Math 9 · Unit 13: Position and transformation · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. A map has a scale of 1 cm to 8 km. How far in real life is 4.5 cm on the map?

   • 36 km
   • 12.5 km
   • 32 km
   • 3.6 km
   Check

2. 2. A map has a scale of 1 cm to 8 km. How long on the map is 18 km in real life?

   • 2.25 cm
   • 10 cm
   • 2.5 cm
   • 144 cm
   Check

3. 3. With a scale of 1 cm to 10 km, how long is the line for a ship sailing 60 km?

   • 600 cm
   • 0.6 cm
   • 6 cm
   • 60 cm
   Check

4. 4. With a scale of 1 cm to 10 km, how long is the line for a ship sailing 85 km?

   • 85 cm
   • 9 cm
   • 0.85 cm
   • 8.5 cm
   Check

5. 5. Maha walks 8 km on a bearing of 095°. With a scale of 1 cm to 2 km, how long is the line on the drawing?

   • 4 cm
   • 2 cm
   • 16 cm
   • 8 cm
   Check

6. 6. Luca walks 200 m and Fabia walks 300 m. With a scale of 1 cm to 100 m, how long are their lines on the drawing?

   • Luca 2 cm, Fabia 3 cm
   • Luca 0.5 cm, Fabia 0.3 cm
   • Luca 3 cm, Fabia 2 cm
   • Luca 20 cm, Fabia 30 cm
   Check

7. 7. Dom cycles 80 m on 085° and Keri 60 m on 145° from the same gate. Roughly how far apart are they at the end?

   • about 20 m
   • about 140 m
   • about 72 m
   • about 100 m
   Check

8. 8. A red jeep is 50 km east of a blue jeep. The red jeep travels on a bearing of 295°. The blue jeep travels on a bearing of 107°. Could the jeeps meet?

   • Yes
   • No
   Check

9. 9. Two lighthouses are 120 km apart. Lighthouse C is south of lighthouse B. A ship is on a bearing of 305° from lighthouse C and 210° from lighthouse B. The captain of the ship thinks he is closer to C than B. Is he correct?

   • Yes
   • No
   Check

10. 10. A ship sails 125 km on 080° then 85 km on 145°. Roughly how far must it sail to return to the harbour?

    • about 40 km
    • about 125 km
    • about 178 km
    • about 210 km
    Check

11. 11. A ship sails 125 km on 080° then 85 km on 145°. On roughly what bearing must it sail to return to the harbour?

    • about 260°
    • about 325°
    • about 286°
    • about 106°
    Check

12. 12. An aeroplane flies 240 km on 300°, then 120 km on 190°. Roughly how far must it fly to return to the airport?

    • about 229 km
    • about 120 km
    • about 360 km
    • about 268 km
    Check

13. 13. An aeroplane flies 240 km on 300°, then 120 km on 190°. On roughly what bearing must it fly to return to the airport?

    • about 120°
    • about 090°
    • about 010°
    • about 270°
    Check

14. 14. Greg walks 16 km on 095° then 14 km on 035°. Roughly how far must he walk to return to his car?

    • about 26 km
    • about 2 km
    • about 30 km
    • about 16 km
    Check

15. 15. Greg walks 16 km on 095° then 14 km on 035°. On roughly what bearing must he walk to return to his car?

    • about 275°
    • about 247°
    • about 215°
    • about 067°
    Check

16. 16. Li lives 10 km west of Chul. Li walks 8 km on a bearing of 137° to a farm. Chul walks to meet Li at the farm. Roughly how far, and on what bearing, does Chul walk?

    • about 7.4 km on a bearing of 038°
    • about 10 km on a bearing of 270°
    • about 7.4 km on a bearing of 218°
    • about 18 km on a bearing of 218°
    Check

17. 17. A lighthouse is 75 km east of a port. The captain of a ship knows he is on a bearing of 315° from the lighthouse. He also knows he is on a bearing of 052° from the port. How far is the ship from the lighthouse?

    • about 53.4 km
    • about 75 km
    • about 46.5 km
    • about 38 km
    Check

18. 18. A lighthouse is 75 km east of a port. The captain of a ship knows he is on a bearing of 315° from the lighthouse. He also knows he is on a bearing of 052° from the port. How far is the ship from the port?

    • about 53.4 km
    • about 62 km
    • about 75 km
    • about 46.5 km
    Check

19. 19. ABC is an equilateral triangle with A, B and C going clockwise. The bearing of B from A is 040°. What is the bearing of C from B?

    • 100°
    • 160°
    • 120°
    • 220°
    Check

20. 20. ABC is an equilateral triangle with A, B and C going clockwise. The bearing of B from A is 040°. What is the bearing of A from C?

    • 160°
    • 220°
    • 340°
    • 280°
    Check