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