Problem of the Week – June 8, 2010

Grade 1 to 3
#1 Question :
Sally has to be at school at 8:15 am. If it takes her 25 minutes to get ready, 10 minutes to eat breakfast, and 15 minutes to get to school, what time should Sally wake up in the morning to make sure she gets to school on time?

Grade 3 to 5
#2. Question
: Every Friday the students in Mrs. Hull class get a chance to win a homework pass using a spinner. The spinner contains the letters F, I, J, Q, S, and the numbers 2, 6, 9, 11, 15. To win a homework pass a student must spin either a vowel or a prime number. What is the probability of a student winning a homework pass each week?

6 – 8th Grade
#3 Question
: If two monkeys can eat two bananas in two minutes, how many monkeys will it take to eat 18 bananas in six minutes?

Algebra and Higher
#4 Question:
A square has a side length of 8″ . An isosceles right triangle with legs that are 8″ has its vertex at the center of the square. What is the area of overlap of the triangle and the square?

#1 Answer: 7:25 am
Note: We assume that the time that Sally should wake up gives her the minimum amount of time she needs to get ready.
#2. Answer: 3/10 or 30%
#3 Answer: 6 monkeys
Note: Since it takes two monkeys to eat two bananas in two minutes, it takes one money two minutes to eat one banana. So in six minutes one monkey can eat 3 bananas. That means it will take 6 monkeys to eat 18 bananas in six minutes.
#4 Answer: 16 inches2
Note: Because the vertex angle is a right angle at the center of the square the legs of the triangle iintersect adjacent corners of the square. This means the overlap is a fourth of the area of the square. 64 / 4 = 16.

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