Number worksheet — GCSE Higher

1.Write 0.325 as a fraction in its simplest form.

2.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

3.The density of a metal is calculated using density = mass ÷ volume. A sample has a mass of 156 g, correct to the nearest gram, and a volume of 12 cm³, correct to the nearest cm³. Work out the minimum possible density, in g/cm³.

4.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

5.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

6.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

7.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

8.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

9.Write down the symbol that makes this statement true: −2/3 ___ −5/6

10.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

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

12.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.

13.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

14.Work out ⁴√16

15.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.