Working systematically

  • Unit Differences
    problem
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    Unit Differences

    Age
    5 to 7
    Challenge level
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    This challenge is about finding the difference between numbers which have the same tens digit.

  • Tables Teaser
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    Tables Teaser

    Age
    5 to 7
    Challenge level
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    How will you work out which numbers have been used to create this multiplication square?

  • Fruity Pairs
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    Fruity Pairs

    Age
    5 to 7
    Challenge level
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    Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

  • Are you well Balanced?
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    Are You Well Balanced?

    Age
    5 to 7
    Challenge level
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    Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

  • 6 Beads
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    6 Beads

    Age
    5 to 7
    Challenge level
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    If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

  • Multicoloured socks lying next to each other.
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    Mixed-Up Socks

    Age
    5 to 7
    Challenge level
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    Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

  • problem
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    Birthday Cakes

    Age
    5 to 7
    Challenge level
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    Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

  • 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?

  • Eggs in Baskets
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    Eggs in Baskets

    Age
    5 to 7
    Challenge level
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    There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

  • problem
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    Three Ball Line Up

    Age
    5 to 7
    Challenge level
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    Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.