Wednesday, May 14, 2008

How NOT to lose marks in your LC exam

Question
How I lose marks ...
How I get them back.
Arithmetic ▼ Not giving answer in correct format. ▲ Recheck what was asked.

▼ Not handling percentages, percentage error and taxes properly. ▲ Practice all type of percentage questions
Algebra ▼ Failing to square an expression properly (x+y)² = x² + y² + 2xy ▲ Practice

▼ Getting sloppy towards the end of a simplification, mixing up signs, adding instead of multiplying.... ▲ Practice and be careful. Then, substitute test values to verify results.

▼ Failing to find corresponding y-values after solving for x, esp when one simultaneous equation is quadratic. ▲ Pay attention to steps of solution – always include the checking answers step.

▼ Not handling laws of indices properly ▲ Learn these – check them on your calculator! Make sure you can enter complicated indices on your calculator correctly.
Complex numbers ▼ Failing to set i² = -1 ▲ Practice.

▼ Not recognising symbols and their meanings: complex conjugate z-bar, modulus |2+3i| ▲ Go over chapter – it is quite self-contained.

▼ Not handling substitution properly w=2+3i, what is w² ▲ Look at past exam questions.

▼ Not knowing quadratic formula properly ▲ Write it down and check it every day.
Functions ▼ Not showing marks on graph or understanding how to use graph, ▲ Use a pencil and ruler to show how you interpret graph.

▼ Uneven scale on x- or y-axis ▲ Use graph paper, watch that all intervals are even, including 0 to 1, 1 to 2 etc.
Differentiation ▼ Not taking care applying rules for differentiation, or not knowing chain rule (it is not in tables) ▲ Learn it and practice.

▼ Leaving out LHS or Limit idea in first principles. ▲ Practice.
Perimeter, area & volume ▼ Not knowing simpson's rule inside out. ▲ Practice, especially with unknown heights etc.

▼ Not handling Π as requested. ▲ Re-check what you are asked.

▼ General errors applying formulae. ▲ Practice using tables for formulae, and sanity check your answers.
Co-ordinate geometry of line ▼ Not knowing formulae and how to apply them. ▲ As for quadratic formula, write them out each day – make sure you understand logic of slope, midpoint and distance formulae.

▼ Uneven scale on x- and y-axis (must be both to same scale) ▲ Use graph paper and check this.
Co-ordinate geometry of circle ▼ Not taking minus signs into account in formula for equation of circle (e.g. (x-2)² + (y+3)² = 8 means centre of circle is (2,-3) and radius = √8 ▲ Practice.

▼ Failing to understand geometry of circle (tangent at a point perpendicular to radius, tangents at opp end of diameter are parallel) ▲ Go over JC geometry if necessary.
Trigonometry ▼ Not knowing or correctly using Sin= 0pp/Hyp etc ▲ Learn mnemonic.

▼ Failing to “fill out” the sine rule/ cosine rule correctly. ▲ Practice.

▼ Being caught out by inverse sine of an angle that is >90º ▲ Be alert.

▼ Having calculator set to radians or not knowing how to use degrees/minutes function. ▲ Check it and practice.
Probability ▼ Not showing your work ▲ Can be difficult, but write something in case your answer is wrong.

▼ Failing to see that there are two ways a combined event can happen and adding probabilities of each. ▲ Use a sample space to check answers
Statistics ▼ Forgetting to divide by sum of frequencies ▲ Sanity check answers

▼ Not showing marks on graph (eg median from ogive) ▲ Indicate how you use graph clearly
Linear programming ▼ Not indicating half-plane when graphing inequalities ▲ Include it in your graph.

▼ Leaving out the “obvious” inequalities, x≥0 ▲ Make sure you give the number of inequalities you were asked for.

▼ Not using simultaneous equations to calculate point of intersection. ▲ You must not use your graph for this part.

▼ Not writing english sentence at the end ▲ Explain what x=10, y=7 means, 10 what, 7 what and why (“to maximise profit” or whatever).

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