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  1. https://www.littledayout.com/psle-math-how-should-students-tackle-difficult-questions-exam-nicklebee-tutors/ PSLE Math: Is It Really That Tough? How Should Students Tackle Difficult Questions In The Exam? Nearly every year, difficult PSLE Math questions spark a furore among students and parents. In 2019, the infamous semi-circle question left many students in tears. In 2021, it was a question about Henry, Ivan and their coins that stumped examinees and made its rounds on the internet. It seems that, in recent years, Math Olympiad-style questions have been appearing in PSLE Math papers with increasing frequency. However, the Ministry of Education maintains that the difficulty level of the PSLE has been kept consistent, with challenging questions capped at 15% yearly. One thing is clear: the PSLE Math paper is not going to get easier. Read More : https://www.littledayout.com/psle-math-how-should-students-tackle-difficult-questions-exam-nicklebee-tutors/
  2. I got this spreadsheet from a friend and was asked how to calculate the yield numbers. All are callable. I can calculate it as (100/40.85)^(1/(2050-2023)) -1 + 0.0 = 0.0337, which is more or less accurate. I believe the first item, one buys at 40.85 and get 100 at 05/15/2049 or until it's called, gets nothing in between. Number 4 I calculate it as (100/80.7)^(1/(2050-2023)) -1 + 0.0225 = 0.03047, which is 10% off. What is the formula? As for the trade, one pays $80.7, gets $2.25 each year, then get back $100 at 08/15/2049. Is the trade correct? PRODUCT CLOSING PRICE CLOSING YIELD CURRENT BID YIELD CURRENT BID PRICE/SIZE CURRENT ASK YIELD CURRENT ASK PRICE/SIZE MATURITY CALLABLE CUSIP MOODY'S S&P 1) United States Treasury 0.0 40.85 — 3.414% 40.2510 x $5,000K 3.376% 40.6520 x $5,000K 05/15/2049 — — — 2) United States Treasury 3.0 93.84 — 3.371% 93.5150 x $3,000K 3.360% 93.7000 x $5,000K 02/15/2049 — AAA — 3) United States Treasury 2.875 91.80 — 3.359% 91.4680 x $3,000K 3.348% 91.6540 x $5,000K 05/15/2049 — AAA — 4) United States Treasury 2.25 80.69 — 3.357% 80.3906 x $3,483K 3.343% 80.6060 x $5,000K 08/15/2049 — AAA — 5) United States Treasury 1.25 62.41 — 3.351% 62.1270 x $10,000K 3.336% 62.3260 x $10,000K 05/15/2050 — AAA — 6) United States Treasury 2.0 76.11 — 3.343% 75.8900 x $3,000K 3.333% 76.0430 x $5,000K 02/15/2050 — — — 7) United States Treasury 0.0 39.83 — 3.374% 39.3400 x $5,000K 3.332% 39.7960 x $5,000K 05/15/2050 — — —
  3. I'm starting a mathematics thread since there seem to be mathematics enthusiasts in here (myself included). Go ahead and post interesting and challenging questions. A box contains 100 balls numbered from 1 to 100. It 3 balls are selected at random and with replacement from the box, what is the probability that the sum of the 3 numbers on the balls selected from the box will be odd? Remember to time (max 2 mins) yourself because this was taken from a timed exam
  4. http://www.edvantage.com.sg/edvantage/news...questioned.html irony is that most of the docs i know math quite bad wanna sian also sian something more plausible lah. sibei c--k
  5. I bought an apple for 71 cents. Due to inflation, I'll be paying an additional of 2 cents more in a couple more months to go. How much increment am I paying in term of percentage? I was told that it was 1% but I worked out to be 2.8%. Correct me if I'm wrong. 71 cents + 2 cents = 73 cents 2.8% of 71 cents = 0.01988 cents, hence 71 cents + 0.01988 cents = 0.73 cents. (rounded up to 2 decimal pl) Where is the 1%? Or how do I get the 1%?
  6. Hi all, Assuming you are running a retail chain, your sales curve actually behaved similarly with the customer spending trend. However, despite the increase in sales and customer spending, your customer count actually declining or stay very flat. Also assume that cost of living and inflation rate remain unchanged. Political situation and state of economy also remain stable. One uncertainty is population count and rate of residential build-up at your operating areas. Do you think this is good or bad for the business? Thank you very much for your comment. Regards,
  7. I am looking for a good Mathematics tutor for 'O' levels around the East or Punggol. Any Recommendations?
  8. COST OF CAR OWNERSHIP IN SINGAPORE Many people embark on the quest for car ownership without realising the actual financial drain that they are placing upon themselves. Here are some of the factors that are part and parcel of car ownership. FACTORS Monthly Installment Conservative median average at $500/mth depending on loan duration. The monthly installment for a car loan is calculated via the following formula. {(Principal * Interest Rate * Loan Duration) + Principal} / Total No. of Months Insurance Conservative median average at $1,500/year or $125/mth. Road Tax/Radio License Approximately $700/year for 1500cc or $58/mth. Petrol Approximately $200/mth. Maintenance Approximately $60/mth on average over the lifespan of a car. Parking Season parking, parking at workplace/carparks. Approximately $200/mth. ERP Approximately $50/mth Incidents Conservative estimate of $100/mth over the lifespan of the car. Factoring for "accidents", upgrades, increased loading in insurance premium, etc. Total $500 + $125 + $58 + $200 + $60 + $200 + $50 + $100 = $1,293/mth for a 1,500cc car with a monthly installment of $500. **Incidentally, a $70,000 amount compounded at a conservative rate of 4% per annum over 30 years is $227,000. At 8 % per annum, amount grows to $704,000. CAR LOANS Rule of 78. Car loan redemptions in Singapore are calculated using the Rule of 78. It is a method of allocating a loan's interest & principal. The rule applies most of the installment payments in the early years of the loan to payment of interest rather than principal. At any point which you wish to redeem your loan, the remaining principal is the balance (outstanding settlement amount). This is only applicable for cars whose total cost is <$55,000 excluding COE. For cars over $55,000, it is subjected to another devious scheme known as Common Law. There is an additional surcharge of 20% of the interest that the bank did not manage to earn. There is an online calculator which can be used to calculate your full settlement at any point in time. http://www.hughchou.org/calc/rule78.cgi History. Rule of 78 was popular as a short-hand method for calculating the remaining interest on a loan in the days before financial calculators. In those early days, the rule of 78 was applied to all loans. Today it remains only for car loans. In other countries, like the US, the rule of 78 has been dropped. It is not permitted for car loans of more than 5 years and it is rarely used for loans less than 5 years. Cash rebates. Cash rebates are a promotional tool used by banks to overcome the 70%/80%/90% maximum loan cap. It offers you cash upfront at the expense of higher interest rate. GE money was at one time offering 12 months installment rebate at 6.XX% for 10 years. That's almost double your principal! Cash rebate also comes with a lock in period where you cannot sell your car or you are subject to a hefty penalty on top of usual charges. This poses a problem when you need to sell your car or in event of a total car loss. Should I pay more $ upfront or take a shorter loan? This is entirely dependent on your profile. I'll show a few illustrations. Case 1. A) $70,000 loan for 5 years ($1,328 monthly) B) 20% down & $56,000 loan for 7 years ($798 monthly) If you intend to sell after 4 years. A) Full settlement amount - $15,523 Total installments paid - $63,744 Total cost - $79,267 ($15,523 + $63,744) B) Full settlement amount - $26,669 Total installments paid including $14,000 downpayment - $52,304 Total cost - $78,973 ($26,669 + $52,304) If you intend to sell after 5 years. A) Full settlement amount - $0 Total installments paid - $79,625 Total cost - $79,625 B) Full settlement amount - $18,224 Total installments paid including $14,000 downpayment - $61,880 Total cost - $80,104 ($18,224+ $61,880) Case 2. A) $70,000 loan for 7 years ($997 monthly) B) 20% down & $56,000 loan for 10 years ($598 monthly) If you intend to sell after 4 years. A) Full settlement amount - $33,327 Total installments paid - $47,856 Total cost - $81,183 ($33,327 + $47,856) B) Full settlement amount - $37,351 Total installments paid including $14,000 downpayment - $48,704 Total cost - $80,055 ($37,351 + $48,704) If you intend to sell after 5 years. A) Full settlement amount - $22,772 Total installments paid - $59,820 Total cost - $82,592 ($22,772 + $59,820) B) Full settlement amount - $31,907 Total installments paid including $14,000 downpayment - $49,880 Total cost - $81,787 ($31,907 + $49,880) *We can see that the upfront of 20% helps during the first 4-5 years where a person usually sells their car. The savings costs is usually around $1,000. *However $14,000 compounded at 4% for 4 years translate to $16,378 or a gain of $2,378. *Even if its compounded at only 3% for 4 years, the gain is $1,757. Of course, situations differ on a case by case basis. It is always better to run your own numbers and determine which one suits you. It is always my opinion that a short term loan is better than a large down payment and a longer term loan. Always go for a short term loan. Your dealer makes less too. "Break even" is subjective. Its normally termed as the date which your car valuation is greater than your outstanding amount. In actual fact, you never break even. You always lose money on cars. The value of a car is simply based on the laws of supply and demand. If your car is still in demand, it'll fetch more than simply its paper + body value. Demand can be accrued to a few things. eg; make/model, market supply, year of manufacture, color, transmission type, etc... Cars that do not have a strong demand locally are exported. Certain countries have an age limit on the cars that can be imported in. In Singapore, cars that are less than 3 years of age can be imported in and sold. So in inverse, the number of countries that it can be exported to reduces as the age of the vehicle increases.
  9. What's the answer when you have a Honda Civic Type R FD2R and multiplied with some Mugen engineers?Well....Let me not take much of your brain-juices...... As of this morning at 0300hrs, the limited edition red Civic Mugen RR had arrived on our shores (PSA Wharves). Limited to ONLY 300 units, its not known where the other 299 units are though....Duh! http://www.autoblog.com/2007/06/28/officia...civic-mugen-rr/[/url] http://www.autoblog.com/2007/09/18/0-300-i...llout-in-japan/ [/url] P/S: Correct me if I'm wrong. Doesn't the front look amazingly similar to the UK CTR? I had a VERY close-up look and discovered this. Oh yes, the rear exhausts are twins on the sides unlike the single right side of the CTR. Wonder which PI is presenting the lucky guy this gem?
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