Problem 22 · 2023 Math Kangaroo
Stretch
Spatial & Visual Reasoning
transformationswork-backward
Else has two machines R and S. If she puts a square piece of paper into machine R it is rotated. If she puts the piece of paper into machine S a club symbol is printed on it. She wants to produce the picture shown. In which order does Else use the two machines so that she gets this picture?
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Answer: B — RSR
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Hint 1 of 2
Machine R rotates the square; machine S stamps the club symbol in a corner.
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Hint 2 of 2
Work backwards from the finished picture to decide the order of the three steps.
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Approach: track the corner mark through each machine to match the target
- Machine S prints the club in a fixed corner and machine R rotates the square.
- Following the corner mark through the three machines, the order that lands the club in the correct final corner is R, then S, then R.
- So Else uses the machines in order RSR.
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