Working systematically

  • Growing Surprises
    problem
    Favourite

    Growing Surprises

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find the connections between linear and quadratic patterns?

  • Gabriel's Problem
    problem
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    Gabriel's Problem

    Age
    11 to 14
    Challenge level
    1 out of 3

    Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

  • Guess \my Quad
    problem
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    Guess My Quad

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many questions do you need to identify my quadrilateral?

  • Counting Factors
    problem
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    Counting Factors

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there an efficient way to work out how many factors a large number has?

  • Where can we visit?
    problem
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    Where Can We Visit?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?

  • 1 Step 2 Step
    problem
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    1 Step 2 Step

    Age
    11 to 14
    Challenge level
    2 out of 3

    Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

  • Farey Sequences
    problem
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    Farey Sequences

    Age
    11 to 14
    Challenge level
    2 out of 3

    There are lots of ideas to explore in these sequences of ordered fractions.

  • Peaches today, Peaches tomorrow...
    problem
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    Peaches Today, Peaches Tomorrow...

    Age
    11 to 14
    Challenge level
    2 out of 3

    A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

  • On the Edge
    problem
    Favourite

    On the Edge

    Age
    11 to 14
    Challenge level
    2 out of 3

    If you move the tiles around, can you make squares with different coloured edges?

  • Sending a Parcel
    problem
    Favourite

    Sending a Parcel

    Age
    11 to 14
    Challenge level
    2 out of 3

    What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?