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Pentadd Quiz - Level 7

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 7; Your computer is thinking of five whole numbers and halves. Can you work out what they are?

When the five numbers are added in pairs the totals are:

3.5, 9, 10.5, 11.5, 13, 13.5, 15, 18.5, 20.5, 23.

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 7. 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.

Why am I learning this?

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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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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?""

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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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