AQA GCSE Maths
Topic questions Ratio, proportion and rates of change Scale factors, scale diagrams and maps
12 questions · 39 marks · about 45 minutes
A path joins points A, B, and C. The scale drawing shows the path on a centimetre grid.
Write down the direction of B from A.
Work out the actual distance along the path from A to C.
Here is a scale diagram showing towns A, B and C on a centimetre grid.
Work out the actual distance from B to C. Give your answer in kilometres.
B is South East of A.
Write down the bearing of B from A.
Here is a scale diagram showing towns A, B and C on a centimetre grid.
Work out the actual distance from B to C. Give your answer in kilometres.
B is South East of A.
Write down the bearing of B from A.
A map has a scale of 1: 4000 On the map, the distance from a station to a museum is 7 cm
Is the actual distance from the station to the museum more than 300 m? Tick a box.
Show working to support your answer.
A map has a scale of 1: 4000 On the map, the distance from a station to a museum is 7 cm
Is the actual distance from the station to the museum more than 300 m? Tick a box.
Show working to support your answer.
A map has a scale of 1: 20 000 Two churches are 15 cm apart on the map.
Work out the actual distance between them. Give your answer in kilometres.
Use a ruler and compasses in this question.
The scale diagram shows port P and lighthouse Q.
Scale: 1 cm represents 2 km
A ship is less than 14 km from P and closer to Q than to P.
Label the region, R, where the ship could be. Show all your construction lines.
Des delivers takeaways to houses A, B and C.
Des drives from T to A and back and from T to B, then B to C, then C to T.
Des is paid 40p for each mile he drives and £1.35 for each house he delivers to.
How much is Des paid in total for this work?
A map has a scale of 1: 5000 How many metres are represented by a length of 4.5 cm on the map?
This scale drawing of a bus has length 8 cm
The actual length of the bus is 3.8 times the actual length of a car. Work out the actual length of the car. Give your answer in metres, to the nearest centimetre.
A scale drawing shows the positions of P, Q and R.
On the scale drawing PQ = 4 cm QR = 6.5 cm The actual distance PQ is 50 metres less than the actual distance QR. Work out the scale.
Circle the ratio which is the same as the scale 1 cm represents 1 km
1: 100 1: 1000 1: 10 000 1: 100 000
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