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I'd always have a pencil and paper ready and, if I really had an idea, I'd sit down at a bench and I'd start scribbling away.  Andrew J. Wiles, Mathematician

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Riddles

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Each of the second grade math enrichment students  picked a different number of red,, yellow, blue,, and green square tiles.  Each student then wrote a riddle to help the others figure out how many of each color tile (s)he had.  The riddles are listed below and require some mathematical and logical thinking to figure out.  See if you can guess how many tiles there are after reading each clue. By the time you get to the last clue you’ll have enough information to determine how many of each color tile the student has.  

If you get stuck check out the solutions.

Riddle #1  by Yehuda

  1. I have 13 tiles. 

  2. I have the same number of blue and green tiles. 

  3. I have 0 yellow tiles. 

  4. I have 7 red tiles.

 Riddle # 6 by Leah

  1. I have 13 tiles.

  2. I have 4 red tiles.

  3. I have 1 more blue tile than red.

  4. I have the same number of yellow and green tiles.

 

   Riddle # 2 by Rena

  1. I have 15 tiles.

  2. I have 3 more blue tiles than red tiles.

  3. I have 2 more red tiles than green tiles.

  4. The last color has 3+4-2 tiles and the color starts with 'y'.

 Riddle # 3 by Seth

  1. I have 8 blue tiles

  2. I have the same number of green and red tiles

  3. The number of yellow tiles is in the middle of 1 and 5.

  4. I have 15 tiles.

 

 Riddle # 7 by CMG

  1. I have 13 tiles.

  2. I have 3 blue tiles.

  3. I have the same number of green as blue tiles.

  4. There are 5 more yellow than red tiles.

 Riddle # 4 by Nava

  1. I have 10 tiles.

  2. My yellow and green tiles add up to half of the total.

  3. I have 3 blue tiles.

  4. I have 1 yellow tile.

  5. I have a color with 2 tiles.

Riddle # 8 by Avi

  1. I have the same number of blue and green tiles.

  2. There is one more yellow tile than red tiles.

  3. There is two more green tiles than red tiles.

  4. The number of blue tiles and the number of green tiles add up to 8.

 

Riddle # 5 by Shemaryahu

  1. There are 14 tiles in all.

  2. I have 6 blue tiles.

  3. I have the same number of yellow and green tiles.

  4. I have 2 more red than yellow or green tiles.

Riddle # 9 by Akiva

  1. There is 1 more red tile than yellow.

  2. There is 1 more green tile than blue.

  3. There are 3 less blue tiles than red tiles.

  4. There are 2 blue tiles.

 

Riddle #10 by Shimon

  1. There is the same number of red and green tiles.

  2. There are 3 more yellow than green tiles..

  3. There are 2 green tiles.

  4. There are 6 blue tiles.

 

Riddle # 11 by Oren

  1. I have 1 more red tile than blue tiles.

  2. I have 1 more blue tile than green tiles.

  3. The color of tiles that I have the most of is yellow.

  4. I have 6 yellow tiles.

  5. I have 15 tiles in all.

 

 

  

 

 

 

 

 

Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve.  Andrew J. Wiles, Mathematician

 

Riddle # 1 by Yehuda

7 red,, 0 yellow, 3 blue,, and 3 green square tiles.

 Riddle #4 by Nava

2 red,, 1 yellow, 3 blue,, and 4 green square tiles

 

 Riddle #6 by Leah

4 red,, 2 yellow, 5 blue,, and 2 green square tiles.

 
Riddle #2 by Rena

3 red,, 5 yellow, 6 blue,, and 1 green square tiles. 

How many did you solve? \Riddle #7  by CMG

51 red,, 6 yellow, 3 blue,, and 3 green square tiles. 

 
Riddle #3 by Seth

2 red,, 3 yellow, 8 blue,, and 2 green square tiles.

 

 Riddle # 5 by Shmaryahu

4 red,, 2 yellow, 6 blue,, and 2 green square tiles.

 

 Riddle #9  by Akiva

5 red,, 4 yellow, 2 blue,, and 3 green square tiles.

 
Riddle #10 by Shimon

2 red,, 5 yellow, 6 blue,, and 2 green square tiles.

 

 Riddle #8 by Avi

2 red,, 3 yellow, 4 blue,, and 4 green square tiles.

 

 Riddle #11 by Oren

4 red,, 6 yellow, 3 blue,, and 2 green square tiles.