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.