Pentadd Quiz  Level 1Find the five numbers which when added or multiplied together in pairs to produce the given totals. 
This is level 1; Your computer is thinking of five positive integers between 1 and 10. Can you work out what they are?
When the five numbers are added in pairs the totals are:
5, 8, 9, 10, 11, 12, 13, 14, 16, 18.
Type in your answers in order from smallest to largest.
This is Pentadd Quiz level 1. You can also try:
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Level 1  Positive integers between 1 and 10
Level 2  Positive integers between 1 and 20
Level 3  Positive integers between 1 and 50
Level 4  Positive integers between 1 and 100
Level 5  Integers between 9 and 9
Level 6  Integers between 99 and 99
Level 7  Whole numbers and halves
Level 8  Decimals
Level 9  Positive integers between 1 and 10 and products are calculated
Level 10  Positive integers between 1 and 100 and products are calculated
Transum,
Monday, May 10, 2021
"The final question on the 2021 Junior Maths Challenge paper from the UK Mathematics Trust was "I choose four different integers. When I add all the pairs of these numbers in turn, the totals that I obtain are 23, 26, 29, 32 and 35, with one of these totals being repeated.
What is the largest of the four integers?""