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Using 8 of the toothpicks, make a square with two on each side. Using another two, make a smaller square in one corner of the first. Using the remaining two, make a cross in the middle of the second square. One large square on the outside, one medium square inside it and four small squares formed inside that, for a total of six.

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Q: How can you form six squares with only twelve toothpicks?
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Toothhpicks in a drawing have been arranged to from four square remove two of the toothpicks and leave only two squares?

Remove one of the outer toothpicks and one of the dividers of two squares. there you have two SQUARES .


If you use Toothpicks to make four squares move only two so that two squares remain and a toothpick must be a part of a square?

Old one. Make a square out of four squares, then remove two adjacent inside toothpicks. This leaves a large square with a small square inside.


Toothpicks with five squares move only two to make seven squares?

Note that the question does not say how the 5 squares are arranged. Let me specify one scenario: ____ |_|_| |_|_| |_| Take the two toothpicks from the upper left corner (the upper-right and the corner right below it will do too) and put them inside one of the remaining squares like a cross +. I can count 7 squares or 8 squares, depending on whether I count the square that contains the + or not. If your question can be more specific about the count of toothpicks, perhaps we can have a better solution. ======================


How do you use 10 toothpicks to make 3 congruent squares?

Since every square has 4 sides and you only have 10 toothpicks, obviously you can't have the squares be separate. You will need exactly 2 toothpicks to overlap. Once you realize that, there are two shapes that are possible and can be rotated to make a total of 6 different solutions. A straight line (vertical or horizontal): = = = | | | | = = = Or an L-shape (forwards, backwards, and upside-down forwards and backwards): = | | = = | | | = = Sorry that these don't look quite right, the formatting is getting screwed up.


What is the minimum number of toothpicks necessary to spell the word FAT without breaking or bending any?

The straightforward answer would appear to be eight, using separate toothpicks to form each letter.(Use 3 in the F, 3 in the A, and 2 in the T.)However, if you can use the same toothpicks for all three letters at the same time, you only need three. (see related link)Using 3 ToothpicksBy overlapping the three toothpicks at the proper angles, you can simultaneously form an F, an A, and a T. Place the toothpicks atop each other to form a small triangle in the middle. You will see the letters F, A, and T within the angles formed. The horizontals of the F are, however, oddly splayed and not parallel.(see related link)


When you subtract one square number form another the answer is 9?

I'm not sure exactly what your question is, but the squares of 4 and 5 do have this property (and are the only perfect squares that do).


How many toothpicks does it take to spell the word FAT?

This is a popular riddle that should be illustrated for explanation.(see the related link and question)The answers are :It takes 8 if you don't break any, or bend any, and use separate toothpicks to form each letter. (There are 3 in the F, 3 in the A, and 2 in the T.)Only 1 if you break it into pieces. You can also bend it into four equal lengths, then cross the lengths into a star shape as below.Only 3 if you can use the same toothpicks for all three letters. By overlapping the three toothpicks at the proper angles, you can simultaneously form an F, an A, and a T. Place the toothpicks atop each other to form a small triangle in the middle. You will see the letters F, A, and T within the angles formed. The horizontals of the F are, however, oddly splayed and not parallel.It depends on how big you want to make it.


How many perfect squares are of the form aabb?

There is only one number of this type which is 7744=88^2 where a is 7 and b is 4


How do you do an egg drop with only cups and toothpicks?

To do an egg drop with cups and toothpicks, create a structure using the cups and toothpicks to form a protective outer layer around the egg. Make sure the egg is securely nestled within the structure to absorb impact. Test the structure by dropping it from increasing heights until you find the optimal design to protect the egg upon impact.


What is the sum of all positive integers less than 100 that are squares of perfect squares?

The only squares of perfect squares in that range are 1, 16, and 81.


What type of numbers would have only three divisors?

prime squares


Why is a cube not a Pyramid?

A cube is made out of squares ONLY. A Pyramid is out of triangles and sometimes with squares.