Think of a Number

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.

	You are learning this because future ideas are built on previous ideas and the more ideas you learn the more power you have to learn anything, ever! The world's best football player engages in rigorous training, practicing skills repeatedly to prepare for the big game. While the specific actions rehearsed during these exercises are rarely needed in the match, the very process of performing these drills enhances their overall prowess as a top player. more...	More Activities: Maths Map Go Maths Games Puzzles Times Tables TablesMaster iPad Maths Investigations Exam Questions
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Example

Daniel says 'If I double my number and add 6 the answer is 30'

Method 1 - Work backwards

Start at the end of the sentence with the answer 30 and undo all of the operations Daniel performed on his number in reverse order.

30 minus 6 then divide by two

The number Daniel was thinking about was 12

Method 2 - Form and solve an equation

Let the number that Daniel is first thinking of be n.

2n + 6 = 30

Subtract 6 from both sides

2n = 24

Divide both sides by 2

n = 12

The number Daniel was thinking about was 12

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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\( \times 2\) \(+2\) \(24\) Cody says: 'I think of a number. I double my number and add 2 the answer is 24' What number was Cody first thinking of?	Working:
Alejandro says: 'I am also thinking of a number. If I multiply my number by 2 and add 5 the answer is 19' What number was Alejandro first thinking of?	Working:
Caden says: 'I think of a number. I multiply my number by 3 and add 2 the answer is 32' What number was Caden first thinking of?	Working:
Blake says: 'Can you guess what number I am thinking of if when I multiply it by 5 and add 3 the answer is 83?' What number was Blake first thinking of?	Working:
Carson says: 'If I divide my number by 5 and add 6 the answer is 16' What number was Carson first thinking of?	Working:
Emily says: 'If I multiply my number by 2 then add 3 then add 3 then add 4 the answer is 30' What number was Emily first thinking of?	Working:
Emma says: 'I am thinking of my favourite number. If I add 4 to my number then divide the result by 2, the answer is 7' What number was Emma first thinking of?	Working:
Madison says: 'My plan was to add 6 to my number then multiply the result by 6. Then I multiplied the result by 6 and finally subtracted 6. The answer is 678' What number was Madison first thinking of?	Working:
Abigail says: 'I decided to add 3 to my number then multiply the result by 3, After that I subtracted 5 then doubled the result. The answer is 56' What number was Abigail first thinking of?	Working:
Olivia says: 'If I multiply my number by 5 and subtract 2 then multiply the result by 2, the answer is 3 less than 119' What number was Olivia first thinking of?	Working:

Think of a Number

Ten students think of a number then perform various operations on that number. You have to find what the original numbers were.

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Instructions

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Jugs

Answers

Go Maths

Maths Map

Teachers

Description of Levels

Curriculum Reference

Example

Method 1 - Work backwards

Method 2 - Form and solve an equation