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Resources tagged with Angles at a point/on a line similar to Weekly Problem 16 - 2007:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > 2D Geometry, Shape and Space > Angles at a point/on a line

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Right Time

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

At the time of writing the hour and minute hands of my clock are at right angles. How long will it be before they are at right angles again?

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Semi-regular Tessellations

Stage: 3 Challenge Level: Challenge Level:1

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

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On Time

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

On a clock the three hands - the second, minute and hour hands - are on the same axis. How often in a 24 hour day will the second hand be parallel to either of the two other hands?

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Tessellating Hexagons

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

Is it true that any convex hexagon will tessellate if it has a pair of opposite sides that are equal, and three adjacent angles that add up to 360 degrees?

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Which Solids Can We Make?

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

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Round and Round and Round

Stage: 3 Challenge Level: Challenge Level:1

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

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LOGO Challenge 1 - Star Square

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.

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LOGO Challenge 7 - More Stars and Squares

Stage: 3 and 4 Challenge Level: Challenge Level:1

Can you use LOGO to create a systematic reproduction of a basic design? An introduction to variables in a familiar setting.