Multiplication - Times Tables (2024)

The 12 Times Table

Printable 10 Times Tables:Printable 12 Times Tables:
  • 10× Color,
  • 10× Black and White,
  • 10× Small (exercise book) size,
  • and a 10× blank version for you to fill in.
  • 12× Color,
  • 12× Black and White,
  • 12× Small (exercise book) size,
  • and a 12× blank version for you to fill in.

Print one and put it on your wall, or paste it in an exercise book.

HowtoLearn

Your life will be a lot easier when you can simply remember the multiplication tables.

So ... train your memory!

First, use the table above to start putting the answers into your memory.

Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables.

Use it a few times a day for about 5 minutes each, and you will learn your tables.

Try it now, and then come back and read some more ...


So, the two main ways for you to learn the multiplication table are:

  • Reading over the table
  • Exercising using the Math Trainer

But here are some "tips" to help you even more:

Tip 1: Order Does Not Matter


When we multiply two numbers, it does not matter which is
first or second, the answer is always the same.

(See Commutative Property.)

Example: 3×5=15, and 5×3=15

Another Example: 2×9=18, and 9×2=18

Multiplication - Times Tables (2)

In fact half of the table is a mirror image of the other!

So, don't memorize both "3×5" and "5×3", just memorize that "a 3 and a 5 make 15" when multiplied.

This is very important! It nearly cuts the whole job in half.


In your mind you should think of
3 and 5 "together" making 15.

so you should be thinking something like this:

Multiplication - Times Tables (3)

Tip 2: Learn the Tables in "Chunks"

It is too hard to put the whole table into your memory at once. So, learn it in "chunks" ...

Multiplication - Times Tables (4)

AStartbylearningthe 5 times table.

B Then learn up to 9 times 5.

C Is the same as B, except the questions are the other way around. Learn it too.

D Lastly learn the "6×6 to 9×9" chunk

Then bring it all together by practicing the whole "10 Times Table"

And you will know your 10 Times Table!

(We look at the 12x table below)

Some Patterns

There are some patterns which can help you remember:

is just doubling the number. The same as adding the number to itself.

2×2=4, 2×3=6, 2×4=8, etc.

So the pattern is 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

(And once you remember those, you also know 3×2, 4×2, 5×2, etc., right?)

has a pattern: 5, 10, 15, 20, etc. It ends in either 0 or 5.

Multiplication - Times Tables (5)

has a pattern, too: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Now, notice how the "ones" place goes down: 9, 8, 7, 6, ...? And at the same time, the "tens" place goes up: 1, 2, 3,...? Well, your hands can help!

Example: to multiply 9 by 8: hold your 8th finger down, and you can count "7" and "2" ... the answer is 72

10× is maybe the easiest of them all ... just put a zero after it.

10×2=20, 10×3=30, 10×4=40, etc.

The Hardest Ones

For me the hardest ones are 6×7=42, 6×8=48 and 7×8=56. I often have to say in my mind:

"six sevens are forty-two, six eights are forty-eight, seven eights are fifty-six"

What About the 12 Times Table?

Sounds tough, but once you have mastered the 10× table, it is just a few steps away.

Firstly, 11× is mostly easy: from 11×2 to 11×9 you just put the two digits together. 11×2=22, 11×3=33, ..., 11×9=99.

And of course 2×, 5× and 10× just follow their simple rules you know already.

So it just leaves these to remember:

  • 3×12=36,
  • 4×12=48,
  • 6×12=72,
  • 7×12=84,
  • 8×12=96,
  • 9×12=108

And the "Big 3":

  • 11×11=121,
  • 11×12=132 and
  • 12×12=144

Why Learn The Multiplication Table?

While it is generally more important to know why things work, with the tables I recommend pure memory, it makes future math work much easier.

Much like walking, you don't want to think what your feet are doing, you want to enjoy the adventure.

More Help

I also have a longer list of multiplication tips and tricks if you are interested.

You can test yourself using the times tables test.

You can try out Speed Math, Fix The Equation and Make the Number.

Learn Long Multiplication.

And if you are really good, see if you can beat the high scores at Reaction Math.

6163, 6164, 6165, 6166, 6167, 6168, 6169, 6170, 6171, 6172

Multiplication Tables Test Multiplication Worksheets Real Multiplication Table Numbers Index

Multiplication - Times Tables (2024)

FAQs

At what age should a child know multiplication tables? ›

By the end of 3rd grade, your child should have a good grasp of the multiplication tables (and their division facts) up to 12 x 12. They also should have practiced them throughout 4th grade, so they should be very familiar and comfortable with them in 5th grade.

Should multiplication tables be memorized? ›

Even with calculators readily available and excellent for many situations, memorization of the multiplication tables actually remains an extremely important tool. In order to understand division, fractions, and ratios and be able to spot many patterns, your child must recognize the numbers in the multiplication tables.

What is the easiest way to memorize multiplication tables? ›

Skip-counting is probably the best math skill for memorizing multiplication tables without simply repeating the numbers. The wonderful thing about multiplication is that it follows a strict pattern, which children can learn by skip-counting.

What is the hardest multiplication answer? ›

The hardest multiplication is 6×8, which students got wrong 63% of the time. This was closely followed by 8×6, then 11×12, 12×8 and 8×12. The easiest multiplication, on the other hand, was 1×12, which students got wrong less than 5% of the time, followed by 1×6 and 9×1.

Why can't my child memorize the multiplication tables? ›

One thing that makes it hard to memorize the multiplication table is similarity between facts – as in the case of 8 x 8 = 64 and 8 x 6 = 48. Unfortunately, many memory tasks become harder if the items to be remembered are similar. For example, it is harder to repeat a list of words if the words resemble one another.

Should a 6 year old be able to multiply? ›

Multiplication & division in Year 1 (age 5–6)

In Year 1, children will be expected to be able to solve simple multiplication and division problems using objects, drawings and arrays to help them. This includes: counting in steps of 2, 5 and 10 and understanding that, for example 3 × 2 is the same as 2 + 2 + 2.

What time table should a 7 year old know? ›

Multiplication & division in Year 2 (age 6–7)

In Year 2, children will be expected to use a range of methods to solve multiplication and division problems, including using practical resources and mental methods. This includes: knowing and using multiplication and division facts for the 2, 5 and 10 times tables.

Why do I keep forgetting the multiplication table? ›

Because multiplication facts are stored as individual facts in memory, they are subject to the limits of human memory, in particular to the interference induced by the similarity between items: memorizing similar items is hard because they interfere with each other.

Is there a trick to learning multiplication? ›

One of the best and easy multiplication tricks for large numbers is to find the tens of one of the numbers, and multiply with that quickly. Adding the remaining leftovers will be easier to calculate fully. E.g., 22 X 83 can be rewritten as (20 X 83) + (2 X 83) which gives us 1660 + 166 = 1826.

How long does it take to memorize multiplication tables? ›

Most children will have the upper multiplication facts memorized in as little as two weeks!

How can I help my ADHD child memorize multiplication tables? ›

Practice one sequence of multiples at a time, until your child has mastered the facts. Engaging other senses can also help information “stick.” Have him type math facts in different fonts or trace them in sand.

What is the hardest math problem ever created? ›

The Riemann Hypothesis holds one of the seven unsolved problems known as the Millennium Prize Problems, each carrying a million-dollar prize for a correct solution. Its inclusion in this prestigious list further emphasizes its status as an unparalleled mathematical challenge.

What is the hardest math problem no one can solve? ›

Goldbach's Conjecture

One of the greatest unsolved mysteries in math is also very easy to write. Goldbach's Conjecture is, “Every even number (greater than two) is the sum of two primes.” You check this in your head for small numbers: 18 is 13+5, and 42 is 23+19.

What is the hardest thing in math? ›

Five Most Difficult Topics In Mathematics That Students Fear
  • Calculus. Calculus is the study of integrals, function limits, and derivative combinations for real numbers and their analysis. ...
  • Differential equations and dynamic systems. ...
  • Algebra. ...
  • Combinatory. ...
  • Logic.
Sep 20, 2021

What grade do they teach multiplication tables? ›

In first and second grade, students learn to represent and solve addition/subtraction equations and extend their counting sequences. In third grade, students begin to learn their multiplication facts and times tables.

Can a 4 year old do times tables? ›

When do kids learn times tables? Your child begins learning about times tables as soon as they begin to count. Counting to 10 is the same as the one times tables - yet, they will not be taught multiplication in school until year 1. At school, children usually begin to learn about multiplication in key stage 1.

Should 3rd graders know multiplication? ›

One of the main concepts of the 3rd grade is definitely multiplication. This basic knowledge is as crucial as addition and subtraction because all future skills are built on these foundations. That's why it's so important to form a conceptual understanding rather than just to memorize facts.

What times tables should my 7 year old know? ›

Times tables are a crucial maths skill that primary children must learn. Throughout Years 2-6 (and often earlier), children will begin to learn their times tables, starting with the 5 and 10 times tables and gradually adding more times tables up until they know their times tables up to 12.

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