Working systematically

  • problem
    Favourite

    The Moons of Vuvv

    Age
    7 to 11
    Challenge level
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    The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

  • A Shapely Network
    problem

    A Shapely Network

    Age
    7 to 11
    Challenge level
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    Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.
  • Plenty of Pens
    problem
    Favourite

    Plenty of Pens

    Age
    7 to 11
    Challenge level
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    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?

  • problem
    Favourite

    Multiplication Squares

    Age
    7 to 11
    Challenge level
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    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

  • Square Corners
    problem
    Favourite

    Square Corners

    Age
    7 to 11
    Challenge level
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    What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

  • 1 to 8
    problem

    1 to 8

    Age
    7 to 11
    Challenge level
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    Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

  • Trebling
    problem
    Favourite

    Trebling

    Age
    7 to 11
    Challenge level
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    Can you replace the letters with numbers? Is there only one solution in each case?

  • A Square of Numbers
    problem
    Favourite

    A Square of Numbers

    Age
    7 to 11
    Challenge level
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    Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

  • Chocs, Mints, Jellies
    problem

    Chocs, Mints, Jellies

    Age
    7 to 11
    Challenge level
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    In a bowl there are 4 Chocolates, 3 Jellies and 5 Mints. Find a way to share the sweets between the three children so they each get the kind they like. Is there more than one way to do it?
  • Fractional Triangles
    problem
    Favourite

    Fractional Triangles

    Age
    7 to 11
    Challenge level
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    Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.