BIDMASA self marking exercise testing the application of BIDMAS, an acronym describing the order of operations used when evaluating expressions. 
This is level 5; Find the number that exploded in each of these calculations. You can earn a trophy if you get at least 9 correct and you do this activity online.
This is BIDMAS level 5. You can also try:
Level 1
Level 2
Level 3
Level 4
Two explosions in one question represent the same exploded number. However for a couple of the questions above there is more than one correct answer. As this is not an exercise in solving equations both solutions are not required. Either of the correct answers will be accepted.
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. 



Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
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 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk: "Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!" 
Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing. Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page. 

AnswersThere are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy adfree access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe 

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.  
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: 
Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes. 
It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror sites at Transum.com and Transum.info that contain most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B! 
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. 
© Transum Mathematics 19972022
Scan the QR code below to visit the online version of this activity.
https://Transum.org/go/?Num=225
Close
Level 1  Click on the operations in the correct order.
Level 2  Evaluate the simple expressions using the correct order of operations.
Level 3  Drag the brackets onto the calculations to make them correct.
Level 4  Evaluate the harder expressions using the correct order of operations.
Level 5  Find the number that exploded in each of these calculations.
Missing Operations  Try this Starter of the Day and decide what mathematical operations are required.
Misconception  A video explaining a BIDMAS problem which went viral on Twitter.
X Divided by 2Y  A Maths Lesson Starter based on the BIDMAS misconception.
BIDMAS Game  A game for two or more players making BIDMAS calculations to claim squares on a grid.
Barmy BIDMAS  An Advanced Lesson Starter about a misleading way of stating the answer to a simple calculation.
Don't wait until you have finished the exercises 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 doubleclick the 'Check' button to make it float at the bottom of your screen.
BIDMAS is an acronym reminding pupils of the order of operation used when evaluating expressions involving a number of different operations. The letters of BIDMAS stand for:
When only addition and subtraction (or only multiplication and division) are left in an expression you should work them out in the order you find them, starting from the left and working towards the right. The blue image of the letters above has been designed to show that multiplication and division have the same importance as the letter M is in the same position as the letter D. The same can be said for the letters A and S.
For example, to evaluate the expression 3^{2} + 5 x 7  (4  3)
Work out the brackets first which gives 3^{2} + 5 x 7  1
Then the indices 9 + 5 x 7  1
Then the multiplication 9 + 35  1
Then the addition and subtraction in the order they are given
The answer is 43
PEMDAS is an alternative acronym.
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 doubleclick 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.
Close
Kai,
Monday, March 20, 2017
"Knowing BIDMAS may help you win prizes in game shows!
"
Transum,
Thursday, June 13, 2019
"I have just noticed something I hadn’t realised about the Windows calculator. When running in standard mode it operates LTR (2+3x5=25) while in scientific mode it obeys the normal order of operations (2+3x5=17). Worth knowing when learning about BIDMAS or PEMDAS
"Dave Grochocki, Twitter
Sunday, June 16, 2019