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Broad Topics >

Numbers and the Number System > Triangle numbers

##### Stage: 1 and 2 Challenge Level:

These alphabet bricks are painted in a special way. A is on one
brick, B on two bricks, and so on. How many bricks will be painted
by the time they have got to other letters of the alphabet?

##### Stage: 2 Challenge Level:

Sam sets up displays of cat food in his shop in triangular stacks.
If Felix buys some, then how can Sam arrange the remaining cans in
triangular stacks?

##### Stage: 2 Challenge Level:

Does a graph of the triangular numbers cross a graph of the six
times table? If so, where? Will a graph of the square numbers cross
the times table too?

##### Stage: 2 and 3 Challenge Level:

Sam displays cans in 3 triangular stacks. With the same number he
could make one large triangular stack or stack them all in a square
based pyramid. How many cans are there how were they arranged?

##### Stage: 2 Challenge Level:

Each light in this interactivity turns on according to a rule. What
happens when you enter different numbers? Can you find the smallest
number that lights up all four lights?