Introducing algebra

  • problem

    Gran, how old are you?

    Age
    7 to 11
    Challenge level
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    When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?

  • Table patterns go wild!
    problem

    Table patterns go wild!

    Age
    7 to 11
    Challenge level
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    Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

  • Crossed Ends
    problem

    Crossed ends

    Age
    11 to 14
    Challenge level
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    Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
  • Weighing Scales
    problem

    Weighing scales

    Age
    14 to 16
    Challenge level
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    Can you work out how many spheres will balance a single pyramid?
  • Shape Times Shape
    problem

    Shape times shape

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

  • Two Number Lines
    problem

    Two number lines

    Age
    7 to 11
    Challenge level
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    Max and Mandy put their number lines together to make a graph. How far had each of them moved along and up from 0 to get the counter to the place marked?
  • Number Lines
    problem

    Number lines

    Age
    5 to 7
    Challenge level
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    Leah and Tom each have a number line. Can you work out where their counters will land?

  • Secret Number
    problem

    Secret number

    Age
    5 to 7
    Challenge level
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    Annie and Ben are playing a game with a calculator. What was Annie's secret number?