Thursday, May 14, 2009
Yes! Naka-Yahtzee ako!
As MOSTP 2009 draws to a close, the trainees had some fun during the second to the last day: an afternoon of fun with Yahtzee and Sudoku (yes, that's fun). Class pictures were also taken during this day.
Siyempre, hindi magpapatalo ang mga kumukuha ng Sudoku contest. Malapit na mag-time wala parin talagang nagpapasa ng papel. Hahaha.
Wednesday, May 13, 2009
[APAD] The Misadventures of Bobfred 4 (3-6)
Alfred, Bobfred, Carlfred, and Deanyfred challenged each other to an underwater breath-holding contest. Their times for the first round (in seconds) were as follows:
Alfred: 16
Bobfred: did not resurface
Carlfred: 25
Deanyfred: 30
The remaining challengers then had a second round and each of them held their breath for the same number of seconds (oh what a coincidence haha). The ratio between Alfred"s and Carlfred's total time is 4:5. What is the ratio between Carlfred's and Deanyfred's total time?
Ans. 9:10
Alfred: 16
Bobfred: did not resurface
Carlfred: 25
Deanyfred: 30
The remaining challengers then had a second round and each of them held their breath for the same number of seconds (oh what a coincidence haha). The ratio between Alfred"s and Carlfred's total time is 4:5. What is the ratio between Carlfred's and Deanyfred's total time?
Ans. 9:10
Tuesday, May 12, 2009
[APAD] Good Morning every.... zzzzz (3-6)
A speaker talked for sixty minutes in a full auditorium. Twenty percent of the audience heard the entire talk and ten percent slept through the entire talk. Half of the remainder heard one-third of the talk and the other half heard two-thirds of the talk. What was the average number of minutes of the talk heard by members of the audience?
Ans. 33 minutes
Ans. 33 minutes
Monday, May 11, 2009
[APAD] Time to get a "tan"! (HS 1-4)
For m>0, f(x) = mx. The acute angle a formed by the graphs of f and its inverse is such that tana = 5/12. Compute the sum of the slopes of f and its inverse.
Ans. 13/6
Ans. 13/6
Saturday, May 09, 2009
[APAD] The (Mis)adventures of Bobfred 3 (3-6)
OR MAYBE NOT. :))
After finding out that he will not encounter an accident this quiz, Bobfred was overjoyed that he jumped into a pool. Unfortunately, he did not realize that the pool was actually a holding tank for 25 electric eels. Right before he got electrocuted, he noticed that thrice as many black eels were brown, and twice as many gray eels were blue. He also noticed that not all brown eels are male. How many eels of each color were there?
Ans. 4 black, 12 brown, 3 gray, 6 blue
After finding out that he will not encounter an accident this quiz, Bobfred was overjoyed that he jumped into a pool. Unfortunately, he did not realize that the pool was actually a holding tank for 25 electric eels. Right before he got electrocuted, he noticed that thrice as many black eels were brown, and twice as many gray eels were blue. He also noticed that not all brown eels are male. How many eels of each color were there?
Ans. 4 black, 12 brown, 3 gray, 6 blue
Friday, May 08, 2009
[APAD] BOBFRED WILL NOT ENCOUNTER AN ACCIDENT! (3-6)
How many ways can I arrange all the words in the following sentence in a row, such that among the first and last words in the row, one begins with a vowel, while the other begins with a consonant:
BOBFRED WILL NOT ENCOUNTER AN ACCIDENT THIS QUIZ.
Ans. 21600
BOBFRED WILL NOT ENCOUNTER AN ACCIDENT THIS QUIZ.
Ans. 21600
Thursday, May 07, 2009
[APAD] The Math Teacher in His Prime (3-4)
A mathematics teacher noted that his present age is a prime number. He observed the next time his age would be a prime number was as far in the future as the previous age prime number age was in the past. How old is the mathematics teacher?
Ans. 53 years old. (The math teacher cannot be 5 years old.)
Ans. 53 years old. (The math teacher cannot be 5 years old.)
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