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There is Pi in the Maths Sky!


Just when I thought I had seen everything I discovered a really good maths magazine, called Pi in the Sky, for growing more senior high school mathematicians. Check out this excellent resource from Alberta in Canada. Yes, you may be disappointed that they don’t use the metric system yet in their problems but, nevertheless, they offer some excellent and thought provoking insights. They also have the odd (yes, really odd) cartoons, like this one:

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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