Explaining, convincing and proving

  • Neighbourly Addition
    problem

    Neighbourly Addition

    Age
    7 to 14
    Challenge level
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    I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

  • 3 by 3 Mathdokus
    problem

    3 by 3 Mathdokus

    Age
    7 to 14
    Challenge level
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    Can you use the clues to complete these 3 by 3 Mathematical Sudokus?

  • problem

    Number Sandwiches

    Age
    7 to 14
    Challenge level
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    Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

  • So it's times!
    problem

    So It's Times!

    Age
    7 to 14
    Challenge level
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    How will you decide which way of flipping over and/or turning the grid will give you the highest total?

  • A colourful cube made from a plastic Polydron net.
    problem

    Air Nets

    Age
    7 to 18
    Challenge level
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    Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

  • 6 by 6 Mathdokus
    problem

    6 by 6 Mathdokus

    Age
    7 to 16
    Challenge level
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    Can you use the clues to complete these 6 by 6 Mathematical Sudokus?

  • Calendar Capers
    problem

    Calendar Capers

    Age
    11 to 14
    Challenge level
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    Choose any three by three square of dates on a calendar page...
  • Adding all nine
    problem

    Adding All Nine

    Age
    11 to 14
    Challenge level
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    Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!
  • Winning Team
    problem

    Winning Team

    Age
    11 to 14
    Challenge level
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    Nine cross country runners compete in a team competition in which there are three matches. If you were a judge how would you decide who would win?

  • Dicing with numbers
    problem

    Dicing With Numbers

    Age
    11 to 14
    Challenge level
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    In how many ways can you arrange three dice side by side on a surface so that the sum of the numbers on each of the four faces (top, bottom, front and back) is equal?