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Maths Challenge 2000 Round 1
This was the Maths Challenge for the Year 2000

1. Six train stations lie at equal distance from each other along the railway line. How much further is it from the first to the sixth, than from the first to the third?

2. Six coins are arranged on a flat surface as shown in figure A.
The problem is to move the coins into the same formation as figure B.
Each move consists of sliding a coin without disturbing any of the other coins to a new position in which it touches two other coins.
The coins must remain flat on the surface at all times.
You must draw some diagrams to show how to complete the puzzle.

3. A balance has only two weights, 1 gramme and 4 grammes. In three weighings split 180 ounces of sugar into two packages of 40 and 140 grammes.

4. There are three ordinary playing cards in a row. A diamond is on the left of a spade, (although not necessarily next to it); an Eight is next to and on the right of a King; a Ten is next to and on the left of a heart; a heart is next to and on the left of a spade.
What are the three cards, and how are they positioned?

5. What is the largest value that you cannot make using 8p and 9p stamps?
You have an unlimited supply of each.

Click here to find out the answers

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