It is currently Fri Dec 09, 2016 7:46 am

 All times are UTC

 Page 1 of 1 [ 8 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: Number Related CodesPosted: Fri Jul 21, 2006 2:36 pm

Joined: Mon Jan 30, 2006 4:07 pm
Posts: 2660
Dear Panic

Type K [as identified by IPS or Type 18 [as identified by The Tutors]…..

[ 36 [6] 6] [56 [ 7] 8] [49 [?] 7]

There are THREE basic rules…..

1] The number in the MIDDLE is made by using the numbers on either side.

2]Sometimes you use ONE operation, sometimes you use TWO.

3]The RULE found for the first set MUST apply to the second set.

To get started the child must look at the number in the MIDDLE of the first set….

If the number is BIGGER than the numbers on either side, then the child says to themselves “The CHANCES are…. I will be ADDING or MULTIPLYING.”

If the number is SMALLER than one or both numbers on either side, then the child will say, “The CHANCES are…..I will be TAKING AWAY or DIVIDING.”

They always say, “The Chances Are”…….because occasionally you DO have to use the opposite operations.

The Above Example

The number in the MIDDLEis smaller than one of the numbers on either side ……so….”The chances are that I will be TAKING AWAY or DIVIDING….

36÷6=6

MUST check that it works for the second set….56÷8=7

The rule goes for both sets, therefore can use for last set…49÷7=7

Another Example

[25 [16] 7] [29[27]25] [49[?]]23]

The number in the MIDDLEis SMALLER than at least one of the numbers…”The chances are that I will be TAKING AWAY or DIVIDING…

25-7=18….…how do I get to 16….I take away 2……..does this rule work for the second set…..NO

25÷8= cannot do….must be a whole number.

I must NOT give up…I just try the other TWO operations

25+7=32…how do I get to 16…I half the number 32….does it work for the second set.

29+25=54…..how do I get to 27…I half the number 54

The rule works for both sets, therefore I can use for the last set…

49+23=72……half of 72 = 36

Common Mistakes

The child forgets to check the RULE works for BOTH sets.

The child tries to USE the middle number as part of his/her calculations to find THAT middle number.

The child tries the obvious 2 operations, cannot find the answer, then panics, forgetting they CAN use the other two operations.

Knowledge Required

This type of question is ALWAYS the most dreaded……BUT….at the end of the day it ONLY uses the four basic maths operations + ÷ x -

All my tutored children have to complete times table squares on a weekly basis [2-12]

I tell ALL mums that they should try to ensure that the child can add up and take away basic numbers under 100…..VERY QUICKLY……before they come to me.

A good knowledge of doubling and halving is also very important.

It’s basically...... firing quick questions at them, in the car, out for walks at the kitchen table.

Hope this helps

Patricia

Top

 Post subject: Posted: Thu Oct 12, 2006 10:47 pm
The way I got my daughter to answer these questions,

is to write the answers to the 4 first steps in a consistant pattern like this

11 30 15 56 + x
6 [34] 5 7 [60] 8 a [ b] c
1 - 1 - - /

compare 1 and 2, the answer becomes obvious, this also works for bigger numbers as it is obvious not to multiply numbers greater than the 12 times table, in the example above subtraction and division is eliminated immediately, the main advantage is it provides an ordered and structured way to tackle the question, and then answer the question without getting mixed up beacuase the first step is always laid out the same way. PS look at the top right answers and add 4!!
My daughter is hopeless at maths she went from getting 1 of these right to never getting them wrong.

Top

 Post subject: Posted: Thu Oct 12, 2006 10:51 pm
11 ......30 _______15 .......56 _____+....... x
.6 [34] 5 _________7 [60] .8 _____a [ b] c
.1 .......NA ________1 ......NA ______-....... /

Top

 Post subject: Posted: Thu Oct 12, 2006 10:56 pm
If you say they wont have time to do all the first steps and write them down. The extra time writing the options is totally outweighed by the clarity it offers and the associated time saving of visual thought rather than muddled mental maths.
I suggest you give up and came back when they can do tables and number bonds, instantly.

Top

 Post subject: Posted: Thu Oct 12, 2006 11:03 pm
When I say tables, I mean multiplication tables as well as division tables, if they cant do it both ways, start practicing

7x8=56
56/7=8
56/8=7

Top

 Post subject: Posted: Fri Oct 13, 2006 12:42 pm
Thanks for the techniques. Great advise!!!!!!

But, Mary Poppins how would you apply your technique to a K TYPE question from another thread?

ie..........

(9 [20] 18 )............(2 [6] 4)............(3 [ * ] 18 )

P.S the answer to * = 24

Top

 Post subject: Posted: Fri Oct 13, 2006 8:46 pm
Just the same.

27.......NA...............6......8
(9 [20] 18 )............(2 [6] 4)
9...........2................2......2..

If you complete the calculations and still cant see the answer after doing stage one, dont bother taking the elevenplus!!!!

(3 [ * ] 18 )
.............6

18+2,4+2, the only way both work is to divide and add the result

18+6=24

Hope this helps, this IMHO is one of the easier questions, and in no way should be scary, as it once was, as proved by my daughter

Top

 Post subject: Posted: Fri Oct 13, 2006 10:03 pm
Thanks Mary Poppins,

Didn't understand previous bottom line of example, i.e

.1 .......NA ________1 ......NA ______-....... /

Your method does indeed clearly throw up the answer when written out as

27.......NA...............6......8
(9 [20] 18 )............(2 [6] 4)
9...........2................2......2..

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 8 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