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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