Transum Software

Product Square

Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Help More

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. One number has already been placed on the grid.

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Claim your trophy by clicking on the red button below.
Are there any other ways to make this product square using these numbers?

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Your answer is not correct.

The products of each row, column and diagonal should be as given. Try again.

1

2

3

4

5

6

7

8

9

This is Product Square level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 8

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This 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.

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Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

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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Newsletter

Newsletter

The Transum Newsletter for December 2024 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

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 Maths

Learning 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:

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Divisibility Tests:

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 a-b+c-d+... – 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 2-12

There is a printable worksheet to go with this activity.

Worksheet

The divisibility test for 7 is thanks to a 12-year 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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