Year 6 Conjecturing and generalising

problem

Favourite

Holes

Age

5 to 11

Challenge level

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

problem

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Doplication

Age

7 to 11

Challenge level

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

problem

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?

problem

Favourite

Round the Four Dice

Age

7 to 11

Challenge level

This activity involves rounding four-digit numbers to the nearest thousand.

problem

Favourite

Round the Three Dice

Age

7 to 11

Challenge level

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

problem

Favourite

Always, Sometimes or Never? Number

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?

problem

Favourite

Always, Sometimes or Never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?

problem

Favourite

Round and round the circle

Age

7 to 11

Challenge level

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.

problem

Favourite

Four Go

Age

7 to 11

Challenge level

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?