Divisibility TestPractise using the quick ways to spot whether a number is divisible by the digits 2 to 9. 
Tick boxes to show where the black number is exactly divisible by the red number.
Tick the box in the 'None' column if the black number is not divisible by any of the red numbers.
If you are confident with this concept try the Delightfully Divisible challenge.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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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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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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Matrix simulation redesigned by Arunkumar Gudelli
Transum,
Saturday, October 27, 2018
"Type a four digit number on to your calculator. The keys used to type in this number must form a rectangle. Each digit should be one of the corners of this rectangle and you can work your way around this rectangle either clockwise or anticlockwise starting at any corner of the rectangle.
After you have created many fourdigit numbers using this method you should see that all of the numbers have something in common. They are all divisible by the same prime number. What is that prime number? "