Brain Teasers and Puzzles 

Workings

Hint
The first letters of the words are: C, F, J, M, M, P, P, T, W, Z (but not in this order).

Answers
Japan    = 1010 + 1 + 10000 + 1 + 1110 Wales    = 10111 + 1 + 1100 + 101 + 10011 Poland   = 10000 + 1111 + 1100 + 1 + 1110 + 100 France   = 110 + 10010 + 1 + 1110 + 11 + 101 Chile    = 11 + 1000 + 1001 + 1100 + 101 Morocco  = 1101 + 1111 + 10010 + 1111 + 11 + 11 + 1111 Zambia   = 11010 + 1 + 1101 + 10 + 1001 + 1 Tonga    = 10100 + 1111 + 1110 + 111 + 1 Panama   = 10000 + 1 + 1110 + 1 + 1101 + 1 Mongolia = 1101 + 1111 + 1110 + 111 + 1111 + 1100 + 1001 + 1

Workings

Hint
Where else might you see arrows and letters together?

Answers
See, new, sense, sew, ewe.

The arrows are pointing in the compass directions N, E, S, and W.

Workings

Hint
Start on any square, and see how far you get.

Answer
Start from the 2R on the sixth row down and the second column across.

Workings

Hint
Look at the first and third columns first.

Answer
The missing sum is 40.
Circle   = 12
Star     = 3
Square   = 7
Triangle = 9

Reasoning
Looking at Column 1 and Column 3 we have:

[1]   Square + Star + Circle + Square = 29
[2]   Square + Square + Triangle + Star = 26

If we subtract [1] – [2] we get:

[3]   Circle – Triangle = 3

And Row 3 is:

[4]   Circle + Circle + Triangle + Circle = 45

If we add [3] + [4] we get:

Circle + Circle + Circle + Circle = 48

So Circle = 12.

Using [3] we find that Triangle = 9.

Using Column 2 we find that Star = 3.

Using Row 1 we find that Square = 7.

Double-Checking
The rows add to: 35 + 26 + 45 + 25 = 131.

The columns add to: 29 + 36 + 26 + 40 = 131.

The rows and columns must add to the same number, so this could have been used a shortcut to the missing sum.

In total, there are:
   5 Squares   = 5 x 7  = 35
   5 Circles   = 5 x 12 = 60
   3 Stars     = 3 x 3  =  9
   3 Triangles = 3 x 9  = 27

Which is also a total of 131.

So all of the totals are the same, as expected.