Transum Software

Quick Add 'Em Quiz

A quiz for use with the February 26th Starter of The Day. Add up a range of numbers using a quick method.

Level 1 Level 2 Level 3 Description Help More Sequences

This is level 2; Adding numbers from one to an odd number You can earn a trophy if you get at least 3 correct and you do this activity online.

Add up the numbers 1 to 43

1+2+3+... 43

Correct Wrong

Add up the numbers 1 to 55

1+2+3+... 55

Correct Wrong

Add up the numbers 1 to 75

1+2+3+... 75

Correct Wrong

Add up the numbers 1 to 83

1+2+3+... 83

Correct Wrong

Check

This is Quick Add 'Em Quiz level 2. You can also try:
Level 1 Level 3

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 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex:

"This website was brilliant. My class and I really enjoy doing the activites."

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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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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.

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Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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.

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Transum,

Thursday, February 26, 2015

"This exercise is a follow-on activity from the Starter Of The Day of the same name. It is intended to refine the quick method and adding up numbers once the trick has been learned. It makes a good introduction to finding a general formula for the sum of any arithmetic series."

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Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=297

Description of Levels

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Level 1 - Adding numbers from one to an even number

Level 2 - Adding numbers from one to an odd number

Level 3 - Adding a miscellaneous range of numbers

More Sequences including lesson Starters, visual aids, investigations and self-marking exercises.

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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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Help

This is a very slow way to add together the numbers from one to ten:

1+2+3+4+5+6+7+8+9+10

It is much more efficient if you think of the numbers in pairs like this:

[1+10], [2+9], [3+8], [4+7] and [5+6]

There are five pairs and each pair adds up to eleven so the total is:

5 × 11

= 55

An animated visualisation of this technique can be seen by pressing the 'Show a hint' button on the 26th February Starter of the Day page.

The general formula for finding the sum of a sequence of numbers is to find the number of terms, multiply it by the first term added to the last term and then divide the answer by two.

This is the formula for an arithmetic sequence, one in which the difference between consecutive terms is always the same.

This formula does not apply to the last question in Level 3!!!

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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