Square numbers

  • Odd Squares
    problem
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    Odd Squares

    Age
    7 to 11
    Challenge level
    1 out of 3

    Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

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    Up and Down Staircases

    Age
    7 to 11
    Challenge level
    1 out of 3

    One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

  • Making Boxes
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    Making Boxes

    Age
    7 to 11
    Challenge level
    2 out of 3

    Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

  • Fractions in a Box
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    Fractions in a Box

    Age
    7 to 11
    Challenge level
    2 out of 3

    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
    2 out of 3

    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.

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    Two Primes Make One Square

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you make square numbers by adding two prime numbers together?

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    Cycling Squares

    Age
    7 to 11
    Challenge level
    2 out of 3

    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?

  • Light the Lights Again
    problem
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    Light the Lights Again

    Age
    7 to 11
    Challenge level
    2 out of 3

    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?

  • Fitted
    problem
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    Fitted

    Age
    7 to 11
    Challenge level
    3 out of 3

    Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?