Random Puzzles 

Workings

Hint
How many 1 x 1 squares are there, how many 2 x 2, …?

Answer
2,870 squares.

Reasoning
We have squares sizes from 1 x 1 up to 20 x 20, and these are the counts:
 1 x  1 = 400
 2 x  2 = 361
 3 x  3 = 324
 4 x  4 = 289
 5 x  5 = 256
 6 x  6 = 225
 7 x  7 = 196
 8 x  8 = 169
 9 x  9 = 144
10 x 10 = 121
11 x 11 = 100
12 x 12 =  81
13 x 13 =  64
14 x 14 =  49
15 x 15 =  36
16 x 16 =  25
17 x 17 =  16
18 x 18 =   9
19 x 19 =   4
20 x 20 =   1

Total = 400 + 361 + 324 + 289 + 256 + 225 + 196 + 169 + 144 + 121 + 100 + 81 + 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 2870.

Workings

Hints
The first letters of the words are: R, C, G, C, L, H, E, B, L.

Answers
18 8 9 14 15          = rhino 3 18 15 3 15 4 9 12 5 = crocodile 7 9 18 1 6 6 5        = giraffe 3 8 5 5 20 1 8        = cheetah 12 5 15 16 1 18 4     = leopard 8 9 16 16 15          = hippo 5 12 5 16 8 1 14 20   = elephant 2 21 6 6 1 12 15      = buffalo 12 9 15 14            = lion

Workings

Hint
Find the weight of the bottle first.

Answer
24 ounces.

The bottle weighs 16 ounces.

Reasoning
As a bottle (B) weighs eight ounces plus half a bottle, we can write this as:
   B = 8 + ¹/₂ x B
  ¹/₂ x B = 8
   B = 16

As the bottle weighs 16 ounces, a bottle and a half weighs 16 + 8 = 24 ounces.

Workings

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

Answer
Start from the 1U which is on the 5^th row and the 6^th column.