Rewards for Problems of the week:
5 points for the correct answer at your level; 10 points for the next level; 20 points each for 2+ levels up.
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 Lower Elementary:
Question: Anthony sails 9,500 miles from Turkey to Peru. If Anthony takes the same route back to Turkey from Peru, how far will he have sailed in total?
Answer: 19,000 miles
Solution: Anthony’s route from Turkey to Peru and back again is 9,500 + 9,500 = 19,000 miles in total. Remember to carry the 1 in the thousands place!
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 Upper Elementary:
Question: Nellie puts a batch of pies into the oven at 6:17 AM. When they go into the oven, the internal temperature of the pies is 60° Fahrenheit. The temperature increases at a rate of 2.5° per minute. If Nellie wants the internal temperature of the pies to reach 160°, at what time should she take them out of the oven?
Answer: 6:57 AM
Solution: In order to increase to 160°, the internal temperature of the pies will need to rise 160° – 60° = 100°. Since 100° ÷ 2.5° per minute = 40 minutes, it’ll take 40 minutes for the pies to bake. So, Nellie should take them out of the oven at 6:57 AM.
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 Middle School:
Question: It takes a barber 12 minutes to shave a face and 30 minutes to give a haircut. The barber works for 3 hours straight and spends twice as much time shaving faces as he does giving haircuts. If none of his customers get both a haircut and a shave, then how many customers does he see in total?
Answer: 12 customers
Solution: If the barber spends twice as much time shaving faces as he does giving haircuts, he must spend 2 hours shaving faces and 1 hour giving haircuts. Since it takes 12 minutes to shave a face, the barber shaves 5 faces per hour–that’s 10 in 2 hours. Each haircut takes 30 minutes, so he can give 2 haircuts in an hour. That means he sees 10 + 2 = 12 customers.
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 Algebra and Up:
Question: A cottage by the sea has a value of $750,000, which has increased at an annual rate of 5% for the past 10 years. How much was the cottage worth 10 years ago? You may use your calculator.
Answer: $460,434.94
Solution: The value of the cottage is currently $750,000, and it was worth C dollars 10 years ago. If its value has increased 5% each year for the past 10 years, then we know that $750,000 = C × 1.0510. To solve for C, we divide $750,000 ÷ 1.0510 = $460,434.9402, which rounds to $460,434.94. |
Challenge problem to take home. 20 points for the correct answer.
Rachael, Elaine and Connie have a total of 58 beads. Rachael and Elaine have a total of 34 beads. Elaine and Connie have a total of 42 beads. How many beads does Elaine have?
Solution: Rachael and Elaine have 34 beads, Connie and Elanie have 42 beads. If you have 34 and 42 to get 76. 76 is beigger than the total number of beads that all three of them have. This is because that you have counted number of beads that Elanie has twice. Therefore, we take 76 to subtract 58, we get Elaine has 18 beades. From there, we can easily get that Racheal has 16 and Connie has 24.
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