Being resourceful

  • Funny Factorisation
    problem
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    Funny Factorisation

    Age
    11 to 16
    Challenge level
    2 out of 3

    Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

  • problem
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    Marbles in a Box

    Age
    11 to 16
    Challenge level
    2 out of 3

    How many winning lines can you make in a three-dimensional version of noughts and crosses?

  • Product Sudoku
    problem
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    Product Sudoku

    Age
    11 to 16
    Challenge level
    2 out of 3

    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • A Connect Four game with red and yellow counters placed.
    problem
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    Connect Three

    Age
    11 to 16
    Challenge level
    2 out of 3

    In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

  • Searching for mean(ing)
    problem
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    Searching for Mean(ing)

    Age
    11 to 16
    Challenge level
    2 out of 3

    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

  • Cuboid challenge
    problem
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    Cuboid Challenge

    Age
    11 to 16
    Challenge level
    2 out of 3

    What's the largest volume of box you can make from a square of paper?

  • Wipeout
    problem
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    Wipeout

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you do a little mathematical detective work to figure out which number has been wiped out?

  • Triangle in a Trapezium
    problem
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    Triangle in a Trapezium

    Age
    11 to 16
    Challenge level
    2 out of 3

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

  • Pythagoras Proofs
    problem
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    Pythagoras Proofs

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you make sense of these three proofs of Pythagoras' Theorem?

  • Rhombus It
    problem
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    Rhombus It

    Age
    11 to 16
    Challenge level
    2 out of 3

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.