Product SquareArrange the given numbers in a three by three grid to obtain the diagonal, row and column products. 
Drag the numbers into the yellow cells to make the given row, column and diagonal products.
The numbers in the yellow circles have been calculated by multiplying the three numbers in the cells that the arrows points to. Three numbers have already been placed on the grid.
Congratulations!
Claim your trophy by clicking on the red button
below.
Are there any other ways to make this product square using these numbers?
Your answer is not correct.
The products of each row, column and diagonal should be as given. Try again.
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9
This is Product Square level 5. You can also
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Level 1
Level 2
Level 3
Level 4
Level 6
Level 7
Level 8


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 October 'Starter of the Day' page by E Pollard, Huddersfield: "I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information." Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College: "Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities. 
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. 

Numeracy"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables." Secondary National Strategy, Mathematics at key stage 3 

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 site at Transum.info that contains 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. 
A number is divisible by 2 if its last digit is even (0,2,4,6 or 8)
A number is divisible by 3 if the sum of its digits is divisible by 3.
A number is divisible by 4 if the number's last two digits are divisible by 4.
A number is divisible by 5 if its last digit is a 0 or 5.
A number is divisible by 6 if it is divisible by 2 and 3 (see rules above).
A number is divisible by 7 if 5 times the last digit added to the number made from the other digits is divisible by 7.
A number is divisible by 8 if the last three digits form a number that is divisible 8.
A number is divisible by 9 if the sum of the digits is divisible by 9.
A number is divisible by 10 if its last digit is 0.
A number is divisible by 11 if the alternating sum of its digits is divisible by 11. Alternating sum means ab+cd+... – m
A number is divisible by 12 if it is divisible by 3 and 4.
The projectable version of the divisibility tests can be found here: Divisibility Tests 212
There is a printable worksheet to go with this activity.
The divisibility test for 7 is thanks to a 12year old pupil, Chika Ofili, from Westminster School. You can read more about it here.
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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