On 05/06/2015 15:01, Tim Watts wrote:
GCSE's getting harder causes Paul Dacre's head to explode.
or
"Slightly hard" GCSE Maths Question causes outrage...
http://www.bbc.co.uk/news/education-33017299
The actual question was:
Hannah has 6 orange sweets and some yellow sweets.
Overall, she has n sweets.
The probability of her taking 2 orange sweets is 1/3.
Prove that: n^2-n-90=0
====
It's quadratic - and it factorises.
n^2-n-90=0
(n+9)(n-10) = 0
so n = 10
1st selection: = 6/10 probability of selecting an orange sweet (there
are 10 sweets overall, and 6 of them are orange)
2nd selection: = 5/9 probability of selecting an orange sweet (there are
now 9 sweets remaining and 5 of them are orange.
overall probability = 6/10 x 5/9 = 30/90 -- 1/3