Consecutive NumbersFind the consective numbers that are added or multiplied to give the given totals. 
Consecutive Numbers are numbers which follow each other in order; for example 7,8,9,10. For this exercise all answers are positive numbers.
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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! Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy: "I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson." 
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Level 1  Questions about the addition of consecutive numbers
Level 2  Questions about the multiplication of consecutive numbers
Exam Style questions are in the style of GCSE or IB/Alevel exam paper questions and worked solutions are available for Transum subscribers.
More on this topic including lesson Starters, visual aids and investigations.
Three consecutive numbers added together give the answer thirty three. What is the smallest of those numbers?
Let the smallest number be x.
The other two numbers can be written as x+1 and x+2.
The sum of the three numbers is x + x+1 + x+2 = 33
Simplifying this equation gives 3x + 3 = 33
Subtract three from both sides: 3x = 30
Divide both sides by three gives: x = 10
So the smallest number is ten.
Two consecutive numbers multiplied together give the answer forty two. What is the smallest of those numbers?
Let the smallest number be x.
The other number can be written as x+1.
The product of the numbers is x(x+1) = 42
Expanding the brackets gives: x^{2} + x = 42
x^{2} + x  42 = 0
(x + 7)(x  6) = 0
Taking the positive answer; the smallest number is six.
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