Exploring and noticing

  • Making Longer, Making Shorter
    problem

    Making longer, making shorter

    Age
    5 to 7
    Challenge level
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    Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

  • Growing Garlic
    problem

    Growing garlic

    Age
    5 to 11
    Challenge level
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    Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

  • problem

    Factor-multiple chains

    Age
    7 to 11
    Challenge level
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    Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

  • What's in the Box?
    problem

    What's in the box?

    Age
    7 to 11
    Challenge level
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    This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

  • 100 Square Jigsaw
    problem

    100 square jigsaw

    Age
    5 to 7
    Challenge level
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    Can you complete this jigsaw of the 100 square?

  • Street Sequences
    problem

    Street sequences

    Age
    5 to 11
    Challenge level
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    Investigate what happens when you add house numbers along a street in different ways.

  • Sums of Pairs
    problem

    Sums of pairs

    Age
    11 to 16
    Challenge level
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    Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”
  • Magic Matrix
    problem

    Magic matrix

    Age
    7 to 11
    Challenge level
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    Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
  • Route to infinity
    problem

    Route to infinity

    Age
    11 to 14
    Challenge level
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    Can you describe this route to infinity? Where will the arrows take you next?