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.
2 rectangles. Put two toothpicks on 2 sides and one on the other side, and that uses 6 toothpicks and if you make another rectangle like that you make 2 rectangles.
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.
12 squares.
3 squares and 4 triangles will have 24 vertices. There will be 4 vertices for each of the 3 squares. Since there are 3 squares, that will be 12 vertices. There are 3 vertices for each of the 4 triangles. Since there are 4 triangles, that will be 12 vertices. 12+12=24.
A square has 4 sides therefore 3 squares from 12 toothpicks will simply be three unconnected squares
You make 3-D! Look... 6 squares in one cube and you can do that with toothpicks too!
bend 2 toothpicks at 90 degree angles and put them cornor to cornor
Use them to form the edges of a cube.
You can arrange them to make a cube.12 edges, 6 faces.
Take two toothpicks that create an outside corner. Cross them like a + inside one of the remaining boxes. Count the new four smaller boxes inside it as 4, the one they are formed in as 5, and the two untouched boxes as 6 and 7. (The trick is to remember to count the larger box the 4 are formed in.)
move
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. ======================
Make a two by two grid with six toothpicks, and then place the other two toothpicks at a 45 degree angle on the corner of two of the squares.
You arrange 12 toothpicks into a large square, subdivided into four squares : 2 toothpicks on each side and four more, one each from the middle of the sides to the center of the large square. Now you have four (small) squares. Take away 2 adjacent toothpicks from the ones in the center, and you have 2 squares : one remaining small one and the large one that has the small one inside it. (see related link)
Remove one of the outer toothpicks and one of the dividers of two squares. there you have two SQUARES .
five