A long time ago, a fresh inexperienced but sexy maths tutor accepted a tuition assignment in a rough neighbourhood.
She would then turn up every Thursday, without fail, at the door of her student’s one-room flat, located in one of those decrepit government-forsaken HDB estates which was somehow always overlooked for upgrading.
For the tattoo-laden Ah Beng who lived next door, it was literally love at first sight on that fateful day, when he was jolted awake by the loud techno music as the sexy tutor pulled her black car into the parking lot downstairs.
Taking his chopper and running out of his house to confront whoever that dared disturb his ‘beauty’ sleep, he shall forever remember that very moment, when his chopper fell to the floor, as he stood transfixed at those beautiful eyes …
that pair of smiling lips …
and that gorgeous dashing hairstyle …
of the tutor who surpassed the quality of every Japanese model he had stored in his computer.
And so in the months that followed, this love-stricken Ah Beng would cancel all his Thursday fights and debt-collecting appointments just to sneak a peek at her through the window panes. Words like Trigonometry, Statistics and Geometry were sweet music to his ears, as he would press them against the wall to hear her sweet voice throughout her tuition sessions. After awhile, he was even quietly confident he could score an O-Level Maths distinction and wondered how on earth could he have failed his PSLE in the first place.
And now the day has come for this 男子汉大丈夫 to take action. Tomorrow being Valentine’s Day, the Ah Beng decided to empty his POSB piggy bank and bravely buy her a diamond ring.
But to his dismay, just as he was about to pay for the diamond ring in his neighbourhood jewelry stall, he spotted the sexy maths tutor with an even bigger diamond ring on her finger!
With his newly-acquired mathematical powers obtained from months of eavesdropping on her lessons, he deduced that:
Her diamond and his diamond were geometrically similar and their surface areas were in the ratio 9:49 respectively.
- Find the ratio of the height of the diamonds.
- Given that his diamond costs $1000. Find the price of the tutor’s bigger diamond.
Assuming $1000 was all he had, calculate the minimum amount (correct to the nearest dollar) he needed to borrow from his loanshark boss in order to buy a bigger diamond ring for her.
IMPORTANT: In the world of Similar Figures, keywords like price, cost, capacity, mass etc. are ALL synonymous with VOLUME.
And though the Ah Beng may be now reasonably proficient in math but, like many unfortunate students, he may be intimidated by the lack of information in such problems and end up wasting time thinking of how to calculate the volume of a diamond – something that even the sexy maths tutor doesn’t know!
24 Comments
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I have no doubt that the ah beng will become smarter after his continued obsession with you.
Good work.. just by being there. haha..~
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If I were that Ah Beng I will just rob the the biggest jeweler store & take the biggest diamond available! Have a nice day!
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Ah HA! Thanks for supplying the story for my next machinima!
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wow like that also can ar... 😀
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Aaron: Will the Ah Beng join Club Blue today? That is the question.
HAM: If you get caught and then sentenced to 5 years' imprisonment plus 6 strokes to your primal backside then it'll be an EVEN BIGGER price to pay for loving a maths tutor.
FoxTwo: Do not, repeat DO NOT, use that stumpy-legged SLUT as Miss Loi again!
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Cendrine: Yalor really feel for the poor Ah Beng and his misguided infatuation.
Hmm ... no ones knows what's the price of love yet?
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Um, submit your statistics so I can get someone that matches your real body :p
Secondly, if I were the Ah Beng I early early give up leow... oredi got ring, why give another? Should give something else mah, like mebbe a car? A BMW maybe? hahahah!
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Such a sweet, yet sad story. Makes my inner romantic swoon a little.
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haha...that ah beng lame one leh~where got just buy diamond ring give girl den girl will fall in love with you one??
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Mintea - wait till you see the movie release of this story... akan datang!!!
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ps - sorry, Mintea made me do it!! :p
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Miss Loi ah,
This Ah Beng is a small shrimp, go for the lobster!
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Mintea: Will let the Ah Beng know about your swooning heee ...
Bypasser: Often, love is blind.
FoxTwo: Your movie exceeding planned budget liao?
ECL: In the movies, the 'lobster' is usually some evil scheming ugly old man with already many
slutswomen by his side!曜
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The movie's already done. Just can't seem to get it uploaded to Vimeo. Seems to have some probs. Been trying to upload it like 8 times and all failed at various points along the way.
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1) ratio of the diamonds is 3:7
2) eh tis question is a tad queer? volume ratio is 27/343 thus 343/27 x 1000 = 12703.7 thats kinda weird-.-" i DOUBT miss loi would wear a piece of metal with a rock tt cost that much >.>
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Ok smc, it's done.
The movie premiere of this blog entry
Disclaimer - since movies can't end in maths problems, be advised some artistic license was taken to provide an ending.
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Yes Kiroii, you're right!
Similar to the earlier ice-cream cones question, it is vitally important for students to stay awake and open their eyes to see what dimensions are the stated ratios pertaining to.
To re-cap:
Let lx and ly be the heights of the small and big diamond respectively. Note that l can also refer to length or width or any one-dimensional unit.
For Area:
Since the question states that 9:49 refers to the ratio of the area,
And as already mentioned, in the strange world of Similarities, the price IS the volume (not sure about this in the real world though :P)
So for volume:
From above you already have
So
Now Ah Beng's small diamond (Vx) costs $1000, which means
Miss Loi'sthe tutor's humongous diamond (Vy) costs:= $12704 (correct to the nearest dollar)!!!
Scary isn't it? But then that's only what the Ah Beng calculated with his new-found math skills ... once again things are always a bit different in the real world - Miss Loi's may be too 'calculative' to wear that ... but on the other hand, if it's free ... *drools*
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FoxTwo, wow Miss Loi will save a lot of time for parking if she can drift like that!
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It's just a simple handbrake parking... just go in screaming (I meant the speed of the car but if you want to accompany it with real screaming, go ahead), yank the handbrake, turn the wheel. You should be able to park just like in the video 🙂
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FYI, Miss Loi's car has no handbrake!
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haha. so is that a true story from your life or simply a made up one?
what prompted you to post this anyway?
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Anony: Just take it that Miss Loi has been watching too many Stephen Chow movies haha.
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'... a fresh inexperienced but sexy maths tutor ...'
'...as the sexy tutor pulled her black car into the parking lot downstairs...'
'...regular joss sticks sessions for the past 18 years...'
Given that the legal age for driving in SG is 18 years old, and assuming this is Miss Loi's first tuition assignment ('inexperienced'), and that as of this year she has 18 years of experience...
We can deduce that Miss Loi is at least 36 years old.
LOL! 🙂
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mathslover: What you've just hypothesised is "not in syllabus. No need to know! Wait u confused!!!"