St Colman's Boys' School, Kanturk.
Percival St.,Kanturk, Co.Cork
​Eircode : P51NW14
Tel : 029 50768
Email : office@kanturkbns.com
Twitter: @colmansbns
Principal : Eilish Finnegan
  • Home
  • 1st & 2nd Class Blog
  • 3rd Class Blog
  • 4th Class Blog
  • 5th Class Blog
  • 6th Class Blog
  • Photo Gallery 2020 / 2021
  • Newsletters, Policies, Plans
  • St Colman's YouTube Videos
  • St Colman's Podcasts
  • St Colman's Powerpoints & Presentations
  • Useful Links
  • Kids' Zone
  • Parents' Area
  • Theme Pages
  • Local History - Kanturk & the Surrounding Areas
  • December Theme Page
  • Internet Safety
  • Green Schools
  • Contact Us
  • School Archives
  • School Calendar 2020 / 2021
  • Tools, Apps and Websites to support Blended Online ​Learning
  • Reopening Our School
  • Dream Space TV
  • Science Week 2020

Maths Puzzle

14/1/2014

17 Comments

 
Today's Maths Puzzle came from Miss McAndrew's Class on twitter. See if you are a GENIUS!
Picture
17 Comments
ashvin
24/10/2014 05:19:51 am

answer
3=9

Reply
hari
26/12/2014 05:26:55 am

no itsc 12

Reply
ashvin
24/10/2014 05:20:19 am

answer
3=9

Reply
zeyda
2/2/2015 05:28:32 pm

3=15

Reply
karthika
3/2/2015 02:28:15 am

ans =6

Reply
karthika
3/2/2015 02:30:14 am

3*3=9 ,9-3=6 so ans 6

Reply
sunil
10/8/2015 10:42:12 am

3=5

Reply
maya devi
25/9/2015 11:49:26 am

8*(8-1)=56
7*(7-1)=42


3*(3-1)=6

Reply
maria
6/10/2015 10:29:21 pm

8=56 7=42 6=30 5=20 4=12 3=6

Reply
pratik
9/10/2015 11:15:02 am

6

Reply
susheela
14/10/2015 01:04:26 pm

3=15

Reply
MADHURI
24/10/2015 06:50:46 am

3=4

Reply
DARSH
10/11/2015 07:58:21 am

ANS 6

Reply
jurgen colman
26/12/2015 08:33:27 pm

3=6

Reply
Angel
5/1/2016 09:04:31 am

It turns out that the '?' can be whatever we want it to be!

Allow me to illustrate. Take for example, f(x)=(1/40)x^4-(13/20)x^3+(291/40)x^2-(553/20)x+42, and evaluate f(8), f(7), f(6), f(5), f(3). It turns out that:

f(8)=56,
f(7)=42,
f(6)=30,
f(5)=20,
f(3)=9.

Wait, what sorcery is this? Turns out that although the popular rule f(x)=x(x-1), which gives f(x)=6, satisfies the known values in the sequence, that f(x)=(1/40)x^4-(13/20)x^3+(291/40)x^2-(553/20)x+42 also satisfies them--except with a different value of f(3)!

Here's another one that also works but gives f(3)=12:
f(x)=(1/20)x^4-(13/10)x^3+(271/20)x^2-(543/10)x+84

And here is one where f(3)=π
f(x)=(1/120)(π-6)x^4-(13/60)(π-6)x^3+(1/120)(251π-1386)x^2+(1/60)(3138-533π)x+14(π-6)

Finally, in general if you want the '?'=k, i.e., f(3)=k where k is the value of your choice, then
(1/120)(k-6)x^4-(13/60)(k-6)x^3+(1/120)(251k-1386)x^2+(1/60)(3138-533k)x+14(k-6)

More details here:
https://www.scribd.com/doc/260182194/Elementary-Sequences

For a non-polynomial rule see here:
http://i.imgur.com/BHkg0Ad.png

Reply
tanuja
1/5/2016 08:06:13 am

Its 6

Reply
Piyush nishad
23/12/2016 06:09:04 am

3=9

Reply

Your comment will be posted after it is approved.


Leave a Reply.

    6th Class
    2020/ 2021

    Picture

    Authors

    Mrs O' Sullivan
    6th Class Boys



    Class Resources


    The Christmas Shed
    ​
    Christmas FM
    ​
    The Snow Queen
    ​
    The Christmas Story
    ​
    Quest for the Jingle


    Good Night Mr Tom

    Chapter 1
    Chapter 2
    Chapter 3
    Chapter 4
    Chapter 5
    Chapter 6
    Chapter 7
    Chapter 8
    Chapter 9
    Chapter 10
    Chapter 11
    Chapter 12
    Chapter 13
    Chapter 14
    Chapter 15
    Chapter 16
    Chapter 17
    Chapter 18
    Chapter 19
    Chapter 20
    Chapter 21
    Chapter 22
    Chapter 23



    Our 100WC Class Blog

    Picture

    ​Log in


    100WC

    Picture

    The Boy in the Striped Pyjamas
    PDF

    Audio :

    Chapter 1
    Chapter 2
    Chapter 3
    Chapter 4
    Chapter 5
    Chapter 6
    Chapter 7
    Chapter 8
    Chapter 9
    ​Chapter 10
    ​Chapter 11
    ​Chapter 12
    ​Chapter 13
    ​Chapter 14
    ​Chapter 15
    ​Chapter 16
    Chapter 17
    Chapter 18

    Chapter 19
    ​Chapter 20


    Answer Books

    New Wave Mental Maths 6th Class
    File Size: 1843 kb
    File Type: pdf
    Download File

    English in Practice 6th Class
    File Size: 1086 kb
    File Type: pdf
    Download File


    Picture

    Picture

    Picture

    Picture

    Kahoot


    Picture

    Mangahigh LOG in


    World Book ​


    Commonly Misspelt Words
    Spelling Test


    Classic FM


    Daily 10 -  Mental Maths


    Go Noodle


    Dabbledoo Music


    Cúla4 TG4



    Our Nightzookeeper Class Blog

    Picture


    Operation Transformation
    ​ 10@10



    Online English Dictionary

    Online Irish Dictionary
    Tables Challenge
    Tables Test
    Online Stop Watch
    Hour of Code

    MrRussell's
    Class Radio




Powered by Create your own unique website with customizable templates.