Triangle numbers
-
problemComplete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65. -
problemHuman Food
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? -
problemSatisfying Statements
Can you find any two-digit numbers that satisfy all of these statements?
-
problemTriangular Clock
Trinni rearanges numbers on a clock face so each adjacent pair add up to a triangle number... What number did she put where 6 would usually be?
-
problemForgotten Number
I have forgotten the number of the combination of the lock on my briefcase. I did have a method for remembering it...
-
problemTriangles Within Triangles
Can you find a rule which connects consecutive triangular numbers?
-
problemTriangles Within Squares
Can you find a rule which relates triangular numbers to square numbers?
-
problemTriangles Within Pentagons
Show that all pentagonal numbers are one third of a triangular number.
-
problemSpeedy Summations
Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
-
articleClever Carl
What would you do if your teacher asked you add all the numbers from 1 to 100? Find out how Carl Gauss responded when he was asked to do just that.