🦶 
📗 
⚽ 
☕ ROW SUM19 
🦶 
⚽ 
🦶 
⚽ ROW SUM10 
🦶 
⚽ 
📗 
🦶 ROW SUM13 
⚽ COLUMN SUM9 
☕ COLUMN SUM20 
📗 COLUMN SUM17 
📗 ROW SUM23 COLUMN SUM19 


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. 
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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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College: "Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work" Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" 
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 main page links to more activities designed for students in upper Secondary/High school.  
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 :: This activity can be found online at:
www.Transum.org/go/?Num=906
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Sum of the Signs  A much easier puzzle if you are finding Unbeknownst too difficult.
Level 1  3 unknowns. Solution could start with 2 simultaneous equations
Level 2  4 unknowns. Solution could start with 2 simultaneous equations
Level 3  4 unknowns. Solution could start with 3 simultaneous equations
Level 4  4 unknowns. Solution could start with 4 simultaneous equations
Level 5  5 unknowns. Solution could start with 4 simultaneous equations
Simultaneous Equations  You can practice solving simultaneous equations with this set of exercises.
More Puzzles  For more challenges and the opportunity to collect more trophies.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
You will need pen or pencil and paper to do some working out.
The puzzles can be solved using algebra. Here is an example:
Let s represent the value of the star.
Let b represent the value of the ball.
Let f represent the value of the flower.
From the bottom row f + 2s = 16
From the centre column 2f + s = 17
You now have two simultaneous equations. Double the first equation to give a third:
2f + 4s = 32
Subtract the second equation from the third:
3s = 15
Divide both sides of this equation by 3.
s = 5
So the value of the star is 5 and this can be sudstituted in the first equation.
f + 2 × 5 = 16
f + 10 = 16
f = 6
So the value of the flower is 6
These two values can be substituted into an equation obtained from the first row to find that the value of the ball is 7.
You can practice solving simultaneous equations here: https://Transum.org/go/?Num=100.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™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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Ann, London
Monday, May 3, 2021
"Window View is another fabulous Transum activity for creating and solving Simultaneous Equations with only two variables:
https://transum.org/go/?Num=214."