Info

The hedgehog was engaged in a fight with

Read More
Tips

What is the rule for making 3 squares with matchsticks?

What is the rule for making 3 squares with matchsticks?

Summary of 3 stick moves: Move 3 matches to make 3 squares matchstick puzzle. Select any pair of corner sticks for first and second moves, destroying 1 square, eliminating 2 common sticks and freeing up 2 sticks. Select for the third move, any of the corner sticks of the square opposite to the square just destroyed.

How do you make two squares with 7 toothpicks?

You take the two toothpicks from the bottom left square and put them in one of the other squares. You then have three big squares and four little ones, creating seven squares!

How many shapes can you make with 12 toothpicks?

You can essentially make 3 rectangles out of the 12 toothpicks. Remember, squares are technically rectangles.

Can you move three toothpicks to make three squares?

Can you make 3 squares by moving 3 matchsticks? The problem is like it sounds and there are no tricks. For instance, you cannot break any of the sticks, the resulting squares must be of equal size, and each toothpick has to be part of a square.

Can you form six congruent squares by moving three sticks?

Answer 3: Yes there will be a serious problem. It will create a common stick 6 with the existing central square made up of sticks 5, 6, 7, 8. And move it straightaway to complete one of three remaining nearly complete squares, say square with three sides 11, 7, 9.

Can you move just two matchsticks and create 7 squares?

To create 2 more new squares in 2 stick moves, effectively you have to create 3 new squares by moving 2 sticks. The reason behind this action requirement is—by moving 2 sticks you would destroy at least 1 square, and so you have to create 3 new squares to create 7 squares in the final figure.

How many matchsticks should you remove to get exactly two squares?

In puzzle figure, move 3 matches to make 2 squares.

How to solve the problem of toothpick squares?

In this problem students need to find a pattern and then apply it to a practical situation. There are two ways to apply the pattern. In the original problem Ripeka has to find how many toothpicks she needs to make 9 squares. But the problem can be looked at another way (see Variation). Given the number of toothpicks, how many squares can she make?

Can a table be used to count toothpicks?

A table can be used, all the squares can be made and the toothpicks counted. However, it is important that students see the relationship between the squares and the toothpicks, and that they are able to recognize similar situations in other patterns. Encourage them to make up their own matchstick pattern. Since 3# + 1 = 25, then # = 8.

Is the number of toothpicks a variable in Algebra?

In either direction the problem can build a foundation for algebra by enabling the students to see a link between variables. The variables here are the numbers of toothpicks and the numbers of squares. To be of value the students do not necessarily have to write this link formally as we have done in the solution.

How many triangles can you make with toothpicks?

Move two toothpicks to get the ball out from between the goalposts. 0 9. Move four toothpicks to make only three squares. 10. Move four toothpicks to make only four triangles and only two squares. 11. Move two toothpicks to make only \\fve triangles and only one square. From here on, they get harder!!! 12.

In this problem students need to find a pattern and then apply it to a practical situation. There are two ways to apply the pattern. In the original problem Ripeka has to find how many toothpicks she needs to make 9 squares. But the problem can be looked at another way (see Variation). Given the number of toothpicks, how many squares can she make?

How to make a hexagon out of toothpicks?

Arrange twelve toothpicks in a hexagon with six spokes. Move four toothpicks to create three triangles from the original design. 7 Make a spiral from thirty-five toothpicks. Move four toothpicks of the spiral to make three squares. 8 Arrange twelve toothpicks in four connected squares.

A table can be used, all the squares can be made and the toothpicks counted. However, it is important that students see the relationship between the squares and the toothpicks, and that they are able to recognize similar situations in other patterns. Encourage them to make up their own matchstick pattern. Since 3# + 1 = 25, then # = 8.