1. © T Madas Botany Bay Amersham Northgate Poole Milling Collier Bay 1 cm = 2 km

2. © T Madas Botany Bay Amersham Northgate Poole Milling Collier Bay What is the direct distance from Northgate to Poole? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 cm = 2 km 1 cm = : : : 18 cm = 2 km : : : 36 km x18 x2x2 x2x2

3. © T Madas Botany Bay Amersham Northgate Poole Milling Collier Bay What is the direct distance from Collier Bay to Northgate? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 cm = 2 km 1 cm = : : : 6.5 cm = 2 km : : : 13 km x6.5 x2x2 x2x2

4. © T Madas Botany Bay Amersham Northgate Poole Milling Collier Bay What is the direct distance from Collier Bay to Botany Bay? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 cm = 2 km 1 cm = : : : 19.7 cm = 2 km : : : 39.4 km x19.7 x2x2 x2x2

5. © T Madas

6. The diagram opposite shows an architect’s floor plan for a bathroom. The scale of this plan is 1 : 32 Calculate the internal width and length of this bathroom [in m] 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3.2 m 1 : 32 1 cm = : : : 10 cm = 32 cm :::::: 320 cm x10 x32

7. © T Madas 3.52 m The diagram opposite shows an architect’s floor plan for a bathroom. The scale of this plan is 1 : 32 Calculate the internal width and length of this bathroom [in m] 3.2 m 1 : 32 1 cm = :::::: 11 cm = 32 cm :::::: 352 cm 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 x11 x32

8. © T Madas

9. The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms The scale of this plan is 1 : 40 Calculate the internal dimensions of the two rooms in metres 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 cm = :::::: 9.5 cm = 40 cm :::::: 380 cm x9.5 3.8 m x40

10. © T Madas The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms The scale of this plan is 1 : 40 Calculate the internal dimensions of the two rooms in metres 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3.8 m 1 cm = :::::: 7.2 cm = 40 cm :::::: 288 cm x7.2 2.88 m x40

11. © T Madas The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms The scale of this plan is 1 : 40 Calculate the internal dimensions of the two rooms in metres 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3.8 m 1 cm = :::::: 8.1 cm = 40 cm :::::: 324 cm x8.1 2.88 m 3.24 m x40

12. © T Madas The diagram opposite shows an architect’s floor plan for an office, consisting of 2 rooms The scale of this plan is 1 : 40 Calculate the internal dimensions of the two rooms in metres 3.8 m 1 cm = : : : 8.1 cm = 40 cm : : : 324 cm x8.1 2.88 m 3.24 m x40 3.8 m by 2.88 m 3.8 m by 3.24 m

13. © T Madas

14. 9 cm 13 cm ? The average height of a human adult male is 180 cm and this is shown below using the scale 1 : 20 Using the same scale, the tallest and the shortest man in the world are also drawn for comparison. 1. What is the actual height of the tallest man in the world? 2. If the actual height of the shortest man in the world is 70 cm what is his height in the drawing? averagetallestshortest Scale 1 : 20 drawing 1 1 cm 13 cm actual 20 20 cm 260 cm : : : : x13

15. © T Madas 9 cm 13 cm ? The average height of a human adult male is 180 cm and this is shown below using the scale 1 : 20 Using the same scale, the tallest and the shortest man in the world are also drawn for comparison. 1. What is the actual height of the tallest man in the world? 2. If the actual height of the shortest man in the world is 70 cm what is his height in the drawing? averagetallestshortest Scale 1 : 20 drawing 1 1 cm 2 cm 3 cm 4 cm actual 20 20 cm 40 cm 60 cm 80 cm : : : : : : 70 cm 3.5 cm

16. © T Madas