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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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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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Negative Dice

Weekly Problem 16 - 2012
If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Pros and Cons

Stage: 3 Short Challenge Level: Challenge Level:1
Both p and -q are positive numbers. Hence p + (-q) is the largest of the alternatives.

This problem is taken from the UKMT Mathematical Challenges.