### The Math Beast Challenge Problem of the Week – December 9, 2013

If

xandyare integers such thatx<yandxy= 4, which of the following could be the value of 2x+ 4y?

** To see this week’s answer choices and to submit your pick, visit our Challenge Problem page.**

### The Math Beast Challenge Problem of the Week – December 2, 2013

What is the greatest prime factor of 399?

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### The Math Beast Challenge Problem of the Week – November 25, 2013

If

nis a positive integer greater than 1, then the functionp(n) represents the product of all the prime numbers less than or equal ton. Which of the following is the second smallest prime factor ofp(11) + 12?

** To see this week’s answer choices and to submit your pick, visit our Challenge Problem page.**

### The Math Beast Challenge Problem of the Week – November 18, 2013

Orren drove from his home to work in the morning at

xmiles per hour, and returned home in the evening atymiles per hour. His average speed for the round trip was 60 miles per hour.

Quantity A Quantity B

x 30

- Quantity A is greater.
- Quantity B is greater.
- The two quantities are equal.
- The relationship cannot be determined from the information given.

** To see this week’s answer choices and to submit your pick, visit our Challenge Problem page.**

### The Math Beast Challenge Problem of the Week – November 11, 2013

- Quantity A is greater.
- Quantity B is greater.
- The two quantities are equal.
- The relationship cannot be determined from the information given.

** To see this week’s answer choices and to submit your pick, visit our Challenge Problem page.**

### The Math Beast Challenge Problem of the Week – November 4, 2013

Positive integer

nleaves a remainder of 2 after division by 6 and a remainder of 4 after division by 5. What is the remainder whennis divided by 30?

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### The Math Beast Challenge Problem of the Week – October 28, 2013

If

xis a positive integer and the first nonzero digit in the decimal expansion of is in the hundredths place, what is the value ofx?

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### The Math Beast Challenge Problem of the Week – October 21, 2013

The outer figure above is a rectangle with four rounded corners of radius equal to 2. The inner figure is a circle.

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### The Math Beast Challenge Problem of the Week – October 14, 2013

Xander, Yolanda, and Zelda each have at least one hat. Zelda has more hats than Yolanda, who has more than Xander. Together, the total number of hats the three people have is 12. If Zelda has no more than 5 hats more than Xander, which of the following could be the number of hats that Yolanda has?

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### The Math Beast Challenge Problem of the Week – October 7, 2013

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