Triangle numbers

  • A Square Deal
    problem

    A Square Deal

    Age
    7 to 11
    Challenge level
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    Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
  • Human Food
    problem

    Human Food

    Age
    7 to 14
    Challenge level
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    Sam displays cans in 3 triangular stacks. With the same number he could make one large triangular stack or stack them all in a square based pyramid. How many cans are there how were they arranged?
  • Satisfying Statements
    problem

    Satisfying Statements

    Age
    11 to 14
    Challenge level
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    Can you find any two-digit numbers that satisfy all of these statements?

  • Triangular Clock
    problem

    Triangular Clock

    Age
    11 to 14
    Challenge level
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    Trinni rearanges numbers on a clock face so each adjacent pair add up to a triangle number... What number did she put where 6 would usually be?

  • Forgotten Number
    problem

    Forgotten Number

    Age
    11 to 14
    Challenge level
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    I have forgotten the number of the combination of the lock on my briefcase. I did have a method for remembering it...

  • Triangles within Triangles
    problem

    Triangles Within Triangles

    Age
    14 to 16
    Challenge level
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    Can you find a rule which connects consecutive triangular numbers?

  • Triangles within Squares
    problem

    Triangles Within Squares

    Age
    14 to 16
    Challenge level
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    Can you find a rule which relates triangular numbers to square numbers?

  • Triangles within Pentagons
    problem

    Triangles Within Pentagons

    Age
    14 to 16
    Challenge level
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    Show that all pentagonal numbers are one third of a triangular number.

  • Speedy summations
    problem

    Speedy Summations

    Age
    16 to 18
    Challenge level
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    Watch the video to see how to add together an arithmetic sequence of numbers efficiently.

  • Clever Carl
    article

    Clever Carl

    What would you do if your teacher asked you add all the numbers from 1 to 100? Find out how Carl Gauss responded when he was asked to do just that.