Multiplication Tables (PDF) & Free Printable Times Tables Chart

Mastering the printable multiplication table is essential for young learners to succeed in math. This comprehensive guide provides an in-depth look at multiplication chart from 1 to 20, with a particular focus on the tables for 4, 5, 6, 7, and 8. Additionally, we offer free printable resources, such as worksheets, to support your child’s learning journey effectively.

Part 1. What is a Multiplication Chart?

A multiplication chart is a visual tool that displays the products of two numbers in a grid format. Commonly used in educational settings, this chart helps students learn and memorize basic multiplication facts, which are essential for further maths learning. By providing a quick reference for multiplying small numbers, the multiplication chart simplifies the process of multiplication and enhances students’ confidence in their maths skills.

Multiplication Chart Structure

Typically, the multiplication chart is arranged in a square or rectangular grid. One set of numbers is listed along the top row, while another is displayed in the left column. The intersection of each row and column within the grid indicates the product of the corresponding numbers. For example, if you look at the row for 4 and the column for 5, their intersection will show 20, since 4 multiplied by 5 equals 20.

Types of Multiplication Tables

Another trick is to understand that all the multiplication tables follow a pattern. They can vary in size depending on the range of multiplication covered. Common charts include:

Small-range charts (1-10)	These cover the basic times table chart from 1×1 up to 10×10. They are typically introduced to students in early elementary grades.
Extended-range charts (1-12 or 1-20)	These include products for numbers beyond 10, often going up to 12 or 20. These are useful for students as they advance in their mathematical education.

Part 2. Printable Multiplication Chart with PDF

With our free printable multiplication table chart, you can explore the world of numbers. They are a valuable tool for both educators and students. Designed to enhance mathematical fluency, the times table chart facilitates a deeper understanding of multiplication through visual reinforcement. Perfect for classroom walls or student notebooks, our multiplication tables are your go-to tool for improving speed and accuracy in math calculations.

You can practice any combination of the multiplication tables, which is very helpful for elementary and middle school students.

From 1 to 10:

Designed to enhance mathematical fluency, these charts facilitate a deeper understanding of multiplication through visual reinforcement. Perfect for classroom walls or student notebooks, our multiplication charts are your go-to tool for improving speed and accuracy in math calculations.

Here’s a detailed and easy-to-read multiplication chart for numbers 1 through 10. This chart is designed to be printed and used as a handy reference for young learners who are just beginning to explore the world of multiplication. It serves as an excellent visual aid that can help students quickly recall basic multiplication facts.

X	1	2	3	4	5	6	7	8	9	10
1	1	2	3	4	5	6	7	8	9	10
2	2	4	6	8	10	12	14	16	18	20
3	3	6	9	12	15	18	21	24	27	30
4	4	8	12	16	20	24	28	32	36	40
5	5	10	15	20	25	30	35	40	45	50
6	6	12	18	24	30	36	42	48	54	60
7	7	14	21	28	35	42	49	56	63	70
8	8	16	24	32	40	48	56	64	72	80
9	9	18	27	36	45	54	63	72	81	90
10	10	20	30	40	50	60	70	80	90	100

Printable Multiplication Chart 1 to 10 – Download PDF

This chart is perfect for quick referencing and helps in reinforcing the multiplication skills necessary for more advanced mathematical concepts. By providing a clear and organized display of products, students can effortlessly enhance their calculation capabilities, paving the way for successful mathematical learning.

Part 3. Printable Time Tables from 1 to 20

One of the main goals of early mathematics education is to help students comprehend and memorize times table chart. These tables serve as the building blocks for arithmetic operations, allowing students to gain fluency in calculation and problem-solving.

Kids love using the times table chart because it offers good practice for building math skills and helps students, especially those in 2nd and 3rd grade, easily grasp essential multiplication concepts. My students love having these!

Printable Times Tables 1 to 5 – Download PDF

1 × 1 = 1	2 × 1 = 2	3 × 1 = 3	4 × 1 = 4	5 × 1 = 5
1 × 2 =2	2 × 2 = 4	3 × 2 = 6	4 × 2 = 8	5 × 2 = 10
1 × 3 = 3	2 × 3 = 6	3 × 3 = 9	4 × 3 = 12	5 × 3 = 15
1 × 4 = 4	2 × 4 = 8	3 × 4 = 12	4 × 4 = 16	5 × 4 = 20
1 × 5 = 5	2 × 5 = 10	3 × 5 = 15	4 × 5 = 20	5 × 5 = 25
1 × 6 = 6	2 × 6 = 12	3 × 6 = 18	4 × 6 = 24	5 × 6 = 30
1 × 7 = 7	2 × 7 = 14	3 × 7 = 21	4 × 7 = 28	5 × 7 = 35
1 × 8 = 8	2 × 8 = 16	3 × 8 = 24	4 × 8 = 32	5 × 8 = 40
1 × 9 = 9	2 × 9 = 18	3 × 9 = 27	4 × 9 = 36	5 × 9 = 45
1 × 10 = 10	2 × 10 = 20	3 × 10 = 30	4 × 10 = 40	5 × 10 = 50
1 × 11 = 11	2 × 11 = 22	3 × 11 = 33	4 × 11 = 44	5 × 11 = 55
1 × 12 = 12	2 × 12 = 24	3 × 12 = 36	4 × 12 = 48	5 × 12 = 60

Printable Times Tables 6 to 10 – Download PDF

6 Times Table	7 Times Table	8 Times Table	9 Times Table	10 Times Table
6 × 1 = 6	7 × 1 = 7	8 × 1 = 8	9 × 1 = 9	10 × 1 = 10
6 × 2 = 12	7 × 2 = 14	8 × 2 = 16	9 × 2 = 18	10 × 2 = 20
6 × 3 = 18	7 × 3 = 21	8 × 3 = 24	9 × 3 = 27	10 × 3 = 30
6 × 4 = 24	7 × 4 = 28	8 × 4 = 32	9 × 4 = 36	10 × 4 = 40
6 × 5 = 30	7 × 5 = 35	8 × 5 = 40	9 × 5 = 45	10 × 5 = 50
6 × 6 = 36	7 × 6 = 42	8 × 6 = 48	9 × 6 = 54	10 × 6 = 60
6 × 7 = 42	7 × 7 = 49	8 × 7 = 56	9 × 7 = 63	10 × 7 = 70
6 × 8 = 48	7 × 8 = 56	8 × 8 = 64	9 × 8 = 72	10 × 8 = 80
6 × 9 = 54	7 × 9 = 63	8 × 9 = 72	9 × 9 = 81	10 × 9 = 90
6 × 10 = 60	7 × 10 = 70	8 × 10 = 80	9 × 10 = 90	10 × 10 = 100
6 × 11 = 66	7 × 11 = 77	8 × 11 = 88	9 × 11 = 99	10 × 11 = 110
6 × 12 = 72	7 × 12 = 84	8 × 12 = 96	9 × 12 = 108	10 × 12 = 120

Printable Times Tables 11 to 15 – Download PDF

11 Times Table	12 Times Table	13 Times Table	14 Times Table	15 Times Table
11 × 1 = 10	12 × 1 = 12	13 × 1 = 13	14 × 1 = 14	15 × 1 = 15
11 × 2 = 20	12 × 2 = 24	13 × 2 = 26	14 × 2 = 28	15 × 2 = 30
11 × 3 = 30	12 × 3 = 36	13 × 3 = 39	14 × 3 = 42	15 × 3 = 45
11 × 4 = 40	12 × 4 = 48	13 × 4 = 52	14 × 4 = 56	15 × 4 = 60
11 × 5 = 50	12 × 5 = 60	13 × 5 = 65	14 × 5 = 70	15 × 5 = 75
11 × 6 = 60	12 × 6 = 72	13 × 6 = 78	14 × 6 = 84	15 × 6 = 90
11 × 7 = 70	12 × 7 = 84	13 × 7 = 91	14 × 7 = 98	15 × 7 = 105
11 × 8 = 80	12 × 8 = 96	13 × 8 = 104	14 × 8 = 112	15 × 8 = 120
11 × 9 = 90	12 × 9 = 108	13 × 9 = 117	14 × 9 = 126	15 × 9 = 135
11 × 10 = 100	12 × 10 = 120	13 × 10 = 130	14 × 10 = 140	15 × 10 = 150
11 × 11 = 110	12 × 11 = 132	13 × 11 = 143	14 × 11 = 154	15 × 11 = 165
11 × 12 = 120	12 × 12 = 144	13 × 12 = 156	14 × 12 = 168	15 × 12 = 180

Printable Times Tables 16 to 20 – Download PDF

16 Times Table	17 Times Table	18 Times Table	19 Times Table	20 Times Table
16 × 1 = 16	17 × 1 = 17	18 × 1 = 18	19 × 1 = 19	20 × 1 = 20
16 × 2 = 32	17 × 2 = 34	18 × 2 = 36	19 × 2 = 38	20 × 2 = 40
16 × 3 = 48	17 × 3 = 51	18 × 3 = 54	19 × 3 = 57	20 × 3 = 60
16 × 4 = 64	17 × 4 = 68	18 × 4 = 72	19 × 4 = 76	20 × 4 = 80
16 × 5 = 80	17 × 5 = 85	18 × 5 = 90	19 × 5 = 95	20 × 5 = 100
16 × 6 = 96	17 × 6 = 102	18 × 6 = 108	19 × 6 = 114	20 × 6 = 120
16 × 7 = 112	17 × 7 = 119	18 × 7 = 126	19 × 7 = 133	20 × 7 = 140
16 × 8 = 128	17 × 8 = 136	18 × 8 = 144	19 × 8 = 152	20 × 8 = 160
16 × 9 = 144	17 × 9 = 153	18 × 9 = 162	19 × 9 = 171	20 × 9 = 180
16 × 10 = 160	17 × 10 = 170	18 × 10 = 180	19 × 10 = 190	20 × 10 = 200
16 × 11 = 176	17 × 11 = 187	18 × 11 = 198	19 × 11 = 209	20 × 11 = 220
16 × 12 = 192	17 × 12 = 204	18 × 12 = 216	19 × 12 = 228	20 × 12 = 240

Part 4. Importance of Times Table Chart

Multiplication tables, or times tables, are more than just a set of math facts. They are a fundamental tool in developing numerical literacy. Mastery of these tables is critical in both academic settings and everyday life, facilitating quicker and more accurate mathematical computations. Here’s why learning multiplication tables is so important:

1. Foundation for Advanced Mathematical Concepts

• Building Blocks: The multiplication table is foundational to higher-order math topics such as division, fractions, algebra, and geometry. A solid grasp of these tables simplifies the learning of these more complex areas.
• Algebraic Thinking: Understanding multiplication helps develop the ability to think algebraically, making it easier to solve equations and understand mathematical relationships.

2. Efficiency and Speed in Calculations

• Quick Calculations: Knowing the multiplication table by heart allows for faster computation, which is beneficial during exams or in situations where quick decision-making is required.
• Reducing Cognitive Load: When basic calculations are effortless, it frees up mental resources to tackle more complex problems without getting bogged down by simple arithmetic.

3. Real-world Applications

• Everyday Use: Multiplication is used in various real-life situations, from calculating bills and budgeting to understanding discounts and managing time.
• Professional Relevance: Many professions require the use of multiplication for tasks such as data analysis, engineering calculations, financial forecasting, and more.

4. Boosts Confidence in Math

• Overcoming Math Anxiety: Many students experience math anxiety. Being confident in multiplication can alleviate this by providing a strong sense of competence in mathematical skills.
• Foundation for Lifelong Learning: Confidence in multiplication opens up opportunities for lifelong learning and comfort with numbers, important for both personal and professional growth.

5. Enhances Problem-Solving Skills

• Strategic Thinking: Mastery of times tables helps develop strategic thinking, as it involves understanding patterns and relationships between numbers.
• Analytical Skills: Effective manipulation of numbers through multiplying fosters better analytical skills, which are useful in academic disciplines and in solving everyday problems.

Part 5. Tips for Learning Math Tables

Learning times tables is a crucial early math skill. It provides a foundation for more complex math operations and problem-solving. Here are some effective strategies to help learners of all ages efficiently learn and remember these tables:

1. Start with Smaller Numbers

• Begin learning with smaller numbers (e.g., the 1, 2, 5, and 10 tables) as these are typically easier and have more apparent patterns. Gradually move to larger numbers as confidence and understanding increase.

2. Use Visual Aids

• Visual aids such as charts, grids, and color-coded flashcards can make abstract numbers more concrete and easier to remember. Place these aids where they can be seen regularly, like on a bedroom wall or refrigerator.

3. Incorporate Games and Apps

• Interactive tools can be particularly engaging for young learners, making repetitive practice more enjoyable.

4. Practice Regularly

• Consistency is key in memorization. Set aside a regular daily time for practice. Even brief, focused sessions are more effective than sporadic, longer ones.

5. Teach with Songs and Rhythms

• Many children (and adults) find that setting math facts to a tune or rhythm helps with memorization. Numerous educational songs and videos are available that can make this process enjoyable and effective.

6. Use Real-World Examples

• Apply multiplication tables to real-life situations, such as calculating the total cost of multiple items, figuring out quantities needed for recipes, or planning travel times. This not only reinforces the tables but also illustrates their practical value.

7. Practice Reverse Calculations

• Along with straightforward multiplication, practice dividing the results by one of the numbers to see if you arrive back at the other number. This reinforces understanding and helps cement the relationship between multiplication and division.

8. Leverage Peer Learning

• Pair learners up or create small groups and have them quiz each other. Teaching a peer is a powerful way to reinforce one’s own learning.

9. Break it Down

• Break down more challenging tables into smaller, more manageable parts. For instance, learning the 9s can be simplified by relating them to the 10s (e.g., 9 x 6 is 10 x 6 minus 6).

10. Reward Progress

• Recognize and celebrate milestones in learning, such as mastering a new table. Rewards can motivate further learning and build a positive attitude towards mathematics.

By integrating these strategies into regular learning routines, students can develop strong, lasting skills in multiplication that will support their academic growth in mathematics and beyond.

Part 6. Worksheet on Multiplication Tables [PDF]

Creating a worksheet on multiplication tables is an excellent way for students to practice and test their understanding of the times tables from 1 to 20. This worksheet can include a mix of direct multiplication questions and reverse calculations (division) to ensure a comprehensive understanding. Below are some example formats you could include in your PDF:

1. Fill-in-the-Blank Tables: Provide partially completed multiplication tables for students to fill in.
2. Multiple Choice Questions: Include problems with multiple answers choices focusing on specific tables.
3. Mixed Practice Sets: Combine questions from different tables to test overall mastery.
4. Word Problems: Incorporate real-life scenarios that require multiplication to solve.
5. Timed Challenges: Include a section where students must solve as many problems as possible within a set time limit to enhance speed and accuracy.

Worksheet on Multiplication Tables – Download PDF

This worksheet can be designed using any standard word processing software and then saved as a PDF for easy distribution and printing.

Part 7. Multiplication Tables Solved Examples

Here are five multiplication table problems with detailed explanations. Each example demonstrates a different aspect of using multiplication tables, from straightforward calculations and using addition as a strategy, to solving for unknowns and applying knowledge in everyday situations. These examples can serve as a model for designing similar problems in educational materials or assessments.

1: Basic Multiplication

• Problem: What is 7×87×8?
• Answer: 56
• Explanation: To find 7×87×8, you can count seven groups of eight or eight groups of seven. Using the times table chart, locate the row for 7 and the column for 8, where they intersect gives 56.

2: Using Addition

• Problem: Calculate 5×45×4 using addition.
• Answer: 20
• Explanation: Multiplying 5×45×4 is equivalent to adding the number 5, four times: 5+5+5+5=205+5+5+5=20.

3: Reverse Calculation

• Problem: If 9×n=819, find n.
• Answer: 9
• Explanation: You know that 99 times some number equals 81. By using the 9 times table, you find that 9×9=81, so n=9.

4: Real-Life Application

• Problem: If each box contains 6 apples and you buy 4 boxes, how many apples do you have in total?
• Answer: 24 apples
• Explanation: Multiply the number of apples per box by the number of boxes: 6×4=246×4=24. This is a practical application of the times table in a real-world scenario.

5: Relating Tables

• Problem: Relate 10×610×6 to 5×65×6 and 5×65×6.
• Answer: 60
• Explanation: Knowing that 5×6=305×6=30, you can double this result because 1010 is double of 55. So, 10×6=30+30=6010×6=30+30=60.

Part 8. Practice Problems on Multiplication Tables

Mastering math facts is crucial for building a strong foundation in mathematics and improving problem-solving skills. Here are 10 practice problems based on the multiplication tables designed to test and reinforce understanding. These can be used in classroom settings, homework, or self-study exercises to gauge proficiency in basic multiplication.

Question 1

What is the product of 7 and 8?

• A) 54
• B) 56
• C) 58
• D) 60

Question 2

How much is 9 times 6?

• A) 52
• B) 54
• C) 56
• D) 58

Question 3

What do you get when you multiply 12 by 4?

• A) 44
• B) 46
• C) 48
• D) 50

Question 4

Multiply 5 by 3. What is the result?

• A) 15
• B) 17
• C) 18
• D) 20

Question 5

What is 11 times 2?

• A) 20
• B) 21
• C) 22
• D) 23

Question 6

Find the product of 8 and 7.

• A) 54
• B) 56
• C) 58
• D) 60

Question 7

How much is 3 times 3?

• A) 6
• B) 8
• C) 9
• D) 10

Question 8

What does 10 multiplied by 10 equal?

• A) 90
• B) 100
• C) 110
• D) 120

Question 9

Multiply 4 by 9. What is the answer?

• A) 34
• B) 36
• C) 38
• D) 40

Question 10

What is the result of multiplying 6 by 5?

• A) 28
• B) 30
• C) 32
• D) 34

Here are the correct answers:

1. B (56)
2. B (54)
3. C (48)
4. A (15)
5. C (22)
6. B (56)
7. C (9)
8. B (100)
9. B (36)
10. B (30)

These questions cover various basic multiplication math facts that are often included in elementary school curricula, helping students to practice and reinforce their multiplication skills.

FAQs

Q1: Why is it important to memorize multiplication tables?

Memorizing multiplication tables enhances mathematical fluency, allowing for quicker and more accurate calculations. This foundational skill is crucial for higher-level math concepts and practical everyday applications, from balancing a budget to calculating time and resources needed for tasks.

Q2: At what age should a child start learning multiplication tables?

Children typically begin learning multiplication tables around the age of 7 or 8, which corresponds to the 2nd or 3rd grade in many educational systems. Starting at this age helps your child grasp the concept of multiplication as they are already familiar with addition and can understand multiplication as repeated addition.

Q3: What are some effective strategies for learning multiplication tables?

• Repetition and Practice: Regular practice through drills or flashcards.
• Visual Aids: Using charts and grids to visualize relationships.
• Interactive Tools: Employing apps and games that make learning fun and engaging.
• Real-Life Applications: Applying multiplication in everyday contexts to show its usefulness and enhance understanding.
• Group Learning: Encouraging learning with peers or family members to stimulate discussion and aid memory.

Summary

Multiplication tables are indispensable tools in mathematics education, essential for developing quick calculation skills and understanding more complex math concepts. This guide provides free printable times tables chart and detailed insights into multiplication tables from 1 to 20, ensuring learners of all ages can grasp and master this fundamental skill.

If you still have questions about the multiplication table, or want to systematically and comprehensively lay a solid foundation in mathematics, come and make a free reservation for the WuKong Math course. New users will have the opportunity to receive rich learning resources.