# Delightfully Divisible

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## Transum.org

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.

## More Activities:

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 17 November 'Starter of the Day' page by Amy Thay, Coventry:

"Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils.
Thanks again"

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

#### Roman Numerals Quiz

You may understand our number system better by learning about another number system. A basic knowledge of Roman numerals will allow you to complete level one of this self marking quiz. Beyond level one will require a little more!

## 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:

Benji, T

Friday, July 22, 2016

"FINALLY completed in 7 weeks."

Aaron Ku,

Thursday, September 7, 2017

"Hello, I'm a child named Aaron Ku and I am in 6th grade and I have been on your website and solved many fun puzzle. Although there is one puzzle that always troubles me. It's the Delightfully divisible puzzle. I would be most grateful if you could tell me the answer as soon as possible.Thanks"

Transum,

Thursday, September 7, 2017

"Dear Aaron. I am not surprised that you have asked for help as it is quite a difficult puzzle.

It would be no fun if I simply told you the answer but I could give you a clue.

Firstly here are some quick ways of determining if a number is divisible by the numbers in the question:

- 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 the 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).
- There is no simple test for divisibility by seven, you need to do the division and check there is no remainder!
- 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.

Secondly, the first digit is a three!

Good Luck."

Friday, October 13, 2017

"This was really hard for me it took me 4 hours total to complete it and now going to try to solve it a different way."

Transum,

Saturday, February 17, 2018

"One method of finding a solution to a puzzle in which the digits one to nine have to be arranged in a particular formation is by trying every different permutation. This strategy however is very time consuming. Even if it only took one second to arrange the numbers and check whether a solution has been found, you would need to allow over one hundred hours to complete the task!

Developing a strategy with some insight or consideration of the number patterns might be a better course of action. Good Luck! "

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.

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