August/September 2014 Newsflash: Math Muscle Challenge

Take the Math Muscle Challenge!

Grades 1 – 6: A racehorse can run a mile in 1 minute 40 seconds.  At that rate, how many seconds will it take the horse to run a half-furlong? (Hint – A furlong is 1/8 of a mile.)

Grades 6 and up: Brian is going on a road trip in his van. When he leaves the house, he has a half tank of gas. After driving for 4 hours, he used 80% of the gas in the tank. At that point he had 2 gallons of gas left. How many gallons of gas does the gas tank hold?

Answers to Last Math Muscle Challenge

Grades 1 – 6: 32 ducks

Grades 6 and up: 3366

Note: There are many ways to solve this problem. One way is to start by finding the second and third digit of the combination. As the problem stated, the first two digits are the same and adding them together produces the third digit. That means the third digit is actually twice as much as the second digit. We also know that the second and third digit form a perfect square whose square root is the fourth digit. Looking at the two-digit perfect roots 16, 25, 36, 49, 64, and 81, we see that there’s only one that has a third digit that’s twice as much as the second digit: 36. That means the first digit must also be a 3. Adding 3 and 3 does give 6. Now, we take the square root of 36 we get 6 so the fourth digit is also 6, which is the same as the third digit.

This means the combination is 3366.

June/July 2014 Newsflash: Math Muscle Challenge

Answers to last month's challenges:

Grades 1-6: $37.15
Grades 6 and up: 64 times larger

This month's problems:

Grades 1 - 6: 

Rick goes to the park each day and counts the number of ducks swimming on the pond. On Sunday he counts 1 duck. On Monday he counts 2 ducks. On Tuesday he counts 4 ducks.  On Wednesday he counts 8 ducks. If this pattern continues, how many ducks will Rick count on Friday?

Grades 6 and up: 

Richard put an important document into a safe with a four digit numerical combination. In order for his partner Kevin to retrieve the document he must enter the correct combination. Richard told Kevin that the first two digits are identical and the last two digits are identical (XXYY). He also said the third digit is the sum of the first two digits and the last digit is the square root of the number formed by the middle two digits. What is the combination? (*Hint – The middle two digits together form a number that is a perfect square.)