Number worksheet — GCSE Foundation

1.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

2.Work out the lowest common multiple of 4 and 6.

3.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

4.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

5.Which of these decimals lies between 1/4 and 2/5?

6.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

7.Work out √144

8.Write the mixed number 2 1/4 as an improper fraction.

9.Work out ⁴√81

10.Work out how many factors 100 has.

11.Round 0.006482 to 2 significant figures.

12.4ˣ = 64. Work out the value of x.

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

14.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.

15.Simplify (y³)⁴, giving your answer as a single power of y.