Being collaborative

  • problem

    How many times?

    Age
    7 to 11
    Challenge level
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    On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

  • problem

    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 Cartesian Puzzle
    problem

    A Cartesian puzzle

    Age
    7 to 11
    Challenge level
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    Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

  • Plenty of Pens
    problem

    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

    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.

  • A Puzzling Cube
    problem

    A puzzling cube

    Age
    7 to 11
    Challenge level
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    Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

  • Square Corners
    problem

    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?

  • problem

    Clocks

    Age
    7 to 11
    Challenge level
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    These clocks have been reflected in a mirror. What times do they say?

  • problem

    Which is quicker?

    Age
    7 to 11
    Challenge level
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    Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

  • Trebling
    problem

    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?