finally a paper with a decent standard, unlike all the other
papers so far...
For the braking distance question, are you guys' answers
1500% ?
That one really screwed things around for me - I could not
figure out where to put the variables in the formula y = K(x), and
I badly messed everything up from there.
p.s. Regarding the triangle question mentioned earlier, for the
first part, you had to prove that angle ABC is a right angle. I
used Pythogaras' Theorem to prove it was a right-angle, by adding
the squares of the adjacient and opposite sides and them comparing
the square root of the result to the hypotenuse, which was equal.
Second part was the sneaky triangle question eagle mentioned -
since the triangle overall was a right-angled triangle, their
heights were the same, only the bases differing. I screwed up the
rest of the question, sadly.
And as for the prime factorisation question, first part wanted
you to find the prime factors, which I found using the number
triangle method. Second part was to find the smallest value of K,
if 1800K is a perfect cube. 1800 = 2^3 X 3^2 X 5^2 (if I remember
correctly), and to turn it into a perfect cube, I added another 3
and 5 to the factors, turning it into 2^3 X 3^3 X 5^3, which
resulted in the perfect cube 27000. Dividing 27000 with 1800 yields
15, which is also 3 X 5, so I wrote 15 as the answer. The third
part was about highest common factor of 42; I did a number triangle
with 42, came out 2 X 3 X 7. I then wrote the answer as 6, which is
2 X 3 (both of which are in the prime factorisations in 42 and
1800; not sure if I was right.
