Idaho
Society of Professional Engineers
PO Box 170239, Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org
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PO Box 170239, Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org |
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Idaho Society of Professional Engineers
• January 16, 2007 – ISPE Southwest Chapter Noon Meeting - 12:00 Noon - Washington Group International - Training Room • February 3, 2007 - Northern Chapter MATHCOUNTS Competition - Lewiston • February 5, 2007 – Deadline for submissions of 2007 ISPE Award Nominations • February 6 – 10, 2007 – Idaho Society of Professional Land Surveyors Conference - Coeur d' Alene Casino - Worley, Idaho • February 10, 2007 - Southeast Chapter MATHCOUNTS Competition – Pocatello • February 13, 2007 - Magic Valley Chapter MATHCOUNTS Competition – Twin Falls • February 13, 2007 - Northern Chapter MATHCOUNTS Competition – Coeur d’Alene • February 24, 2007 - Southwest Chapter MATHCOUNTS Competition - Boise • March 10, 2007 – State MATHCOUNTS Competition – Boise State University, Boise • March 22 & 23, 2007 – ISPE 2007 Annual Meeting – Oxford Suites, Boise • May 11, 2007 – National MATHCOUNTS Competition – Convention Center, Fort Worth, Texas VOLUNTEERS NEEDED!
CALL FOR ISPE AWARD NOMINATIONS
Entomology Entomology is the scientific study of insects. Jung, Tara and Pavan collected some insects for their science project. At the end of the first week of collecting Jung and Tara together had 26 insects, Tara and Pavan together had 18 insects, and Pavan and Jung together had 22 insects. How many insects did each person have alone? ________________________________________
The number of insects they had in their collection continuously changed throughout the second week as they worked to improve the quality and variety of the insects in their collection. They took some insects out and added other new insects. The difference between the maximum and minimum number of insects they had in their collection during the second week of collecting was 38. The mean of the maximum and minimum number of insects in the collection during the second week of collecting was 46. What was the maximum and minimum number of insects in the collection during the second week of collecting? ________________________________________
At the end of the third week of collecting they divided their collection of insects into 3 categories: winged, more than one color, and length less than one-half inch. 2 insects were winged, more than one color, and less than one-half inch long 7 insects (of various lengths) were winged and more than one color 6 insects (winged and non-winged) were more than one color and less than one-half inch long 5 insects (of single and multi-colorings) were winged and less than one-half inch long 12 insects were less than one-half inch long, non-winged, and only brown 9 insects were winged, more than one-half inch long, and only brown 14 insects were more than one color, more than one-half inch long, and non-winged 5 insects did not have any of the sorted characteristics How many insects were in their collection at the end of the third week of collecting?
Answer to last week’s MATHCOUNTS problem: Make a list to find the different combinations of coins Ramon could have.
There are 13 combinations of coins. Four of the combinations have an odd number of coins (5, 9, 13, and 17). The probability that Ramon has an odd number of coins is 4/13. ________________________________________ Sylvia can enter the stadium through any of the gates numbered from 1 through 7 and exit through any of the gates numbered from 1 through 7. There are 7 × 7 = 49 combinations to enter and exit the stadium. There are 3 even gates for Sylvia to enter the stadium and 4 odd gates for Sylvia to exit the stadium or 3 × 4 = 12 possible enter/exit combinations. The probability Sylvia enters the stadium through an even numbered gate and exits the stadium through an odd numbered gate is 12/49. ________________________________________
Make a list to find the different possible 4-digit numbers for Daniel’s locker.
There are 14 possible locker numbers and only 1 has the characteristic A < B < C < D. The probability Daniel’s locker number is a 4-digit square of a prime number ABCD such that A < B < C < D is 1/14.
Notice that it is not necessary to square each of the 2-digit prime numbers. All 2-digit prime numbers end in 1, 3, 7, or 9. The square of 2-digit prime numbers ending in 1 or 9 end in 1 and the square of 2-digit prime numbers ending in 3 or 7 end in 9. If A<B<C<D then D can’t be 1 and must be 9. Only seven 2-digit prime numbers need to be squared to see if the digits of the product are in ascending order.
If you want to see last week's problem again, click http://www.mathcounts.org/webarticles/anmviewer.asp?a=947&z=107
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National Engineers Week - Future City Competition
Board of Professional Engineers and Professional Land Surveyors
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