Working systematically

  • Thinking Mathematically - Short Problems
    problem

    Solve me!

    Age
    16 to 18
    Challenge level
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    Can you use numerical methods to solve this equation to 1 decimal place?

  • Light the Lights Again
    problem

    Light the lights again

    Age
    7 to 11
    Challenge level
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    Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you work out the rule for each light?

  • Charlie's delightful machine
    problem

    Charlie's delightful machine

    Age
    11 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • What shape?
    problem

    What shape?

    Age
    7 to 14
    Challenge level
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    This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

  • Thirsty?
    problem

    Thirsty?

    Age
    5 to 7
    Challenge level
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    Can you lay out the pictures of the drinks in the way described by the clue cards?

  • problem

    Doughnut percents

    Age
    7 to 14
    Challenge level
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    Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?

  • Growing Rectangles
    problem

    Growing rectangles

    Age
    11 to 14
    Challenge level
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    What happens to the area and volume of 2D and 3D shapes when you enlarge them?

  • Partly Painted Cube
    problem

    Partly painted cube

    Age
    14 to 16
    Challenge level
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    Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

  • Jig Shapes
    problem

    Jig shapes

    Age
    5 to 11
    Challenge level
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    Can you each work out what shape you have part of on your card? What will the rest of it look like?

  • More and More Buckets
    problem

    More and more buckets

    Age
    7 to 11
    Challenge level
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    In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?