Random Puzzles 

Workings

Hint
A knight moves in the shape of an L, two squares one way, one square the other.

Answer
 

Workings

Hint
Try working backwards.

Answer
148.

Reasoning
A number that is divisible by 3 has digits that add up to a number that is also divisible by 3 (for example, 123 is divisible by 3).

So we can look for the first number where 4 + 4 + 4 + 4 + 4 + … is divisible by 3, which is 4 + 4 + 4, and 444 ÷ 3 = 148.

Alternative Reasoning
Let's try the possible answers in order:

  4 ÷ 3 = 1.3333
 44 ÷ 3 = 14.6666
444 ÷ 3 = 148

Double-Checking
148 x 3 = 444.

Workings

Hint
Look at the lines.

Answer
 


Reasoning
Each letter appears as many times as there are straight lines in that letter.

The letter H has three straight lines, so three H's are shown.

Workings

Hint
Start by looking at the consonants and vowels (AEIOU).

Answer
65 tonnes.

Vowels (AEIOU) are worth 3 and consonants are worth 5, added together and then multiplied by the number of ingots.

So TIN has 1 vowel (worth 3) and 2 consonants (worth 10).

Added gives 13, then multiplied by 5 ingots = 65.