problem solving involving addition subtraction and multiplication

Mixed Operations Math Worksheets

Welcome to the mixed operations worksheets page at Math-Drills.com where getting mixed up is part of the fun! This page includes Mixed operations math worksheets with addition, subtraction, multiplication and division and worksheets for order of operations. We've started off this page by mixing up all four operations: addition, subtraction, multiplication, and division because that might be what you are looking for. If you're looking for something a little more specific, just scroll down to find the mixed addition/subtraction worksheets, mixed addition/subtraction/multiplication worksheets and the mixed multiplication/division worksheets.

Once students are fairly comfortable with worksheets that only challenge them to use one operation, they might get slightly complacent about paying attention to the operation being used. This is where mixed operations worksheets help; they encourage students to notice and use the correct operation. Observation skills related to operational signs, we have found, are quite beneficial to student achievement in mathematics. They are also beneficial when calculating how much material is needed to pave a road. Don't leave your students short! Get them noticing the signs today!

Most Popular Mixed Operations Math Worksheets this Week

Mixed Addition and Subtraction Worksheets

Whether you're trying to teach the relationship between addition and subtraction, you're testing a student's mastery of their addition and subtraction facts, or you want some practice worksheets to turn your student into a future engineer, these addition and subtraction worksheets have what you need.

• Adding and Subtracting Facts (100 Questions per Page) Adding and Subtracting Facts from 1 to 5 (100 Questions per Page) Adding and Subtracting Facts from 1 to 7 (100 Questions per Page) Adding and Subtracting Facts from 0 to 9 (100 Questions per Page) Adding and Subtracting Facts from 1 to 9 (100 Questions per Page) Adding and Subtracting Facts from 1 to 10 (100 Questions per Page) Adding and Subtracting Facts from 1 to 12 (100 Questions per Page) Adding and Subtracting Facts from 1 to 15 (100 Questions per Page) Adding and Subtracting Facts from 1 to 20 (100 Questions per Page)
• Retro Adding and Subtracting Facts Worksheets (Retro) One Digit Addition and Subtraction No Regrouping (Retro) One Digit Addition and Subtraction (49 per page) (Retro) Adding and Subtracting Facts from 1 to 10 (50 Questions per Page) (Retro) Single-Digit Addition and Subtraction with No Regrouping
• Adding and Subtracting Facts (25 Large Print Questions per Page) Adding and Subtracting Facts from 1 to 5 (25 Questions per Page) Adding and Subtracting Facts from 1 to 7 (25 Questions per Page) Adding and Subtracting Facts from 0 to 9 (25 Questions per Page) Adding and Subtracting Facts from 1 to 9 (25 Questions per Page) Adding and Subtracting Facts from 1 to 10 (25 Questions per Page) Adding and Subtracting Facts from 1 to 12 (25 Questions per Page) Adding and Subtracting Facts from 1 to 15 (25 Questions per Page) Adding and Subtracting Facts from 1 to 20 (25 Questions per Page)
• Horizontally Arranged Adding and Subtracting Facts Horizontally Arranged Adding and Subtracting Facts from 1 to 5 (100 Questions per Page) Horizontally Arranged Adding and Subtracting Facts from 1 to 7 (100 Questions per Page) Horizontally Arranged Adding and Subtracting Facts from 0 to 9 (100 Questions per Page) Horizontally Arranged Adding and Subtracting Facts from 1 to 9 (100 Questions per Page) Horizontally Arranged Adding and Subtracting Facts from 1 to 10 (100 Questions per Page) Horizontally Arranged Adding and Subtracting Facts from 1 to 12 (100 Questions per Page) Horizontally Arranged Adding and Subtracting Facts from 1 to 15 (100 Questions per Page) Horizontally Arranged Adding and Subtracting Facts from 1 to 20 (100 Questions per Page)
• Adding and Subtracting Multiple One-Digit Numbers Horizontally Adding and Subtracting 3 One-Digit Numbers Horizontally Adding and Subtracting 4 One-Digit Numbers Horizontally Adding and Subtracting 5 One-Digit Numbers Horizontally Adding and Subtracting 10 One-Digit Numbers Horizontally
• Adding and Subtracting Two-Digit Numbers 100 2-Digit Addition and Subtraction Questions with Sums/Minuends to 99 100 2-Digit Addition and Subtraction Questions with Sums/Minuends to 198
• Adding and Subtracting Multiple Two-Digit Numbers Horizontally Adding and Subtracting 3 Two-Digit Numbers Horizontally Adding and Subtracting 4 Two-Digit Numbers Horizontally Adding and Subtracting 5 Two-Digit Numbers Horizontally Adding and Subtracting 10 Two-Digit Numbers Horizontally
• Long Addition and Subtraction with Some Regrouping 2-Digit Plus/Minus 2-Digit Addition and Subtraction with Some Regrouping 3-Digit Plus/Minus 2-Digit Addition and Subtraction with Some Regrouping 3-Digit Plus/Minus 3-Digit Addition and Subtraction with Some Regrouping 4-Digit Plus/Minus 3-Digit Addition and Subtraction with Some Regrouping 4-Digit Plus/Minus 4-Digit Addition and Subtraction with Some Regrouping 5-Digit Plus/Minus 4-Digit Addition and Subtraction with Some Regrouping 5-Digit Plus/Minus 5-Digit Addition and Subtraction with Some Regrouping Mixed 1-Digit to 3-Digit Addition and Subtraction with Some Regrouping Mixed 1-Digit Plus/Minus 1-Digit to 3-Digit Plus/Minus 3-Digit Addition and Subtraction with Some Regrouping
• Long Addition and Subtraction with No Regrouping 2-Digit Addition and Subtraction with No Regrouping 3-Digit Addition and Subtraction with No Regrouping 4-Digit Addition and Subtraction with No Regrouping 5-Digit Addition and Subtraction with No Regrouping 6-Digit Addition and Subtraction with No Regrouping
• Long Addition and Subtraction with Some Regrouping (Large Print) 2-Digit Addition and Subtraction with Sums and Minuends up to 99 (25 Large Print Questions) 2-Digit Addition and Subtraction with Sums and Minuends up to 99 (12 Large Print Questions)

Mixed Multiplication and Division Worksheets

These multiplication and division worksheets are useful for students to see the relationship between multiplication and division. Working backwards from multiplication facts to division facts is a valuable skill to have for any student.

• Multiplying and Dividing Facts (100 Questions per Page) 100 Vertical Multiplying/Dividing 1 to 5 100 Vertical Multiplying/Dividing 1 to 7 100 Vertical Multiplying/Dividing 0 to 9 100 Vertical Multiplying/Dividing 1 to 9 100 Vertical Multiplying/Dividing 1 to 10 100 Vertical Multiplying/Dividing 1 to 12 100 Vertical Multiplying/Dividing 1 to 15 100 Vertical Multiplying/Dividing 1 to 20
• Multiplying and Dividing Facts (25 Large Print Questions per Page) 25 Large Print Vertical Multiplying/Dividing 1 to 5 25 Large Print Vertical Multiplying/Dividing 1 to 7 25 Large Print Vertical Multiplying/Dividing 0 to 9 25 Large Print Vertical Multiplying/Dividing 1 to 9 25 Large Print Vertical Multiplying/Dividing 1 to 10 25 Large Print Vertical Multiplying/Dividing 1 to 12 25 Large Print Vertical Multiplying/Dividing 1 to 15 25 Large Print Vertical Multiplying/Dividing 1 to 20
• Multiplying and Dividing Individual Facts (100 Questions per Page) 100 Vertical Multiplying/Dividing by 1 100 Vertical Multiplying/Dividing by 2 100 Vertical Multiplying/Dividing by 3 100 Vertical Multiplying/Dividing by 4 100 Vertical Multiplying/Dividing by 5 100 Vertical Multiplying/Dividing by 6 100 Vertical Multiplying/Dividing by 7 100 Vertical Multiplying/Dividing by 8 100 Vertical Multiplying/Dividing by 9 100 Vertical Multiplying/Dividing by 10 100 Vertical Multiplying/Dividing by 11 100 Vertical Multiplying/Dividing by 12
• Multiplying and Dividing Individual Facts (25 Large Print Questions per Page) 25 Large Print Vertical Multiplying/Dividing by 1 25 Large Print Vertical Multiplying/Dividing by 2 25 Large Print Vertical Multiplying/Dividing by 3 25 Large Print Vertical Multiplying/Dividing by 4 25 Large Print Vertical Multiplying/Dividing by 5 25 Large Print Vertical Multiplying/Dividing by 6 25 Large Print Vertical Multiplying/Dividing by 7 25 Large Print Vertical Multiplying/Dividing by 8 25 Large Print Vertical Multiplying/Dividing by 9 25 Large Print Vertical Multiplying/Dividing by 10 25 Large Print Vertical Multiplying/Dividing by 11 25 Large Print Vertical Multiplying/Dividing by 12
• Horizontally Arranged Multiplying and Dividing Facts (100 Questions per Page) 100 Horizontal Multiplying/Dividing 1 to 5 100 Horizontal Multiplying/Dividing 1 to 7 100 Horizontal Multiplying/Dividing 0 to 9 100 Horizontal Multiplying/Dividing 1 to 9 100 Horizontal Multiplying/Dividing 1 to 10 100 Horizontal Multiplying/Dividing 1 to 12 100 Horizontal Multiplying/Dividing 1 to 15 100 Horizontal Multiplying/Dividing 1 to 20
• Retro Horizontally Arranged Multiplying and Dividing Facts (Retro) Multiplication and Division Facts 1 to 9 (Retro) Multiplication and Division Facts 1 to 12 (Retro) Multiplication and Division Facts 6 to 12

The European format versions are made to fit on A4 paper and use a colon instead of an obelus for the division sign and a dot instead of an × for the multiplication sign.

• European Format Horizontally Arranged Multiplying and Dividing Facts European Format 100 Horizontal Multiplying/Dividing 1 to 5 European Format 100 Horizontal Multiplying/Dividing 1 to 7 European Format 100 Horizontal Multiplying/Dividing 0 to 9 European Format 100 Horizontal Multiplying/Dividing 1 to 9 European Format 100 Horizontal Multiplying/Dividing 1 to 10 European Format 100 Horizontal Multiplying/Dividing 1 to 12 European Format 100 Horizontal Multiplying/Dividing 1 to 15 European Format 100 Horizontal Multiplying/Dividing 1 to 20

Mixed Addition, Subtraction and Multiplication Worksheets

Sometimes division is that one extra little step that students haven't quite mastered, so the following worksheets exclude division. Whether you are differentiating the learning in your classroom or want something for the whole group, you will probably find it here.

• Adding, Subtracting and Multiplying Facts (100 Questions per Page) 100 Vertical Adding/Subtracting/Multiplying 1 to 5 100 Vertical Adding/Subtracting/Multiplying 1 to 7 100 Vertical Adding/Subtracting/Multiplying 0 to 9 100 Vertical Adding/Subtracting/Multiplying 1 to 9 100 Vertical Adding/Subtracting/Multiplying 1 to 10 100 Vertical Adding/Subtracting/Multiplying 1 to 12 100 Vertical Adding/Subtracting/Multiplying 1 to 15 100 Vertical Adding/Subtracting/Multiplying 1 to 20
• Adding, Subtracting and Multiplying Facts (25 Large Print Questions per Page) 25 Large Print Vertical Adding/Subtracting/Multiplying 1 to 5 25 Large Print Vertical Adding/Subtracting/Multiplying 1 to 7 25 Large Print Vertical Adding/Subtracting/Multiplying 0 to 9 25 Large Print Vertical Adding/Subtracting/Multiplying 1 to 9 25 Large Print Vertical Adding/Subtracting/Multiplying 1 to 10 25 Large Print Vertical Adding/Subtracting/Multiplying 1 to 12 25 Large Print Vertical Adding/Subtracting/Multiplying 1 to 15 25 Large Print Vertical Adding/Subtracting/Multiplying 1 to 20
• Horizontally Arranged Adding, Subtracting and Multiplying Facts (100 Questions per Page) 100 Horizontal Adding/Subtracting/Multiplying 1 to 5 100 Horizontal Adding/Subtracting/Multiplying 1 to 7 100 Horizontal Adding/Subtracting/Multiplying 0 to 9 100 Horizontal Adding/Subtracting/Multiplying 1 to 9 100 Horizontal Adding/Subtracting/Multiplying 1 to 10 100 Horizontal Adding/Subtracting/Multiplying 1 to 12 100 Horizontal Adding/Subtracting/Multiplying 1 to 15 100 Horizontal Adding/Subtracting/Multiplying 1 to 20
• European Format Horizontally Arranged Adding, Subtracting and Multiplying Facts (100 Questions per Page) European Format 100 Horizontal Adding/Subtracting/Multiplying 1 to 5 European Format 100 Horizontal Adding/Subtracting/Multiplying 1 to 7 European Format 100 Horizontal Adding/Subtracting/Multiplying 0 to 9 European Format 100 Horizontal Adding/Subtracting/Multiplying 1 to 9 European Format 100 Horizontal Adding/Subtracting/Multiplying 1 to 10 European Format 100 Horizontal Adding/Subtracting/Multiplying 1 to 12 European Format 100 Horizontal Adding/Subtracting/Multiplying 1 to 15 European Format 100 Horizontal Adding/Subtracting/Multiplying 1 to 20

All Arithmetic Operations Mixed Worksheets

Time to mix it up! We have included a mixture of multiple operations worksheets for many different levels. Choose the one that is most appropriate for your student.

• Adding, Subtracting, Multiplying and Dividing Facts (100 Questions per Page) 100 Vertical Mixed Operations 1 to 5 100 Vertical Mixed Operations 1 to 7 100 Vertical Mixed Operations 0 to 9 100 Vertical Mixed Operations 1 to 9 100 Vertical Mixed Operations 1 to 10 100 Vertical Mixed Operations 1 to 12 100 Vertical Mixed Operations 1 to 15 100 Vertical Mixed Operations 1 to 20
• Adding, Subtracting, Multiplying and Dividing Facts (25 Large Print Questions per Page) 25 Large Print Vertical Mixed Operations 1 to 5 25 Large Print Vertical Mixed Operations 1 to 7 25 Large Print Vertical Mixed Operations 0 to 9 25 Large Print Vertical Mixed Operations 1 to 9 25 Large Print Vertical Mixed Operations 1 to 10 25 Large Print Vertical Mixed Operations 1 to 12 25 Large Print Vertical Mixed Operations 1 to 15 25 Large Print Vertical Mixed Operations 1 to 20
• Retro Adding, Subtracting, Multiplying and Dividing Facts (Retro) Mixed Operations Junior Level (Retro) Mixed Operations with Missing Digits (Retro) Long and Short Questions (Mixed Operations)
• Horizontally Arranged Adding, Subtracting, Multiplying and Dividing Facts (100 Questions per Page) 100 Horizontal All Operations 1 to 5 100 Horizontal All Operations 1 to 7 100 Horizontal All Operations 0 to 9 100 Horizontal All Operations 1 to 9 100 Horizontal All Operations 1 to 10 100 Horizontal All Operations 1 to 12 100 Horizontal All Operations 1 to 15 100 Horizontal All Operations 1 to 20

The Euro format versions are made to fit on A4 paper and use a colon instead of an obelus for the division sign and a dot instead of an × for the multiplication sign.

• European Format Horizontally Arranged Adding, Subtracting, Multiplying and Dividing Facts (100 Questions per Page) European Format 100 Horizontal All Operations 1 to 5 European Format 100 Horizontal All Operations 1 to 7 European Format 100 Horizontal All Operations 0 to 9 European Format 100 Horizontal All Operations 1 to 9 European Format 100 Horizontal All Operations 1 to 10 European Format 100 Horizontal All Operations 1 to 12 European Format 100 Horizontal All Operations 1 to 15 European Format 100 Horizontal All Operations 1 to 20

Input/Output Tables

• Addition and Subtraction Input/Output Tables Addition Input/Output Tables (Facts 1 to 9) Addition Input/Output Tables (Facts 1 to 12 ) Subtraction Input/Output Tables (Facts 1 to 9) Subtraction Input/Output Tables (Facts 1 to 12 ) Addition and Subtraction Input/Output Tables (Facts 1 to 9) Addition and Subtraction Input/Output Tables (Facts 1 to 12 )
• Multiplication and Division Input/Output Tables Multiplication Input/Output Tables (Facts 1 to 9) Multiplication Input/Output Tables (Facts 1 to 12 ) Division Input/Output Tables (Facts 1 to 9) Division Input/Output Tables (Facts 1 to 12 ) Multiplication and Division Input/Output Tables (Facts 1 to 9) Multiplication and Division Input/Output Tables (Facts 1 to 12 )
• All Operations Input/Output Tables All Operations Input/Output Tables (Facts 1 to 9) All Operations Input/Output Tables (Facts 1 to 9) (Blank Inputs or Outputs) All Operations Input/Output Tables (Facts 1 to 12 ) All Operations Input/Output Tables (Facts 1 to 12 ) (Blank Inputs or Outputs ) All Operations ( Input 10-99 ) ( Rule 1-9 )

Mixed Operations in Other Base Number Systems

Adding, subtracting, multiplying and dividing numbers in number systems other than decimal numbers including binary, quaternary, octal, duodecimal and hexadecimal numbers.

• Adding and Subtracting in Other Base Numbers Systems Adding and Subtracting Binary Numbers (Base 2) Adding and Subtracting Ternary Numbers (Base 3) Adding and Subtracting Quaternary Numbers (Base 4) Adding and Subtracting Quinary Numbers (Base 5) Adding and Subtracting Senary Numbers (Base 6) Adding and Subtracting Octal Numbers (Base 8) Adding and Subtracting Duodecimal Numbers (Base 12) Adding and Subtracting Hexadecimal Numbers (Base 16) Adding and Subtracting Vigesimal Numbers (Base 20) Adding and Subtracting Hexatrigesimal Numbers (Base 36) Adding and Subtracting Various Numbers (Various Bases)
• Multiplying and Dividing in Other Base Numbers Systems Multiplying and Dividing Binary Numbers (Base 2) Multiplying and Dividing Ternary Numbers (Base 3) Multiplying and Dividing Quaternary Numbers (Base 4) Multiplying and Dividing Quinary Numbers (Base 5) Multiplying and Dividing Senary Numbers (Base 6) Multiplying and Dividing Octal Numbers (Base 8) Multiplying and Dividing Duodecimal Numbers (Base 12) Multiplying and Dividing Hexadecimal Numbers (Base 16) Multiplying and Dividing Vigesimal Numbers (Base 20) Multiplying and Dividing Hexatrigesimal Numbers (Base 36) Multiplying and Dividing Various Numbers (Various Bases)
• All Operations in Other Base Numbers Systems All Operations with Binary Numbers (Base 2) All Operations with Ternary Numbers (Base 3) All Operations with Quaternary Numbers (Base 4) All Operations with Quinary Numbers (Base 5) All Operations with Senary Numbers (Base 6) All Operations with Octal Numbers (Base 8) All Operations with Duodecimal Numbers (Base 12) All Operations with Hexadecimal Numbers (Base 16) All Operations with Vigesimal Numbers (Base 20) All Operations with Hexatrigesimal Numbers (Base 36) All Operations with Various Numbers (Various Bases)

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Problem Solving Addition Subtraction and Multiplication

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Problem Solving Mixed Operations (Addition Subtraction and Multiplication)

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These multiple-step word problems require students to use reasoning and critical thinking skills to determine how each problem can be solved.

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Solve problems involving addition, subtraction, multiplication and division

New Maths Curriculum (2014): Year 6 objectives.

Related Worksheets

Y6 arithmetic practice.

This activity provides practice of the types of questions that appear in the Y6 Arithmetic test.

All questions are based on those that have appeared in the Year 6 Arithmetic tests from 2016-2018. We have not included questions that require a written method of calculation. There are hundreds of potential questions. Ideal for assessing gaps and progress.

Results can be saved and printed at the end of the test.

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Y6 - Number – Addition, Subtraction, Multiplication and Division - Interactive Quiz

An interactive quiz which test your understanding of all the Number – Addition, Subtraction, Multiplication and Division objectives in the Year 6 curriculum.

Alternatively, you can use the  Interactive Maths Quiz  which includes objectives from all strands of the Year 6 curriculum.

This quiz tests the following objectives:

Thinking of a Number

Use inverse operations to work backwards and find a missing number.

Missing Symbols

Drag the symbols to the correct position to make the number sentence correct. Lots of levels to play. See if you can improve your score over time.

For more multiplication and division resources click here.

For more addition and subtraction resources click here.

This game is now part of the 'Calculations' collection, which includes the following 17 games and resources: Column Addition, Expanded Addition, Expanded Addition - Place Value Counters, Number Bonds(2), Addition - Digit Drag, Missing Symbols, Column Subtraction, Column Subtraction using Place Value Counters, Counting on to find difference on a beadstring, Multiplication Grid Method, Multiplication Written Method, Ratio and Scaling Numbers, Representing Multiplication, Division by Chunking Up, Division by Chunking Down, Formal Written Division - Round Up or Down?, Short Division Writen Formal Method.

The Calculations app is available on Google Play and the App Store.

Round up or down after division

Answer division word problems using a calculator and decide whether the answer needs to be rounded up or down depending on the context of the question

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Balance scales - add, move or remove a weight

Balance the scales by adding, moving or removing a weight. A great mental starter to develop addition and subtraction skills.

Maths Maze Monsters - Multiplication

Answer the multiplication questions so you can eat your opponent and steal their points. Play in one player or two player mode. You will need to lock your iPad / tablet to portrait mode to play.

Marlon's Magical Maths Mission - Multiplication

Help Marlon defeat the evil beasts with your multiplication knowledge.

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Maths Maze Monsters - Subtraction

Tommy's Trek - Division

A fun platformer game that helps develop addition skills. Lots of choice over level. This game will work on any device.

Use the arrow keys to move Tommy. The ctrl key makes him jump and the up arrow selects a number.

Archery Arithmetic - Multiplication

Choose which times tables to practise. Answer questions as quickly as possible and you will get more time to aim your arrow. Play on your own or against a partner. Who can score the most points in your class?

Formal Written Division - Round Up or Down?

Answer a word problem by using either long division or short division and then round your answer according to the context.

Maths Race - Multiplication

Steer your car to the correct answer and avoid the hazards. See how quickly you can complete the course. This game will work on any device in your browser.

Choose to practise a times table or choose all objectives (taken from the National Curriculum) for your year group.

Tommy's Trek - Addition

Balancing Calculations

Find the missing number to balance the calculations. An excellent tool for reinforcing an understanding of the role of the equals sign. Choose one objective, or many. You can choose all the objectives for a single year group (or multiple year groups). You can also choose to balance between different types of calculations (eg subtraction and division)

Balancing scales - convert between g and kg

The scale is loaded with between 1 and 4 weights. The user then has to balance the scales, converting between g and kg in the process. There is a great deal of control over the level.

A great starter to explore addition, subtraction / difference and partitioning as well as the relationship between grams and kilog More… rams. Levels include converting whole kg to g (and vice versa), converting fractions of kg (eg 1/4kg = 250g) and weights in kg to 1 and 2 decimal places.

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Maths Race - Subtraction

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Addition - Digit Drag

Drag the digits to make a given sum. Lots of choice over level. A great starter activity for discussions on place value, mental methods of calculations and problem solving.

Adding Decimals - Digit Drag

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Reading Scales - Capacity Word Problems

Read the scales on the measuring cylinder and answer word problems involving addition and subtraction. Play against the clock for points.

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Adding Money - Digit Drag

A challenging game in which you have to drag the digit cards to make the correct amount of money. Great for developing problem solving skills, generating 'rules' and encouraging trial and improvement.

Solve 2 Step Money Problems

Read and interpret 2 step word problems using a variety of contexts. This version will work on any device.

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Long Division - Formal Written Method

Divide numbers using the formal method for long division. Choose to show remainders, or to express them as a fraction in their simplest form.

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Can be used to demonstrate or practise a formal method of short division.

Maths Race - Division

Tommy's Trek - Subtraction

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Solving Multi-Step Addition and Subtraction Word Problems

Solving multi-step addition and subtraction word problems can help students see the relationship between operations, as well as practice their calculations.  When I teach subtraction, I also like to show how students can use addition to check their work!  Students often think that they are done when they arrive at the answer, but it is my mission to show them that they can do just one more step to check and make sure their work is correct.  Addition and subtraction work together to help each other out.

The Art of Check Writing

Although the art of writing a check and balancing a checkbook is going away, those processes still have great value for practicing addition and subtraction.  I like to present math problems with money, budgets and purchasing items, but these days students tell me just to “charge it to a card”.  I have been tempted to find my old carbon copy paper receipts and bring them into class.  Just the other week, we had our lawnmower repaired.  The man ran a small, old business and he wrote out all of the receipts and transactions by hand, using the box with carbon copy receipts.  He wrote down the price of the parts, added the taxes and charges, and summed it up – BY HAND!  The only thing missing for a good math problem was writing the word form onto a check.

Set up Shop in Your Classroom

So I thought, why not create a shop in my classroom!  Students can be the shopkeepers and the customers, but no charge cards allowed!  Shopkeepers would have to write the receipt, and the customers would have to write a check for the exact amount.  The students would have to read scenarios and decide what to buy.  I could even give them a budget or a sales goal and they would have to periodically check the difference by subtracting.  It would be a lesson embedded in real life addition and subtraction word problems.

Set up for Solving Multi-Step Addition and Subtraction Word Problems

• Print or create price tags from page 6 of the worksheet for the list of items located pages 7-10.
• Set up “items” and pictures around the room. There are pictures provided on pages 7-10 on the worksheet , but you can always supplement or creatively add items of your own.
• Set up 5 shopkeeper stations with blank copies of “Receipts.” (See worksheet page 3)
• Set up each shop with a Sales Record to keep track of sales and income. Each shop has a distinct sales goal, such as $99, $250, $400, $505, $888.
• $99 – Bargain Basement
• $250 – Quarter Millie’s Party Store
• $400 – Four Double Zero
• $505 – 505 Faves
• $888 – Great Eights
• Provide each student with 6 blank checks and 1 balance sheet. (See worksheet pages 4-5.)
• Provide each student with a copy of the Addition and Subtraction Worksheet .
• If you have little bells or signs, you can set up the shopkeeper with things like an “Open/Closed” sign or “Ring bell for service”.

Launch the Solving Multi-Step Addition and Subtraction Word Problems

If you have time, set up some open/closed shop signs to create the feel of a store in the classroom.  You can even have students create a checkbook with their checks.

Introduce the activity by saying “Today we are going to go shopping!”  Explain that everyone will rotate through and get a chance to run a shop as well as go shopping for items on the worksheet.  The students will not actually pick up items and keep them, but you can have things on display or just have photos and a price list.

Explain the vocabulary and show an example of each: (All are found on the worksheet .)

this is used to write an exact amount of money.  It takes the money out of your bank account and gives it to the store or person it is written to when cashed at the bank.

Balance Sheet

This is a record of how much money you have and how much you spend.  The balance is the amount of money people have to spend.  Use the balance sheet to keep track of the money.  Tell the students that everyone starts with a balance of $445.00. The shoppers can write a brief description of what they buy in the white rows and then subtract the amount spent from the balance.  Explain that the students can do the subtraction vertically in the balance column.  The shaded rows show the running balance, and the white rows show how much is spent each time.  Subtract any money spent to get the new balance.Tell your students “When you reach zero – you are out of money!”

This is a set amount of money made from selling goods that sales people try to reach.  If you have a sales goal, you can subtract any sales to see how much more money you need to reach the goal.

This lists the items being purchased and how much they each cost.  The receipt also gives the total cost of the purchase.  It is a record to show the sale.

Use this scenario to model the work students will do:

“You walk into the store Four Double Zero and  decide to buy headphones for $125 and a case for $34.  What is your purchase price?”

Together, work through the addition.  Remind the students that BOTH the customer and the shopkeeper must do the addition.  Then the shopkeeper tells the customer what to pay.  (There are no taxes or charges unless indicated in the problem on the worksheet).

Pass Out Student Checkbooks

Give every student their checks or checkbook.  Use the first blank check to write the demo check together.  Every check must have:

• The name of the store or person you are writing the check to
• The purchase amount in word form
• The purchase amount in standard form
• The Memo line – items purchased

Then demonstrate the following:

• The customer must subtract: $455 – $159
• The Storekeeper must subtract it from the Sales Goal $400- $159

After the demo, space the students out among the stores.  Assign 1-2 students as shopkeepers at each shop and have the remaining students walk around and shop using the worksheet scenarios.

You can provide 5-10 minutes of shopping and then switch roles, or you can walk around and switch out shopkeepers as you see fit.

• Each student has a Budget of $455 for their entire shopping trip.
• The scenarios on the worksheet ask students to buy at least 2 items from each shop. Some of the word problems are set, others have a choice of items.
• Customers indicate the items and say the prices. The shopkeeper writes the prices and adds them up.  The Customer also adds them up and they check.
• Once the price is determined, the customer writes a check using standard and word form and the name of the store, then signs and dates it.
• The customer then subtracts the purchase from his/her running balance.
• The shopkeeper cashes the check, adds it to the sales list and subtracts it from the sales goal for that shop.
• Customers must check their balance after each purchase. Customers will keep a running balance throughout their shopping experience.
• Shopkeepers must check their Sales goals and how much more money they need after each customer. Shopkeepers can keep a running total while they are in charge of that shop.  However, when a new shopkeeper comes in, they must start with the original sales goal when subtracting.
• Depending on the class size, start each shop with 1-2 shopkeepers. Then have the remaining students go around to the available shopkeepers and work through their transactions.  Switch roles when appropriate.

Reflection on Solving Multi-Step Addition and Subtraction Word Problems

Walk around and help the shopkeepers and the customers as they work through the purchasing process.

At the end, share what people decided to buy and talk about the processes of making a transaction.

Ask questions such as:

• Which store did you like the best?
• Did you ever add up the numbers and get a different sum than the shopkeeper/customer? How did you resolve the price issue?
• Why do you need to subtract your purchases from the budget?
• How did you keep track of your purchases?
• Did any shopkeepers reach their sales goal before leaving their “shift”?
• In the end, how could you check the total amount of purchases you made today? Did you stay under budget?
• Did anyone go over their budget?
• Have students create a price list of items and write 4 of their own word problems. Give them a sales goal and come up with 4 different ways to reach that goal.  Can they hit the goal exactly?
• Research prices of items, but make sure the students find whole numbers.  (Many times ticket prices tend to be whole numbers).  Ask how much money the school would need to budget if the class went on a trip to that theater, sports game, or show.

FREE Solving Multi-Step Addition and Subtraction Word Problems Worksheets and Resources

These are all PDF Files. They will open and print easily. The Student Edition Files are labeled SE and the Teacher Editions Files are labeled TE. Click the links below to download the different resources.

2-4 Assignment SE – Solving Multi-Step Addition and Subtraction Word Problems 2-4 Assignment TE – Solving Multi-Step Addition and Subtraction Word Problems( Members Only ) 2-4 Bell Work SE – Solving Multi-Step Addition and Subtraction Word Problems (PDF) 2-4 Bell Work TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Exit Quiz SE – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Exit Quiz TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Exit Quiz SE – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Guided Notes TE – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Interactive Notebook – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Lesson Plan – Solving Multi-Step Addition and Subtraction Word Problems  (PDF) 2-4 Online Activities – Solving Multi-Step Addition and Subtraction Word Problems ( Members Only ) 2-4 Slide Show – Solving Multi-Step Addition and Subtraction Word Problems  (PDF)

Solving Multi-Step Addition and Subtraction Word Problems Worksheets and Resources

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2-4 Assignment Student Edition ( Doc – Members Only ) 2-4 Assignment Teacher Edition ( Doc – Members Only ) 2-4 Bell Work Student Edition ( Doc – Members Only ) 2-4 Bell Work Teacher Edition ( Doc – Members Only ) 2-4 Exit Quiz Student Edition ( Doc – Members Only ) 2-4 Exit Quiz Teacher Edition ( Doc – Members Only ) 2-4 Guided Notes Student Edition ( Doc – Members Only ) 2-4 Guided Notes Teacher Edition ( Doc – Members Only ) 2-4 Interactive Notebook ( Doc – Members Only ) 2-4 Lesson Plan ( Doc – Members Only ) 2-4 Online Activities ( Doc – Members Only ) 2-4 Slide Show ( PPT – Members Only )

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Don’t Forget to Pin this Activity on Multi-Step Addition and Subtraction Word Problems…

Want to see the rest of the activities for unit 2 – multi-digit whole number addition and subtraction.

• 2-1  Multi-Digit Whole Number Addition
• 2-2  Solving Two-Step Addition Word Problems
• 2-3  Multi-Digit Whole Number Subtraction
• 2-4  Solving Two-Step Subtraction Word Problems
• 2-5  Solving Multi-Step Addition and Subtraction Word Problems
• 2-6  Creating Word Problems Involving Addition and Subtraction

If you enjoyed the read, don’t forget to check out more of our blogs on PreCalculusCoach , GeometryCoach , Algebra2Coach , Algebra1Coach , and PreAlgebraCoach !

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3rd Grade Addition and Subtraction

Word problems.

Welcome to our 3rd Grade Addition and Subtraction Word Problems page. Here is our selection of free addition and subtraction word problem worksheets, which will help your child practice solving a range of addition and subtraction problems using 3-digit and 4-digit numbers.

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• 3 Digit Addition & Subtraction Word Problems
• 4 Digit Addition & Subtraction Word Problems
• 2-Step Addition & Subtraction Word Problems
• Easier Addition & Subtraction Worksheets
• More related resources
• Addition & Subtraction Word Problems up to 1000 Online Quiz

3-digit and 4-digit Word Problems

Each sheet consists of a range of 5 addition and subtraction word problems with numbers up to thousands.

There is a space on each sheet for working out, so that your child can write out the problem and solve it.

We have split the worksheets up into 3-digit word problems and 4-digit word problems.

Using these sheets will help your child to:

• add and subtract numbers with 3-digit and 4-digit numbers;
• solve addition and subtraction word problems with and without regrouping.
• recognise the language used in addition and subtraction - sum, total, difference, how many more, etc.
• solve problems involving more than 1 step.

3rd Grade Addition and Subtraction Word Problems

3-digit addition and subtraction word problems.

There are two versions of each sheet.

The first version (version A) contains problems where no regrouping is needed.

The second version (version B) contains similar problems but regrouping is needed to solve them.

Answers have been provided with each sheet, along with the calculation needed to solve the problem.

The following sheets are all 1-step addition or subtraction word problems.

• 3-Digit Addition and Subtraction Word Problems Sheet 1A (no regrouping)
• PDF version
• 3-Digit Addition and Subtraction Word Problems Sheet 1B
• 3-Digit Addition and Subtraction Word Problems Sheet 2A (no regrouping)
• 3-Digit Addition and Subtraction Word Problems Sheet 2B

4-digit Addition and Subtraction Word Problems

The word problems all involve either addition or subtraction (both with and without regrouping).

• 4-Digit Addition and Subtraction Word Problems Sheet 1
• 4-Digit Addition and Subtraction Word Problems Sheet 2

Harder 2-Step Addition and Subtraction Word Problems

These problems are trickier than those above.

Each problem involved two steps to solve, and may involve just addition, just subtraction or both operators.

There are 4 problems on each sheet, and more space to work out the solutions.

• 2-Step Addition Subtraction Problems up to 3-digits Sheet 1
• 2-Step Addition Subtraction Problems up to 4-digits Sheet 1

Looking for some easier worksheets?

Take a look at our Subtraction word problems for first graders.

On this page, your child will learn to work out basic subtraction word problems with numbers to 20.

• 2nd Grade Addition and Subtraction Word Problems (up to 100)

More Recommended Math Worksheets

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

More 3rd Grade Addition and Subtraction Worksheets

Here you will find some more of our Addition and Subtraction Worksheet generators for creating your own bespoke addition and subtraction worksheets.

• Addition Subtraction Fact Worksheets (randomly generated)
• Column Addition and Subtraction Worksheets (randomly generated)

More 3rd Grade Math Word Problems

Using the 3rd Grade Math worksheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• develop their knowledge of fractions;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

These sheets involve solving one or two more challenging longer problems.

• 3rd Grade Math Problems

These sheets involve solving many 'real-life' problems involving data.

• Math Word Problems for kids 3rd Grade

These sheets involve solving 3-digit and 4-digit addition word problems.

• Addition Word Problems 3rd Grade (3- and 4-digits)

These sheets involve solving 3-digit and 4-digit subtraction problems.

• Subtraction Word Problems 3rd Grade

These sheets involve solving a range of multiplciation problems.

• Multiplication Word Problem Worksheets 3rd Grade

These sheets involve solving a range of division problems.

• Division Worksheets Grade 3 Word Problems

Addition and Subtraction Word Problems to 1000 Online Quiz

Our quizzes have been created using Google Forms.

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This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

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This quick quiz tests your knowledge and skill at solving addition and subtraction word problems within 1000.

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Word Problems Involving Addition and Subtraction

Word problems involving addition and subtraction are discussed here step by step.

There are no magic rules to make problem solving easy, but a systematic approach can help to the problems easily. 

Word problems based on addition are broadly of two types: (a) When objects of two or more collections are put together.  For example:

Amy has 20 lemon sweets and 14 orange sweets. What is the total number of sweets Amy has?  (b) When an increase in number takes place. 

For example:

Victor has 14 stamps. His friend gave him 23 stamps. How many stamps does Victor have in all? The key words used in problems involving addition are:

s um; total; in all; all together.

Word problems based on subtraction are of several types: (a) Partitioning : Take away, remove, given away.

(b) Reducing : Find out how much has been given away or how much remains.

(c) Comparison : More than / less than.

(d) Inverse of addition : How much more to be added. The key words to look out for in a problem sum involving subtraction are: take away; how many more ; how many less ; how many left ; greater ; smaller.

1. The girls had 3 weeks to sell tickets for their play. In the first week, they sold 75 tickets. In the second week they sold 108 tickets and in the third week they sold 210 tickets. How may tickets did they sell in all? Tickets sold in the first week = 75

Tickets sold in the second week = 108

Tickets sold in the third week = 210

Total number of tickets sold = 75 + 108 + 210 = 393

Answer: 393 tickets were sold in all.

2. Mr. Bose spent $450 for petrol on Wednesday. He spent $125 more than that on Thursday. How much did he spend on petrol on those two days. This problem has to be solved in two steps.

Step 1: Money spent for petrol on Thursday

450 + 125 = $575 Step 2: Money spent for petrol on both days

450 + 575 = $1025

Examples on word problems on addition and subtraction:

1. What is the sum of 4373, 4191 and 3127? Solution: The numbers are arranged in columns and added.

Therefore, sum =11,691

2. What is the difference of 3867 and 1298?

Solution: The numbers are arranged in columns and subtracted:

Therefore, difference = 2569

3. Subtract 4358 from the sum of 5632 and 1324. Solution: Sum of 5632 and 1324

Difference of 6956 and 4358

Therefore, 2598 is the answer.

4. Find the number, which is

(i) 1240 greater than 3267.

(ii) 1353 smaller than 5292. Solution: (i) The number is 1240 more than 3267

Therefore, the number = 3267 + 1240 or = 4507 (ii) The number is 1353 less than 5292

= 5292 – 1353 or

5. The population of a town is 16732. If there are 9569 males then find the number of females in the town. Solution:

6. In a factory there are 35,675 workers. 10,750 workers come in the first shift, 12,650 workers in the second shift and the rest come in the third shift. How many workers come in the third shift? Solution: Number of workers coming in the first and second shift

= 10750 + 12650 = 23400

Therefore, number of workers coming in the third shift = 35675 - 23400 = 12275

Related Concept

● Word Problems on Addition

● Subtraction

● Check for Subtraction and Addition

● Word Problems Involving Addition and Subtraction

● Estimating Sums and Differences

● Find the Missing Digits

● Multiplication

● Multiply a Number by a 2-Digit Number

● Multiplication of a Number by a 3-Digit Number

● Multiply a Number

● Estimating Products

● Word Problems on Multiplication

● Multiplication and Division

● Terms Used in Division

● Division of Two-Digit by a One-Digit Numbers

● Division of Four-Digit by a One-Digit Numbers

● Division by 10 and 100 and 1000

● Dividing Numbers

● Estimating the Quotient

● Division by Two-Digit Numbers

● Word Problems on Division

4th Grade Math Activities From Word Problems Involving Addition and Subtraction to

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Order of Operations Worksheets - Addition, Subtraction, Multiplication & Division

Related Topics & Worksheets: Order Of Operations Order Of Operations Worksheet

Objective: I know how to perform mixed operations with addition, subtraction, multiplication and division. If the calculations involve a combination of addition, subtraction, multiplication and division then

Step 1: First, perform the multiplication and division from left to right.

Step 2: Then, perform addition and subtraction from left to right. Example: Calculate 9 × 2 – 10 ÷ 5 + 1 =

Solution: 9 × 2 – 10 ÷ 5 + 1 (perform multiplication)

= 18 – 10 ÷ 5 + 1 (perform division)

= 18 – 2 + 1 (perform subtraction)

= 16 + 1 (perform addition)

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

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Mathematics 4 Quarter 1 – Module 9: Solving Multi-step Problems Involving Multiplication and Addition or Subtraction

Good day learner!

You have learned from the previous module how to solve routine and non-routine problems involving multiplication. In this module, you will encounter more challenging problems: multi-step and problems with hidden questions. Please take time in using this module to learn more. Enjoy solving!

At the end of this module, you will be able to solve multi-step routine and non-routine problems involving multiplication and addition or subtraction using appropriate problem solving strategies and tools.

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Word Problems (Multiplication, Addition,...

Mathematics.

Word Problems (Multiplication, Addition, Subtraction)

10 questions

Introducing new   Paper mode

No student devices needed.   Know more

• 1. Multiple Choice Edit 5 minutes 1 pt Noah saw 3 spiders. Each spider had 8 legs. How many legs were there in all? 15 18 24 33
• 2. Multiple Choice Edit 5 minutes 1 pt Brenli brought 5 boxes of cupcakes to share. Each box had 6 cupcakes. How many cupcakes did Brenli have to share? 30 35 25 11
• 3. Multiple Choice Edit 5 minutes 1 pt Simon has 703 trading cards. His friend Jayden has 448 trading cards. How many more cards does Simon have than Jayden? 588 255 245 1,151
• 4. Multiple Choice Edit 5 minutes 1 pt Elexis has 7 baskets. Each basket contains 4 apples. How many apples does Elexis have? 11 24 32 28
• 5. Multiple Choice Edit 5 minutes 1 pt There are bags of marbles for sale.  Each bag has 7 marbles. If Layton buys 6 bags, how many marbles will he have? 36 49 42 13
• 6. Multiple Choice Edit 5 minutes 1 pt Tori has 388 note cards. Her friend Sallie has 207 note cards. How many note cards do Tori and Sallie have in all? 181 595 600 585
• 7. Multiple Choice Edit 5 minutes 1 pt Abigail scored 732 points while playing a video game. Annabell scored 570 points. How many more points did Abigail score than Annabell? 162 1,302 242 262
• 8. Multiple Choice Edit 5 minutes 1 pt Alejandro typed 273 words on his computer. Andrew Typed 154 words. How many words did they type all together? 119 327 427 411
• 9. Multiple Choice Edit 5 minutes 1 pt Tylen was sorting books. He made 8 stacks of book with 7 books in each stack. How many books did Tylen sort? 15 56 1 49
• 10. Multiple Choice Edit 5 minutes 1 pt Libby is gardening with her mom. She has 5 rows of plants with 7 plants in each row. How many plants did Libby plant? 35 30 34 12

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MA.5.AR.1.2

12 Lesson Plans

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8 Formative Assessments

3 Original Student Tutorials

1 Teaching Idea

• STEM Lessons - Model Eliciting Activity 2
• MFAS Formative Assessments 8
• Original Student Tutorials Mathematics - Grades K-5 3

Clarifications

Benchmark instructional guide, connecting benchmarks/horizontal alignment.

• MA.5.FR.2.1
• MA.5.FR.2.2
• MA.5.GR.2.1
• MA.5.DP.1.1

Terms from the K-12 Glossary

Vertical alignment.

Previous Benchmarks MA.4.AR.1.2 MA.4.AR.1.3   Next Benchmarks MA.6.NSO.2.3

Purpose and Instructional Strategies

• Students need to develop an understanding that when adding or subtracting fractions, the fractions must refer to the same whole.
• During instruction, teachers should provide opportunities for students to practice solving problems using models or drawings to add, subtract or multiply with fractions. Begin with students modeling with whole numbers, have them explain how they used the model or drawing to arrive at the solution, then scaffold using the same methodology using fraction models. 
• Models to consider when solving fraction problems should include, but are not limited to, area models (rectangles), linear models (fraction strips/bars and number lines) and set models (counters) ( MTR.2.1 ). 
• Please note that it is not expected for students to always find least common multiples or make fractions greater than 1 into mixed numbers, but it is expected that students know and understand equivalent fractions, including naming fractions greater than 1 as mixed numbers to add, subtract or multiply. 
• It is important that teachers have students rename the fractions with a common denominator when solving addition and subtraction fraction problems in lieu of the “butterfly” method (or other shortcut/mnemonic) to ensure students build a complete conceptual understanding of what makes solving addition and subtraction of fractions problems true.

Common Misconceptions or Errors

• For example, “Mark has 3 4 yards of rope and he gives half of the rope to a friend. How much rope does Mark have left?” expects students to find 1 2 of 3 4 , or multiply 1 2 × 3 4 to find the product that represents how much is given to the friend. On the other hand, “Mark has 3 4 yards of rope and gives 1 2 yard of rope to a friend. How much rope does Mark have left?” expects students to take 1 2 yard from 3 4 yard, or subtract 3 4 − 1 2 to find the difference. Encourage students to look for the units in the problem (e.g., 1 2 yard versus 1 2 of the whole rope) to determine the appropriate operation. 
• Students may believe that multiplication always results in a larger number. Using models when multiplying with fractions will enable students to generalize about multiplication algorithms that are based on conceptual understanding ( MTR.5.1 ). 
• For example, “Mark has 3 4 yards of rope and he gives a third of the rope to a friend. How much rope does Mark have left?” expects students to first find 1 3 of 3 4 , or multiply 1/3 × 3 4 , and then to find the difference to find how much Mark has left. On the other hand, "Mark has 3 4 yards of rope and gives 1 3 yard of rope to a friend. How much rope does Mark have left?” only requires finding the difference 3 4 − 1 3 .

Strategies to Support Tiered Instruction

• “Ganie has 7 8 of a bar of chocolate left and gives half of what she has to her friend Sarah. How much of a whole chocolate bar does she have left?” 
• “Ganie has 7 8 of a bar of chocolate left and she gives 1 2 of the original bar of chocolate to her friend Sarah. How much of her chocolate bar does she have left?” (See illustration below) 
• The teacher uses questioning and prompting to have students identify what operations must be used to solve each problem. The teacher asks students to share what they notice about each problem (e.g., the similarities and the differences), placing emphasis on the units (e.g., “half of the amount of chocolate that Janie has in the first problem vs.  1 2  of the whole chocolate bar” in the second problem). The teacher guides students to identify that in the first problem, they will need to multiply  7 8  ×  1 2  and in the second problem, they will need to subtract  7 8  −  1 2  to solve. Students solve using models. 

7 8 × 1 2 = 7 16 For example, the teacher displays and reads the following problem: "Tia has 3 8 yards of ribbon and she gives half of the ribbon to a friend. How much ribbon does Tia have left?” The teacher uses questioning and prompting to have students identify what operation must be used to solve the problem. The teacher asks students, “Did Tia give half of the ribbon or half a yard of ribbon to her  friend?” Emphasis is placed on the units (e.g., half of the whole ribbon vs. 1 2 yard of ribbon) while guiding students to identify that they will need to multiply 3 8 × 1 2 to solve. Students solve using the area model and counters. The cells with both color counters indicate the numerator in the solution. This is repeated with similar word problems, using frequent guiding questions to support student understanding.   Instruction includes opportunities to use models when solving problems that involve multiplication of fractions to increase understanding that multiplication does not always result in a larger number. The use of models when multiplying with fractions will enable students to generalize about multiplication algorithms that are based on conceptual understanding.  For example, the teacher displays and reads aloud the following problem: “Rosalind spent 2 3 of an hour helping in the garden. Her sister spent 1 2 the amount of time as Rosalind did helping in the garden. How much time did Rosalind’s sister spend helping in the garden?” Students solve the problem using an area model. The teacher uses questioning to help students draw a model to represent the problem. This is repeated with similar word problems involving multiplication of fractions.  For example, the teacher displays and reads aloud the following problem: "Astrid spent 7 8 of an hour reading her book. Elliot spent 1 3 the amount of time as Astrid did reading. How much time did Elliot spend reading?” Students solve using the area model and counters. The cells with both color counters indicate the numerator in the solution. The teacher uses questioning to help students draw a model to represent the problem. This is repeated with similar word problems involving multiplication of fractions, using frequent guiding questions to support student understanding.   Instructional Tasks Instructional Task 1  ( MTR.7.1 )  Rachel wants to bake her two favorite brownie recipes. One recipe needs 1 1 2 cups of flour and the other recipe needs 3 4 cups of flour. How much flour does Rachel need to bake her two favorite brownie recipes?    Instructional Task 2 ( MTR.7.1 )  Shawn finished a 100 meter race in 3 8 of one minute. The winner of the race finished in 1 3 of Shawn’s time. How long did it take for the winner of the race to finish?    Instructional Items Instructional Item 1  Monica has 2 3 4 cups of berries. She uses 5 8 cups of berries to make a smoothie. She then uses 1 2 cup for a fruit salad. After she makes her smoothie and fruit salad, how much of the berries will Monica have left?    *The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.

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Related access points, related resources, formative assessments.

Students are given a word problem involving fractions with unlike denominators and are asked to estimate the sum, explain their reasoning, and then determine the sum.

Type: Formative Assessment

Students are asked to estimate the difference between two fractional lengths and then calculate the difference.

Students are asked to solve a word problem by finding the product of two fractions.

Students are given a word problem involving subtraction of fractions with unlike denominators. Students are asked to determine if a given answer is reasonable, explain their reasoning, and calculate the answer.

Students are asked to solve a word problem by finding the product of a fraction and a mixed number.

Students are asked to solve a word problem by finding the product of two mixed numbers.

Students are asked to estimate the sum of two mixed numbers and then calculate the sum.

Lesson Plans

Students will help the Supervisor of Elections determine which voter registration locations could be improved to help more citizens get registered to vote. Students will learn about the number of citizens who registered to vote in a general election year compared to the total population of those eligible to vote. They will discuss which voter registration locations will provide the most access to citizens and allocate funds to help address the issue in this modeling eliciting activity.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

In this lesson, students will use addition and subtraction of fractions with unlike denominators to solve word problems involving situations that arise with the children who were invited to a party. They will use fraction strips as number models and connect the algorithm with these real-life word problems.

In this lesson students will use a graphic organizer to to solve addition and subtraction word problems. Students will create their own word problems in PowerPoint, by using pen and paper, or dry erase boards to help them to connect to and understand the structure of word problems.  

In this lesson, students will create representations for different multi-step word problems. One of these representations will be an expression with a variable.

In this situational story, Aaron and Anya find several pieces of ribbon/cord of varying fractional lengths. They decide to choose 3 pieces and make a belt. All of the fractions have different denominators; students have to determine common denominators in order to add the fractional pieces. After students successfully add three fractional pieces, they make a belt and label it with their fractional pieces.

This lesson focuses on providing students with real-world experiences where they will be required to multiply fractions. Students will be required to use visual fraction models or equations to represent the problem.  This is a practice and application lesson, not an introductory lesson.

This MEA will deepen students' knowledge of the Bill of Rights through collaborative problem solving. Students are required to analyze data in order to recommend three Amendments to celebrate during a community festival.  They will perform operations with fractions and mixed numbers to recommend advertising options for the festival within a budget.

In this lesson, students will solve problems related to training for a marathon to apply and make sense of multiplying fractions. The student will complete a function table to help illustrate patterns in the numerator/denominator relationships. This lesson utilizes the linear model as a concrete representation and moves towards the standard algorithm (a/b) x (c/d) = ac/bd .

This activity allows students to determine the types of items that should be in a hurricane survival kit, use a budget and calculations to determine the items to include in the kit and gain an understanding of hurricanes and the need to prepare for them.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

In this lesson, students use models (fractions tiles or number lines) to round fractions using benchmark fractions of 0, 1/2, or 1.

Students explore the multiplication of a fraction times a fraction through story problems about a garden using models on Geoboards and pictorial representations on grid paper. Students make a connection between their models and the numerical representation of the equation.

Students use pattern blocks to represent fractions with unlike denominators. Students discover that they need to convert the pattern blocks to the same size in order to add them. Therefore, they find and use common denominators for the addition of fractions.

Learn to solve addition and subtraction word problems involving fractions with unlike denominators. As you complete this art-themed, interactive tutorial, you'll use visual models, write and solve equations, and check the reasonableness of results based on estimates.

This is part 2 of a two-part series. Click below to open part 1.

• Making Art Part 1: Estimating Adding and Subtracting Fractions Using Benchmarks

Type: Original Student Tutorial

Read word problems and use number lines with benchmarks to solve multi-step problems involving addition and subtraction of fractions with unlike denominators. In this tutorial, you will help Daisy and Angie paint pictures using fractions. 

Learn to interpret data presented on a line plot and use operations on fractions to solve problems involving information presented in line plots as you complete this beach-themed, interactive tutorial.

Problem-Solving Tasks

Students are asked to find the volume of water in a tank that is 3/4 of the way full.

Type: Problem-Solving Task

Students are asked to find the height of a rectangular prism when given the length, width and volume.

The purpose of this task is for students to find the answer to a question in context that can be represented by fraction multiplication. This task is appropriate for either instruction or assessment depending on how it is used and where students are in their understanding of fraction multiplication.

This tasks lends itself very well to multiple solution methods. Students may learn a lot by comparing different methods. Students who are already comfortable with fraction multiplication can go straight to the numeric solutions given below. Students who are still unsure of the meanings of these operations can draw pictures or diagrams.

The purpose of this task is to present students with a situation where it is natural to add fractions with unlike denominators; it can be used for either assessment or instructional purposes. Teachers should anticipate two types of solutions: one where students calculate the distance Alex ran to determine an answer, and one where students compare the two parts of his run to benchmark fractions.

The purpose of this task is to familiarize students with multiplying fractions with real-world questions.

The purpose of this task is to have students add fractions with unlike denominators and divide a unit fraction by a whole number. This accessible real-life context provides students with an opportunity to apply their understanding of addition as joining two separate quantities.

The task could be one of the first activities for introducing the multiplication of fractions.  The task has fractions which are easy to draw and provides a linear situation.  Students benefit from reasoning through the solution to such word problems before they are told that they can be solved by multiplying the fractions; this helps them develop meaning for fraction multiplication.

This is the third problem in a series of three tasks involving fraction multiplication that can be solved with pictures or number lines. The first, Running to school, does not require that the unit fractions that comprise 3/4 be subdivided in order to find 1/3 of 3/4. The second task, Drinking Juice, does require students to subdivide the unit fractions that comprise 1/2 in order to find 3/4 of 1/2. This task also requires subdivision and involves multiplying a fraction and a mixed number.

This is the second problem in a series of three tasks involving fraction multiplication that can be solved with pictures or number lines. This task does require students to subdivide the unit fractions that comprise 1/2 in order to find 3/4 of 1/2.

This task addresses common errors that students make when interpreting adding fractions word problems. It is very important for students to recognize that they only add fractions when the fractions refer to the same whole, and also when the fractions of the whole being added do not overlap. This set of questions is designed to enhance a student's understanding of when it is and is not appropriate to add fractions.

Teaching Idea

Students use a scale representation of the top 26 small planets and large moons in the solar system to compare their relative sizes to Earth. Students will use simple fractions to solve real world problems.

Type: Teaching Idea

STEM Lessons - Model Eliciting Activity

Mfas formative assessments, original student tutorials mathematics - grades k-5, student resources, parent resources.

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Breadcrumbs

Solving Two-Step Multiplication Word Problems

Two-step word problems can be difficult to solve as the student needs to work out what should be solved first and then determining and solving both steps. Most two-step word problems that involve multiplication have a multiplication step and an addition or subtraction step.

The easiest way to solve these problems is visually with bar charts to aid the student.

Let’s start with an example that involved a multiplication step and a subtraction step.

In this example, the multiplication step comes first and the subtraction step second.

A girl has 7 lollipops and she has 5 times as many candies. How many more candies than lollipops does she have?

You’ll have to start by working out how many candies she has. She has 5 x 7 as many candies. Here’s what that looks like in a bar diagram:

Now we can see how many more candies she has than lollipops. It’s this part:

She has 35 candies and 7 lollipops. So she has 35 – 7 = 28 more candies than lollipops.

Here’s an example of multiplication as a first step and addition as a second step.

There are 9 red apples. There are three times as many green apples. How many apples are there altogether?

So we know we have 9 red apples and that there are 3 times as many green apples. Here’s how that looks in a bar chart:

9 x 3 = 27, so there are 27 green apples. So in total we have 27 + 9 apples, which comes to 36 apples altogether.

If you are looking for some multiplication word problems you’ll find them in our free math worksheet center . Here are the multiplication word problem worksheets for grade 3 , grade 4 and grade 5 .

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Up to 3 Digits Multiplication & Division Worksheets Math Problems

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

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Up to 3 Digits Multiplication & Division Worksheets Math Problems “Addition, Subtraction, Multiplication & Division Worksheets” is an all-inclusive resource designed to reinforce students’ mastery of fundamental arithmetic operations. This comprehensive product features a diverse range of problems covering addition, subtraction, multiplication, and division, providing students with varied and engaging practice opportunities. Comprehensive Coverage: Worksheets encompass all four basic arithmetic operations—addition, subtraction, multiplication, and division—ensuring students receive a well-rounded practice experience. Varied Problem Types: Each worksheet offers a mix of problem types, including single-digit, multi-digit, word problems, and real-life scenarios, catering to different learning styles and abilities. Progressive Difficulty: Problems are organized by complexity, allowing students to gradually build their skills and confidence as they progress through the worksheets. Answer Keys: Detailed answer keys accompany each worksheet, providing students with immediate feedback and facilitating self-assessment and correction. Whether used as a comprehensive review, skill reinforcement, or differentiated instruction tool, “Mix All Addition, Subtraction, Multiplication & Division Worksheets” equips students with the necessary skills to excel in arithmetic and problem-solving. Worksheets are made in 8.5” x 11” Standard Letter Size. This resource is helpful in students’ assessment, Independent Studies, group activities, practice and homework. This product is available in PDF format and ready to print as well.

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