Fun Mathy Type Riddles

[Edwardo Piet]

Wow Losty I never knew you were so awesome at math.

Well, sure, I am comparing you to myself though and I suck balls at it

Yes, I can do addition lol

Me too.

With a calculator.

Lol.

[Whateverist]

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Yep, I think the ball problem only catches anyone if they forget to count the upward bounce between each drop.

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  I scribbled the bolt/tray one - got the tray weighing 340 grams

You got it.  This one is almost too much straight math and too little puzzler, though it does lend itself to a much simpler approach than solving the system:  20x + y = 420  and  40x + y = 500

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for the toothpick one, if you don't count 'moving' as 'removing' the you could remove the two middle vertical toothpicks, and move one of the horizontal ones to become the new vertical for a small square in the corner of the larger square to end up two squares... and I have no idea how to make a picture of that with typing.

Yeah, that would count as one two many moves for this problem.  There is an aspect of the solution some may not like.

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I've made bolded comments within your hide tags.

[mlmooney89]

Okay, I've gone to the shelf to find a few more:

1• A ball is dropped from a height of 40 feet.  It always bounces half the height it is dropped.  How far will it have traveled from the time it is dropped until the time it hits the ground the fourth time?



2• These toothpicks have been arranged to form four (small) squares.  Remove just two toothpicks so that only two squares are formed.  (Sorry about the lousy graphics.)
  _   _
| _ | _ |
| _ | _ |



3• You have only two buckets, one holds exactly 4 gallons of water and the other exactly 7 gallons.  Neither bucket contains any markings on it.  Using just these two buckets how can you bring back exactly 5 gallons of water?



4• A tray with 40 (identical) bolts weighs 500 grams.  The same tray holding 20 of the same bolts weighs 420 grams.  What is the weight of the tray?

Just because I like these riddles doesn't mean I'm good at them lol. I got the ball one but the toothpick one all I can get are rectangles not squares by removing two. I think I got the bucket one but not sure. The bolts one I'm fully lost on. Someone solve it for me lol

[Whateverist]

Okay, I've gone to the shelf to find a few more:

1• A ball is dropped from a height of 40 feet.  It always bounces half the height it is dropped.  How far will it have traveled from the time it is dropped until the time it hits the ground the fourth time?



2• These toothpicks have been arranged to form four (small) squares.  Remove just two toothpicks so that only two squares are formed.  (Sorry about the lousy graphics.)
  _   _
| _ | _ |
| _ | _ |

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HINT: Notice I felt the need to specify small squares when referring to the original figure, but not in regard to the figure formed by removing two toothpicks.

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3• You have only two buckets, one holds exactly 4 gallons of water and the other exactly 7 gallons.  Neither bucket contains any markings on it.  Using just these two buckets how can you bring back exactly 5 gallons of water?



4• A tray with 40 (identical) bolts weighs 500 grams.  The same tray holding 20 of the same bolts weighs 420 grams.  What is the weight of the tray?

Just because I like these riddles doesn't mean I'm good at them lol. I got the ball one but the toothpick one all I can get are rectangles not squares by removing two. I think I got the bucket one but not sure. The bolts one I'm fully lost on. Someone solve it for me lol

Put a hint in there for you for #2.

[Fireball]

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[Edwardo Piet]

[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARAAAAEMCAIAAACDfH6iAAAGYklEQVR4nO3dMW4T7QKGUS+DMktgCV4CS8gSEBtwSekKUbqknCVM6dJlSpcup3TJLYjutfInEZ/yX+ZBOaeEkfWZlwfMhNibZVm+fPmy4//vfD7/fLNlWdZ+Hu/Fsiz//PXffPv27ePHj2uf7V04nU5vD+Z8Pq/9PN6LZ/+A2xwOh/v7+7cPCe+BYOC37Pf7w+EgGPgtv16nCQZ+i2Dqpmla+wj8j2DqNpvNv3Inmn+FYOoEkyKYOsGkCKZOMCmCqdtut5fLZe1T8EgwMEAwMEAwMEAwMEAwdbsXviWDVQimzm3lFMHUCSZFMHWCSRFMnWBSBFMnmBTB1AkmRTB1gkkRTJ1gUgRTJ5gUwdTN83y9Xtc+BY8EAwMEAwMEAwMEAwMEU+cuWYpg6gSTIpg6waQIpk4wKYKpE0yKYOoEkyKYOsGkCKZOMCmCqRNMimDqvC9ZimBggGBggGBggGBggGDq/KM/RTB1biunCKZOMCmCqRNMimDqBJMimDrBpAimTjApgqkTTIpg6gSTIpg6waQIBgYIBgYIBgYIBgYIps4HKqUIps5dshTB1AkmRTB1gkkRTJ1gUgRTJ5gUwdQJJkUwdYJJEUydYFIEUyeYFMHU+Up/imBggGBggGBggGBggGDqttvt5XJZ+xQ8Ekyd28opgqkTTIpg6gSTIpg6waQIpk4wKYKpE0yKYOoEkyKYOsGkCKbOFy5TBAMDBAMDBAMDBAMDBFO32+2WZVn7FDwSTJ3byimCqRNMimDqBJMimDrBpAimTjApgqkTTIpg6gSTIpg6waQIpk4wKYKp82bkKYKBAYKBAYKBAYKBAYKpc5csRTB1gkkRTJ1gUgRTJ5gUwdQJJkUwdYJJEUydYFIEUyeYFMHUCSZFMHXelyxFMDBAMDBAMDBAMDDgMZjj8fj9+/e1D8MzfAJZymMwax+DF7mtnCKYOsGkCKZOMCmCqRNMimDqBJMimDrBpEzTNE2TYLoEEySYLsEECaZLMEGC6Zqmae0j8JRg/ibn83m+8eQ/zhyPx/kFp9Pplcd54vYjA67X6ytXPvkL8OHh4aUrj8fj7ZXLsrzysE++C+jPP68nD3tLMH+T7Xa7uXE4HG5/9u7ubvOC7XZ7e+Vut3vpyievA8/n8ytX7na724e9v79/6cq7u7vbK+d5fuVh53le93l9+PDhpQ8aEQwMEAwMeCaYZVl2/BGvvFam6Zlgrtfr169f1/699C64a/zX8ZIMBggmZJqmz58/r30KXiOYEO+v0CeYEMH0CSZEMH2CCRFMn2BCBNMnmBDBlO33+/1+L5gQwZT9+lqzYEIEU/YYzK/vTFj7MPz8KZi2x2CM1GGLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDm2KBNMji3KBJNjizLB5NiiTDA5tigTTI4tygSTY4syweTYokwwObYoE0yOLcoEk2OLMsHk2KJMMDkPDw8/fvxY+xQ8TzAwQDAwQDAwQDAwQDAwQDAwYJ7neZ4FAwMEAwMEAwM21+v1crmsfQz4O2ye/dGZP2JZlreMdz6f134G78LpdHotmPP5vOWPmKbpLcHsdru1n8G78OnTp//+mv8Hc+nJvlq8iUIAAAAASUVORK5CYII=[/img]

Hmmm.

Is CWIGLYZIGLTHIDLQUAMPAMONKMEEK the answer?

[pocaracas]

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We have one small and one large square.

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[Fireball]

[img]data:image/png;base64,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[/img]

Hmmm.

Is CWIGLYZIGLTHIDLQUAMPAMONKMEEK the answer?

The pic I posted got hosed. I fixed it, sort of.

[Losty]

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what about this?

|_|_|
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Then you're left with 2 small squares and no big squares

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[Whateverist]

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what about this?

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Then you're left with 2 small squares and no big squares

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Wow, I never thought of that before but I like it.  It doesn't say remove two toothpicks in such a way as to leave two squares and nothing else.  If I got such an answer when I was teaching I'd have given them lots of kudos.