Captivating Daily Puzzles To Cross Train Your Brain

Smartkit: Math Puzzles and Math Brain Teasers

John, James, and Harry: a math brain teaser

math-allowance-brain-teaser

John, James, and Harry have $4.80 which they wish to divide equally among them. To do this, John, who has the most, gives to James and Harry as much as they already have. Then, James divides by giving John and Harry as much as they have after John’s division. Harry then divides with John and James in the same way, and it is found that they have equal sums.

Rightagon Inc.- a math/geometry puzzle

rightagon-geometry-math-puzzle

Now, not everyone enjoys these math problems,  so please be sure to check out all the other puzzle types we’ve just put up tonight.

Created by Michaelc!

Rightagon Inc. has a lot in downtown Metropolis in which they wish to build upon. The area that they are allowed to build a structure on is a 10,000 ft (squared) right triangle with 2 equal sides.

The Alpaca Riddle

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Can you think through and tease out logically what happened in the scenario below?-thanks to Roel for submitting!

The encircled goat puzzle

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Yes, this one is going to be wickedly hard!

A field has the shape of a circle of radius 100m and is enclosed by a circular fence. A goat is attached by a rope to a hook, at a fixed point on the fence. To stop the goat from getting too fat, the farmer wants to make sure that it can only reach half of the grass in the field. How long should the rope be?

The Defective Ball

You have 39 balls in front of you. All but one are of equal weight. You do not know whether the defective ball is lighter or heavier than the normal balls. You are given a comparison balance. You can use the balance only 4 times. How would you find out which is the defective ball? Is it heavier or lighter?

The Final Cut

Here’s the 3rd ‘Unity in Duality‘ challenge!

By drawing one NON-CURVED line, can you separate the Yin/Yang into 4 sections of equal size, but different shape? (ignore the 2 eyes/spots)

2 becomes 4

Ok, Here’s the 2nd challenge:

By drawing one line, can you separate the Yin/Yang into 4 sections of equal shape and size? (ignore the 2 eyes/spots)

Put 3 items up at once late Sunday night, so some of you may have missed the grasshoppers, and a neat word riddle.  Also, Roly poly cannon now loads quicker with mochi ads disabled, thank you Johnny-K!

Unity in Duality

The concept of Yin and Yang are used to describe how seemingly disjunct or opposing forces are interconnected and interdependent in the natural world, giving rise to each other in turn (read more).

Our 1st math question involving the great symbol, however, deals with area.

Which has the greater area, the inner circle containing the Yin Yang, or the outer ring?

The Goat Problem

A goat is tied on the corner post of a 20×20 ft barn in a flat grass field.

The goat can reach a length of 45 ft at maximum from the corner post

How many square feet can the goat eat exluding the area of the barn?

Thanks to MichaelC for submitting!