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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.
InstructionsTry 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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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 9 May 'Starter of the Day' page by Liz, Kuwait: "I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun." Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.: "A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?" |
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Go MathsLearning 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. Maths MapAre 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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Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. |
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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/A-level 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: x2 + x = 42
x2 + x - 42 = 0
(x + 7)(x - 6) = 0
Taking the positive answer; the smallest number is six.
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. You can double-click the 'Check' button to make it float at the bottom of your screen.
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