Number worksheet — GCSE Higher

1.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.

2.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

3.Work out 3 × (−2)² − 5

4.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

5.Work out 3.7 × 24.

6.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

7.Estimate the value of √45, giving your answer to the nearest whole number.

8.Work out the value of √(16 + 9)

9.Write 0.36 as a fraction in its simplest form.

10.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

11.3/5 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.

12.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

13.Round 0.006482 to 2 significant figures.

14.4ˣ = 64. Work out the value of x.

15.Work out ((−3) + 5) × (−4) − (−6) ÷ 2