Working systematically

  • Half Time
    problem

    Half time

    Age
    5 to 11
    Challenge level
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    What could the half time scores have been in these Olympic hockey matches?

  • Can they be equal?
    problem

    Can they be equal?

    Age
    11 to 14
    Challenge level
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    Can you find rectangles where the value of the area is the same as the value of the perimeter?

  • Changing areas, changing perimeters
    problem

    Changing areas, changing perimeters

    Age
    11 to 14
    Challenge level
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    How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

  • Number Pyramids
    problem

    Number pyramids

    Age
    11 to 14
    Challenge level
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    Try entering different sets of numbers in the number pyramids. How does the total at the top change?

  • Crazy Cannons
    problem

    Crazy cannons

    Age
    16 to 18
    Challenge level
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    Two cannons are fired at one another and the cannonballs collide... what can you deduce?

  • Junior Frogs
    problem

    Junior frogs

    Age
    5 to 11
    Challenge level
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    Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
  • Order the changes
    problem

    Order the changes

    Age
    7 to 11
    Challenge level
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    Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
  • The right volume
    problem

    The right volume

    Age
    16 to 18
    Challenge level
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    Can you rotate a curve to make a volume of 1?

  • Max throw
    problem

    Max throw

    Age
    16 to 18
    Challenge level
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    At what angle should you throw something to maximise the distance it travels?

  • Seeing Squares
    problem

    Seeing squares

    Age
    5 to 11
    Challenge level
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    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 square.