reasoning and problem solving number bonds to 100

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Number Bonds Worksheets to 50 and 100

Welcome to our Number Bonds Worksheets page. Here you will find a wide range of free printable Math Fact Worksheets, which will help your child learn their number bonds to 50 and 100.

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• What is a Number Bonds to 100?
• Number Bonds to 10
• Number Bonds to 20
• Number Bonds to 50 Worksheets

Number Bonds to 100 Worksheets

• More related resources

Number Bonds to 50 and 100 Online Quiz

Here you will find a range of free printable math worksheets to help your child learn their number bonds to 50 or 100.

These sheets are carefully graded so that the easier sheets come first and give extra support.

Using these sheets will help your child to:

• learn and practice their bonds to 50 or 100.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

What is a number bond to 100?

We can look at number bonds to 100 as pairs of numbers with a total of 100.

However, knowing your number bonds to 100 is more than just being able to quickly recite pairs that have a total of 100.

We would also expect children to know all the facts related to the pair of numbers that have a total of 100.

In other words:

• If we know that 63 + 37 = 100, we should also know
• 37 + 63 = 100
• 100 - 63 = 37
• 100 - 37 = 63
• And if we switch the equation on either side of the equals sign, we could add to this...
• 100 = 63 + 37
• 100 = 37 + 63
• 37 = 100 - 63
• 63 = 100 - 37

So there would be a total of 8 facts for every number bond fact that we would want children to be able to find!

The sheets below will help you child to learn their number bonds to 100 and accompanying facts!

Number Bonds to 50

• Number Bonds to 50 Sheet 1
• PDF version
• Number Bonds to 50 Sheet 2

Number Bonds to 100 with Blocks

These sheets use place value blocks partially filled to help find out the missing number bond to 100.

• Number Bonds to 100 with Blocks Sheet 1
• Number Bonds to 100 with Blocks Sheet 2

Number Bonds Worksheets to 100 - Bar Model missing facts

These number bonds worksheets involve working out the 4 related facts for each bar model.

• Number Bonds to 100 Sheet 1
• Number Bonds to 100 Sheet 2

Numbers Bonds to 100 - Related Facts

• Number Bonds to 100 Sheet 3
• Number Bonds to 100 Sheet 4

Numbers Bonds Worksheets to 100 - Quick Practice

• Number Bonds to 100 Sheet 5
• Number Bonds to 100 Sheet 6

Numbers Bonds Worksheets to 100 - Mastery

• Number Bonds to 100 Sheet 7

Number Bonds to 100 Walkthrough Video

This short video walkthrough shows several problems from our Number Bonds to 100 Worksheet 5 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Online Number Bonds Practice

In our Number Bonds Practice area, you can practice your number bonds to a variety of numbers. Test your numbers bonds to 10, 20 , 100 or even 1000. Want to try decimals - you can do that too!

Select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

• Number Bonds Practice Zone
• Number Bonds Printable Worksheets Generator

Our new number bonds worksheet generator will allow you to create your own printable number bonds worksheets.

You can choose from a range of values from whole numbers to decimals.

You can also choose to use addition questions, subtraction questions or both.

Graded Number Bond Sheets

If you are looking for more easier sheets, then have a go at the sheets in this section.

The sheets on this webpage focus on number bonds to 10 and 12.

• Decimal Number Bonds to 1

Third Grade Place Value Worksheets

Here you will find a range of Free Printable 3rd Grade Place Value Worksheets.

The following worksheets involve different Third Grade place value activities such as counting in thousands, hundreds, tens and ones, reading, writing and ordering numbers to 10,000, and know what number each digit represents.

• learn their place value with 4 digit numbers;
• use place value models to understand how to combine thousands, hundreds, tens and ones;
• understand the value of each digit in a 4 digit number;
• Place Value Models 4 Digits
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• Ordering 4-Digit Numbers
• 3rd Grade Math Puzzles

Here you will find a range of printable 3rd grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction and multiplication facts as well as developing their thinking and reasoning skills in a fun and engaging way.

Using these puzzles will help your child to:

• learn and practice their addition facts to 100;
• practice adding multiples of 10;
• practice their subtraction facts to 100;
• practice multiplication and division facts;
• develop problem solving skills and reasoning.

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This quick quiz tests your knowledge and skill with Number Bonds to 50 and 100.

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Addition and Subtraction : Number Bonds to 100 and Word Problems FREE Worksheets

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

2 July 2020

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This resource contains two worksheets on number bonds to 100 and word problems involving addition and subtraction up to and within 100 taken from a workbook designed to support the delivery of the Year 2 Number: Addition and Subtraction Block 2 - Autumn Term White Rose (WRM) ‘small steps’ programme. Click on the link for more details.

Year 2 Number: Addition and Subtraction Block 2 - Autumn Term Workbook 2

This is a 20 page workbook (with answers and progress check) of mastery maths resources to support the delivery of the Year 2 Number: Addition and Subtraction Block 2 - Autumn Term White Rose (WRM) ‘small steps’ programme. These resources are for Week 2.

The workbook contains 20 worksheets / activities (concrete, pictorial and abstract) linked to the White Rose small steps with an emphasis on the mastery approach to learning advocated by the White Rose scheme and includes reasoning and problem-solving tasks. The workbooks are available in both PDF and word format to enable editing and personalisation of the workbook.

The resources focus on the following objectives and small steps:

Year 2 Maths’ National Curriculum Objectives

Recall and use addition and subtraction facts to 20 fluently Derive and use related facts up to 100 Add and subtract numbers using concrete objects, pictorial representations, and mentally, including: a two-digit number and ones; a two-digit number and tens; two two-digit numbers; adding three one-digit numbers Show that the addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot. Solve problems with addition and subtraction: using concrete objects and pictorial representations, including those involving numbers, quantities and measures; applying their increasing knowledge of mental and written methods. Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

White Rose Small Steps

Bonds to 100 (tens) Add and subtract 1s 10 more and 10 less Add and subtract 10s

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Number Bonds to 100

• Number Bonds to 100 are pairs of numbers that add together to make 100.
• To find the number bond that pairs with 28 to make 100, we think of the number that we add to 28 to make 100.
• We can add 2 to 28 to make the next multiple of 10, which is 30.
• Now from 30, we just add 70 to make 100.
• In total we have added 70 + 2.
• 28 and 72 are number bond pairs that add to make 100.

• In this number bond example, we are asked which number pairs with 64 to make 100.
• First we add 6 to get to the next multiple of ten, which is 70.
• From 70, we need to add 30 more to make 100.
• Our number bond that pairs with 64 to make one hundred is 36.

• Number Bonds to 10
• Number Bonds to Twenty

Introducing Number Bonds to 100 with Multiples of 10

Number Bonds to 100 Interactive Questions

Number bonds to 100 worksheets and answers.

Number Bonds to 100 Part-Part-Whole Model Worksheets

What are Number Bonds to 100?

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Free printable pdf mental arithmetic worksheets for children aged 4-11, number bonds to 100 worksheets.

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Word Problems — Number Bonds to 100 (Year 3)

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This worksheet gives children lots of practice solving various word problems on the topic of number bonds to 100.

Answers are provided.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Addition & Subtraction
• Topic Group: Calculations
• Year(s): Year 3
• Media Type: PDF
• Resource Type: Activities & Games
• Last Updated: 24/10/2023
• Resource Code: M2WAE105
• Curriculum Point(s): Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

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Bonds to 100 (tens and ones): Reasoning and Problem Solving

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Solve Problems on Number Bonds

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Solve Problems on Number Bonds - 1 to 100 and 100 to 1000 - Sub Topics

Examples on number bonds, solve problems on number bonds up to 100, solve problems on number bonds up to 1000, addition number bonds, subtraction number bonds, multiplication number bonds, division number bonds.

• Solved Questions on Number Bonds
• Worksheet on Number Bonds

Number bond is a mathematical concept used to help young children understand the relationships between numbers and their parts. It describes the relationship between a number and the combinations of smaller numbers that make it up.

For example , the number bond for 7 could be represented as 7 = 3 + 4, showing that 7 can be made up of the combination of 3 and 4. Number bonds are a visual representation that can help children understand basic addition and subtraction concepts and build a foundation for more advanced mathematical thinking.

Example 1: 8 + 4 = 12 Solution:  8 and 4 are the two numbers, and 12 is the third number that represents the sum of 8 and 4.

Example 2: 10 - 6 = 4 Solution:  10 and 6 are the two numbers, and 4 is the third number that represents the difference between 10 and 6.

Problem 3: 6 x 3 = 18 Solution:  6 and 3 are the two numbers, and 18 is the third number that represents the product of 6 and 3.

Number bonds up to 100 are pairs of numbers that add up to give the sum as 100.

For example, 25 and 75 are a number bond for 100, because 25 + 75 = 100.

Some other number bonds for 100 are:

i) 50 and 50 ii) 40 and 60 iii) 30 and 70 iv) 20 and 80 v) 10 and 90

Number bonds up to 1000 are pairs of numbers that add up to give the sum as 1000.

For example, 250 and 750 are a number bond for 1000, because 250 + 750 = 1000.

Some other number bonds for 1000 are:

i) 500 and 500 ii) 400 and 600 iii) 300 and 700 iv) 200 and 800 v) 100 and 900

Number bonds can help us with addition, subtraction and division.

Number bonds are relationships between numbers that show how they can be combined to make a whole. In addition, number bonds show how two or more numbers add up to a certain sum.

For example, a number bond for the number 7 would look like this:

i) 7 = 1 + 6 ii) 7 = 2 + 5 iii) 7 = 3 + 4 iv) 7 = 7 + 0

These number bonds show that 7 can be made up of different combinations of numbers, such as 1 and 6, 2 and 5, 3 and 4 or just 7 by itself. This concept is useful for helping young children understand addition and how numbers can be combined to make different sums.

Subtraction number bonds are pairs of numbers that when subtracted from each other, equals a certain number.

For example, the number bond of 10 is (10, 0), (11, 1), (12, 2), and so on.

i) 10 – 0 = 10 ii) 11 – 1 = 10 iii) 12 – 2 = 10 iv) 13 – 3 = 10

These number bonds help in understanding subtraction by breaking down the problem into smaller parts and finding the relationship between the numbers. Number bonds also help visualise subtraction and make it easier to perform mentally.

Number bonds in multiplication refer to the pairs of numbers that can be multiplied together to get a third number.

For example, if you multiply 2 and 3, you get 6. So, 2 and 3 are number bonds for 6. Generally, for any number n, the number bonds for n are all the pairs of numbers that can be multiplied to get n.

Here are some examples of number bonds for some common numbers:

i) 6: (1 x 6), (2 x 3) ii) 9: (1 x 9), (3 x 3) iii) 12: (1 x 12), (2 x 6), (3 x 4) iv) 16: (1 x 16), (2 x 8), (4 x 4)

Division number bonds are pairs of numbers that, when divided, equals a given number.

For example, if you have the number 8, the division number bonds would be:

i) 16 ÷ 2 = 8 ii) 24 ÷ 3 = 8 iii) 32 ÷ 4 = 8 iv) 64 ÷ 8 = 8

These division number bonds can be useful in helping students understand division as an inverse operation of multiplication, as well as helping with problem-solving and memorizing division facts.

Number bonds are a mathematical concept used to help young children understand the relationships between numbers and their parts. They describe the relationships between a number and the combinations of smaller numbers that make it up.

For example, the number bond for 7 could be represented as 7 = 3 + 4, showing that 7 can be made up of the combination of 3 and 4. Number bonds are a visual representation that can help children understand basic addition and subtraction concepts and build a foundation for more advanced mathematical thinking.

Subtraction number bonds are pairs of numbers that when subtracted from each other, equal a certain number.

Division number bonds are pairs of numbers that, when divided, equal a given number.

These division number bonds can be useful in helping students understand division as an inverse operation of multiplication, as well as helping with problem-solving and division facts memorization.

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Bonds to 100 - Tens Lesson

This Year 2 Bonds to 100 - Tens lesson covers the prior learning of bonds to 10, before moving onto the main skill of finding bonds to 100.

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 Objective Mathematics Year 2: (2C1)  Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100

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Lesson Slides

These lesson slides guide pupils through the prior learning of bonds to 10, before moving onto the main skill of bonds to 100 - tens. 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.

Video Tutorial

In this Bonds to 100 Video Tutorial, Katie shows pupils how to use bonds to 10 to solve addition and subtraction calculations totalling 100.

1 Prior Learning

Interactive Activity

This Year 1 Number Bonds to 10 Game is designed to check pupils' understanding of finding all number bonds to 10.

2 Practical Activities

Supporting Activities

This bonds to 100 - tens supporting activities sheet contains suggestions for additional tasks you might wish to use to support pupils' understanding of the concepts taught in the lesson.

2 Varied Fluency

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

Interactive Animation

This Year 2 Bonds to 100 Interactive Animation aims to support pupils’ knowledge of number bonds.

2 Reasoning & Problem Solving

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

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.

This bonds to 100 - tens extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the bonds to 100 - tens lesson.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of bonds to 100 - tens.

Interactive Challenge Activity

This Year 2 Bonds to 100 - Tens Maths Challenge is designed to check pupils' ability to create bonds to 100 with multiples of 10.

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

2 Additional Activities

Home Learning Pack

This Autumn week 5 Maths pack contains varied fluency, reasoning and problem solving worksheets

Consolidation Pack

This resource is aimed at Year 2 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 2 – Addition and Subtraction.

Learning Video Clip

Cleo visits Victorian London. She visits a busy mill and helps the employees with some of their problem by using bonds to 100.

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Number frame number bonds (within 20) | Mastery Cards

Problem solving and reasoning cards allowing children to solve complex problems in various contexts for number frame number bonds.

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