Visualising and representing

  • Knight's Swap
    problem

    Knight's Swap

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
  • Midpoint Triangle
    problem

    Midpoint Triangle

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Can you cut up a square in the way shown and make the pieces into a triangle?
  • Super Shapes
    problem
    Favourite

    Super Shapes

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

    The value of the circle changes in each of the following problems. Can you discover its value in each problem?

  • A Flying Holiday
    problem

    A Flying Holiday

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.
  • Plenty of Pens
    problem
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    Plenty of Pens

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

    Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

  • Trebling
    problem
    Favourite

    Trebling

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

    Can you replace the letters with numbers? Is there only one solution in each case?

  • The Deca Tree
    problem
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    The Deca Tree

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

    Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

  • Colour Wheels
    problem

    Colour Wheels

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

    Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

  • Odd Squares
    problem
    Favourite

    Odd Squares

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

    Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

  • Paw Prints
    problem

    Paw Prints

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?