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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?

9 Weights

Stage: 3 Challenge Level: Challenge Level:1

For the first part of the question, what can you say about the weights on the platform that goes down?
If it balances, what can you say about the weights that haven't been placed on the balance?

For the last part, try to ensure that whatever the outcome of a weighing, you learn a lot about the weights.