(1) It is given that sq rt a - sq rt b = 20 where a
and b are real numbers.
Find the maximum possible
value of a - 5b
(2) The expression 1000 sin10 cos 20 cos 30 cos 40
can be simplified into
a sin b where a and b
are integers with 0 < b < 90. Find the value of
100a + b
(3) Without the use of a calculator,
evaluate
(sin 80) / (sin
20) - sq rt 3 / (2 sin 80)
(4) Without the use of a calculator,
evaluate
[ 25 + 10 x sq rt 5
]^(1/3) + [ 25 - 10 x sq rt 5 ]^(1/3)
(5) Let a = [ 1 + sq rt 2009 ] / 2.
Without the use of a
calculator, evaluate [ a^3 - 503a - 500 ] ^ 10.
These are the "easier questions" and good ''O" level add maths
students should be able to solve them.
Have fun in maths.
Thanks for sharing. Hope you don't mind if I give my 2 cents
about something minor.
If you meant for all the angles in your trigo ratios to be in
degrees (judging from 0<b<90), please state so explicitly in
the questions (with 'deg' or a sentence saying all angles in
degrees), otherwise they'll be assumed to be in radians. I used to
make my students write the little degree symbol on every single
angle throughout their working and I think it's a good habit
everyone should have (just like squiggling under every vector that
should be squiggled).
