Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Number 5
18 practice questions
Practice questions
11–18 of 18
Question 11
3 marks · Normal
Answer and see the solution →Estimate the value of 43.7 × 8.2 by rounding each number to 1 significant figure before multiplying.
Question 12
4 marks · Normal
Answer and see the solution →A milk bottle is filled to 1.25 litres, measured to the nearest 0.05 litre.
(a)[2 marks]Write down the lower and upper bounds for the volume of the milk bottle.
(b)[2 marks]If you pour out 0.30 litres (measured to the nearest 0.01 litre), what is the greatest possible amount of milk left in the bottle?
Question 13
2 marks · Normal
Answer and see the solution →Explain why writing 0.037 as is correct, and why is not considered standard form.
Question 14
3 marks · Normal
Answer and see the solution →A car travels 153 kilometres in 2 hours 35 minutes. Give the average speed in metres per second. Give your answer to 2 decimal places.
Question 15
4 marks · Normal
Answer and see the solution →A solid cuboid has length 10.2 cm, width 4.8 cm (both measured to the nearest 0.1 cm), and height 6.0 cm (measured to the nearest 0.5 cm).
(a)[2 marks]Write down the lower and upper bounds for the height of the cuboid.
(b)[2 marks]Calculate the lower and upper bounds for the volume of the cuboid. Give your answers correct to 3 significant figures.
Question 16
4 marks · Hard
Answer and see the solution →A scientist measures the mass of a metal rod to be 756.7 g to the nearest gram and its length to be 120.5 cm to the nearest 0.1 cm.
(a)[2 marks]Write down the lower and upper bounds for the mass and length measurements.
(b)[2 marks]Calculate the minimum and maximum possible density of the rod in g/cm³. Density = Give both answers correct to 3 significant figures.
Question 17
4 marks · Hard
Answer and see the solution →The diameter of a pipe is measured as 8.60 cm to the nearest 0.05 cm. The length of the pipe is given as 2.00 m to the nearest 1 cm.
The volume of the pipe is calculated using the formula: \[ V = \pi r^2 h \] where is the radius (in cm) and is the length (in cm). Calculate the lower and upper bounds for the volume of the pipe, giving your answers to 3 significant figures.
Question 18
4 marks · Hard
Answer and see the solution →A stopwatch measures time in a sprint race as 12.4 seconds, correct to the nearest 0.1 second.
The distance of the race is measured as 100 metres, correct to the nearest metre.
Calculate the upper bound for the runner's average speed in m/s. Give your answer correct to 3 significant figures. (Speed = distance/time)