Conjecturing and generalising

  • Roman Numerals
    problem

    Roman numerals

    Age
    7 to 11
    Challenge level
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    Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

  • Always, Sometimes or Never? KS1
    problem

    Always, sometimes or never? KS1

    Age
    5 to 7
    Challenge level
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    Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

  • Always, Sometimes or Never?
    problem

    Always, sometimes or never?

    Age
    5 to 11
    Challenge level
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    Are these statements relating to odd and even numbers always true, sometimes true or never true?

  • More Isometric Areas
    problem

    More isometric areas

    Age
    11 to 14
    Challenge level
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    Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

  • Isometric Areas
    problem

    Isometric areas

    Age
    11 to 14
    Challenge level
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    We usually use squares to measure area, but what if we use triangles instead?

  • Can you traverse it?
    problem

    Can you traverse it?

    Age
    14 to 18
    Challenge level
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    How can you decide if a graph is traversable?

  • Roll over the dice
    problem

    Roll over the dice

    Age
    7 to 11
    Challenge level
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    Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?
  • Dice Stairs
    problem

    Dice stairs

    Age
    7 to 11
    Challenge level
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    Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?