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“Maths is keeping me afloat!”

October22

HSCThe intellectual rigour of the most complex high school mathematics does not worry these students at Sydney Girls High School. All but a handful of the selective school’s Senior girl students sat the State mathematics test on Wednesday, along with more than 50,000 of their peers. They laugh when asked if they ever considered not choosing maths as one of their subjects.

Definitely not,” said one 17-year-old, who plans to study chemical engineering, “Maths is one of my best subjects. It’s keeping me afloat.”

I’m kind of a logical person who likes looking for the answers to things and I like the fact that there are definitive answers, rather than say English which is kind of subjective.”

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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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