Combinations

  • Throw a 100
    problem

    Throw a 100

    Age
    7 to 11
    Challenge level
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    Can you score 100 by throwing rings on this board? Is there more than way to do it?
  • Magic triangle
    problem

    Magic Triangle

    Age
    7 to 11
    Challenge level
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    Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
  • Elf Suits
    problem

    Elf Suits

    Age
    7 to 11
    Challenge level
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    If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
  • Beads
    problem

    Beads

    Age
    7 to 11
    Challenge level
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    Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
  • Chocoholics
    problem

    Chocoholics

    Age
    7 to 11
    Challenge level
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    George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
  • Button-Up Some More
    problem

    Button-Up Some More

    Age
    7 to 11
    Challenge level
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    How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

  • Calcunos
    problem

    Calcunos

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    If we had 16 light bars which digital numbers could we make? How will you know you've found them all?
  • A glass bowl of cream-coloured ice cream.
    problem

    Ice Cream

    Age
    7 to 11
    Challenge level
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    In the café, your ice cream selection can't include a combination that someone else has chosen. What could these seven children have chosen?

  • A row of bungalows with triangular roofs.
    problem

    Penta Place

    Age
    7 to 11
    Challenge level
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    Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

  • On Target
    problem

    On Target

    Age
    7 to 11
    Challenge level
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    You have 5 darts and your target score is 44. How many different ways could you score 44?