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problem
Shades of Fermat's Last Theorem
16 to 18
The familiar Pythagorean 3-4-5 triple gives one solution to (x-1)^n + x^n = (x+1)^n so what about other solutions for x an integer and n= 2, 3, 4 or 5?
problem
Summats Clear
16 to 18
Find the sum, f(n), of the first n terms of the sequence: 0, 1, 1, 2, 2, 3, 3........p, p, p +1, p + 1,..... Prove that f(a + b) - f(a - b) = ab.
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Number - Primary Students
These challenges will help your understanding of number and place value.
problem
Paper Curves
7 to 11
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.
problem
Clock Hands
7 to 11
This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.
problem
Taking a Die for a Walk
5 to 11
Investigate the numbers that come up on a die as you roll it in the
direction of north, south, east and west, without going over the
path it's already made.
problem
Favourite
Curve Fitter
14 to 18
This problem challenges you to find cubic equations which satisfy different conditions.