Recently I found a gift of a PDF( this is open source and available for everyone even on her website it is free)by Lynn Kelly about memorizing tables till 100 by. Using memory palace+ mnomics+ any box type technique.i was feeling some uncomfortable while doing this I putting the PDF here in Google drive the link for pdf is 
[see below] if someone knows how to do this kindly help me or if you know any other method then plz tell me about that.
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Do you mean memorising all one and two digit multiplications up to a hundred times table ( 2x to 100x) or memorising 2x to 10x tables (last answer is 100)?
Check this.
I am still playing around with the idea of memorising the 2 digit multiplications myself. A recent idea I got was to memorise only the three starting digits on the answer and group together in a location based on that, then get the last digit by quick multiplication Eg: For 48*59=2832. I will put 48*59 along with other answers starting with 283 in a room made for it. But I need a three digit system for this to work. (I already have a two digit PAO).
Also, in my (admittedly limited) experience, memory techniques memorization won’t give you the quick fluency you’d want, to be able to use 2 by 2 multiplication for long problem solving (Like 8 by 8 multiplication). Unless you just want to be able to give the answer to any given 2 by 2 multiplication and do divisions with them.
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Here’s a link to the original PDF (it’s copyrighted, even if it’s free):
Here are some related topics about multiplication tables, in case you haven’t seen them yet:
https://forum.artofmemory.com/search?q=multiplication+tables
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As you can see, the first reply you got was:
The quality of an analysis is fundamentally capped by the quality of the question one is trying to answer. Or, to say it with W. Edwards Deming:
“If you do not know how to ask the right question, you discover nothing.”
If “this” refers to:
We are dealing with Plurium Interrogationum (which literally translates to “of many questions”), also formally known as the Fallacy of the Complex Question or the Loaded Question Fallacy. Your question is a textbook textbook case:
- You presuppose that Lynn Kelly’s system is inherently functional for your needs.
- You presuppose that a Memory Palace, Phonetic Mnemonics, and a Box-Type Grid are meant to be combined into one hybrid tool.
- You then ask: “How do I do this?”
What @LynneKelly is providing on her website is a system that “can be used to guide teachers and parents to help students create their own set of images to encode the tables in a memorable form.” I am directly quoting from the link @Josh provided. In Lynn’s Rapscali’s Tables Instructions PDF you’ll also find her say:
“However, much of the feedback was that parents and teachers would like to use my art as a game for their children or students.”
Furthermore, she provides a 12x12 matrix up to 144. Now, I have to ask the same question that @Clarence already asked, which is: are you asking for a method for up to 100x100? The title suggests in a way that you are interested in mental math. If you are not and you just want to know about the method that Lynn describes for a 12x12 matrix, simply read her instructions, she has it all explained right there. As always, her instructions are easy to follow; however, if you do have questions after reading her guide: please be more specific as to what your question actually is.
I shall now assume that you have read her instructions before asking a question here, so 10x10 is out of the question because Lynn already describes the method up to 12x12. In order to get to 100x100 you can certainly expand her system; however, I would be providing this forum a disservice if I didn’t point out that there was probably a reason that she capped her approach at 12x12 and that you might want to consider a different method if 100x100 is your goal.
N.B.: This is not a matter of showing a superior system or winning a debate against Lynn. There is no debate, we are talking about two different ways of looking at two different problems. What I am doing is proving you with a different point of view as far as your 100x100 question. A question Lynn didn’t intent to answer when she provided a method for a 12x12 grid.
There is a general acceptance that students need to memorise their multiplication tables. After forty years teaching mathematics, I know that instant recall of tables is an essential background skill.
When working mathematically, students shouldn’t sing-song or count through all the tables to get to the one they need. They must be able to recall any given table instantly.
The following is an approach using the mnemonic techniques known to be effective […]
– Rapscali’s Tables Instructions PDF
Now, I agree entirely with what Lynn is saying here. I am not sure how much it means to you that the words “forty years teaching mathematics” are in that quote; however, just so you don’t think I am “some random guy on the internet”… I participated in the Mental Calculation World Cup (MCWC) which is limited to forty people worldwide. My teaching experience is mostly in Computer Science and Systems Analysis, but I have been teaching English as a Foreign Language (TEFL) as well (CELTA certified). Note that Lynn is not saying “I have this much experience so my method works” and neither am I saying “I have this much experience so my method works”.
The following is an approach using the mental calculation techniques known to be effective
– my two cents
Under the link Josh provided, you find the following:
6 x 8 = 48 (sticks by gate = naughty gate)
Lynn is using rhyming for the numbers 6 (sticks), 8 (gate), 48 (naughty gate), and then a story to connect them. This is a mnemonic based approach and effectively encodes:
6 * 8 = 48
Alternatively, you could take half of 8 and later double the result. Now you are looking at…
6 x 4 which can be written as (5 + 1) x (5 = 1) resulting in:
5^2 - 1^2 = 25 - 1 = 24
…additionally, you can double 6 and later take half of the result…
12 x 8 which can be written as (10 + 2) x (10 - 2) resulting in:
10^2 - 2^2 = 96
This has the advantage what you can now double-check your answer:
24 * 2 = 48
96 / 2 = 48
Now, is that “better” (read: faster) than using the mnemonic “sticks by gate = naughty gate”… no, probably not! However, it can be applied universally:
10*10 = (10+0)*(10-0) = 10^2-0^2 = 100-0 = 100
11*9 = (10+1)*(10-1) = 10^2-1^2 = 100-1 = 99
12*8 = (10+2)*(10-2) = 10^2-2^2 = 100-4 = 96
13*7 = (10+3)*(10-3) = 10^2-3^2 = 100-9 = 91
14*6 = (10+4)*(10-4) = 10^2-4^2 = 100-16 = 84
Since you want to go up to 100x100 let’s look at 73 x 77 which will result in 75^2 - 2^2 , but we don’t yet know how to square 75. Luckily, every number that ends in a 5 will result in a 25 when squared, so we already know it will be xx25 and just need a way to figure out the left-hand-side. Simply add “1” to the digit on the left-hand-side
05 * 05 = 0 * (0+1) = 00|25
15 * 15 = 1 * (1+1) = 02|25
25 * 25 = 2 * (2+1) = 06|25
75 * 75 = 7 * (7+1) = 56|25
All that’s left to do now, is to subtract the 2^2 from 5,625 for:
73 * 77 = 75^2 - 2^2 = 5625 - 4 = 5621
And that is just what you can do with squares. Instead of 6 x 8 = 48, let’s look at 7 x 8 = 56 but differently from what you are used to:
7 = (10 - 3)
8 = (10 - 2)
For the left-hand-side take either 7 - 2 = 5 or 8 - 3 = 5 (across) to get the left-hand-side and 2 x 3 = 6 for the right-hand side: 5|6 is your answer. Again, this works with 100 just the same, so 92 x 93 can be done as follows:
92 = (100 - 8)
93 = (100 - 7)
For the left-hand-side take either 92 - 7 = 85 or 93 - 8 = 85 (across) to get the left-hand-side and 8 x 7 = 56 for the right-hand side: 85|56 is your answer.
I will leave it with these two concepts, but there is plenty more you can do in this fashion. These are not “tricks” by the way, these are algorithms that can be explained, there is zero magic here. Now… why am I not calling this the better system? Because it depends on your objective… Lynn’s approach answers a question entirely different from the one I just provided a little insight to.
The question now is: What is you question?
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