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Thread: Math Puzzles

20080907, 10:09 #1
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Math Puzzles
 <LI>The repeating decimal 0.65141414… can be represented by the fraction c/d, where c and d are positive integers with no common factors greater than one. Find the sum of c and d.
<LI> The number 95 is listed in both sequence Blue and sequence Red. Find the next number that would also be in both sequence Blue and Red.
<UL><LI>Blue: 19, 95, 171, 247, 323, . . .
<LI>Red: 20, 45, 70, 95, 120, . . .
<LI>A given semicircle has a diameter of 8 inches (segment CD). Chord AB is half the length and parallel to diameter CD. Find the distance from the midpoint of chord AB to the midpoint of diameter CD.[/list]

20080908, 13:15 #2
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Re: Math Puzzles
1. <span style="backgroundcolor: #FFFF00; color: #FFFF00; fontweight: bold">16349</span hide>
2. <span style="backgroundcolor: #FFFF00; color: #FFFF00; fontweight: bold">1995</span hide>
3. <span style="backgroundcolor: #FFFF00; color: #FFFF00; fontweight: bold">13 mi</span hide>
4. <span style="backgroundcolor: #FFFF00; color: #FFFF00; fontweight: bold">4*sqrt(3)</span hide>

20080910, 03:22 #3
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Re: Math Puzzles
PiEater,
Thanks for playing. I'm, showing that you have Q1, Q2 and Q3 correct. I've got a different solution for Q4.
<img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>

20080910, 10:04 #4
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Re: Math Puzzles
For Q4 I get
<span style="backgroundcolor: #FFFF00; color: #FFFF00; fontweight: bold">2sqrt(3) or sqrt(12)</span hide>Regards
John

20080910, 15:28 #5
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Re: Math Puzzles
Absolutely correct. I was working off a radius of 8 instead of diameter of 8. That's what happens when you don't write it down on paper.