Here is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 4 points in the summer competition.

The King of Sumia has 23 gems. Each of these gems has a number, All of the gems are prisms that have bases that are regular polygons. Each gem has its own box. The boxes all have letters on them, A-W. The gem with the greatest volume goes in box A, the one with the next greatest volume goes in box B, and so on. Below is a list of how many sides are on each gems base, how long each side is and how tall each gem is.

Gem 1: 3 sides, 13 side length, 22 height

Gem 2: 4 sides, 15 side length, 8 height

Gem 3: 5 sides, 11 side length, 10 height

Gem 4: 6 sides, 7 side length, 15 height

Gem 5: 7 sides, 14 side length, 15 height

Gem 6: 8 sides, 6 side length, 19 height

Gem 7: 9 sides, 8 side length, 15 height

Gem 8: 10 sides, 8 side length, 9 height

Gem 9: 11 sides, 7 side length, 18 height

Gem 10: 12 sides, 6 side length, 15 height

Gem 11: 13 sides, 6 side length, 13 height

Gem 12: 14 sides, 6 side length, 9 height

Gem 13: 15 sides, 9 side length, 11 height

Gem 14: 16 sides, 5 side length, 4 height

Gem 15: 17 sides, 3 side length, 10 height

Gem 16: 18 sides, 6 side length, 6 height

Gem 17: 19 sides, 5 side length, 10 height

Gem 18: 20 sides, 3 side length, 6 height

Gem 19: 21 sides, 4 side length, 3 height

Gem 20: 22 sides, 2 side length, 3 height

Gem 21: 23 sides, 3 side length, 2 height

Gem 22: 24 sides, 3 side length, 6 height

Gem 23: 25 sides, 2 side length, 4 height

Which gem goes in each box?

The answer will be posted on Monday or when somebody posts an answer in the comments section.

## Tuesday, June 28, 2011

## Monday, June 13, 2011

### Fun with Factors

Here is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 3 points in the Summer Competition.

What is the sum of the non-semiprime numbers on the list below minus the number on the list below that has the most distinct prime factors?

36064, 14101, 60303, 99362, 11287, 97462, 73941, 92428, 65799, 53422, 13276, 37968, 45785, 37112, 50485, 51963, 29444, 41506, 16199, 60497, 57592, 91774, 63447, 43749.

The answer will be posted when somebody posts an answer.

What is the sum of the non-semiprime numbers on the list below minus the number on the list below that has the most distinct prime factors?

36064, 14101, 60303, 99362, 11287, 97462, 73941, 92428, 65799, 53422, 13276, 37968, 45785, 37112, 50485, 51963, 29444, 41506, 16199, 60497, 57592, 91774, 63447, 43749.

The answer will be posted when somebody posts an answer.

## Sunday, June 12, 2011

### Der Sequenz Wieder Answer

Contained within this post is the answer to the puzzle posted on June 6th. One answer was posted. If the answer is correct, the poster gets 3 points. If not, the points go unclaimed. The answer is after the jump.

## Friday, June 10, 2011

### Package Stackage

Here is todays puzzle. If you think that you know the answer, please post your guess in the comments section. This puzzle is worth 2 points in the Summer Competition.

At the Cremliville Post Office, there are 2 stacks of rectangular packages with square bases. Stack A has 18 packages. The bottom one is 18 inches long and 1 inch high. Each package in stack A is 1 inch less in length and 2 inches more in height than the one below it. Stack B has 22 packages. The bottom one is 22 inches long and 1 inch high. Each package in stack B is 1 inch less in length and 1 inches more in height than the one below it. Which stack has the larger average package size and what percent greater is the larger average package size than the smaller average package size? Please round your answer to the nearest hundredth of a percent.

The answer will be posted when an answer is posted in the comments section.

At the Cremliville Post Office, there are 2 stacks of rectangular packages with square bases. Stack A has 18 packages. The bottom one is 18 inches long and 1 inch high. Each package in stack A is 1 inch less in length and 2 inches more in height than the one below it. Stack B has 22 packages. The bottom one is 22 inches long and 1 inch high. Each package in stack B is 1 inch less in length and 1 inches more in height than the one below it. Which stack has the larger average package size and what percent greater is the larger average package size than the smaller average package size? Please round your answer to the nearest hundredth of a percent.

The answer will be posted when an answer is posted in the comments section.

## Wednesday, June 8, 2011

### Omnicheese Answer

Contained within this post is the answer to the puzzle posted on June 2nd. One answer was posted. If it is correct, the poster scores 3 points. If not, the points go unclaimed. The answer is after the jump.

## Monday, June 6, 2011

### Der Sequenz Wieder

Here is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 3 points in the Summer Competition.

What are the next 3 terms in the following sequence?

210, 1155, 5005, 17017, 46189, 96577 ...

The answer will be posted on Friday or when a guess is posted in the comments section.

What are the next 3 terms in the following sequence?

210, 1155, 5005, 17017, 46189, 96577 ...

The answer will be posted on Friday or when a guess is posted in the comments section.

### Triangles, not Hexagons Answer

Contained within this post is the answer to the puzzle posted on May 31st. One person posted an answer. If his answer is right, he scores 2 points. If the answer is wrong, the points go unclaimed. The answer is after the jump.

## Thursday, June 2, 2011

### Omnicheese

Here is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 3 points in the Summer Competition.

Omnimart is having another sale. Discounts are avalible on American, Swiss and Limburger cheese, peanuts and chocolate milk. The discount on Limburger cheese is (blocks of Swiss cheese bought*4)%. The discount on Swiss cheese is (blocks of American cheese bought*3)%. The discount on American cheese is (blocks of Limburger cheese bought*3.5)%. The discount on peanuts is (blocks of cheese bought)%. The discount on chocolate milk is (blocks of American cheese bought*blocks of Swiss cheese bought*blocks of Limburger cheese bought*cans of peanuts bought/1000)$. The prices of the products are listed below.

Block of American cheese: 3.00$

Block of Swiss cheese: 4.00$

Block of Limburger Cheese: 5.00$

Can of peanuts: 1.50$

Gallon of chocolate milk: 3.00$

You are on a budget of 80$. If you buy 7 blocks of American cheese, 5 blocks of Swiss cheese, 10 cans of peanuts and 3 gallons of chocolate milk, how many blocks of Limburger cheese can you buy? You can't buy a partial block of Limburger cheese.

The answer will be posted on Wednesday.

Omnimart is having another sale. Discounts are avalible on American, Swiss and Limburger cheese, peanuts and chocolate milk. The discount on Limburger cheese is (blocks of Swiss cheese bought*4)%. The discount on Swiss cheese is (blocks of American cheese bought*3)%. The discount on American cheese is (blocks of Limburger cheese bought*3.5)%. The discount on peanuts is (blocks of cheese bought)%. The discount on chocolate milk is (blocks of American cheese bought*blocks of Swiss cheese bought*blocks of Limburger cheese bought*cans of peanuts bought/1000)$. The prices of the products are listed below.

Block of American cheese: 3.00$

Block of Swiss cheese: 4.00$

Block of Limburger Cheese: 5.00$

Can of peanuts: 1.50$

Gallon of chocolate milk: 3.00$

You are on a budget of 80$. If you buy 7 blocks of American cheese, 5 blocks of Swiss cheese, 10 cans of peanuts and 3 gallons of chocolate milk, how many blocks of Limburger cheese can you buy? You can't buy a partial block of Limburger cheese.

The answer will be posted on Wednesday.

### Blokies Answer

Contained within this post is the answer to the puzzle posted on May 27th. The answer is after the jump.

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