Mathematical Puzzles 

Workings

Hint
How many 2x2 squares are there?

Answer
There are 93 squares without a rook.

Reasoning
There are 60 squares of size 1x1.
There are 33 squares of size 2x2.

Giving a total of 60 + 33 = 93 squares.

Workings

Hint
This puzzle is perhaps easier than it first appears.

Answer
15.

Using normal mathematics!

⁵/₁₅ of 45 = ¹/₃ of 45 = 15.

Workings

Hint
You have to highlight three numbers.

Answer
2 + 13 + 2 = 17.

The puzzle didn't ask for three digits to be highlighted!

Workings

Hint
Try working backwards.

Answer
335 strawberries.

Reasoning
Working backwards …

I ended up with 34 strawberries, so I had 102 before giving Charlie two thirds.

I ate 6 myself, so I had 108 before I ate those.

I had 108 strawberries, so I had 162 before giving Billie one third.

I ate 3 myself, so I had 165 before I ate those.

I had 165 strawberries, so I had 330 before giving Alex one half.

Ate 5 myself, so I had 335 before I ate those.

Therefore, I started with 335 strawberries.

Double-Checking
I started with 335.

I ate 5, leaving 330.

I gave Alex half (165), leaving 165.

I ate 3, leaving 162.

I gave Billie one third (54), leaving 108.

I ate 6, leaving 102.

I gave Charlie two thirds (68), leaving 34.