Transum Software

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:

6, 8, 9, 10, 11, 12, 13, 14, 16, 17.

Type in your answers in order from smallest to largest.

Correct Wrong Correct Wrong Correct Wrong Correct Wrong Correct Wrong
Check

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.

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 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

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Featured Activity

Number Crunch Saga

Number Crunch Saga

A lively numeracy game requiring you to align three numbers to create the given target sum or product. There are five levels to this online game and a virtual Transum Trophy available for each level.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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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.

Teachers

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Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

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

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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