Visualising and representing

  • problem
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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?

  • Multiples Grid
    problem
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    Multiples Grid

    Age
    7 to 11
    Challenge level
    2 out of 3

    What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

  • Table patterns go wild!
    problem
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    Table Patterns Go Wild!

    Age
    7 to 11
    Challenge level
    2 out of 3

    Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

  • A4 Fraction Addition
    problem
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    A4 Fraction Addition

    Age
    7 to 11
    Challenge level
    2 out of 3

    Try adding fractions using A4 paper.

  • Extending Fraction Bars
    problem
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    Extending Fraction Bars

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you compare these bars with each other and express their lengths as fractions of the black bar?

  • More Fraction Bars
    problem
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    More Fraction Bars

    Age
    7 to 11
    Challenge level
    2 out of 3

    What fraction of the black bar are the other bars? Have a go at this challenging task!

  • Different Deductions
    problem
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    Different Deductions

    Age
    7 to 11
    Challenge level
    2 out of 3

    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Digit Addition
    problem
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    Digit Addition

    Age
    7 to 11
    Challenge level
    2 out of 3

    Try out this number trick. What happens with different starting numbers? What do you notice?

  • House number 9.
    problem
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    Sometimes We Lose Things

    Age
    7 to 11
    Challenge level
    3 out of 3

    What would happen if we lost all the nines in our number system?

  • 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?