# Drilling multiplication tables of 4, 11, and 9

This is an example of how to drill the multiplication tables of 4, 11, and 9. Please refer to the guide for structured drill to learn about this method.

This drill is based on first memorizing the skip-counting pattern for a particular table. Students then practice associating those numbers with the facts from the table. As the last (and very important) step, students practice the table 'backwards'; in other words, they are given the "answers" from the table and asked how many times the number produces those.

Also, After each table, the student completes a 12x12 grid which has those facts blocked out that aren't studied yet. Each time, the blocked squares get fewer and fewer.

## Multiplication table of 4

Count by fours:    0, 4, 8, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___

Fill in THE MULTIPLICATION TABLE OF 4.  You need to memorize these facts.  Cover the answers in the table with one hand and try to remember them!  Also practice them orally with your teacher.

 1 × 4 = _____ 2 × 4 = _____ 3 × 4 = _____ 4 × 4 = _____ 5 × 4 = _____ 6 × 4 = _____ 7 × 4 = _____ 8 × 4 = _____ 9 × 4 = _____ 10 × 4 = _____ 11 × 4 = _____ 12 × 4 = _____

 What samemultiplicationfact is both in... ... the table of four and table of two?________________ ... the table of four and table of five? _______________ ... the table of four and table of three? _______________ ... the table of four and table of ten? ________________

## Drill

1.  Count by fours - up and down.  Cover a list with your hand and repeat it in your head (or to your teacher) until you can list the numbers easily.  You can first work with the first half of the list, then with the second half, and lastly do the whole thing.

0, 4, ___, ___, ___, ___, ___, __, ___, ___, ___, ___, ___

48, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, 0

2.  Multiply - but only in your head.  Do NOT write the answers down.  Go through the problems until you master them easily.

 5 × 4 12 × 4 9 × 4 4 × 4 2 × 4 8 × 4 7 × 4 10 × 4 4 × 7 4 × 12 4 × 1 4 × 9 4 × 3 4 × 10 4 × 4 4 × 2 3 × 4 1 × 4 4 × 5 9 × 4 11 × 4 6 × 4 4 × 8 4 × 6

3.  Fill in the missing numbers - but only in your head.  Do NOT write the answers down.  Go through the problems until you remember them easily. × 4 = 28 × 4 = 4 × 4 = 8 × 4 = 44 × 4 = 48 × 4 = 36 × 4 = 12 × 4 = 16 × 4 = 40 × 4 = 24 × 4 = 32 × 4 = 20 4 × = 40 4 × = 28 4 × = 48 4 × = 24 4 × = 44 4 × = 36 4 × = 12 4 × = 8 4 × = 32 4 × = 20 4 × = 4 4 × = 16

## Example problems

4.  Circle the numbers that appear in both lists.  There are four of them.  Then fill in the table below.

Table of 3:  0, 3, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____

Table of 4:  0, 4, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____, ____

 Numbers in bothtables of 3 and 4 Product with factor 3 Product with factor 4 0  _____ =  0 × 3 = _____ × 3 =  0 × 4 = _____ × 4

 Numbers in bothtables of 3 and 4 Product with factor 3 Product with factor 4 _____ _____ = _____ × 3  = _____ × 3 = _____ × 4 = _____ × 4

5.  Solve the problems.  Remember to write number sentence(s) for each.

 a.  The cheap socks cost 1 dollar each pair, and the expensive ones cost 3 dollars each pair.   Which takes less money: to buy 10 pairs of cheap socks or to buy four pairs of expensive socks? b.  How many pairs of cheap socks can you buy with 15 dollars?  How many pairs of expensive socks can you buy with 15 dollars? e.  You see chickens and cats walking on the yard and they have total of 22 legs.  How many cats and how many chickens are there? f.  Find two other solutions to the problem in e.

6.  Fill in parts of the multiplication table that we have studied.

 × 0 1 2 3 4 5 6 7 8 9 10 11 12 0 1 2 3 4 5 6 7 8 9 10 11 12

## Multiplication table of 11

Count by elevens:

0, 11, 22, ____, ____, ____, ____, ____, ____, ____, ___, ____, _____

Fill in THE MULTIPLICATION TABLE OF 11.
You need to memorize these facts.  Cover the answers in the table with one hand and try to remember them!  Also practice them orally with your teacher.

 1 × 11 = _____ 2 × 11 = _____ 3 × 11 = _____ 4 × 11 = _____ 5 × 11 = _____ 6 × 11 = _____ 7 × 11 = _____   8 × 11 = _____   9 × 11 = _____ 10 × 11 = _____ 11 × 11 = _____ 12 × 11 = _____

What same multiplication fact is...

...both in the table of eleven and table of two? ___________________________

...both in the table of eleven and table of five?  ___________________________

...both in the table of eleven and table of three?  __________________________

...both in the table of eleven and table of ten?  ___________________________

...both in the table of eleven and table of four?  ___________________________

## Drill

1.  Count by elevens.  Cover the list with your hand and repeat the list in your head or to your teacher until you can list the numbers easily.  You can first work with the first half of the list, then with the second half, and lastly do the whole thing.

0, 11, ___, ___, ___, ___, ___, __, ___, ___, ___, ___, ___

2.  Count by elevens backwards.  Cover the list with your hand and repeat the list in your head or to your teacher until you can list the numbers easily.

132, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, 0

3.  Multiply - but only in your head.  Do NOT write the answers down.  Go through the problems in your head or with your teacher until you master them easily.

 5 × 11 12 × 11 9 × 11 4 × 11 11 × 11 3 × 11 2 × 11 8 × 11 7 × 11 10 × 11 6 × 11 1 × 11 11 × 7 11 × 12 11 × 1 11 × 9 11 × 11 11 × 5 11 × 3 11 × 10 11 × 4 11 × 2 11 × 8 11 × 6

## Example problems

5.  Fill in parts of the multiplication table that we have studied.

 × 0 1 2 3 4 5 6 7 8 9 10 11 12 0 1 2 3 4 5 6 7 8 9 10 11 12

## Multiplication table of 9

Count by nines:

0, 9, 18, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___

Fill in THE MULTIPLICATION TABLE OF 9.
You need to memorize these facts.  Cover the answers in the table with one hand and try to remember them!  Also practice them orally with your teacher.

 1 × 9 = _____ 2 × 9 = _____ 3 × 9 = _____ 4 × 9 = _____ 5 × 9 = _____ 6 × 9 = _____ 7 × 9 = _____   8 × 9 = _____   9 × 9 = _____ 10 × 9 = _____ 11 × 9 = _____ 12 × 9 = _____

What same multiplication fact is...

...both in the table of nine and table of two?___________________________

...both in the table of nine and table of five?  ___________________________

...both in the table of nine and table of three?  ___________________________

...both in the table of nine and table of ten?  ___________________________

...both in the table of nine and table of four?  ___________________________

...both in the table of nine and table of eleven?  _________________________

5. There are some special things in the table of nine! Fill in. Then, add the digits
of the answers. What do you notice?

 Multiply: Add the digits: 1 × 9 = ______ 2 × 9 = ______ 3 × 9 = ______ 4 × 9 =  36 3 + 6 = 9 5 × 9 = ______ 6 × 9 = ______
 Multiply: Add the digits: 7 × 9 = _____ 8 × 9 = _____ 9 × 9 = _____ 10 × 9 = _____ 11 × 9 =  99 9 + 9 = 18 ;  1 + 8 = ____ 12 × 9 = _____

 6. This is another special thing in the table of nine.    Fill in the table of nine, once again! Then, in each     answer, color the FIRST digit in the answer yellow     and the SECOND digit in blue.     Then look at the line of yellow numbers, and    the line of the blue numbers from top to bottom!     What easy pattern do you notice? 1 × 9 =    0    9    2 × 9 =    1    8    3 × 9 =    2    7    4 × 9 = ______  5 × 9 = ______  6 × 9 = ______  7 × 9 = ______  8 × 9 = ______  9 × 9 = ______10 × 9 = ______

## Drill

3.  Multiply - but only in your head.  Do NOT write the answers down.  Go through the problems in your head or with your teacher until you master them easily.

 5 × 9 2 × 9 1 × 9 4 × 9 11 × 9 3 × 9 8 × 9 10 × 9 7 × 9 12 × 9 6 × 9 9 × 9 9 × 10 9 × 12 9 × 1 9 × 11 9 × 9 9 × 3 9 × 5 9 × 7 9 × 4 9 × 2 9 × 8 9 × 6

4.  Fill in the missing numbers - but only in your head.  Do NOT write the answers down.  Go through the problems in your head or with your teacher until you remember them easily. × 9 = 90 × 9 = 99 × 9 = 36 × 9 = 108 × 9 = 27 × 9 = 54 × 9 = 63 × 9 = 18 × 9 = 81 × 9 = 9 × 9 = 45 × 9 = 72 9 × = 54 9 × = 819 × = 45 9 × = 729 × = 9 9 × = 99 9 × = 108 9 × = 18 9 × = 90 9 × = 279 × = 63 9 × = 36

## Example problems

5.  Compare the expressions and write <, >, or =.

 9 × 8 10 × 8 9 × 5 11 × 4 9 × 2 3 × 6 9 × 8 9 × 4 4 × 4 2 × 8 10 × 11 10 × 7

6.  Fill in parts of the multiplication table that we have studied.

 × 0 1 2 3 4 5 6 7 8 9 10 11 12 0 1 2 3 4 5 6 7 8 9 10 11 12

This lesson is taken from Maria Miller's book Math Mammoth Multiplication 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.