Introducing algebra

  • Number Lines
    problem
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    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?

  • Heads and Feet
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    Heads and Feet

    Age
    5 to 7
    Challenge level
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    On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

  • Secret Number
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    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?

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    The Brown Family

    Age
    5 to 7
    Challenge level
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    Use the information about Sally and her brother to find out how many children there are in the Brown family.

  • Break it up!
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    Break It Up!

    Age
    5 to 11
    Challenge level
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    In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

  • Doplication
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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?

  • Super Shapes
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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
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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?

  • Trebling
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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?

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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?