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💥 ROW SUM48 |
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😯 ROW SUM40 |
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🔷 ROW SUM63 |
💥 COLUMN SUM41 |
🌹 COLUMN SUM54 |
💥 COLUMN SUM42 |
🌹 ROW SUM34 COLUMN SUM48 |
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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 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks." Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.: "A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?" |
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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 ad-free 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 |
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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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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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© 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 don’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 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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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."
Wesley Primary, Twitter
Saturday, June 11, 2022
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