Conjecturing and generalising

problem
Favourite

Sticky Triangles

Age

7 to 11

Challenge level

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?
problem

Lost BOOKS

Age

7 to 11

Challenge level

While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book?
problem
Favourite

Cut It Out

Age

7 to 11

Challenge level

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?
problem

Oddly

Age

7 to 11

Challenge level

Find the sum of all three-digit numbers each of whose digits is odd.
problem

Triangle Pin-down

Age

7 to 11

Challenge level

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
problem
Favourite

Board Block Challenge

Age

7 to 11

Challenge level

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
problem
Favourite

Finding 3D stacks

Age

7 to 11

Challenge level

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

Polygonals

Age

7 to 11

Challenge level

Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.
problem

Making Spirals

Age

7 to 11

Challenge level

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

Approaching Midnight: Get Started

Age

7 to 14

Like a bit of help getting into the game? Then have a look at this.