11 times table reasoning and problem solving

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Tips on Learning the 11 Times Table

Table of 11 from 1 to 20.

• Numerical Representation
• Descriptive Representation
• Product (Table Outcome)

Practice Questions:

11 times table – explanation & examples.

The 11 times table is a table that contains multiples of the number 11.

Learning and understanding the 11 times table is essential for solving multiplication, division, and factorization problems. This topic will present some tips that will help students memorize the 11 times table.

To understand this topic easily, please review the following concepts: 

• Basics of addition and multiplication
• 10 times table

11 Multiplication Table

We can write the table of 11 as:

• $11\times 1 = 11$
• $11\times 2 = 22$
• $11\times 3 = 33$
• $11\times 4 =44$
• $11 \times 5 =55$
• $11 \times 6 =66$
• $11 \times 7 = 77$
• $11 \times 8 = 88$
• $11 \times 9 = 99$
• $11 \times 10 = 110$

Let us look at some simple tips which can help you memorize the 11 times table.

Digits pattern for the first 9 multiples: The first nine multiples follow a simple pattern. The number which is multiplied by 11 is repeated twice in the product. For example, $11\times 1 = 11$, as 11 is multiplied by the number 1, 1 is repeated in the answer  which is 11. Similarly,  $11\times 6 =66$, here 6 is repeated. The whole pattern is presented below, and the repeated digits are shown in green color.

Pattern for the 10 th and higher multiples of 11: This method presents the pattern followed by the 10 th and the higher multiples of the number 11. Suppose 11 is multiplied by 10 (note that the unit digit of 10 is 0 and the tens digit is 1); the product of $11 \times 10$ is equal to 110 (unit digit 0, tens digit 1, and hundreds digit 1). The unit digit of the product is the same as the unit digit of the number multiplied by 11.

The tens digit of the product is the summation of the unit and the tens digit. In our example, 10 is being multiplied by 11, so the tens digit of the product is $0+1 = 1$. Lastly, the hundreds digit of the product is the same as the tens digit of the number multiplied by 11. In short, the unit and hundreds digit of the number 10 are equal to the unit and tens digit of the product, i.e., 110. Meanwhile the ten’s digit of the product is the summation of the unit and tens digit of 10, i.e., $1+0 =1$.

This pattern is presented in the table below. Note that the only exception is the 19 th multiple of 11.  The summation of the unit and ten’s digit of 19 leads to $1+9 =10$.  So 0 will be the ten’s digit of the product while 1 will be added in the hundred’s digit of the product, and it will become $1+1 =2$, as shown in the table below.

Using the 10 times table: This is one of the easiest methods to learn the 11 times table, if you have already memorized the 10 times table. If we add natural numbers to multiples of the number 10, we get the 11 times table.

The first multiple of 10 is added with the first natural number which is 1. Similarly, the second multiple of 10 is added with the second natural number 2. This method is presented in the table below.

We can write a complete table of 11 from 1 to 20 as:

Example 1 :   Calculate 11 times 4 times 2 minus 40.

11 times 4 times 2 minus 40 can be written as:

$ 11\times4 \times 2 – 40$

$ =44\times 2 – 40$

$ = 88 – 40$

Example 2 : Verify whether the 7 th   multiple of 11 is 77 or not.

We know the first 7 multiples of 11 are 11, 22, 33, 44, 55, 66, and 77.

We can also verify it through the addition method.

Hence, we can confirm that the 7 th multiple of 11 is 77.

Example 3 : May has enough chocolates to give her 3 friends 11 chocolates each. Calculate the total number of chocolates she has.

May distributes 11 chocolates each to 3 friends.

By using the 11 times table, we can calculate the total number of chocolates.

$11\times 3 = 33$ chocolates

Example 4: Using the digit pattern method, find the values of

• 11 times 43
• 11 times 52

To find $11 \times 43$, we note that the unit digit of the product would be the same as the unit digit of $43$, i.e., 3. The hundredth digit of the product would the same as the tens digit of $43$, i.e., 4, and the tens digit of the product would be the sum of $4$ and $3$, i.e., 7. Hence, the product is 473.

To find $11 \times 52$, we note that the unit digit of the product would be the same as the unit digit of $52$, i.e., 2. The hundredth digit of the product would the same as the tens digit of $52$, i.e., 5, and the tens digit of the product would be the sum of 5 and 2, i.e., 7. Hence, the product is 572.

• Suppose one bag can contain four balls. Calculate the total number of balls if you have 11 bags.
• Calculate 11 times 2 times 2.
• Find the value of “Y”, if $Y \times 11 = 11\times 4 – 11$.

1) We know that one bag contains 4 balls.

So 11 bags will have $11\times 4 = 44$ balls.

2) We can write 11 times 2 times 2 as:

$ 11\times 2 \times 2$

$ = 22 \times 2$

3) $ Y \times 11 = 11\times 4 – 11$

$ Y \times 11 = 44 – 11 $

$ Y \times 11 = 33 $

We know $11\times 3 =33$, so $ Y = 3 $. 

11 Times Table

11 times table is the multiplication table of 11 where we get the product of multiplying 11 with whole numbers. Learning 11 times table is comparatively easier. The multiples are always a repetition of the same digit like, 11 × 1 = 11, 11 × 2 = 22, 11 × 5 = 55, 11 × 79 = 99, etc. In this mini-lesson, you can find the multiplication of 11 with whole numbers up to 10.

11 Times Table Multiplication Chart:

Multiplication Table of 11

Multiplication table of 11 is an important skill when solving mathematical problems based on multiplication and division . It is very helpful to find the multiples of 11. Go through the 11 times table that is given below for fast calculations.

You can print or save the 11 table as a PDF by clicking the link provided below.

☛ 11 Times Table Chart

Tips for 11 Times Table

• The first nine multiples of 11 are very easy to memorize. When 11 is multiplied by any single digit natural number, the product of that natural number is written twice. For example, 11 × a = aa; here a is a natural number. Like this, we have obtained the first nine multiples of 11 and hence, the 11 times table.
• To calculate the 11 times table for 2 digits numbers, there is a trick. When a two-digit number is multiplied by 11, take the sum of the digits of the number and place the sum between the two digits of the original two-digit number. For example, when 11 is multiplied by 16, take the sum of 1 and 6, that is, 7. Now, place the sum 7 between 1 and 6. The resulting number is 176. The product of 11 and 16 is 176, that is, 11 × 16 = 176.

Table of 11 up to 20

11 times table examples.

Example 1: Using 11 times table, evaluate 11 times 7 minus 2 plus 4.

First, we will write 11 times 7 minus 2 plus 4 mathematically.

Using 11 times table, we have: 11 times 7 minus 2 plus 4 = 11 × 7 - 2 + 4= 77 + 2 = 79

Hence, 11 times 7 minus 2 plus 4 is 79.

Example 2: Mary went to an orphanage and distributed 5 cupcakes each to the kids there. There were 11 kids in the orphanage. Using Table of 11 find how many cupcakes were distributed in total?

There were 11 kids, and she distributed 5 cupcakes each to the kids.

Therefore, from the table of 11, 5 × 11= 55 cupcakes

Hence, 55 cupcakes were distributed in total.

Example 3: Using 11 times table evaluate 7 minus 6 plus 3 times 11.

First, we will write 7 minus 6 plus 3 times 11 mathematically.

From 11 times table, we have: 7 minus 6 plus 3 times 11 = 7 - 6 + 3 × 11 = 1 + 33 = 34

Hence, 7 minus 6 plus 3 times 11 is 34.

Example 4: Using the multiplication table of 11, find the number which when multiplied to 11 gives 11?

We know that when a number is multiplied by 1, it gives the same number.

So when we multiply 11 by 1 we will get: 1 × 11 = 11

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FAQs on 11 Times Table

What are the 11 times table.

11 times table is the multiples of 11 as seen below:

What is the Rule for 11 Times Table?

One of the tricks or rules to remember while calculating the 11 times table is when a two-digit number is multiplied by 11, the sum of the digits is placed between the two digits of the original two-digit number. For example, when 11 is multiplied by 15, the sum of 1 and 5 is 6. Place the sum 6 between 1 and 5. Hence, the resulting number is 165.

What is the Multiples of 11?

The multiples of 11 can be seen in the 11 times table i.e. 11, 22, 33, 44, 55, 66, 77, 88, 99, 110.

How Do You Explain 11 Times Table?

11 times table can be remembered by multiplying each digit by 11 i.e. 11 × 11 = 121 and 12 × 11 = 132 since the outer digits of each answer add up to make the middle digit. Another way to remember the table of 11 is simply repeat the digits from 1 to 9.

Multiplication Tables

• Multiplication and Division

Times tables: 11 and 12

• Mastery PD Materials

Spine 2: Multiplication and Division – Topic 2.11

Introduction

Build up the eleven and twelve times tables using the distributive law, and solve associated multiplication and division problems. Combine known six times table facts with doubling facts and strategies to multiply by twelve.

Teaching points

• Teaching point 1 : The distributive law can be used to build up the 11 times table by partitioning 11 into 10 and 1. Adjacent multiples of 11 have a difference of 11.  
• Teaching point 2 : The distributive law can be used to build up the 12 times table by partitioning 12 into 10 and 2. Adjacent multiples of 12 have a difference of 12.  
• Teaching point 3 : Products in the 12 times table are double the products in the six times table; products in the six times table are half of the products in the 12 times table.  
• Teaching point 4 : Divisibility rules can be used to find out whether a given number is divisible (to give a whole number) by 11 or 12.

Teacher Guide

Representations, all year 4 files, related pages.

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11 times table

The 5-step plan.

• 1 x 11 = 11
• 2 x 11 = 22
• 3 x 11 = 33
• 4 x 11 = 44
• 5 x 11 = 55
• 6 x 11 = 66
• 7 x 11 = 77
• 8 x 11 = 88
• 9 x 11 = 99
• 10 x 11 = 110
• 11 x 11 = 121
• 12 x 11 = 132

Step 1a: View, read aloud and repeat

Step 1a is to get familiar with the table, so view, read aloud and repeat. If you think you remember them it’s time to test your knowledge at step 1b.

Step 1b: In sequence

Fill in your answers. Once you have entered all the answers, click on ‘Check’ to see whether you have got them all right! If you got all the answers right, practice the 11 times table shuffled in random order.

Step 2: Drag the right answer to the question

Step 3: shuffled.

Practice the 11 times table shuffled. Fill in all answers and press 'check' to see how many you got right.

Step 4: Multiple choice

Try to answer all the 15 questions right!

Step 5: Tables Diploma

Answer all the 24 questions right to get the diploma!

Too late...

Name on the diploma:, view your mistakes.

These games give the possibility to repeat the questions and improve the knowledge of the 11 times table. Enjoy the 11 times table games!

Memory times table game

Try to find as fast a possible the matching questions and answers!

11 times table memory

Welcome to the 11 times table page.

This is where you can practise your 11 times table. You can practise the 11 times table in sequence and once you have got the hang of that you can make it a bit harder by practising the sums up in random order. If you want to practise the 11 times table against the clock, you can of course take the speed test. If you want to practise at your leisure, we suggest you print out the 11 times table worksheet and practise with that.

Print 11 times table worksheet

Click on the worksheet to view it in a larger format. For the 11 times table worksheet you can choose between three different sorts of exercise. In the first exercise you have to draw a line from the sum to the correct answer. In the second exercise you have to enter the missing number to complete the sum correctly. In the third exercise you have to answer the sums which have been shuffled.

Learn the other times tables as well:

Description of the 11 times table

This is where you can practice the 11 times table by entering all the answers and then checking how many you got right. There are various ways the tables can be practiced. You are now on the 11 times table page where multiplication calculations can be practiced in sequence. Once you have mastered the table in sequence you can practice the sums in random order. You can learn the tables on a PC, tablet, iPad or mobile phone. You learn this table in year 4 maths.

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11 times table

The 5-step plan.

• 11 x 1 = 11
• 11 x 2 = 22
• 11 x 3 = 33
• 11 x 4 = 44
• 11 x 5 = 55
• 11 x 6 = 66
• 11 x 7 = 77
• 11 x 8 = 88
• 11 x 9 = 99
• 11 x 10 = 110
• 11 x 11 = 121
• 11 x 12 = 132

Step 1a: View, read aloud and repeat

Step 1a is to get familiar with the table, so view, read aloud and repeat. If you think you remember them it's time to test your knowledge at step 1b.

Step 1b: In sequence

Fill in your answers. Once you have entered all the answers, click on 'Check' to see whether you have got them all right! If you got all the answers right, practice the 11 times table shuffled in random order.

Step 2: Drag the right answer to the question

Step 3: shuffled.

Practice the 11 times table shuffled. Fill in all answers and press 'check' to see how many you got right.

Step 4: Multiple choice

Try to answer all the 15 questions right!

Step 5: Tables Diploma

Answer all the 24 questions right to get the diploma!

Too late...

Name on the diploma:, view your mistakes.

These games give the possibility to repeat the questions and improve the knowledge of the 11 multiplication table. Enjoy the 11 times table games!

Memory times table game

Try to find as fast a possible the matching questions and answers!

11 times table memory

11 times table chart.

This is where you can practice your 11 times table. You can practice the 11 times table in sequence and once you have got the hang of that you can make it a bit harder by practicing the facts up in random order. If you want to practice the 11 times table against the clock, you can of course take the speed test. If you want to practice at your leisure, we suggest you print out the 11 times table worksheet and practice with that. The eleven times table is the multiplication table of 11 where we get the product of multiplying 11 with whole numbers. It is helpful to know the multiples of 11. Below you will see the 11 multiplication chart.

Frequently Asked Questions

Print 11 times table worksheet.

Click on the worksheet to view it in a larger format. For the 11 times table worksheet you can choose between three different sorts of exercise. In the first exercise you have to draw a line from the sum to the correct answer. In the second exercise you have to enter the missing number to complete the sum correctly. In the third exercise you have to answer the sums which have been shuffled.

Learn the other times tables as well:

Description of the 11 times table

This is where you can practice the 11 times table by entering all the answers and then checking how many you got right. There are various ways the tables can be practiced. You are now on the 11 times table page where multiplication calculations can be practiced in sequence. Once you have mastered the table in sequence you can practice the sums in random order. You can learn the tables on a PC, tablet, iPad or mobile phone. You learn this table in year 4 maths.

11 and 12 Times-table: Reasoning and Problem Solving

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11 and 12 Times Table Lesson

This Year 4 11 and 12 Times Table lesson covers the prior learning of the 2 and 10 times table, before moving onto the main skill of using partitioning and known multiplication facts to multiply by 11 and 12.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objectives Mathematics Year 4: (4C6a) Recall multiplication and division facts for multiplication tables up to 12 × 12 Mathematics Year 4: (4C7)  Multiply two-digit and three-digit numbers by a one-digit number using formal written layout Mathematics Year 4: (4C8)  Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as  n  objects are connected to  m  objects

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Resources for teachers

Interactive activities for children

2 Teaching Support

Lesson Slides

These lesson slides guides pupils through the prior learning of the 2 and 10 times table, before moving onto the main skill of 11 and 12 times table. There are a number of questions to check pupils' understanding throughout.

Modelling Powerpoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

1 Prior Learning

Interactive Activity

This Year 2 The 2 Times Table Game checks pupils’ understanding of counting in 2s and applying this knowledge to the 2 times tables.

Flash Cards Activity

This 10 Times Table Game aims to support and develop recall of the 10 times table.

This 10 Times Table Memory Card Game aims to support and develop recall of the 10 times table.

2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This 12 Times Table Game aims to suport learners with multiplication by 12.

This 11 Times Table Game is designed to support learners with their multiplication by 11.

This Year 4 11 and 12 Times Table Game checks pupils’ ability to recall multiplication and division facts.

2 Reasoning & Problem Solving

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of 11 and 12 times table.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Interactive Challenge Activity

This Year 4 11 and 12 Times Table Maths Challenge checks pupil’s multiplication and division skills.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Free 11 and 12 Times Tables Year 4 Multiplication and Division Learning Video Clip

A Viking clan, led by Estrid, is setting sail from Scandinavia. They are travelling across the North Sea to England. Pupils will help Estrid calculate how many Vikings can fit on each longship and how many pieces of equipment can be taken on the journey. Children will also assist two other Vikings who are playing a mystery number game to pass the time on the longship.

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Consolidation Pack

This Multiplication and Division Consolidation Year 4 resource will help your pupils consolidate their understanding of Spring Block 1: Multiplication and Division. This resource is themed around giving children the chance to help run a museum. The questions in this pack will help you identify children working at the expected level.

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9 times tables fluency, reasoning and problem solving

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

29 November 2018

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A worksheet for the nine times table focusing on fluency, reasoning and problem solving.

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