20251
Question
A {{vehicle1}} is facing {{direction}}.
{{image}}
If it rotates {{rotate}}, what direction will it be facing?
Worked Solution
Sketch {{rotate}} turn on a compass:
{{compass}}
∴ The {{vehicle2}} will face {{{correctAnswer}}}.
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Variant 0
DifficultyLevel
625
Question
A tank is facing south.
If it rotates 225° clockwise, what direction will it be facing?
Worked Solution
Sketch 225° clockwise turn on a compass:
∴ The tank will face North-east.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| vehicle1 | |
| direction | |
| image | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var1_q.svg 270 indent3 vpad |
| rotate | |
| compass | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var1_solution.svg 220 indent3 vpad |
| vehicle2 | |
| correctAnswer | |
Answers
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Variant 1
DifficultyLevel
625
Question
A tank is facing west.
If it rotates 225° anti-clockwise, what direction will it be facing?
Worked Solution
Sketch 225° anti-clockwise turn on a compass:
∴ The tank will face North-east.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| vehicle1 | |
| direction | |
| image |
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var2_q.svg 350 indent3 vpad |
| rotate | 225$\degree$ anti-clockwise |
| compass | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var2_solution.svg 260 indent3 vpad |
| vehicle2 | |
| correctAnswer | |
Answers
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
Variant 2
DifficultyLevel
625
Question
A robot vacuum cleaner is facing east.
If it rotates 225° anti-clockwise, what direction will it be facing?
Worked Solution
Sketch 225° anti-clockwise turn on a compass:
∴ The robot vacuum cleaner will face South-west.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| vehicle1 | |
| direction | |
| image | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var3_q.svg 250 indent3 vpad |
| rotate | 225$\degree$ anti-clockwise |
| compass | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var3_solution_r.svg 270 indent3 vpad |
| vehicle2 | |
| correctAnswer | |
Answers
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
Variant 3
DifficultyLevel
625
Question
A robot vacuum cleaner is facing west.
If it rotates 225° clockwise, what direction will it be facing?
Worked Solution
Sketch 225° clockwise turn on a compass:
∴ The robot vacuum cleaner will face South-east.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| vehicle1 | |
| direction | |
| image | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var4_q.svg 260 indent3 vpad |
| rotate | |
| compass | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var4_solution_r.svg 270 indent3 vpad |
| vehicle2 | |
| correctAnswer | |
Answers
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Variant 4
DifficultyLevel
625
Question
A tank is facing north.
If it rotates 225° anti-clockwise, what direction will it be facing?
Worked Solution
Sketch 225° anti-clockwise turn on a compass:
∴ The tank will face South-east.
Question Type
Multiple Choice (One Answer)
Variables
| Variable name | Variable value |
| vehicle1 | |
| direction | |
| image | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var5_q.svg 260 indent3 vpad |
| rotate | 225$\degree$ anti-clockwise |
| compass | sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/08/dQ49_var5_solution.svg 220 indent3 vpad |
| vehicle2 | |
| correctAnswer | |
Answers