GCSE · Ratio
Scale drawings and map scales (1 cm represents…, 1 : n)Exam-style questions
Turn a length on a map or scale drawing into a real length and back again: use a scale written as "1 cm represents 5 km", as a scale bar or as a ratio 1 : n, change the units inside a ratio scale, write any scale in the form 1 : n, follow a route instead of a straight line, measure and draw to scale, and scale an area by the square of the scale.
14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try
- 1A map has a scale of
On the map, the straight railway line between two stations measures mm.
A train takes minutes to travel between the two stations.
Work out the average speed of the train.
Give your answer in km/h.
(4 marks)Level 4 · 4 marksTry it - 2A nature reserve has an area of km².
The nature reserve is shown on a map with a scale of
Work out the area of the nature reserve on the map.
Give your answer in cm².
(3 marks)Level 4 · 3 marksTry it - 3A car park is a rectangle.
The car park has an area of m²
Joe draws a plan of the car park using a scale of
On the plan, the length of the car park is cm.
Work out the width of the car park on the plan.
(3 marks)Level 4 · 3 marksTry it - 4Rosa is going to walk along a coastal path from Fenby to Holt.
The diagram shows the path on a map. The path is made of three straight sections.Not to scale
On the map, the three sections measure cm, cm and cm.
The scale of the map is
Rosa walks at an average speed of km / h.
She leaves Fenby at 10.20 am. She wants to catch a bus that leaves Holt at 12.55 pm.
(a) Will Rosa reach Holt in time to catch the bus?
Show how you decide.
(5 marks)
(b) Give one reason why Rosa might take longer than your calculation in part (a) suggests.
(1 mark)Level 4 · 6 marksTry it - 5On a map, a length of 4 cm represents an actual distance of 10 km. Write the scale of the map as a ratio in the form 1 : n.Level 4 · 3 marksTry it
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