2007
Sun
8
Apr

## Similarity - Ratios Fetish

(4)
Posted at 7:02 pm

It has been a holy weekend with an unholy schedule for Miss Loi. As this hectic weekend (thankfully) comes to an end, Miss Loi would like to leave you with a question on Similarity. Miss Loi's students will know that she has an unnatural fetish for these questions (triangles and all) as they sometimes tend to pop up uninvited and unannounced in Vectors area as well.

ABCD is a quadrilateral with AB parallel to DC. AC and BD meet at E where BE = 6 cm and DE = 9 cm.

1. Given than AC = 35 cm, find the length of AE.
2. Find the ratio of area of triangle BCE : area of triangle CDE.
3. Find the ratio of area of triangle ABE : area of triangle CDE.
4. Find the ratio of area of triangle BCE : area of triangle ADE.

Ok that's all for now while Miss Loi takes a sip of coffee and enjoys the brilliant sunset in front of her, contrary to what is being reported in her Ever-Reliable Apple Weather Widget *sigh!*

2007
Sat
7
Apr

## The Ever-Reliable Apple Weather Widget

(1)
Posted at 8:50 pm

Apple Weather Widget in Miss Loi's Mac (7 April ~3pm)

BKE looking like a road to Mordor (7 April ~3pm)

Made Miss Loi nearly late for her tuition today. Tsk tsk!

Disclaimer: Photo from car and widget screenshot taken by Miss Loi's passenger, as doing such things while driving is a punishable offence in Singapore, and er, probably anywhere else in the world.

2007
Thu
5
Apr

## Small Increments & Approximations - A Familiar-Looking Inverted Cone of Water

(9)
Posted at 7:07 pm

After thwarting the Persians with the three Spartans, Miss Loi will be busily lighting up many many joss sticks to 'celebrate' this long weekend!

To spice up your holidays, she will leave you with a commonly-asked question starring an enigmatic inverted cone of water that has been sighted many many times ...

The diagram shows a vertical cross-section of an inverted cone of height 10 cm and base radius 6 cm. Water is poured in to a height of x cm.

1. Show that the volume, V cm3, of water in the container is (3π/25)x3 cm3.
2. Find the approximate increase in V when x increases from 3 to 3.02 cm.

Next time, instead of daydreaming at the water dispensor, why not think about how familiar the little cone you're drinking from is going to be in your exam?

2007
Wed
4
Apr

## Numbers - The Three Spartans

(5)
Posted at 5:08 pm

Nevermind if you are too young to know who the Spartans were. But because they tend to appear (whether as Spartans or not) in your E-Maths Paper 1, so STUDENTS!!! PREPARE YOUR HOMEWORK!!!!!!!!!!!!!

To warn King Leonidas of the approaching Persian army, three Spartan scouts are assigned to send signals from three different posts at 0600 hours everyday. The first Spartan signals every 16 seconds, the second Spartan signals every 40 seconds and the third Spartan signals every 64 seconds.

Find the time, correct to the nearest minute, when the three Spartan scouts signal simultaneously.

HAROOH!!! HAROOH!!! HAROOH!!!

P.S. If thou art still stuck, do climb a mountain and seek the Oracle in the form of Miss Loi's wise old primary school teacher friend Mdm Lau Chio Min. But please be gentle to her and don't shout "HAROOH!!!" into her face.

2007
Mon
2
Apr

## JC or Poly or Just Peer Pressure?

(20)
Posted at 9:50 pm

EDIT: Updated the newspapers & mainstream media link with something more current. It's current affairs after all.

Now that the O-Levels are over, many of Miss Loi's (now ex-) students have been asking her the golden question: JC or Poly? Some potentially 'life-altering' factors being considered include:

"I thought JC more prestigious!?"
"But all of my friends are going to this JC/Poly!"
"I heard JC very stressed - I wonder if I can cope?"
"My father say die die must choose JC because Poly got no future!"
"Poly more relaxed and no need to wear uniform! Yeah!"
"My friend tell me this Poly/JC got more chiobus ... "

... and many other similarly 'grave' concerns were raised.

• ### Latest News

The completion of the Second Temple is nigh!

Just in time for the June Holiday Intensive Jφss Sticks tuition sessions to save EMaths, AMaths, Chemistry, Physics & Social Studies students who may be still reeling from their "满江红" mid-year exam results :\

Contact Miss Loi to confirm your salvation and rid yourself of the LMBFH Syndrome from the subject(s) of your choice this June holiday!

Subscribe to Miss Loi's 2012 Maths Exam Papers now, with a subscription period that lasts right up till 31 Dec 2013!

Suggested solutions & answers to selected Oct/Nov 2012 GCE 'A'/'O' Level Maths (EMaths, AMaths, H1, H2 Maths & Science (Physics, Chemistry, Combined Science) papers are out!

Check out them out here »

* Please refer to the relevant Ten-Year Series for the questions of these suggested solutions.

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Miss Loi is a full-time private tutor in Singapore specializing in O-Level Maths tuition. Her life's calling is to eradicate the terrifying LMBFH Syndrome off the face of this planet. For over 22 years she has been a savior to countless students ... [read more]

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Although I used to dislike maths as i never did well in that subject, Ms Loi helped me overcome that dislike and gave me lots of practice that made me more confident and eventually helped me do well in my O' levels ... [read more]

Jessica Aow
Ang Mo Kio Secondary School