2010
Mon
26
Jul
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I, Neighbour

(14)
Posted at 10:08 pm by Miss Loi in E-Maths Questions

WARNING: Long rant ahead …

如有雷同纯属巧合
(but based on a true story)
Taxi Driver

I don't have a picture of me but I find this taxi driver resembles me the most

Hello, my name is John and I’m a taxi driver.

Contrary to common misperception, I am really nice and will go the extra mile to make your journey a pleasant one. For instance, I will always greet you when you board my cab and will help carry your luggage (if any). Hence there’s absolutely no chance that I will ever be attacked by a celebrity. As a professional, I also take safety very seriously. To demonstrate my commitment, I often make the extra effort to travel at 20 km/h below the expressway’s speed limit, regardless of the lane I’m on.

When I’m not being the nice and professional taxi driver on the road, I spend 100% of my free time at my spanking sparkling HDB flat. I really like my flat and I think it’s the best. In fact, I love it so much I’ve done two major renovations on it within this year. Admittedly the resulting noise can sometimes be a little loud. But I’m sure my understanding neighbours (along with their crying babies) will find this minor sacrifice well worth it when they share my joy in seeing the finished product, coz my flat is the best.

One day, however, the world collapsed around me when a little wet patch was spotted on my perfect kitchen ceiling above my perfect kitchen cabinet to ruin my latest perfect renovation job. Though I don’t ever recall seeing that area being wet before my renovation began (and since time immemorial), my contractor was adamant the fault lies with my neighbour living above. I know that my honest contractor always tells the truth, and therefore must be trusted. Moreover, my flat is the best so the fault must definitely lie elsewhere.

After calling my neighbour (whom I later found out to be a mathematics tutor) daily once every 2 hours, I managed to arrange for my contractor to visit her home, where I have no doubt the problematic spot will be found. And she would then have to rectify it, so that my renovation job remains perfect, and my flat shall continue to be the best.

To my surprise, they couldn’t find any leak on her kitchen floor. I cannot accept this. Most likely they didn’t check properly due to too many things placed there. It is not supposed to end this way because my flat is the best.

Undeterred, I called the HDB daily once every 2 hours to arrange for an inspector to visit her home, where I have no doubt the problematic spot will be found. And she would then have to rectify it, so that my renovation job remains perfect, and my flat shall continue to be the best.

To my surprise, the HDB inspector couldn’t find any leak on her kitchen floor. I cannot accept this. Most likely he didn’t check properly due to too many things placed there. It is not supposed to end this way because my flat is the best.

Undeterred, I called the HDB daily once every 2 hours to ensure they remind my neighbour daily once every 2 hours to arrange for another visit to perform a series of tests on her kitchen floor. I was told these tests will result in her being unable to use her kitchen taps for 3 days. But I’m sure she won’t mind this minor inconvenience one bit, especially when she sees the completed renovation on my flat, which will be the best.

This time though, the tests (whatever they were) concluded that there might be a leak in a hidden pipe beneath her kitchen floor (though the exact location remains a mystery). I am overjoyed. Justice has prevailed! She MUST now rectify it ASAP, or risk not being invited to my show off housewarming party after the renovation is completed on my flat, which is the best.

Unfortunately my neighbour is seldom home so it is difficult to fix a time to resolve this. I cannot understand this. How busy can a mathematics tutor be? How can helping students excel in their mathematics exams be more important than fixing the little wet patch on my kitchen ceiling?

To make things worse she suddenly went missing for a week. I heard from another neighbour that she went on a shopping trip to Japan. I cannot accept this. Staring forlornly at the wet patch for hours end with concurrent thoughts of her happily shopping away in Japan was an experience I would never wish upon anyone. This has affected my work and in turn exposed me to the risk of being attacked by a celebrity.

To cut this long blog post short, I finally managed to fix a time with her upon her return. But not before giving her a lecture on how to be a good neighbour, with an emphasis on her obligation to inform me the next time prior to going overseas. At the same time, I wanted to counsel her to be more prudent with her money, not to waste it on useless things like shoes and clothes (though I’ll secretly admit she looks really sexy in them) when they could have been spent on better things like renovation.

However, I decided to tell this to her on another day as it was obvious she wasn’t on a good mood that day (nothing to do with me though) …

Given that my uncooperative neighbour is only home for a limited time during working hours, the assigned contractor has arranged to fix the leak in 3 days with 3 workers working 2 hours per day.

At the end of the second day, unfortunately, one of the workers fell sick and there was no replacement. On average, how many more hours must each of the remaining men work for the remaining day in order to complete the job?

I immediately called my neighbour and asked her to solve the above problem for me but she said she was busy with her class before abruptly hanging up on me. Subsequent calls once every 2 hours were not picked up. I cannot accept this. How busy can a mathematics tutor be to the extent of not helping me solve a simple mathematical problem on demand? As such, I think she’s a really lousy mathematics tutor and I pity her students.

So if you’re reading this, can you help me solve the above problem so that I can inform that lousy mathematics tutor how much longer she is obliged to be at home for the work to be completed on the last day?

If you can do that, I may even invite you to my housewarming party when everything is done, where you can then have the rare privilege of admiring my flat, which will be the best of the best.



2010
Mon
12
Jul
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Greetings From [Fill in the blank]

(15)
Posted at 9:44 pm by Miss Loi in Study Break

After getting off the same flight as Dasmond Koh 许振荣 and Kym Ng 鐘琴 (WHAT a coincidence!) and consequently stalking them all the way to baggage claim, Miss Loi now stands before this famous icon.

The Statue of Liberty?

Famous icon

Maybe she’ll bump into Kym again when she goes shopping later.

No prizes for guessing where this is … hmmmm … maybe a prize ought to be given to the first reader to guess correctly Miss Loi’s current location.

Gone Shopping! Miss Loi is currently on a ‘quickie’ getaway from 12-16 July to ‘recharge her batteries’ in preparation for the looming promos/prelims/O Level exams fiesta.

For enquiries, please SMS or email missloi [at] exampaper [dot] com [dot] sg during this period and she will try to get back to you as soon as she can.

Apologies in advance for any inconvenience caused and she seeks your kind understanding if she’s a little slow in replying during this period.



2010
Mon
5
Jul
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The Occupational Hazards Of A Maths Tutor

(4)
Posted at 9:36 pm by Miss Loi in Miss Loi the Tutor

Miss Loi you must go to the hospital! Ask your boyfriend to send you to the hospital!

My Bloodied Toenail

Miss Loi you can't do pedicure anymore coz you've got no toenail!

At the risk of this potentially-NSFW photo freaking out all non-Biology students visiting this site for maths pointers, may Miss Loi’s bloodied and half-dangling toenail warn all deeply-engrossed tutors/teachers pacing about the classroom with your stylish open toe wedges to be mindful of those 伤人不咱眼 (injure without the blink of an eye) 的无影脚 lurking underneath those seemingly serene-looking desks, especially if your happen to have big-footed students with long restless legs.

And should that happen, chances are you (like the professional Miss Loi whom she is) will be the only one in the room trying to focus on the topic that’s being taught, amid the cacophony of EEEEEKS! EWWWWWW! EIYEEEEER! AHHHHHHHH!, even as the poor toe gets bigger and bigger due to the swelling.

There goes Miss Loi’s pedicure appointment tomorrow.

Time to contemplate life with −1 toenail *sobs*



2010
Tue
29
Jun
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The Importance Of Making An Appointment Before Visiting The Temple

(9)
Posted at 10:45 am by Miss Loi in E-Maths Questions

Continuing from the previous episode

They overturned every dustbin in the neighbourhood.

They harassed the MRT station staff, shopkeepers and students in the area.

They searched and scoured every corner of the district. (or so they thought)

But, despite sweeping through Novena like a Korean typhoon, Smiling 哥 and his ‘band of brothers’ were still none the wiser as to the location of the elusive Temple.

He was dead sure, though, it was in the vicinity – after he realized that his favourite Udders Ice Cream (and subsequently all shops in the area) possessed the same first three digits of that bogus postal code.

As fate would have it, a passing student was spotted holding a copy of Miss Loi’s exam papers (latest 2010 edition). And to cut the story short, a single scoop of Udders’ Rum Rum Raisin ice cream was intoxicating enough to quash what’s left of the student’s loyalty to The Maths Tutor :?

The forbidding 38 Steps to 'Salvation'

Thus before long, they arrived at the start of the 38 Steps, situated in the deepest and most ulu recess of the area, where a great sense of foreboding implored the party not to proceed further.

But there was no turning back now, and with great trepidation they took their first steps up the stairs, having no idea then of the horrors that were in store for them …

.

Ha ha ha ha ha …

A disembodied voice echoed chillingly through the stairway.

Suddenly one of the men let out shriek, before slumping to the ground muttering “log 0 … log 0 … ln 0 …”.

Mua ha ha ha ha ha …

Another one screamed hysterically, and stood frozen like a statue while crying “tan 90° … tan π/2 … tan 270° …”

Horrifying scenes reminiscent of Medusa’s Temple in Clash of the Titans ensued, as one by one his brave men fell, their weak PSLE-trained minds corrupted by sudden visions of mathematical expressions that would’ve induced “Math Error” messages in most MOE-approved calculators.

In the end, Smiling 哥 was the only man left standing before the Temple Gates, where he found himself firmly locked out.

Temple Fortification
Temple Fortification

You are not my student. You do not belong here at my Temple! Leave now before I turn you permanently into a Mathematical Constant!

Loi Loi! Let me in! I mean you no harm. My brothers need your help and salvation!

pleaded Smiling 哥 desperately.

LOI LOI IS FOR YOU TO CALL ONE MEH?!!!

thundered the voice *brief tremor*

But something about the 凄凉 way he pleaded moved her, and after a moment’s hesitation, the voice continued

The secret pin to unlock the Temple Gates is a very special four-digit number. If you subtract the five-digit number formed from adding a ‘3′ after it, from another five-digit number formed from adding a ‘3′ before it, you’ll get 3843.

Find this number and tell me why is it so special, and I *may* consider helping you.

Upon seeing his hapless look, the disembodied voice continued hauntingly

You look lost. Even my Sec One students will have no problem finding this number. Who ask you last time always skip math lessons? Huh? HUH?!

Seriously, you don’t really have much time left to tell me why is this number so special. Prepare to choose the symbol to represent yourself as a Mathematical Constant!

Mua ha ha ha ha ha ha …



2010
Tue
8
Jun
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The Last Massage

(15)
Posted at 10:16 pm by Miss Loi in E-Maths Questions
Klang Bak Kut Teh
Authentic Klang Bak Kut Teh
(N.B. pepper soup they are NOT)

Let’s spin a globe
Find a place to go
Travel the world
We’ll take it slow
We’ll be as one
Everywhere we go
Under the stars
Our hearts will grow
As we move on impulse~!!

Heeding the imploring appeal from a track on Ah Lian DJ Loi’s playlist, Miss Loi decided on a ‘quickie’ getaway last week, to give herself a break after five months of non-stop joss sticks sessions, before the June holidays come to hammer present her with yet more grueling joss sticks sessions till the end of the year.

The ’spin’ of the globe this time, however, brought her only as far as the neighbouring country to the north, and after stopping for a meal of bak kut teh at its spiritual home, she soon arrived at her final destination.

By The Sea
By the sea

A place by the sea …

Water's Edge
Living on the edge

A retreat for her senses …

Staring At The Sea
Staring at the sea … staring at the sand …

A place where she would find relaxation and escape from maddening students crowds …

Avillion Pool
Four’s already a crowd

And thus after dumping her luggage in her room, she wasted no time in heading straight for the spa beside her chalet to treat herself to a bit of holistic goodness and rejuvenate her body, mind and soul.

Avi Spa
The Spa

Opting for an 1-hour session of their signature massage using their top-of-the-line aromatherapy signature oil, she soon found herself lying prone on a soft, narrow bed high above the sea.

Before long, top-of-the-line signature essential oil was being applied on her bare back, gently flowing across her body in harmony with the soothing piped-in spa music, a teasing precursor of what was to come.

Water Beneath The Spa
Forgot to bring camera to spa
so this ‘blissful’ image will have to do

And then she was in spa heaven.

A chorus of gratitudes greeted her from every sore muscle in her svelte frame, as the masseur skillfully kneaded away the tight knots from back to front and head to toe.

For an hour, she was truly at one with her innermost senses. The worldly rigours of joss sticks sessions seemed so far away, and all that seemed to matter was the gentle strokes of the masseur and the sound of the waves slapping the stilts below. In fact, so tranquil was the experience that she even forgot (albeit temporarily) how to factorize quadratic equations and solve simultaneous equations with two unknowns.

Finished, Mdm.

It was over, all too soon.

Oh how she yearned for it to last just a little bit longer, to enjoy the feeling of being pampered once more – a sensation that would surely be but a distant fantasy when she returned to pamper coach her students at The Temple … and so …

Ooh your massage was heavenly! May I extend for another hour?

Thank you Mdm. Let me check with counter first. One moment please …

*dials phone*

[Translated from Bahasa Melayu]

Counter … counter … Room #123 wants to extend 1 hour. Boleh?

Nona, a Datuk is coming for massage later and our signature oil is running low.

You may extend your session but make sure you have at least 2 cm depth of oil left in your jar at the end of your session, because Datuk is XXXL size!

With that, the masseur Nona informed the eternally-grateful Miss Loi that her session had been extended, and proceeded to pour more oil on her back, carefully leaving just about 4 cm depth of oil in her conical jar ‘just to be safe’.

When Nona was finished with pouring the oil and placed the jar upright on the table, a sudden horrifying realization dawned upon her and she frantically dialed the phone again.

Counter! Counter! Your 2 cm depth of oil is measured from the tip or base of the jar?!

Alamak! Of course from the base lah! You goondu or what?!

Inverted oil jar

Diagram I

The conical jar has a diameter of 10 cm and a height of 8 cm and is currently left with a depth of 4 cm of oil when inverted, as shown in Diagram I.

    1. Find the volume of oil in the jar, in terms of π.
    2. Find the surface area of the jar that is in contact with the oil.
  1. When the jar is placed upright (see Diagram II), calculate the depth h of the oil in the jar.
Upright oil jar

Diagram II

Hence let Nona know if this is going to be her last massage at the spa.