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Pentadd Quiz - Level 1

Find the five numbers which when added or multiplied together in pairs to produce the given totals.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10 Description

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, 6, 9, 9, 10, 12, 13, 13, 14, 17.

Type in your answers in order from smallest to largest.

Correct Wrong Correct Wrong Correct Wrong Correct Wrong Correct Wrong
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This is Pentadd Quiz level 1. You can also try:

Instructions

Try 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.

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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?""

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Description of Levels

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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

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