# Make an Expression

## A challenge to use the available digits to form an expression with a value equal to the given total

This is level 5: mixed questions You will be awarded a trophy if you get at least 9 correct and you do this activity online.

 Using all of the digits 2,3,4 and 5 to make an expression for: 49 Using all of the digits 1,2,3 and 4 to make an expression for: 50 Using all of the digits 1, 3 and 4 to make an expression for: 42 Using all of the digits 1, 4 and 5 to make an expression for: 20 Using all of the digits 2,3,5 and 6 to make an expression for: 69 Using all of the digits 2,3,5 and 6 to make an expression for: 24 Using all of the digits 2,3,5,6,7 to make an expression for: 60 Using all of the digits 1,3,5,6,7 to make an expression for: 814 Using all of the digits 2,3,4,6,7 to make an expression for: 4 Using all of the digits 2,4,6,7,8,9 to make an expression for: 65 Using all of the digits 1,3,5,6,7,8 to make an expression for: 821 Using all of the digits 1,2,4,5,6,7 to make an expression for: -32
Check

This is Make an Expression level 5. You can also try:
Level 1 Level 2 Level 3 Level 4

## 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.

## More Activities:

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 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

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!
Thanks"

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A mathematical adventure game in the enigmatic home of Transum. Create your own map as you go deeper and deeper into this maze of rooms looking for the clues to find the treasure room.

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## Go Maths

Learning 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 Map

Are 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.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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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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Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=219

© Transum Mathematics :: This activity can be found online at:
www.transum.org/software/SW/Starter_of_the_day/Students/Make_An_Expression.asp?Level=5

## Description of Levels

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Level 1 - Use all of the digits 1 to 4 to form expressions with totals 1 - 12.

Level 2 - Use all of the digits 1 to 4 to form expressions with totals 13 - 24.

Level 3 - Use all of the digits 1 to 4 to form expressions with totals 25 - 36.

Level 4 - Use all of the digits 1 to 4 to form expressions with totals 37 - 48.

Level 5 - Mixed Questions

Advanced - For this advanced challenge you cannot concatenate digits (you can't put 2 and 3 together to make 23) but you can use exponentials and factorials.

The 12 Ways of Christmas - A special festive variation of the Make an Expression challenge.

CentExpression - Find an expression for 100 using the digits 1 to 9

One Digit Only - Find expressions for target numbers using repeated digits.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Help

The idea is to make correct mathematical expressions using all of the given digits to equal the target numbers. Click the blue buttons in the order you wish to see their values in the expressions. Press the C button to clear the expression and start again.

Here is an example of a correct expression for the target 11.

This Numberphile video of the four 4s problem might give you some ideas!

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.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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