Random Puzzles 

Workings

Hint
This question involves the months of the year in some way.

Answer
4 3 1.

Reasoning
This is the sequence of the length of the name of the month, and the number of days in that month.

7 3 1 = January, which has 7 letters, and 31 days.

8 2 8 = February, which has 8 letters, and 28 days.

5 3 1 = March, which has 5 letters, and 31 days.

5 3 0 = April, which has 5 letters, and 30 days.

3 3 1 = May, which has 3 letters, and 31 days.

4 3 0 = June, which has 4 letters, and 30 days.

Which means the next three digits are:

4 3 1 = July, which has 4 letters, and 31 days.

Workings

Hint
One of the words end in K. Remember that a skunk isn't a reptile, or an amphibian.

Answers
-r-g       = frog -o-t-i-e   = tortoise -n-k-      = snake -e-t       = newt -i-a-d     = lizard -r-c-d-l-  = crocodile -a-a-a-d-r = salamander -u-t-e     = turtle -k-n-      = skink a-l-g-t-r  = alligator

Workings

Hint
I bought at least 5 of every stamp.

Answer
Five lots of 2p, 7p and 15p, and six lots of 10p, and 20p.

Reasoning
The shopkeeper rightly figured that I required five lots of all of the stamps, which came to (2p + 7p + 10p + 15p + 20p) x 5 = £2.70.

For two of the stamps I needed one more of each, and these must have added to the remaining 30p, so can only have been the 10p and 20p stamps.

Workings

Hint
What numbers divide into 703?

Answer
The 37 pupils each received 19 sweets.

Reasoning
703 can only be broken down into 19 x 37, it has no other factors.