Number worksheet — GCSE Foundation

1.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.

2.Work out the value of ∛8.

3.Which one of these statements is true?

4.Write 90 as a product of its prime factors.

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

6.Work out 3 + 4 × 2²

7.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

8.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

9.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.

10.Work out √49

11.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

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

13.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

14.Which of these units would be most appropriate to use when stating the mass of a small car?

15.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.