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?

  • 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?

  • 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?

  • 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.

  • problem
    Favourite

    A Mixed-Up Clock

    Age
    7 to 11
    Challenge level
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    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

  • Nine-Pin Triangles
    problem
    Favourite

    Nine-Pin Triangles

    Age
    7 to 11
    Challenge level
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    How many different triangles can you make on a circular pegboard that has nine pegs?

  • Brush Loads
    problem
    Favourite

    Brush Loads

    Age
    7 to 11
    Challenge level
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    How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.