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
Round the three dice
What happens when you round these three-digit numbers to the nearest 100?
Always, sometimes or never? Number
Are these statements always true, sometimes true or never true?
Always, sometimes or never? Shape
Are these statements always true, sometimes true or never true?
Name that triangle!
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
Doplication
Diagonally square
Treasure hunt
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
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
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
Counting cogs
Making spirals
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
Can you find a way of counting the spheres in these arrangements?