Number worksheet — GCSE Foundation

1.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

2.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

3.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

4.Work out the highest common factor of 20 and 32.

5.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

6.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

7.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

8.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

9.Write 0.45 as a fraction in its simplest form.

10.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

11.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?

12.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

13.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

14.Work out ⁴√16

15.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.