Introducing algebra

  • What's X got to do with it?
    article

    What's X Got to Do With It?

    By following through the threads of algebraic thinking discussed in this article, we can ensure that children's mathematical experiences follow a continuous progression.

  • Doplication
    problem
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    Doplication

    Age
    7 to 11
    Challenge level
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    We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

  • Cat Food
    problem

    Cat Food

    Age
    7 to 11
    Challenge level
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    Sam sets up displays of cat food in his shop in triangular stacks. If Felix buys some, then how can Sam arrange the remaining cans in triangular stacks?
  • Super Shapes
    problem
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    Super Shapes

    Age
    7 to 11
    Challenge level
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    The value of the circle changes in each of the following problems. Can you discover its value in each problem?

  • Plenty of Pens
    problem
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    Plenty of Pens

    Age
    7 to 11
    Challenge level
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    Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

  • Sisters and Brothers
    problem

    Sisters and Brothers

    Age
    7 to 11
    Challenge level
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    Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues?
  • Gift Stacks
    problem

    Gift Stacks

    Age
    7 to 11
    Challenge level
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    Use the information to work out how many gifts there are in each pile.
  • Trebling
    problem
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    Trebling

    Age
    7 to 11
    Challenge level
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    Can you replace the letters with numbers? Is there only one solution in each case?

  • Cherry Buns
    problem

    Cherry Buns

    Age
    7 to 11
    Challenge level
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    Sam's grandmother has an old recipe for cherry buns. She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg?
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    Up and Down Staircases

    Age
    7 to 11
    Challenge level
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    One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?