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Consecutive Numbers

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

Have You Got It?

Can you explain the strategy for winning this game with any target?

Pair Sums

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

Almost One

Age 11 to 14 Challenge Level:

You could begin by choosing a fraction bigger than $\frac{1}{2}$ and adding on smaller fractions to get close to 1.

You could approximate each fraction to fractions that you are familiar with (with small denominators) and then use your approximations to estimate possible sums.

It is often easiest to add fractions when they have the same denominator...