Working systematically

  • Sticky Numbers
    problem
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    Sticky numbers

    Age
    11 to 14
    Challenge level
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    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?
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    How steep is the slope?

    Age
    11 to 14
    Challenge level
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    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
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    Going round in circles

    Age
    11 to 14
    Challenge level
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    Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

  • Shifting Times Tables
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    Shifting times tables

    Age
    11 to 14
    Challenge level
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    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
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    What happens to the area and volume of 2D and 3D shapes when you enlarge them?

  • Sociable Cards
    problem
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    Sociable cards

    Age
    11 to 14
    Challenge level
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    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
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    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?
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    Can you make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

  • Shape Products
    problem
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    Shape products

    Age
    11 to 14
    Challenge level
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    These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

  • Number Pyramids
    problem
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    Number pyramids

    Age
    11 to 14
    Challenge level
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    Try entering different sets of numbers in the number pyramids. How does the total at the top change?