Triangle 161

Here is todays math puzzle. If you think you know the answer, please post it in the comments section.

What is the perimeter of the largest right triangle with all integer side lengths, one of which has a length of 161?

A Magic Sphere Answer

We had three people post their guesses to the problem that was posted on April 22nd. One guess was correct. The answer is after the jump.

Ziggurat

Here is a new puzzle. If you think you know the answer, please post it in the comments section.

The Sumians are building a ziggurat. They are building it out of blue and red cubes with a volume of one cubic meter. The ziggurat will be built in 32 layers that are centered on top of each other. From the top, the number of stones in the layers will go 1, 4, 9, 16, 25... All layers will be square. All stones that are visible on the outside are going to be blue and all stones that are not visible from the outside are going to be red. Red cubes weigh 2100 Kilograms each and blue cubes weigh 2700 Kilograms each. What percentage of the ziggurats mass is in the blue cubes? Round your answer to the nearest tenth of a percent.

The answer will be posted on monday.

Omnimart Answer

Here is the answer to the question posted on April 21st. If you want to see the answer, please highlight between the periods.

. You buy up to 10.2 pounds of bananas without going over budget.

Please post any feedback in the comments section.

A Magic Sphere

Here is a new puzzler. If you think you know the answer, please post your guess in the comments section.

Jim has a magic sphere. Every minute, the spheres radius grows by 4%. If the sphere has a radius of 5 centimeters at noon, what is its volume at 1:30 PM?

Gridball Answer

Here is the answer to the problem posted on 4/15. If you want to see it, please highlight between the periods.

. The second throw landed in the trapezoid, the third throw landed in the square, the seventh throw landed in the chevron and the ninth throw landed in the pentagon and on a side of the trapezoid. None of the other throws landed in a shape. Marci's final score was 23.

Please post any feedback in the comments section.

Omnimart

Here is today's puzzle. If you think you know the answer, please post it in the comments section.

The Omnimart is having a sale. If you buy toilet paper and bananas, you get a discount equivalent to $(rolls of toilet paper bought/4*pounds of bananas bought/20) on baked goods. If the discount is higher than the amount spent on baked goods, no discount is given. 6 rolls of toilet paper cost $3, a pound of bananas costs $1.25, a gallon of ice cream costs $3.50 and a bagel costs $0.65. If you are on a budget of $50 and you buy 18 rolls of toilet paper, 5 gallons of ice cream and 20 bagels, how many pounds of bananas can you buy without going over budget?

Zenzizenzizenzic Fantastic Answer

Here is the answer to the puzzle posted 4/13/11. Highlight the area between the periods to see the answer.

. The zenzizenzizenzic form of a number is the number to its 8th power. the first number with the letter c in it is one octillion. the zenzizenzizenzic form of one octillion is 10 to the 216th power.

Please post any feedback in the comments section.

Gridball

Here is todays puzzle. If you think you know the answer, please post it in the comments section.

Marci is playing a game called gridball. She throws a ball onto a grid with four shapes on it. If the ball lands in a shape or on one of the sides of a shape, she scores points equivalent to how many sides the shape the ball lands in has. If the ball lands in an overlap of two shapes or more, she scores points for all shapes the ball lands in. After each throw, shapes with 4 sides rotate 90 degrees counterclockwise around the origin, shapes with 5 sides rotate 180 degrees around the origin and shapes with 6 sides rotate 90 degrees clockwise around the origin. The shapes and the locations of their corners at the beginning are listed below.

Trapezoid: (-5, 4) (-1, 3) (1, -1) (-1, -4)

Square: (0, -1) (0, -7) (6, -7) (6, -1)

Pentagon: (-6, 0) (-2, -1) (2, -5) (1, -9) (-4, -6)

Chevron: (-2, 2) (1, 5) (5, 4) (6, 0) (3, -3) (2, 1)

Here are where her throws land:

1st (-4.8, -3.8)

2nd (0.6, -1.7)

3rd (-5.7, 3)

4th (5.7, 8.5)

5th (-6.1, -8.7)

6th (6.1, 7.4)

7th (-1.1, -1.5)

8th (5.8, -2.3)

9th (-2.5, -1)

10th (6.9, -0.2)

How many points does she score?

Number Sequence Answer

Below is the answer to the problem posted April 8th. If you want to see the answer, please highlight between the periods.

. The next three numbers are 364, 596 and 972. If you take the difference between the numbers in this sequence, you get a sequence that goes 1, 2, 4, 7, 12, 20, 33... If you take the differences between the terms in that sequence, you get the Fibonacci sequence.

Please post any feedback in the comments section.

Zenzizenzizenzic Fantastic

Here is todays puzzle. If you think you know the answer, please post your guess in the comments section.

Zenzizenzizenzic contains the most z's of any word in the English language. What is the zenzizenzizenzic form of the first number that when spelled out contains the letter c?

Guess the Number Answer

Here is the answer to the problem posted on April 7th. If you want to see it, please highlight between the periods.

. 2916 is the product of 4, 9 and 81 and is the answer.

Please post any feedback in the comments section.

Number Sequence

This is another puzzle. If you think you know the answer, please post it in the comments section. Good luck.

What are the next three numbers in this sequence?

1, 3, 7, 14, 26, 46, 79, 133, 221 ...

First Puzzle Answer

Below is the answer to the First Puzzle. If you want to see it, highlight it.

The two probabilities are the same. Both have a one in eight chance of happening.

Please post any feedback in the comments section.

Guess the number

In this puzzle, you will have to guess a number based on the three clues below. If you think you know the answer, please post it in the comments section.

1. The number is four digits.

2. The number is the product of 3 different square numbers.

3. The digit in the hundreds place is also the sum of the other 3 digits.

Good Luck!

First Puzzle

This is the first puzzle on the Casual Math Puzzlers blog. If you have a guess at the answer, please post it in the comments section.

There are two poker chips in a bag, one red and one blue. A chip is pulled out of the bag at random, then put back in the bag along with another one of the same color. After this is done seven times, is it more likely that there will be exactly five blue chips in the bag, eight red chips in the bag or are their probabilities the same?

Welcome!

Welcome to the Casual Math Puzzlers blog. Here you will find many math puzzles. New puzzles will be posted 2 or 3 times a week. Answers will be posted 3 days to a week after the puzzle. Now enjoy some math puzzles.