Year 9 Explaining, convincing and proving

  • Triangle in a Trapezium
    problem
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    Triangle in a Trapezium

    Age
    11 to 16
    Challenge level

    Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

  • Generating Triples
    problem
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    Generating Triples

    Age
    14 to 16
    Challenge level

    Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?

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