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.

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 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Featured Activity

Pentransum

Pentransum

Answer multiple choice questions about basic mathematical ideas. If you get a number of questions correct you will be invited to post a question of your own. The bank of questions grows larger every day.

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."

Braden,

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."

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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