Working systematically

  • Keep it simple
    problem
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    Keep It Simple

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can all unit fractions be written as the sum of two unit fractions?

  • A glue stick with the lid off.
    problem
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    Sticky Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

  • How steep is the slope?
    problem
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    How Steep Is the Slope?

    Age
    11 to 14
    Challenge level
    1 out of 3

    On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

  • Going round in circles
    problem
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    Going Round in Circles

    Age
    11 to 14
    Challenge level
    1 out of 3

    Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

  • Shifting Times Tables
    problem
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    Shifting Times Tables

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find a way to identify times tables after they have been shifted up or down?

  • Growing Rectangles
    problem
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    Growing Rectangles

    Age
    11 to 14
    Challenge level
    1 out of 3

    What happens to the area and volume of 2D and 3D shapes when you enlarge them?

  • A ring of Jacks, Queens and Kings on a green table.
    problem
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    Sociable Cards

    Age
    11 to 14
    Challenge level
    1 out of 3

    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • At least one...
    problem
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    At Least One...

    Age
    11 to 14
    Challenge level
    1 out of 3

    Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

  • Can you Make 100?
    problem
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    Can You Make 100?

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Number Pyramids
    problem
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    Number Pyramids

    Age
    11 to 14
    Challenge level
    1 out of 3

    Try entering different sets of numbers in the number pyramids. How does the total at the top change?