Random Puzzles 

Workings

Hint
The list is related to numbers.

Answer
Llama.

The length of each word is the same length as the numbers one, two, three, four, five, six, etc.

The next number is SEVEN, which has 5 letters, and llama is the only word with 5 letters.

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
Break down 210 into its factors.

Answer
12357.

Reasoning
Since 210 = 2 x 3 x 5 x 7, 12357 is the only way to get a 5-digit number, in ascending order.

Workings

Hint
Can you see 1, 2, 3, …?

Answer
46.

Reasoning
Take the numbers in pairs, square the first, and reverse the digits.
1  1   (1 x 1 = 1,  reversed is 1)
2  4   (2 x 2 = 4,  reversed is 4)
3  9   (3 x 3 = 9,  reversed is 9)
4  61  (4 x 4 = 16, reversed is 61)
5  52  (5 x 5 = 25, reversed is 52)
6  63  (6 x 6 = 36, reversed is 63)
7  94  (7 x 7 = 49, reversed is 94)
   so we require:
8  46  (8 x 8 = 64, reversed is 46)