Number worksheet — GCSE Foundation

1.Round 24,681 to the nearest 1,000.

2.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

3.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.

4.Work out 4π + 2π, giving your answer as a multiple of π.

5.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

6.Write '3.2 million' as a number in figures.

7.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

8.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

9.Simplify x⁶ ÷ x²

10.Write down the fraction, in its simplest form, that is equal to 0.6

11.Which of these numbers is the largest: −9, −7, −4, −2?

12.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

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

14.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

15.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.