![Doplication](/sites/default/files/styles/medium/public/thumbnails/content-99-05-bbprob1-icon.jpg?itok=PZvWPlwd)
problem
Doplication
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](/sites/default/files/styles/medium/public/thumbnails/content-id-2822-icon.jpg?itok=g1aymINT)
problem
Diagonally Square
Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?
![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?
![Always, Sometimes or Never? Number](/sites/default/files/styles/medium/public/thumbnails/content-id-12672-icon.png?itok=UuM6k13s)
problem
Always, Sometimes or Never? Number
Are these statements always true, sometimes true or never true?
![Always, Sometimes or Never? Shape](/sites/default/files/styles/medium/public/thumbnails/content-id-12673-icon.png?itok=HQQCVqVU)
problem
Always, Sometimes or Never? Shape
Are these statements always true, sometimes true or never true?
![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.
![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?
![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?
![Button-Up Some More](/sites/default/files/styles/medium/public/thumbnails/content-id-7350-icon.jpg?itok=1e5Hi_3K)
problem
Button-Up Some More
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](/sites/default/files/styles/medium/public/thumbnails/content-id-13452-icon.jpg?itok=w1sVtOJy)
problem
Number Lines in Disguise
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
![Finding 3D Stacks](/sites/default/files/styles/medium/public/thumbnails/content-id-13273-icon.jpg?itok=sOTlaF7H)