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Consecutive Numbers

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

Pair Sums

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

Negative Dice

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?


Age 11 to 14
Challenge Level

The largest total you can make is $20$ ($2A + 2C$).

The smallest total you can make is $-60$ ($2B + 2D$).

There are some totals that are easier to produce than others (perhaps those that require just one or two weights), so it may be a good idea to start with those and then build on them with a few extra weights.