Scale Drawings and Maps - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

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KS3 · Ratio, Proportion and Rates of Change

KS3.M-R6 Scale Drawings and Maps

AQA KS3.M-R6 · Calculators not allowed · about 60 minutes
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
State the real distance represented by 1 cm on a map with scale 1:50 000.
(1)
2
On a map with scale 1:25 000, what real distance does 4 cm represent? Give your answer in kilometres.
(1)
3
A town is 3.2 km from a station in real life. On a map with scale 1:10 000, calculate the map distance in centimetres.
(2)
4
A road measures 13 cm on a map and is 6.5 km in reality. Work out the map scale as a ratio in the form 1:n.
(2)
5
A path on a map measures 7.4 cm and in real life it is 1.85 km. Find the scale of the map in the form 1:n.
(2)
6
On a map with scale 1:40 000 the distance between two villages is 3.6 cm. Calculate the real distance in kilometres.
(2)
7
A map uses the statement 1 cm = 0.5 km. What is the real distance represented by 9 cm on this map? Give your answer in kilometres.
(1)
8
A distance on a map at scale 1:25 000 measures 120 mm. Calculate the real distance in kilometres.
(2)
9
A path is measured on a map as 17.6 cm at a scale of 1:25 000. The student estimates the measurement could be off by plus or minus 0.2 cm. Calculate the possible range of the real distance in kilometres.
(3)
10
A rectangular garden is 12 m by 8 m in reality. Drawn to scale 1:200, what are the lengths of the sides on the drawing in centimetres?
(2)
11
On a 1:20 000 map the distance between two shops is 2.75 cm. Give the real distance in metres.
(2)
12
Two towns are 18 km apart. On a map with scale 1:90 000 what is the distance between them on the map, in millimetres?
(2)
13
A site plan shows 8 cm corresponding to 100 m in reality. Write the scale of the plan in the form 1:n.
(2)
14
A hiker will walk 15 km. On a map with scale 1:50 000, how many centimetres long will the route be on the map? If the printed map sheet can show a maximum straight length of 20 cm, how many sheets are needed to show the whole route?
(3)
15
A scale drawing uses 1:500. A rectangle on the drawing has area 18 cm2. Calculate the real area in square metres.
(3)
16
A map shows two landmarks 3.8 cm apart. The scale statement is 1 cm = 750 m. Find the real distance in metres.
(2)
17
A cyclist plans a route that measures 27.5 cm on a map with scale 1:60 000. The cyclist will ride at an average speed of 15 km/h. Estimate the time to complete the route, giving your answer in minutes to the nearest minute.
(4)
18
A school's sports field is a right triangle with legs 90 m and 60 m. A student draws a plan at scale 1:250. Calculate the length of the hypotenuse on the drawing in centimetres, correct to one decimal place.
(4)
Mark scheme · KS3.M-R6 Scale Drawings and Maps

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18