# Drilling multiplication tables of 2, 3, 10, and 5

This is an example of how to drill the multiplication tables of 2, 3, 10, and 5. 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 2

Count by twos.

0, 2, 4, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___

Fill in the multiplication table:

 × 0 1 2 3 4 5 6 7 8 9 10 11 12 2

Is there any connection between the two lines of numbers you just wrote?

Those numbers form THE MULTIPLICATION TABLE OF 2.  It is often written in this form, too.  Fill in the table.

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

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.

## Drill

1.  Count by twos again.  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, 2, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___

2.  Count by twos 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.

24, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, 0

3.  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.

 a. × 2 = 14 × 2 = 4 × 2 = 8 × 2 = 16 × 2 = 22 × 2 = 10 b. × 2 = 12 × 2 = 6 × 2 = 18 × 2 = 24 × 2 = 2 × 2 = 20 c. 2 × = 6 2 × = 2 2 × = 18 2 × = 24 2 × = 14 2 × = 22 d. 2 × = 12 2 × = 8 2 × = 10 2 × = 20 2 × = 4 2 × = 16

## Multiplication table of 3

Count by threes:    0, 3, 6, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___

Those numbers form THE MULTIPLICATION TABLE OF 3.  It is often written in this form, too.  Fill in the table.  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 × 3 = _____ 2 × 3 = _____ 3 × 3 = _____ 4 × 3 = _____ 5 × 3 = _____ 6 × 3 = _____ 7 × 3 = _____   8 × 3 = _____   9 × 3 = _____ 10 × 3 = _____ 11 × 3 = _____ 12 × 3 = _____

Note: the multiplication fact 2 × 3 = 6 or 3 × 2 =  6 is both in the table of three and table of two.

## Drill

1.  Count by threes again, both 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, 3, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___

36, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, 0

 a. 8 × 3 11 × 3 9 × 3 4 × 3 10 × 3 b. 7 × 3 2 × 3 6 × 3 12 × 3 5 × 3 c. 3 × 9 3 × 6 3 × 1 3 × 3 3 × 5 d. 3 × 7 3 × 10 3 × 4 3 × 11 3 × 8 e. 3 × 3 1 × 3 3 × 12 8 × 3 3 × 2

3.  Fill the missing numbers - but only in your head.  You can drill these problems like the ones before. × 3 = 15 × 3 = 3 × 3 = 36 × 3 = 21 × 3 = 30 × 3 = 9 × 3 = 12 × 3 = 6 × 3 = 18 × 3 = 24 × 3 = 33 × 3 = 27 3 × = 21 3 × = 27 3 × = 18 3 × = 24 3 × = 36 3 × = 9 3 × = 12 3 × = 3 3 × = 15 3 × = 33 3 × = 6 3 × = 30

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 10

Fill in THE MULTIPLICATION TABLE OF 10.  That is one of the easiest!
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 × 10 = _____ 2 × 10 = _____ 3 × 10 = _____ 4 × 10 = _____ 5 × 10 = _____ 6 × 10 = _____ 7 × 10 = _____   8 × 10 = _____   9 × 10 = _____ 10 × 10 = _____ 11 × 10 = _____ 12 × 10 = _____

What same multiplication fact is both in the table of three and table of ten?

10 × 3 = 30 or  3 × 10 = 30

What same multiplication fact is both in the table of two and table of ten?

_____________________________________

## Drill

1.  Count by tens.  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, 10, ___, ___, ___, ___, ___, __, ___, ___, ___, ___, ___

2.  Count by tens 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.

120, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, 0

 a. 5 × 10 12 × 10 3 × 10 7 × 10 10 × 10 2 × 5 b. 6 × 10 9 × 10 4 × 10 11 × 10 8 × 10 1 × 10 c. 10 × 8 10 × 2 10 × 4 10 × 5 10 × 12 10 × 3 d. 10 × 7 10 × 10 10 × 1 10 × 11 10 × 9 10 × 6

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

 One centimeter (cm) has ten millimeters (mm).  1 cm = 10 mm. 6.  Change centimeters into millimeters and vice versa!

 2 cm = ______ mm 5 cm = ______ mm 11 cm = ______ mm 7 cm = ______ mm 9 cm = ______ mm 6 cm = ______ mm _____ cm = 30 mm _____ cm = 80 mm _____ cm = 120 mm

8.  Measure a spoon, a  pencil, a pen, a nail, and a safety-pin in centimeters and millimeters.

 spoon:  pencil:   pen: ___ cm _____ mm ___ cm _____ mm ___ cm _____ mm nail: safety-pin: ___ cm _____ mm ___ cm _____ mm

## Multiplication table of 5

Count by fives.

0, 5, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___, ___

Fill in THE MULTIPLICATION TABLE OF 5.  That is also an easy one!
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 × 5 = _____ 2 × 5 = _____ 3 × 5 = _____ 4 × 5 = _____ 5 × 5 = _____ 6 × 5 = _____ 7 × 5 = _____ 8 × 5 = _____ 9 × 5 = _____ 10 × 5 = _____ 11 × 5 = _____ 12 × 5 = _____

What same multiplication fact is both in the table of two and table of five?

_____________________________________

What same multiplication fact is both in the table of three and table of five?

_____________________________________

What same multiplication fact is both in the table of ten and table of five?

_____________________________________

## Drill

1.  Count by fives.  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, 5, ___, ___, ___, ___, ___, __, ___, ___, ___, ___, ___

 5 × 5 11 × 5 2 × 5 4 × 5 10 × 5 3 × 5 6 × 5 9 × 5 7 × 5 12 × 5 8 × 5 1 × 5 5 × 8 5 × 2 5 × 1 5 × 3 5 × 12 5 × 5 5 × 7 5 × 10 5 × 4 5 × 11 5 × 9 5 × 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. × 5 = 15 × 5 = 40 × 5 = 55 × 5 = 5 × 5 = 35 × 5 = 10 × 5 = 45 × 5 = 30 × 5 = 60 × 5 = 50 × 5 = 25 × 5 = 20 5 × = 35 5 × = 15 5 × = 50 5 × = 5 5 × = 25 5 × = 40 5 × = 55 5 × = 30 5 × = 10 5 × = 60 5 × = 45 5 × = 20

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.