Being resourceful

  • Diagonal Sums
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    Diagonal Sums

    Age
    7 to 14
    Challenge level
    2 out of 3

    In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

  • Eight hidden squares
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    Eight Hidden Squares

    Age
    7 to 14
    Challenge level
    2 out of 3

    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

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    Doughnut Percents

    Age
    7 to 14
    Challenge level
    2 out of 3

    Can you make doughnuts by matching these fractions, decimals and percentages?

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    Counting Cogs

    Age
    7 to 14
    Challenge level
    2 out of 3

    Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

  • Method in multiplying madness?
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    Method in Multiplying Madness?

    Age
    7 to 14
    Challenge level
    2 out of 3

    Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

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    Three Neighbours

    Age
    7 to 14
    Challenge level
    2 out of 3

    Take three consecutive numbers and add them together. What do you notice?

  • Cubes within Cubes
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    Cubes Within Cubes

    Age
    7 to 14
    Challenge level
    3 out of 3

    We start with one yellow cube and build around it to make a 3×3×3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

  • Ten Hidden Squares
    problem
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    Ten Hidden Squares

    Age
    7 to 14
    Challenge level
    3 out of 3

    These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

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    Inky Cube

    Age
    7 to 14
    Challenge level
    3 out of 3

    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

  • Xavi's T-shirt
    problem
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    Xavi's T-Shirt

    Age
    7 to 16
    Challenge level
    1 out of 3

    How much can you read into a T-shirt?