Edexcel IGCSE Maths
Topic questions Ratio, proportion and rates of change Scale factors, scale diagrams & maps
10 questions · 47 marks · about 1 hour
The scale drawing shows the positions of two towns, Harvel and Ebury.
Work out the real distance, in kilometres, between Harvel and Ebury.
On Saturday, Luisa cycles directly from Harvel to Ebury.
Luisa leaves Harvel at 12 50 She arrives at Ebury at 17 15
Work out the time Luisa takes to cycle directly from Harvel to Ebury.
The scale diagram shows the positions of a castle and a tower.
Angela walks from the castle to the tower along a straight path.
She takes 18 minutes to walk each km.
Work out how many minutes Angela takes to walk from the castle to the tower.
Also involves Measuring lengths and angles, bearings
Here is a scale drawing showing the positions of Paris and Bordeaux.
Alain drives from Paris to Bordeaux. The distance that he drives is 590 km.
This distance is greater than the actual straight line distance between Paris and Bordeaux.
How much greater? Show your working clearly.
The accurate scale drawing shows the positions of two lighthouses, S and T
Find, by measuring, the bearing of lighthouse T from lighthouse S
A boat is on a bearing of 084
from S The boat is 13 km from T
On the diagram, mark with a cross (X) the position of the boat. Label the cross B
The accurate scale drawing shows the position of a college C and a train station S
Find the bearing of S from C
For Charles, 1 step = 0.44 m
Work out the number of steps Charles walks as he goes in a straight line from the college to the train station. Give your answer correct to the nearest whole number of steps.
Also involves Converting between units · Ratio
The scale diagram shows the position on a map of a house, A
House C is on a bearing of 110° from A The distance from A to C is 700 m
Mark the position of C on the diagram with a cross (
) Label your cross C
Write the scale of the map in the form 1:n
The accurate scale diagram shows the map of an island drawn on a centimetre grid.
The position of Aaron’s house is A. The position of Bharat’s house is B.
Write down the coordinates of A.
By measurement, find the bearing of A from B.
Measure the length of the line AB. Give your answer in centimetres correct to one decimal place.
Aaron cycled along a straight path from his house to Bharat’s house. The scale of the map is 1 cm represents 5 km.
Work out the distance, in kilometres, that Aaron cycled.
Aaron left his house at 10 45 am and arrived at Bharat’s house at 1 05 pm.
How long did Aaron’s cycle ride take him? Give your answer in hours and minutes.
The accurate scale drawing shows the positions of two mobile phone masts, A and B.
The scale is 1 cm to 2.5 km.
Find the bearing of A from B.
Work out the actual distance, in km, between A and B.
A third mobile phone mast, C, is put up. C will be on a bearing of 115° from A. C will be 20 km from B.
Find the position of C.
Also involves Rounding
The scale drawing shows the positions of a ship, S, and a port, P.
Find the bearing of S from P.
The ship S now sails directly towards port P. The ship sails at an average speed of 24 km/h.
Work out how long it takes the ship to get to P. Give your answer correct to the nearest hour.
The accurate scale drawing shows the positions of two ships, L and M.
Find the bearing of ship M from ship L.
The scale of the drawing is 1 cm to 5 km.
Ship P is 40 km from L and on a bearing of 240° from M.
On the diagram, mark with a cross (×) the position of ship P.
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