Working systematically

  • Shifting Times Tables
    problem
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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?

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

  • Changing areas, changing perimeters
    problem
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    Changing Areas, Changing Perimeters

    Age
    11 to 14
    Challenge level
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    How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

  • Two white rectangles on a wooden background, arranged like an equals sign.
    problem
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    Can They Be Equal?

    Age
    11 to 14
    Challenge level
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    Can you find rectangles where the value of the area is the same as the value of the perimeter?

  • Summing Consecutive Numbers
    problem
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    Summing Consecutive Numbers

    Age
    11 to 14
    Challenge level
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    15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?