I dropped by Fairfax High after school yesterday to visit with the Varsity Math League. It was not a lively gathering of math enthusiasts, more like a library. A few dozen students were hunched over their desks, chewing on pencil erasers and puzzling over a timed test. Every couple of weeks, these students take a quiz. Their answers are sent to the county math department and compared with results from other high schools. The Varsity league recruits from students in Honors Algebra II or higher
The questions on yesterday's quiz stumped many of them.
See how you fare. Here is a sample:
1. Of the 1 million integers from 1 through 1 million, how many are neither squares nor cubes nor fourth powers of integers?
2. If sin(A + B) = 0.3 and sin(A - B) = 0.2, what is the value of the product (tan A)(cot B)?
3. The yearly salary increments received by a man equal the yearly salary increments received by his son. The man earned (yearly) twice as much as his son earned when the man earned what his son earns now. When the son earns what the man now earns, their combined salary will be $126,000. How many dollars does the man now earn?
***The third question is a candidate for the "most poorly worded word problem that I have ever seen" prize. If you can figure out what they are asking here, I will be doubly impressed.
Posted by: tomsing | February 20, 2009 1:00 PM | Report abuse
Posted by: tomsing | February 20, 2009 3:03 PM | Report abuse
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