Being resourceful

  • Same Length Trains
    problem

    Same length trains

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

  • Cosy corner
    problem

    Cosy corner

    Age
    11 to 14
    Challenge level
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    Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

  • Two's company
    problem

    Two's company

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

  • Odds and Evens
    problem

    Odds and evens

    Age
    11 to 14
    Challenge level
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    Are these games fair? How can you tell?

  • Property chart
    problem

    Property chart

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    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?

  • Shapely pairs
    problem

    Shapely pairs

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    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...

  • Complete the Square
    problem

    Complete the square

    Age
    5 to 7
    Challenge level
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    Complete the squares - but be warned some are trickier than they look!

  • problem

    Three ball line up

    Age
    5 to 7
    Challenge level
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    Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

  • Diagonal Sums
    problem

    Diagonal sums

    Age
    7 to 14
    Challenge level
    filled star filled star empty star

    In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

  • Polar Flower
    problem

    Polar flower

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.