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Consecutive Numbers

Find the consective numbers that are added or multiplied to give the given totals.

Level 1 Level 2 Description of Levels Examples More Number More Algebra

Consecutive Numbers are numbers which follow each other in order; for example 7,8,9,10. For this exercise all answers are positive numbers.

Three consecutive numbers added together give the answer twenty four. What is the smallest of those numbers?

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Three consecutive numbers added together give the answer fifteen. What is the smallest of those numbers?

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Three consecutive numbers added together give the answer twenty seven. What is the smallest of those numbers?

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Five consecutive numbers added together give the answer ninety. What is the smallest of those numbers?

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Five consecutive numbers added together give the answer sixty five. What is the smallest of those numbers?

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The largest of five consecutive numbers is one hundred and seventy seven. What is the smallest of those numbers?

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The largest of five consecutive numbers is seventeen. What is the sum of those numbers?

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The largest of ten consecutive numbers is thirty eight. What is the sum of those numbers?

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Seven consecutive even numbers add up to two hundred and sixty six. What is the smallest of those numbers?

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Four consecutive odd numbers have a mean of thirty two. What is the smallest of those numbers?

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This is Consecutive Numbers level 1. You can also try:

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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Description of Levels

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Level 1 - Questions about the addition of consecutive numbers

Level 2 - Questions about the multiplication of consecutive numbers

Example 1

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.

Example 2

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.

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