Random Puzzles 

Workings

Hint
How many 1 x 1 squares are there?

Answer
91 squares.

Reasoning
Squares of size:
   1 x 1 = 36
   2 x 2 = 25
   3 x 3 = 16
   4 x 4 = 9
   5 x 5 = 4
   6 x 6 = 1

Total = 36 + 25 + 16 + 9 + 4 + 1 = 91.

Workings

Hint
How many walls can be built in 20 days?

Answer
4 days.

Reasoning
In 20 days, Sam can build 1 wall, and Taylor and Kelly can each build 2 walls.

So, in 20 days, 5 walls can be built.

Therefore, one wall will take 4 days to build.

Workings

Hint
The first word begins with T.

Answer
Too many cooks spoil the broth.

Reasoning
The saying has been broken down into blocks of 4, the last block has been filled with dummy letters. Each block has then been reversed.

Double-Checking
Start with:
   TOO MANY COOKS SPOIL THE BROTH

Group together:
   TOOMANYCOOKSSPOILTHEBROTH

Split into groups of 4 letters:
   TOOM ANYC OOKS SPOI LTHE BROT H

Add 3 random characters:
   TOOM ANYC OOKS SPOI LTHE BROT HBCY

Reverse each group of 4 letters:
   MOOT CYNA SKOO IOPS EHTL TORB YCBH

Workings

Hint
Work out how many each can eat in one minute.

Answer
53 minutes.

Reasoning
In one minute, Eddie eats 11 bananas (= 110 ÷ 10).

In one minute, Hugo eats 7 bananas (= 56 ÷ 8).

So in total, they eat 18 bananas every minute.

So it will take 954 ÷ 18 = 53 minutes.