🎂 
🥁 
😯 ROW SUM15 
😯 
🎂 
🎂 ROW SUM12 
😯 COLUMN SUM9 
😯 COLUMN SUM15 
🥁 ROW SUM12 COLUMN SUM15 


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 9 October 'Starter of the Day' page by Mr Jones, Wales: "I think that having a starter of the day helps improve maths in general. My pupils say they love them!!!" Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales: "Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!" 
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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.  
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© 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."