Pair Sums

I can make all the totals except for zero.
I can make each total in just one way.

The numbers are -1, 1, 3, 5 and 10

This solution was submitted by Sarah from Archbishop Sancroft High School:

The numbers are -1, 1, 3, 5 and 10

-1 + 1 = 0

3 + (-1) = 2

3 + 1 = 4

5 + (-1) = 4

5 + 1 = 6

5 + 3 = 8

10 + (-1) = 9

10 + 1 = 11

10 + 3 = 13

10 + 5 = 15

 

Solutions were also received from Rachel (West Flegg Middle School), and from Luke and Ian.