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Fibonacci surprises
11 to 14
Play around with the Fibonacci sequence and discover some surprising results!
problem
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Maze 100
7 to 11
Can you go through this maze so that the numbers you pass add to exactly 100?
problem
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Doing and undoing
5 to 11
An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting.
problem
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Fibs
11 to 14
The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21....
How many Fibonacci sequences can you find containing the number 196
as one of the terms?
problem
Favourite
Cubestick
16 to 18
Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.
problem
Triangles within pentagons
14 to 16
Show that all pentagonal numbers are one third of a triangular number.
problem
Distance to the corner
14 to 16
Can you find the distance from the well to the fourth corner, given the distance from the well to the first three corners?
article
Can you find a perfect number?
Can you find any perfect numbers? Read this article to find out more...
problem
Crossover
11 to 14
The numbers 2 to 8 are to be placed in the diagram so that the row and column each adds to 21. Which numbers can replace x?