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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.

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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.

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Cover-up

Weekly Problem 49 - 2010
When I place a triangle over a small square, or cover a larger square with the same triangle, a certain proportion of each is covered. What is the area of the triangle?

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?