Number worksheet — GCSE Higher

1.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

2.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.

3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

4.Simplify x⁷ × x⁴, giving your answer as a single power of x.

5.Write 0.875 as a fraction in its simplest form.

6.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.

7.3/5 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.

8.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

9.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

10.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

11.Work out (2/3)² + (1/2)². Give your answer as a fraction.

12.Write 0.005 in standard form.

13.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.

14.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

15.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.