Square numbers

  • Special 24
    problem

    Special 24

    Age
    7 to 11
    Challenge level
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    Find another number that is one short of a square number and when you double it and add 1, the result is also a square number.
  • Augustus' Age
    problem

    Augustus' Age

    Age
    7 to 11
    Challenge level
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    In 1871 a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age. Can you discover which year De Morgan was born in?
  • Fractions in a Box
    problem
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    Fractions in a Box

    Age
    7 to 11
    Challenge level
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    The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

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    One Wasn't Square

    Age
    7 to 11
    Challenge level
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    Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

  • problem
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    Two Primes Make One Square

    Age
    7 to 11
    Challenge level
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    Can you make square numbers by adding two prime numbers together?

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    Cycling Squares

    Age
    7 to 11
    Challenge level
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    Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

  • 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.
  • Picture a Pyramid ...
    problem

    Picture a Pyramid

    Age
    7 to 11
    Challenge level
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    Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

  • Light the Lights Again
    problem
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    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?

  • Seven Square Numbers
    problem

    Seven Square Numbers

    Age
    7 to 11
    Challenge level
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    Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.