Math Problem Monday - Dec 18th, 2017 | Mathnasium Livermore, CA

Dec 18, 2017 | Livermore

Lower Elementary
Question: Molly began cleaning her room at 11:47 a.m. She finished cleaning her room at 3:21 p.m. How long did it take her to clean her room?
Answer: 3 hours 34 minutes
Note:  There are several ways to find elapsed time. Counting up each hour until 2:47 p.m. gives 3 hours. Then from 2:47 to 3:00 p.m. is 13 minutes and from 3:00 to 3:21 is 21 minutes. Together this gives 34 (13 + 21) minutes.

Upper Elementary
Question: Rick needs to replace the batteries in three identical flashlights. Each flashlight holds 4 batteries. If batteries come in packs of 6, how many packs does Rick need to buy in order to have 2 full packs left over after replacing the batteries?
Answer: 4 packs
Note: Assume Rick doesn’t have any batteries to start with. If each flashlight holds 4 batteries then the total amount of batteries needed is 3 flashlights x 4 batteries each = 12 batteries. If each pack holds 6 batteries then the total number of batteries needed to fill the flashlights is 12 batteries / 6 batteries per pack = 2 packs. In order to have two packs left over Rick has to buy 4 packs.

Middle School
Question: A palindrome is a number that is the same read from left to right and from right to left. The number 24442 is a palindrome. What is the 6th palindrome after 24442?
Answer: 25052
Note:  The next palindromes after 24442 are 24542, 24642, 24742, 24842, and 24942. The next palindrome has to be above 25000.  The sixth palindrome will be 25052.

Algebra and Up
Question: Boggsville is 35 miles due north of Morristown, Starr City is due east of Morristown, and Boggsville is 91 miles from Starr City. How far is Morristown from Starr City?
Answer: 84 miles
Note:  The cities form a right triangle with each other where Morristown is a the vertex of the right angle. One leg of the triangle is 35 miles and the hypotenuse is 91 miles. The other leg, the distance from Morristown to Starr City is unknown. Use the Pythagorean Theorem to solve.
352 + x2 = 912
1225 + x2 = 8281
x2 = 7056
x = 84

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