Number worksheet — GCSE Foundation

1.Work out 2 × (−3 + 7)

2.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

3.3/5 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.

4.Work out √25 + 4² − 12 ÷ 3

5.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

6.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

7.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

8.Which of these numbers lies between −4 and −1 on a number line?

9.Work out −(−3)⁴ + (−3)³

10.Work out √144

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

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

13.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

14.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

15.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.