Dear students and teachers,
I hope this will help our students to do well.
1. Conjecture or MI involving trigo.
2. Area of region by summing areas of rectangles and find the
limit as number of rectangles tends to infinity.
3. Sketch graphs of transformations, including f'(x). Be sure to
understand the meanings of increasing/decreasing function and
concave up/concave down.
4. Given a problem description, formulate and solve a DE.
5. Evaluate arbitrary vectors, or solve questions with a given
diagram.
6. Method of differences involving trigo and deduce an
inequality.
7. Rates of change (pure question or combined with DE).
8. Solve a system of equations involving complex numbers.
9. Hypothesis testing involving an unknown (e.g. population
mean, significance level, sample size). Explain the meaning of
p-value.
10. Probability involving Venn diagrams. Independence of and/or
mutually exclusive events.
11. Sketch scatter diagrams or regression lines in relation to
r.
12. Equations of tangents/normals (e.g. whether it intersects
curve again).
13. Formulate a recurrence relation or find its formula.
14. Sketch the graph of a rational function with unknowns.
15. Geometrical properties involving complex numbers. Loci
(involving an arbitrary complex number in a certain quadrant)
related to the finding of max/min moduli or intersections.
16. Solve an inequality (perhaps by a graphical approach),
followed by a suitable substitution to solve a similar
inequality.
17. P&C involving cards, letters.
18. Find volume of region bounded by lines and curves (to be
sketched) by substitution or other techniques (e.g. by parts).
19. Solve a system of linear equations.
20. AP/GP question involving patterns.
Thanks!
P.S. This is the second version. I will provide some concrete
examples in subsequent posts, so do look out for them! Thanks.
Cheers,
Wen Shih
Sir, any advices for me for the november maths
exams? 
Not worried about Calculus for my recent test but algebra was a
heartache. Couldn't solve this question until the tutor taught me a
secret technique:
A^2=0
Show that (I+2A) is invertible.
