Conjecturing and generalising

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Favourite

Division Rules

Age

7 to 11

Challenge level

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

Name That Triangle!

Age

7 to 11

Challenge level

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

Age

7 to 11

Challenge level

Does this 'trick' for calculating multiples of 11 always work? Why or why not?
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Favourite

Guess What?

Age

7 to 11

Challenge level

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

Age

7 to 11

Challenge level

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

Seeing Parallelograms

Age

7 to 11

Challenge level

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.
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Centred Squares

Age

7 to 11

Challenge level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
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Dice Stairs

Age

7 to 11

Challenge level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
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Roll over the Dice

Age

7 to 11

Challenge level

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?
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Counting Counters

Age

7 to 11

Challenge level

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?