Search by Topic

Resources tagged with Triangle numbers similar to Factors and Multiples Puzzle:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 13 results

Broad Topics > Numbers and the Number System > Triangle numbers

problem icon

Factors and Multiples Puzzle

Stage: 3 Challenge Level: Challenge Level:1

A challenge that requires you to apply your knowledge of the properties of numbers. Can you fill all the squares on the board?

problem icon

Forgotten Number

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

I have forgotten the number of the combination of the lock on my briefcase. I did have a method for remembering it...

problem icon

Handshakes

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find an efficient method to work out how many handshakes there would be if hundreds of people met?

problem icon

Reasonable Algebra

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use algebra to reason why 16 and 32 are impossible to create as the sum of consecutive numbers.

problem icon

Man Food

Stage: 2 and 3 Challenge Level: Challenge Level:1

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?

problem icon

Mystic Rose

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.

problem icon

Picturing Triangle Numbers

Stage: 3 Challenge Level: Challenge Level:1

Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

problem icon

Sam Again

Stage: 3 Challenge Level: Challenge Level:1

Here is a collection of puzzles about Sam's shop sent in by club members. Perhaps you can make up more puzzles, find formulas or find general methods.

problem icon

Triangle Numbers

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?

problem icon

Iff

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Prove that if n is a triangular number then 8n+1 is a square number. Prove, conversely, that if 8n+1 is a square number then n is a triangular number.

problem icon

Take Ten Sticks

Stage: 4 Challenge Level: Challenge Level:1

Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?

problem icon

Route to Infinity

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you describe this route to infinity? Where will the arrows take you next?

problem icon

Slick Summing

Stage: 4 Challenge Level: Challenge Level:1

Watch the video to see how Charlie works out the sum. Can you adapt his method?