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

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

Weights

Stage: 3 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.