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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 1; Adding numbers from one to an even number You can earn a trophy if you get at least 3 correct and you do this activity online.

Add up all of the numbers (one to twelve) on the clock face using a quick, efficient method. Click the Help tab if you are confused.

Correct Wrong

For her whole life Max has collected the candles on her birthday cakes. How many candles will she have collected altogether after her 16th birthday?

Correct Wrong

Karl Friedrich Gauss, was asked when he was in elementary school in the late 1700’s to find the sum of the numbers from 1 to 100. What answer did he get?

Correct Wrong

Roulette is a casino game named after the French word meaning little wheel. Can you find the sum of all the numbers on the roulette wheel from 0 to 36?

Correct Wrong

Check

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

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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 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"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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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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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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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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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:

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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.

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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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