Number worksheet — GCSE Foundation

1.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.

2.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.

3.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

4.Which one of these statements about negative numbers is true?

5.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

6.Work out how many factors 100 has.

7.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

8.Write down the symbol that makes this statement true: 0.45 ___ 0.5

9.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

10.Work out 2 × (−3 + 7)

11.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

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

13.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

14.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

15.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.