Working systematically

  • Where to Land
    problem
    Favourite

    Where to Land

    Age
    14 to 16
    Challenge level
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    Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

  • Triangle in a Triangle
    problem
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    Triangle in a Triangle

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Can you work out the fraction of the original triangle that is covered by the inner triangle?

  • Nicely Similar
    problem
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    Nicely Similar

    Age
    14 to 16
    Challenge level
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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?

  • Matchless
    problem
    Favourite

    Matchless

    Age
    14 to 16
    Challenge level
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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?

  • Twin Line-Swapping Sudoku
    problem

    Twin Line-Swapping Sudoku

    Age
    14 to 16
    Challenge level
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    A pair of Sudoku puzzles that together lead to a complete solution.

  • Surprising Transformations
    problem
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    Surprising Transformations

    Age
    14 to 16
    Challenge level
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    I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

  • Partly Painted Cube
    problem
    Favourite

    Partly Painted Cube

    Age
    14 to 16
    Challenge level
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    Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

  • problem
    Favourite

    Simplifying Doughnut

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Can you match up these equivalent algebraic expressions?

  • Same Number!
    problem
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    Same Number!

    Age
    14 to 16
    Challenge level
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    If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

  • Mathsland National Lottery
    problem
    Favourite

    Mathsland National Lottery

    Age
    14 to 16
    Challenge level
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    Can you work out the probability of winning the Mathsland National Lottery?