Being resilient

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
    2 out of 3

    If you move the tiles around, can you make squares with different coloured edges?

  • Shapely pairs
    problem
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    Shapely Pairs

    Age
    11 to 14
    Challenge level
    2 out of 3

    A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

  • Property chart
    problem
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    Property Chart

    Age
    11 to 14
    Challenge level
    2 out of 3

    A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

  • Squares in rectangles
    problem
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    Squares in Rectangles

    Age
    11 to 14
    Challenge level
    2 out of 3

    A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?

  • Factors and Multiples Puzzle
    problem
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    Factors and Multiples Puzzle

    Age
    11 to 14
    Challenge level
    2 out of 3

    Using your knowledge of the properties of numbers, can you fill all the squares on the board?

  • Weights
    problem
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    Weights

    Age
    11 to 14
    Challenge level
    2 out of 3

    Different combinations of the weights available allow you to make different totals. Which totals can you make?

  • The Tower of Hanoi - three wooden poles, with several coloured rings of decreasing sizes on the middle pole.
    problem
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    Tower of Hanoi

    Age
    11 to 14
    Challenge level
    2 out of 3

    The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

  • Quadrilaterals in a Square
    problem
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    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
    2 out of 3

    What's special about the area of quadrilaterals drawn in a square?

  • Overlaps
    problem
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    Overlaps

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you find ways to put numbers in the overlaps so the rings have equal totals?

  • Terminating or not
    problem
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    Terminating or Not

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?