Prize Puzzle Competition 1

1.Mr Kitto was exactly 5 years older than his wife and they had two children, who were twins and went to the local comprehensive school.
One evening, one of the twins (who had just been given a calculator) announced that if you multiplied together the parents' ages, and then added together the twins' ages, and divided one result by another, the answer was 57 exactly.

How old was Mr Kitto?

2.At a recent athletics meeting, five old acquaintances: Fred, Greta, Hans, Iolo and Jan met together for the first time since leaving college, so they had a lot of news to catch up on.
It seemed they all lived in different towns: Acton, Buswick, Coalford, Derby and Eccles; and that they all had different jobs which were, in no particular order: an engineer, a lawyer, a teacher, a doctor and a shopkeeper.
To round it off, each one was the winner in just one event at the meeting. These were: 100 metres, 400 metres, 1500 metres, High Jump and Javelin.
The following facts were also known:
1. Hans the shopkeeper from Derby won the High Jump.
2. The lawyer was from Eccles and said he was not a runner.
3. Greta was P.E. teacher from Buswick and won the 1500 metres
4. The doctor, who came from Acton, did not win the 100 metres.
5. The person from Derby was not an engineer.
6. Iolo was an engineer from Coalford and did not win the 400 metres.
7. Jan was not a lawyer, but did win the the 400 metres.
8. Fred did not come from Acton and was not a runner.

(a) Which event did the person from Coalford win?
(b) Which town did Jan come from?
(c) What was the name of the lawyer?
(d) Which event did the engineer win?
(e) Which event did Fred win?

3.The diagram represents a small sheet of 12 postage stamps, as they are usually sold, all perforated at the edges and all of the same value. (The letters are only there to identify the separate stamps).
You need 4 of the stamps in order to post a letter but would like all 4 to be properly joined together at their edges (not at their corners). For example: ABCD, EFGH, JKLM, FGHL would all do, but NOT EFLM.

In how many different ways can you get such a group of 4?
(Only the number of ways is required, not a listing)


The answers to each competition can be found on the next competition page.