Mathematical Olympiad

1. Consider the polynomial f (x) = x² + ax + b , where a,b,c are real constants. If f (1) = 1 and f (2) = 2, what is the value of f (4) ?
2. Peter left home at 8 am to keep an appointment in Malacca 360 km away. If he drove at an average speed of V km/h, he would be a quarter hour later for his appointment. However, if he increased his average speed by 10 km/h, he would be a quarter hour early. What time is his appointment ?
3. Find the sum of the last two digits of 9¹⁰³
   
4. Suppose x and y are two real numbers such that x – y = 8 and x² + y² = 194 . Find the value of xy ?
5. If ‘a’ real number that satisfy a² < a
   

GOOD LUCK
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SMP is A Wonderful Time

SMP is a period that can not be forgotten. Especially when the class 9. We go through hard times and fun together. We struggle together to be able to success UAN 2010. Time grade 9 we can feel the beauty of togetherness. We also already familiar with our friends.

It is also what I felt when I was in Grade 9. I felt it was like a brother to my friends. I was already familiar with my friends. And also I already know exactly the nature of my friends. I also feel very togetherness. for example we go to the cafeteria together, joking in class, and so forth. Remember the togetherness that, I thought I was not willing to part with them. I want to always be together with them.

9 d

I Miss you friends
^^


For now, I think junior is a wonderful time. I have not felt the beauty of time together in high school. Because I do not know really friends in high school. someday it would also be felt in high school

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