Number worksheet — GCSE Foundation

1.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

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

3.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

4.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.

5.Work out (−6) + (−4) × 3

6.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

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

8.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

10.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

11.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

12.Work out 36 ÷ (2 × 3)

13.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.

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

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