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What do you notice about these families of recurring decimals?
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Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
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A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
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Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?
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Can you work out the fraction of the original triangle that is covered by the inner triangle?
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Can you find the area of a parallelogram defined by two vectors?
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The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
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Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
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If the hypotenuse (base) length is 100cm and if an extra line splits the base into 36cm and 64cm parts, what were the side lengths for the original right-angled triangle?
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There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value. Can you find that x, y pair?
