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:
4, 7, 9, 9, 10, 11, 12, 14, 15, 17.
Type in your answers in order from smallest to largest.
This is Pentadd Quiz level 1. You can also try:
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 



Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." 
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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?""