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

Level 1Level 2Level 3DescriptionHelpMore 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 411+2+3+... 41 Add up the numbers 1 to 531+2+3+... 53 Add up the numbers 1 to 711+2+3+... 71 Add up the numbers 1 to 811+2+3+... 81
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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.

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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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For Students:

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

https://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 donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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!!!

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