List

Year 6 Conjecturing and Generalising

Holes
problem
Favourite

Holes

Age
5 to 11
Challenge level
filled star empty star empty star

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?

Doplication
problem
Favourite

Doplication

Age
7 to 11
Challenge level
filled star empty star empty star
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?
Diagonally Square
problem

Diagonally Square

Age
7 to 11
Challenge level
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Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
Round the Four Dice
problem
Favourite

Round the Four Dice

Age
7 to 11
Challenge level
filled star empty star empty star
This activity involves rounding four-digit numbers to the nearest thousand.
Round the Three Dice
problem
Favourite

Round the Three Dice

Age
7 to 11
Challenge level
filled star empty star empty star

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

Name That Triangle!
problem
Favourite

Name That Triangle!

Age
7 to 11
Challenge level
filled star empty star empty star

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

Round and round the circle
problem
Favourite

Round and round the circle

Age
7 to 11
Challenge level
filled star filled star empty star

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.

Four Go
problem
Favourite

Four Go

Age
7 to 11
Challenge level
filled star filled star empty star
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?
Counting Cogs
problem
Favourite

Counting Cogs

Age
7 to 14
Challenge level
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Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Button-Up Some More
problem
Favourite

Button-Up Some More

Age
7 to 11
Challenge level
filled star filled star empty star

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

Number Lines in Disguise
problem
Favourite

Number Lines in Disguise

Age
7 to 14
Challenge level
filled star filled star empty star
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Making Spirals
problem
Favourite

Making Spirals

Age
7 to 11
Challenge level
filled star filled star filled star

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

Finding 3D Stacks
problem
Favourite

Finding 3D Stacks

Age
7 to 11
Challenge level
filled star filled star filled star

Can you find a way of counting the spheres in these arrangements?