Quick Add 'Em QuizA quiz for use with the February 26^{th} Starter of The Day. Add up a range of numbers using a quick method. 
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.
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https://www.Transum.org/go/?Num=297
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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
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See the National Curriculum page for links to related online activities and resources.
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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Transum,
Thursday, February 26, 2015
"This exercise is a followon 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."