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As Easy as 1,2,3

When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type 'TWO' it returns 2, and so on.

Mathland Election

A political commentator summed up an election result. Given that there were just four candidates and that the figures quoted were exact find the number of votes polled for each candidate.

John's Train Is on Time

Age 11 to 14 Challenge Level:
A train leaves the station on time. After it has gone 8 miles the driver looks at his watch and sees that the hour hand is exactly over the minute hand.

The average speed of the train over the 8 miles was 33mph.

When did the train leave the station?