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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?

Sum One Special

Stage: 3 Short Challenge Level: Challenge Level:1
6, -3, -2

As the sum of the integers is 1, it is clear that at least one of them is negative. Their product is positive so it may be deduced that exactly two of the integers are negative. Now we need to find three factors of 36 such that the largest is 1 greater than the sum of the other two. These are 6, 3 and 2.

This problem is taken from the UKMT Mathematical Challenges.

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