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# A message from Patrick- 6th May 2020

Hello there!

Today I am going to put a number of maths puzzles here and you can all answer in the comments. Unfortunately, no gave there own one yesterday! I will put the challenges you make on this blog as long as you send them to me. Otherwise, I am happy to make my own (they are very fun to make).

I am thinking of a number:

• It is a three digit number
• It is less than the product of 8 and 25 (8×25)
• It is a square number (eg. 2×2=4, 4×4=16, 9×9=81, 15×15=225…)
• The factors of this number are prime numbers themselves (please comment what the definition of a primer number is)
• All three of its digits add up to more than 5

That one is very difficult. To make it even more challenging- YOU ONLY GET TWO GUESSES so you should check your answers and make sure it is right before you post in the comments!

Also:

How many triangles can you see?

You get as many guesses as you want for this one but I will only answer ‘correct’ or ‘incorrect’. No hints!

If you have any questions then as always please comment below or email me! I can give feedback on the writing competition plans or writing in general and I would love to see any extra work you have been doing so please send them as well!

Speak soon,

Patrick

www.purplemash.com/sch/west-n15

www.westgreen.haringey.sch.uk/free-books-for-you/

www.westgreen.haringey.sch.uk/home-learning/

www.mymaths.co.uk/

www.ttrockstars.com

www.westgreen.haringey.sch.uk/computing/

www.westgreen.haringey.sch.uk/staying-fit-healthy-and-active/

www.westgreen.haringey.sch.uk/year-5-and-6/

Previous blog posts:

www.westgreen.haringey.sch.uk/blog/

• Davmie says:

A prime number (or prime) is a natural number greater than 1 that has no other Factors other than 1 and itself.

And are there 5 triangles?

• Patrick Creane says:

Good job Davmie- I like that definition.

Have a good think about the number. Maybe make a list of possibilities like we did in class and get rid of the ones that it couldn’t be.

As for the triangles, unfortunately 5 is incorrect.

• Patrick Creane says:

Would you be able to give me some examples of prime numbers as well?

• Patrick Creane says:

Start with the square numbers as that will give you few options to eliminate

• Davmie says:

There are 7 triangles?

prime numbers:

2, 3, 5, 7, 9, 11, 13, 17, 19, 23,?

and just realized the prime numbers are odd but only the 2 is even.

• Patrick Creane says:

9 is not a square number as it has more than 2 factors: 9. 1 and 3

The rest are correct though! Good job!

• Patrick Creane says:

7 is incorrect

• Davmie says:

Is the numbers 100,121, 144?

• Davmie says:

I mean the square numbers*

• Patrick Creane says:

There is only one answer remember Davmie! You also only get two guesses so try to narrow it down!

• Sophia says:

There are four triangles.

• Patrick Creane says:

Unfortunately not Sophia! I’m going to post it again tomorrow so we will have extra time!

• abdulhalim says:

there are 10 triangles

• Patrick Creane says:

That is not correct Abdulhalim.

• weda says:

5 triangle

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