5. On a map, a scale is used where 1 cm on the map represents 50 m in reality. (i) What is the ratio that is equivalent to this?


(ii) The distance between two shops on the map is 4·5 cm. What is the actual distance between the shops?


6. A scale on a map shows that 2·5 cm represents 15 km. What number of actual km are represented by 17·5 cm on the map?


7. The Ardmore Convention Centre is 4 cm away from the airport on a city map. The scale of the map is 1 cm = 11 km. In real life, what is the distance between the Ardmore Convention Centre and the airport?


8. A particular map shows a scale of 1 cm : 5 km. What would the map distance (in cm) be if the actual distance is 14 km?


9. Conor is using an internet tool to design his ideal skateboard park. The scale on the design is 1 : 150. Conor measures the drawing dimensions to be 10 cm by 13 cm. What size would his skateboard park be in real life? Give your answer in metres.


10. Mr O’Leary makes model cars. He wants to make a model of a car that is 3 m in length. He wants his model to be 15 cm long. What scale should he use to achieve this?


11. Eoin is considering working on his house. He has plans drawn up by an architect. The scale on the plans is 1 : 200. Eoin measures the length of the roof extension on the plan to be 2 cm, how long will it be in real life?


12. Emily is a civil engineer who designs tower blocks and residences. She needs to make a computer model to accompany her latest proposal. The actual tower blocks will measure 400 m high. She wants to use a scale of 1 : 2 000. How high will her model be in centimetres?


13. A map has a scale of 1 : 4 000. On the map, the distance between two houses is 9 cm. What is the actual distance between the houses? Give your answer in metres.


14. A rectangular swimming pool is 50 m long and 25 m wide. Draw a scale drawing of the base of swimming pool using a scale of 1 : 1 000.


15. The scale drawing of a tree is 1 : 500. If the height of the tree on paper is 20 cm, what is the height of the tree in real life?


16. Timmy drew a scale drawing of a house and its lot. The back patio, which is 10 m wide in real life, is 2 cm wide in the drawing. What scale did Timmy use?


17. Patsy drew a scale drawing of a school. In real life, the gym is 50 m wide. It is 10 cm wide in the drawing. What is the scale of the drawing?


18. The plan for a house is shown opposite. The measurements marked on the diagram are in metres and are dimensions of the actual rooms of the house. Draw a scale diagram of the actual plan for the house using an appropriate scale.


UTILITY ROOM 2 m × 3 m


KITCHEN 6 m × 5 m


BATHROOM 2 m × 3 m


BEDROOM 6 m × 3 m


LIVING ROOM 6 m × 7 m


ENSUITE 1 m × 4 m HALL 1 m × 4 m


BEDROOM 4 m × 4 m


166


Linking Thinking 1


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