Visualising and representing

  • How do you see it?
    problem

    How do you see it?

    Age
    5 to 11
    Challenge level
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    Here are some short problems for you to try. Talk to your friends about how you work them out.

  • That number square
    problem

    That number square

    Age
    5 to 11
    Challenge level
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    Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

  • How would we count?
    problem

    How would we count?

    Age
    5 to 11
    Challenge level
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    An activity centred around observations of dots and how we visualise number arrangement patterns.

  • Trig reps
    problem

    Trig reps

    Age
    16 to 18
    Challenge level
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    Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?
  • Polar Bearings
    problem

    Polar bearings

    Age
    16 to 18
    Challenge level
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    What on earth are polar coordinates, and why would you want to use them?
  • Factorising with Multilink
    problem

    Factorising with multilink

    Age
    14 to 16
    Challenge level
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    Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

  • Always a multiple?
    problem

    Always a multiple?

    Age
    11 to 14
    Challenge level
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    Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

  • Maths Shop Window
    problem

    Maths shop window

    Age
    16 to 18
    Challenge level
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    Make a functional window display which will both satisfy the manager and make sense to the shoppers
  • Double Trouble
    problem

    Double trouble

    Age
    14 to 16
    Challenge level
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    Simple additions can lead to intriguing results...

  • Square subtraction
    problem

    Square subtraction

    Age
    7 to 11
    Challenge level
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    Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?