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Generic Examples: Seeing Through the Particular to the General
Can one example help us to perceive the generality?
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problem
So It's Times!
7 to 14
How will you decide which way of flipping over and/or turning the grid will give you the highest total?
problem
Tri-Colour
11 to 14
Six points are arranged in space so that no three are collinear. How many line segments can be formed by joining the points in pairs?
problem
Centred
14 to 16
Weekly Problem 13 - 2012
The diagram shows contains some equal lengths. Can you work out one of the angles?
problem
Equal Lengths
11 to 14
Weekly Problem 29 - 2013
An equilateral triangle is drawn inside a rhombus, both with equal side lengths. What is one of the angles of the rhombus?
problem
Scoring With Dice
7 to 11
I throw three dice and get 5, 3 and 2. Add the scores on the three
dice. What do you get? Now multiply the scores. What do you notice?
problem
Magic W
14 to 16
Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.
problem
Favourite
Odd Stones
14 to 16
On a "move" a stone is removed from two of the circles and placed
in the third circle. Here are five of the ways that 27 stones could
be distributed.