Puzzle with Sets

Place numbers inside the regions in given sets, so that the yellow regions will be the sum of the intersecting green regions. You can use each number once only.

Example

Letters

What is the pattern here?

1, 2, 3, 4, 5, 6, 7, 8, 9

1  2  3  4  5  6  7  8  9  = 99

Add pluses between the numbers in such a way that you get 99. 

In how many different ways can you do it?

1+2+3+4+5+67+8+9=99

1+23+45+6+7+8+9=99

9, 8, 7, 6, 5, 4, 3, 2, 1 (3)

9   8   7   6   5   4   3   2   1  = 99

Add pluses between the number in such a way that you get 99. 

Can you do it in two different ways?

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9+8+7+65+4+3+2+1
9+8+7+6+5+43+21

9, 8, 7, 6, 5, 4, 3, 2, 1 (2)

Use 1, 2, 3, 4, 5, 6, 7, 8 and 9 once and mathematical operations to get 900.

9, 8, 7, 6, 5, 4, 3, 2, 1 (1)

Use 9, 8, 7, 6, 5, 4, 3, 2 and 1 once and mathematical operations to get 4444.

Basic Level Explorations

Easy algebra substitution

Palindromic Years

What is the difference between the last and the next palindromic years?

Circle Problem

Beautiful Pattern

Exponent Laws Question

[source]

Unit Circles

What comes next?

What replaces the question mark?

Fill in the blanks

Finding 6

This is a famous type of puzzle (use four 4s to get numbers from 1 to 20 for example), 

I saw this version on Kyle D. Evans' twitter account .

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