How can this be true? Have a look at the picture. All the lines are straight, the shapes that make up the top picture are the same as the ones in the bottom picture so where does the gap come from?

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I am a portal to another world which you cannot enter. Only you can see me but I can’t see you. What am I?

I run, yet I have no legs. What am I?

Given two 2s, “plus” can be changed to “times” without changing the results: 2 + 2= 2 x 2. The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3. What is the answer for 4 numbers and for 5 numbers?

I have a birthplace but was never born. I have a mouth but can’t speak and I run but have no legs. What am I?

What has a face, but no head; hands, but no feet; yet travels everywhere and is usually running?

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How can this be true? Have a look at the picture. All the lines are straight, the shapes that make up the top picture are the same as the ones in the bottom picture so where does the gap come from?

Answer: The green triangle has dimensions 2 x 5 and gradient 2 / 5 = 0.4 The red triangle has dimensions 3 x 8 and gradient 3 / 8 = 0.375 Hence the gradient of the green triangle is greater than that of the red triangle.

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The green triangle has dimensions 2 x 5 and gradient 2 / 5 = 0.4 The red triangle has dimensions 3 x 8 and gradient 3 / 8 = 0.375 Hence the gradient of the green triangle is greater than that of the red triangle.

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I am a portal to another world which you cannot enter. Only you can see me but I can’t see you. What am I?

Answer: Television

Solution:

I run, yet I have no legs. What am I?

Answer: Nose

Solution:

Given two 2s, “plus” can be changed to “times” without changing the results: 2 + 2= 2 x 2. The solution with three numbers is easy too: 1 + 2 + 3= 1 x 2 x 3. What is the answer for 4 numbers and for 5 numbers?

Answer: Solution for 4 numbers: 1 + 1 + 2 + 4= 1 x 1 x 2 x 4. Solution for 5 numbers: 1 + 1 + 1 + 2 + 5= 1 x 1 x 1 x 2 x 4 1 + 1 + 1 + 3 + 3= 1 x 1 x 1 x 2 x 4 1 + 1 +2 + 2 + 2= 1 x 1 x 2 x 2 x 2

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Solution for 4 numbers:
1 + 1 + 2 + 4= 1 x 1 x 2 x 4.
Solution for 5 numbers:
1 + 1 + 1 + 2 + 5= 1 x 1 x 1 x 2 x 4
1 + 1 + 1 + 3 + 3= 1 x 1 x 1 x 2 x 4
1 + 1 +2 + 2 + 2= 1 x 1 x 2 x 2 x 2

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I have a birthplace but was never born. I have a mouth but can’t speak and I run but have no legs. What am I?

Answer: River

Solution:

What has a face, but no head; hands, but no feet; yet travels everywhere and is usually running?

Answer: A watch.

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A watch.

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