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Counting on Letters

The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?

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Pair Sums

Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

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Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

Cayley

Stage: 3 Challenge Level: Challenge Level:1

Surprisingly enough, the letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?

C A U C H Y
C A U C H Y
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E U C L I D

The words are the names of three famous mathematicians. What countries did these mathematicians come from, when did they live and what is the main thing that are they famous for? There are many good websites about the history of mathematics where you can find the answers to these questions. For example, Google gives you a large number of links if you search for " history of maths ".