![Holes](/sites/default/files/styles/medium/public/thumbnails/content-id-6529-icon.gif?itok=fzVckv3X)
problem
Holes
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?
![Round the Four Dice](/sites/default/files/styles/medium/public/thumbnails/content-id-10426-icon.png?itok=84xTJDAX)
problem
Round the Four Dice
This activity involves rounding four-digit numbers to the nearest thousand.
![Round the Three Dice](/sites/default/files/styles/medium/public/thumbnails/content-id-10436-icon.png?itok=RxNjWI24)
problem
Round the Three Dice
What happens when you round these three-digit numbers to the nearest 100?
![The Moons of Vuvv](/sites/default/files/styles/medium/public/thumbnails/content-01-07-penta3-icon.gif?itok=xHgSC_ox)
problem
The Moons of Vuvv
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
![First Connect Three](/sites/default/files/styles/medium/public/thumbnails/content-id-5865-icon.png?itok=04WHK5zo)
problem
First Connect Three
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
![Treasure Hunt](/sites/default/files/styles/medium/public/thumbnails/content-id-6288-icon.jpg?itok=2AbCpMXX)
problem
Treasure Hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
![Domino sets](/sites/default/files/styles/medium/public/thumbnails/content-id-9965-icon.png?itok=KWnxHhoz)
![Round and round the circle](/sites/default/files/styles/medium/public/thumbnails/content-01-02-bbprob1-icon.gif?itok=HVb00dyR)
problem
Round and round the circle
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.
![Mystery Matrix](/sites/default/files/styles/medium/public/thumbnails/content-01-09-penta2-icon.png?itok=QvnkPfB_)
problem
Mystery Matrix
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
![Factor-Multiple Chains](/sites/default/files/styles/medium/public/thumbnails/content-id-5578-icon.png?itok=_LqJl9mK)
problem
Factor-Multiple Chains
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
![Four Go](/sites/default/files/styles/medium/public/thumbnails/content-id-5633-icon.png?itok=3yVpdfOW)
problem
Four Go
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?
![Doughnut percents](/sites/default/files/styles/medium/public/thumbnails/content-id-6945-icon.jpg?itok=KYyqyhQF)
problem
Doughnut percents
A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
![Counting Cogs](/sites/default/files/styles/medium/public/thumbnails/content-id-6966-icon.gif?itok=-yx-oxgg)
problem
Counting Cogs
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?