It is currently Fri Jan 19, 2018 2:00 am

 All times are UTC

 Page 1 of 1 [ 9 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: Maths question help pleasePosted: Thu Jul 23, 2015 3:20 pm

Joined: Thu Jul 23, 2015 3:16 pm
Posts: 2
Can anyone help with this please - is there a formula that makes this easy to work out? The question is:
Rangers and Celtic are playing a football math. There are 5 goals scored at the end and Rangers win. How many different half time scores are the?

Top

 Post subject: Re: Maths question help pleasePosted: Thu Jul 23, 2015 4:58 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 13994
You are better working logically than trying to remember a formula.

Top

 Post subject: Re: Maths question help pleasePosted: Fri Jul 24, 2015 12:09 pm

Joined: Tue Jul 21, 2009 9:56 pm
Posts: 8542
Thinking aloud. At the end the scores can be 5 0, 4 1, 3 2

So part way through the game, if end score was 5 0 possibilities are 0 0 , 1 0, 2 0, 3 0, 4 0

If end score was 4 1, part way through the possibilities could end with a 1 or a 0 ..... so quite a few to work through

If end score was 3 3 score could end with a 3 2 1 or 0 so even more to work through.

I suppose something a bit like a decision tree might help a child set out all the different possibilities logically?

It's getting a child to the point where they can think through all the possibilities logically and set them out that is the tricky thing here ...... to have a method which covers all the options rather than them just stabbing in the dark at a few of the options.

It's a good question. It's the kind of thing my daughter needs practice with. She'd get upset because it was football and say she knew nothing about football.

Top

 Post subject: Re: Maths question help pleasePosted: Fri Jul 24, 2015 12:16 pm

Joined: Mon Jun 18, 2007 2:32 pm
Posts: 7138
Location: East Kent
Diagrams and/or jottings really help too.

Top

 Post subject: Re: Maths question help pleasePosted: Fri Jul 24, 2015 10:52 pm

Joined: Thu Jul 23, 2015 3:16 pm
Posts: 2
Yes - thanks - logical workings are the way my son did it, however I'm really wondering if there is a formula to work out this type of problem? I wonder if anyone could suggest one please?
Thanks

Top

 Post subject: Re: Maths question help pleasePosted: Sat Jul 25, 2015 6:54 am

Joined: Sat Aug 10, 2013 11:46 am
Posts: 216
Imagine the other team scored 0. Rangers could have scored 0,1,2,3,4, or5.
Imagine the other team scored 1. Rangers could have scored 0,1,2,3 or 4,
Imagine the other team scored 2. Rangers could have scored 0,1,2 or 3
The other team could not have scored 3, or they would have won.
This is a section from triangular numbers. Triangular numbers just mean:
1,
1+2,
1+2+3
and so on until you get to in this case 1+2+3+4+5+6.
So you could use the formula for adding triangular numbers to 6 then use the formula again to subtract the triangular numbers to 3.
This is a long winded way of saying: yes, there is a formula, but in this case it is more trouble than it is worth and way beyond 11+.
(The formula for triangular numbers is n(n+1)/2, where n is the number of numbers you are adding)

Top

 Post subject: Re: Maths question help pleasePosted: Sat Jul 25, 2015 8:39 am

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 13994
Some teachers call them triangle numbers as they make a triangle

*
**
***
****
*****

They crop up in lots of problems as they form part of Pascal's triangle.

Top

 Post subject: Re: Maths question help pleasePosted: Sat Jul 25, 2015 5:18 pm

Joined: Wed Nov 12, 2014 3:49 pm
Posts: 36
Hi

Can we know the correct Answer ?

Thx

Top

 Post subject: Re: Maths question help pleasePosted: Sat Jul 25, 2015 5:23 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 13994
The answer is in russet's post!

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 9 posts ]

 All times are UTC

#### Who is online

Users browsing this forum: No registered users and 1 guest

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forumYou cannot post attachments in this forum

Search for:
 Jump to:  Select a forum ------------------ FORUM RULES    Forum Rules and FAQs 11 PLUS SUBJECTS    VERBAL REASONING    MATHS    ENGLISH    NON-VERBAL REASONING    CEM 11 Plus GENERAL    GENERAL 11 PLUS TOPICS    11 PLUS APPEALS    11 PLUS TUTORS    INDEPENDENT SCHOOLS    11 PLUS CDs/SOFTWARE    11 PLUS TIPS    PRIMARY    SEN and the 11 PLUS    EVERYTHING ELSE .... 11 PLUS REGIONS    Berkshire    Bexley and Bromley    Birmingham, Walsall, Wolverhampton and Wrekin    Buckinghamshire    Devon    Dorset    Essex    Essex - Redbridge    Gloucestershire    Hertfordshire (South West)    Hertfordshire (Other and North London)    Kent    Lancashire & Cumbria    Lincolnshire    Medway    Northern Ireland    Surrey (Sutton, Kingston and Wandsworth)    Trafford    Warwickshire    Wiltshire    Wirral    Yorkshire BEYOND 11 PLUS    Beyond 11 Plus - General    GCSEs    6th Form    University