August 2003, Stage 1&2

Problems

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Transformations Tables

Stage: 2 Challenge Level: Challenge Level:1

These grids are filled according to some rules - can you complete them?

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Let Us Reflect

Stage: 2 Challenge Level: Challenge Level:1

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

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Transforming the Letters

Stage: 2 Challenge Level: Challenge Level:1

What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?

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Transformations on a Pegboard

Stage: 2 Challenge Level: Challenge Level:1

How would you move the bands on the pegboard to alter these shapes?

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Clocks

Stage: 2 Challenge Level: Challenge Level:1

These clocks have been reflected in a mirror. What times do they say?

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The Number Crunching Machine

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Put a number at the top of the machine and collect a number at the bottom. What do you get? Which numbers get back to themselves?