Conjecturing and generalising

  • Round the Three Dice
    problem
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    Round the Three Dice

    Age
    7 to 11
    Challenge level
    1 out of 3

    What happens when you round these three-digit numbers to the nearest 100?

  • Round the Dice Decimals 1
    problem
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    Round the Dice Decimals 1

    Age
    7 to 11
    Challenge level
    1 out of 3

    Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

  • Multiply Multiples 3
    problem
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    Multiply Multiples 3

    Age
    7 to 11
    Challenge level
    1 out of 3

    Have a go at balancing this equation. Can you find different ways of doing it?

  • Division Rules
    problem
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    Division Rules

    Age
    7 to 11
    Challenge level
    1 out of 3

    This challenge encourages you to explore dividing a three-digit number by a single-digit number.

  • Name That Triangle!
    problem
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    Name That Triangle!

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

  • Guess What?
    problem
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    Guess What?

    Age
    7 to 11
    Challenge level
    1 out of 3

    Can you find out which 3D shape your partner has chosen before they work out your shape?

  • Diagonally Square
    problem
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    Diagonally Square

    Age
    7 to 11
    Challenge level
    1 out of 3

    Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

  • Seeing Parallelograms
    problem
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    Seeing Parallelograms

    Age
    7 to 11
    Challenge level
    1 out of 3

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

  • problem
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    Round and Round the Circle

    Age
    7 to 11
    Challenge level
    2 out of 3

    What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

  • Making Boxes
    problem
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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?