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Working with everyday numbers


SQnumbersOK. Here is a sign at a bus stop in Singapore. Can you work out the different types of numbers – any primes; any squared numbers, odds and evens, etc.? It still amazes H3 how many students use numbers like these each day, but never actually study them.

The mental gymnastics of number analysis is actually good for the mathematical stimulus of the brain!

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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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