Working systematically

  • Overlaps
    problem
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    Overlaps

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you find ways to put numbers in the overlaps so the rings have equal totals?

  • Unequal Averages
    problem
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    Unequal Averages

    Age
    11 to 14
    Challenge level
    2 out of 3

    Play around with sets of five numbers and see what you can discover about different types of average...

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
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    Snappy Statements

    Age
    11 to 14
    Challenge level
    2 out of 3

    Use properties of numbers to work out whether you can satisfy all these statements at the same time.

  • Triangles to Tetrahedra
    problem
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    Triangles to Tetrahedra

    Age
    11 to 14
    Challenge level
    3 out of 3

    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

  • How Many Miles To Go?
    problem
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    How Many Miles to Go?

    Age
    11 to 14
    Challenge level
    3 out of 3

    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

  • Cuboids
    problem
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    Cuboids

    Age
    11 to 14
    Challenge level
    3 out of 3

    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

  • Efficient cutting
    problem
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    Efficient Cutting

    Age
    11 to 14
    Challenge level
    3 out of 3

    Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

  • Up and across
    problem
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    Up and Across

    Age
    11 to 14
    Challenge level
    3 out of 3

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • Consecutive negative numbers
    problem
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    Consecutive Negative Numbers

    Age
    11 to 14
    Challenge level
    3 out of 3

    Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

  • Cola can
    problem
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    Cola Can

    Age
    11 to 14
    Challenge level
    3 out of 3

    An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?