Angles, Triangles and Trigonometry - June 2007, Stage 1&2

Problems

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Turning

Stage: 1 Challenge Level: Challenge Level:1

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

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Matching Triangles

Stage: 1 Challenge Level: Challenge Level:1

Can you sort these triangles into three different families and explain how you did it?

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Inside Triangles

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

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How Safe Are You?

Stage: 2 Challenge Level: Challenge Level:1

How much do you have to turn these dials by in order to unlock the safes?

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Six Places to Visit

Stage: 2 Challenge Level: Challenge Level:1

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?

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Number the Sides

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

The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?

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Dotty Circle

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?