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Polygons - Lesson 11.1

Triangles - Lesson 11.2

Quadrilaterals - Lesson 11.3

Three Dimensional Figures - Lesson 11.5

Unit Cubes and Solid Figures - Lesson 11.6

Understanding Volume - Lesson 11.7

Estimate Volume - Lesson 11.8

Volume of a Rectangular Prism - Lesson 11.9

Apply Volume Formulas - Lesson 11.10

Finding Volume of Composite Formulas - Lesson 11.12

Find a Part of a Group - Lesson 7.1

Multiply Fractions and Whole Numbers - Lesson 7.2

Fraction and Whole Number Multiplication - Lesson 7.3

Multiply Fractions - Lesson 7.4

Compare Fraction Factor and Product - Lesson 7.5

Fraction Multiplication - Lesson 7.6

Area and Mixed Numbers - Lesson 7.7

Compare Mixed Number Factors and Products - Lesson 7.8

Multiply Mixed Numbers - Lesson 7.9

Problem Solving - Find Unknown Lengths - Lesson 7.10

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Line Plots - Lesson 9.1

Ordered Pairs - Lesson 9.2

Graph Data - Lesson 9.3

Line Graphs - Lesson 9.4

Numerical Patterns - Lesson 9.5

Problem Solving - Find a Rule - Lesson 9.6

Graph and Analyze Relationships - Lesson 9.7

Customary Length - Lesson 10.1

Customary Capacity - Lesson 10.2

Weight - Lesson 10.3

Multistep Measurement Problems - Lesson 10.4

Metric Measures - Lesson 10.5

Problem Solving Conversions - Lesson 10.6

Elapsed Time - Lesson 10.7

Division Patterns with Decimals - Lesson 5.1

Divide Decimals by Whole Numbers - Lesson 5.2

Estimate Quotients - lesson 5.3

Division of Decimals by Whole Numbers - Lesson 5.4

Decimal Division - Lesson 5.5

Divide Decimals - Lesson 5.6

Write Zeros in the Dividend - Lesson 5.7

Problem Solving - Decimal Operations - Lesson 5.8

Divide Fractions and Whole Numbers - Lesson 8.1

Problem Solving - Use Multiplication - Lesson 8.2

Connect Fractions to Division - Lesson 8.3

Fraction and Whole Number Division - Lesson 8.4

Interpret Division with Fractions - Lesson 8.5

Addition with Unlike Denominators - Lesson 6.1

Subtraction with Unlike Denominators - Lesson 6.2

Estimate Fraction Sums and Differences - Lesson 6.3

Common Denominators and Equivalent Fractions - Lesson 6.4

Add or Subtract Fractions - Lesson 6.5

Add or Subtract Mixed Numbers - Lesson 6.6

Subtraction with Renaming - Lesson 6.7

Patterns with Fractions - Lesson 6.8

Problem Solving with Addition and Subtraction - Lesson 6.9

Use Properties of Addition - Lesson 6.10

Multiplication Patterns with Decimals - Lesson 4.1

Multiply Decimals and Whole Numbers - Lesson 4.2

Multiply Decimals and Whole Numbers - Lesson 4.3

Multiply Using Expanded Form - Lesson 4.4

Problem Solving - Multiply Money - Lesson 4.5

Decimal Multiplication - Lesson 4.6

Multiply Decimals - Lesson 4.7

Thousandths - Lesson 3.1

Place Value of Decimals - Lesson 3.2

Compare and Order Decimals - Lesson 3.3

Round Decimals - Lesson 3.4

Decimal Addition - Lesson 3.5

Decimal Subtraction - Lesson 3.6

Estimate Decimal Sums and Differences - Lesson 3.7

Add Decimals - Lesson 3.8

Subtract Decimals - Lesson 3.9

Patterns with Decimals - Lesson 3.10

Problem Solving Add and Subtract Money - Lesson 3.11

Choose a Method - Lesson 3.12

Performance Task on Chapter 3

Place the First Digit - Lesson 2.1

Divide by 1-Digit Divisors - Lesson 2.2

Division with 2-Digit Divisors - Lesson 2.3

Partial Quotients - Lesson 2.4

Estimate with 2-Digit Divisors - Lesson 2.5

Divide by 2-Digit Divisors - Lesson 2.6

Interpret the Remainder - Lesson 2.7

Adjust Quotients - Lesson 2.8

Problem Solving - Division - Lesson 2.9

Performance Task on Chapter 2

Fifth Grade

Math

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## CHALLENGE ZONE 5th Grade Math Problems

Welcome to our 5th Grade Math Problems. Here you will find our range of challenging math problem worksheets which are designed to give children the opportunity to apply their skills and knowledge to solve a range of longer problems.

These problems are also a great way of developing perseverance and getting children to try different approaches in their math.

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## 5th Grade Math Problems

Here you will find a range of problem solving worksheets.

The 5th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them.

The skills the problems will help to develop include:

- systematic working
- logical thinking
- number fact knowledge
- fraction problems
- trial and improvement strategies
- working backwards
- working systematically
- searching for all possible answers.

At fifth grade, the problems are more advanced with children needing to become more systematic in their approach and experimenting using trial and improvement strategies.

Many of the problems have addition 'What if ...' questions with them to extend learning and get children looking for alternative solutions.

These sheets are great for extending learning for more able mathematicians, or using in a whole class problem solving lesson.

- 5th Grade Math Word Problems
- Bertie's Big Win

Bertie's Big Win is a problem involving both money and fractions which can be worked backwards. The aim of the problem is to work out how much money Bertie started with from the clue that are given.

- PDF version
- Fox vs Rabbit #2

Fox vs Rabbit is an activity involving mathematical modelling of a fox chasing a rabbit. The rabbit has a head-start, but the fox is faster. The aim is to find out when the fox will catch the rabbit, and whether or not the rabbit has time to reach his burrow.

- 1..2..3..4.. Challenge

The 1..2..3..4.. Challengs is a number problem involving using the numbers 1, 2, 3 and 4 along with arithmetic operators to make the numbers from 1 to 20. It is great for practicing PEMDAS and getting children to persevere and develop their mental arithmetic skills.

There are 2 versions of the problem sheet, one with a pre-prepared template for filling in, and a second blank version for children to show their own recording system.

- Blank version
- Frazer's Wall #2

Frazer's Wall #2 is a fraction problem solving activity which involves trying to work out the number of bricks that were laid in each day to find out how long it would take to make a wall. This problem is best solved by using a table or working it out one day at a time.

- Millenary Math

Millenary Math is a time problem involving what the time will be in a thousand years/weeks/hours/minutes, etc. It is a good activity for converting units of time and knowing facts like how many days are in each month. There is no answer sheet, as the activity involves using the current time.

- Sally's Fruit Punch #3

Sally's Fruit Punch is a money and scaling activity. The aim is to use the information to work out how much ingredients are needed. The ingredients then need to be priced to work out a total cost.

- Sally's Fruit Punch #3 UK Version
- Share the Treasure #5

Share the Treasure is a fraction sharing activity where the aim is to work backwards to find out how many bars of treasure the pirates had before they shared them all out. It is a good activity for developing fraction problem solving and working backwards.

- Something Fishy #2

Something Fishy is a money problem which involves working out exactly how many of each fish were bought in order to have spent a fixed amount of money on the fish. It is a good activity for using lists and tables to find all possibilities. It is also great for perseverance!

- Something Fishy #2 UK Version
- The Five Primes

The Five Primes is a number activity involving finding five primes with different totals. It is a good activity for learning prime numbers up to 30, and also for working systematically.

- The Rock Race #3

The Rock Race is a 5th grade math problem which needs some perseverance to complete. The aim of the activity is to try different routes around the 6 rocks to determine which route is the shortest.

- Who Chose Which?

Who Chose Which is a logical number activity where you need to use the clues to work out which numbers each of the salamanders chose.

- Birthday Bonanza

Birthday Bonanza is a logic problem which requires logical thinking to work out who got which present and how old each of them was.

- Number Totals Investigation

Number Totals Investigation is a PEMDAS number task which involves using 3 digits and operations to make the largest or smallest possible total.

## Looking for some easier math problems?

We have a range of easier word problems on our 4th grade math problems page.

The problems on this page are at a simpler level than those here.

Many of the problems, e.g. Share the Treasure, The Rock Race, Something Fishy have easier versions on this page.

- 4th Grade Math Problems

## Looking for some more fifth grade math word problems?

Here you will find our selection of free 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

- apply their addition, subtraction, multiplication and division skills;
- apply their knowledge of rounding and place value;
- solve a range of problems including "real life" problems and ratio problems.

All the worksheets help to support Elementary math benchmarks.

- 5th Grade Math Puzzles

Here you will find a range of printable 5th grade math puzzles for your child to enjoy.

The puzzles will help your child practice and apply their addition, subtraction, multiplication and division 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, including decimals;
- practice their subtraction facts, including decimals;
- practice and apply multiplication and division facts;
- develop problem solving skills and reasoning.

All the puzzles support elementary math benchmarks for 5th grade.

## Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

All the free 5th Grade Math Worksheets in this section follow the Elementary Math Benchmarks for Grade 5.

- Math Games 5th Grade

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## Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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Place Value Through Millions | ||

Place Value Through Millions | ||

Compare and Order Whole Number Through Millions | ||

Compare and Order Whole Number Through Millions | ||

Hands On: Model Fractions and Decimals | ||

Hands On: Model Fractions and Decimals | ||

Represent Decimals | ||

Represent Decimals | ||

Hands On: Understanding Place Value | ||

Hands On: Understanding Place Value | ||

Place Value Through Thousandths | ||

Place Value Through Thousandths | ||

Compare Decimals | ||

Compare Decimals | ||

Order Whole Numbers and Decimals | ||

Order Whole Numbers and Decimals | ||

Problem Solving Investigation: Use the Four Step Plan | ||

Problem Solving Investigation: Use the Four Step Plan | ||

Prime Factorization | ||

Prime Factorization | ||

Hands On: Prime Factorization Patterns | ||

Hands On: Prime Factorization Patterns | ||

Powers and Exponents | ||

Powers and Exponents | ||

Multiplication Patterns | ||

Multiplication Patterns | ||

Problem Solving Investigation: Make a Table | ||

Problem Solving Investigation: Make a Table | ||

Hands On: Use Partial Products and the Distributive Property | ||

Hands On: Use Partial Products and the Distributive Property | ||

The Distributive Property | ||

The Distributive Property | ||

Estimate Products | ||

Estimate Products | ||

Multiply by One-Digit Numbers | ||

Multiply by One-Digit Numbers | ||

Multiply by Two-Digit Numbers | ||

Multiply by Two-Digit Numbers | ||

Relate Division to Multiplication | ||

Relate Division to Multiplication | ||

Hands On: Division Models | ||

Hands On: Division Models | ||

Two-Digit Dividends | ||

Two-Digit Dividends | ||

Division Patterns | ||

Division Patterns | ||

Estimate Quotients | ||

Estimate Quotients | ||

Hands On: Division Models with Greater Numbers | ||

Hands On: Division Models with Greater Numbers | ||

Hands On: Distributive Property and Partial Quotients | ||

Hands On: Distributive Property and Partial Quotients | ||

Divide Three-and Four-Digit Dividends | ||

Divide Three-and Four-Digit Dividends | ||

Place the First Digit | ||

Place the First Digit | ||

Quotients with Zeros | ||

Quotients with Zeros | ||

Hands On: Models to Interpret the Remainder | ||

Hands On: Models to Interpret the Remainder | ||

Interpret the Remainder | ||

Interpret the Remainder | ||

Problem Solving Investigation: Determine Extra or Missing Information | ||

Problem Solving Investigation: Determine Extra or Missing Information | ||

Estimate Quotients | ||

Estimate Quotients | ||

Hands On: Divide Using Base-Ten Blocks | ||

Hands On: Divide Using Base-Ten Blocks | ||

Divide by a Two-Digit Divisor | ||

Divide by a Two-Digit Divisor | ||

Adjust Quotients | ||

Adjust Quotients | ||

Divide Greater Numbers | ||

Divide Greater Numbers | ||

Problem Solving Investigation: Solve a Simpler Problem | ||

Problem Solving Investigation: Solve a Simpler Problem | ||

Round Decimals | ||

Round Decimals | ||

Estimate Sums and Differences | ||

Estimate Sums and Differences | ||

Problem Solving Investigation: Estimate or Exact Answer | ||

Problem Solving Investigation: Estimate or Exact Answer | ||

Hands On: Add Decimals Using Base-Ten Blocks | ||

Hands On: Add Decimals Using Base-Ten Blocks | ||

Hands On: Add Decimals Using Models | ||

Hands On: Add Decimals Using Models | ||

Add Decimals | ||

Add Decimals | ||

Addition Properties | ||

Addition Properties | ||

Hands On: Subtract Decimals Using Base-Ten Blocks | ||

Hands On: Subtract Decimals Using Base-Ten Blocks | ||

Hands On: Subtract Decimals Using Models | ||

Hands On: Subtract Decimals Using Models | ||

Subtract Decimals | ||

Subtract Decimals | ||

Estimate Products of Whole Numbers and Decimals | ||

Estimate Products of Whole Numbers and Decimals | ||

Hands On: Use Models to Multiply | ||

Hands On: Use Models to Multiply | ||

Multiply Decimals by Whole Numbers | ||

Multiply Decimals by Whole Numbers | ||

Hands On: Use Models to Multiply Decimals | ||

Hands On: Use Models to Multiply Decimals | ||

Multiply Decimals | ||

Multiply Decimals | ||

Multiply Decimals by Powers of Ten | ||

Multiply Decimals by Powers of Ten | ||

Problem Solving Investigation: Look for a Pattern | ||

Problem Solving Investigation: Look for a Pattern | ||

Multiplication Properties | ||

Multiplication Properties | ||

Estimate Quotients | ||

Estimate Quotients | ||

Hands On: Divide Decimals | ||

Hands On: Divide Decimals | ||

Divide Decimals by Whole Numbers | ||

Divide Decimals by Whole Numbers | ||

Hands On: Use Models to Divide Decimals | ||

Hands On: Use Models to Divide Decimals | ||

Divide Decimals | ||

Divide Decimals | ||

Divide Decimals by Powers of Ten | ||

Divide Decimals by Powers of Ten | ||

Hands On: Numerical Expressions | ||

Hands On: Numerical Expressions | ||

Order of Operations | ||

Order of Operations | ||

Write Numerical Expressions | ||

Write Numerical Expressions | ||

Problem Solving Investigation: Work Backward | ||

Problem Solving Investigation: Work Backward | ||

Hands On: Generate Patterns | ||

Hands On: Generate Patterns | ||

Patterns | ||

Patterns | ||

Hands On: Map Locations | ||

Hands On: Map Locations | ||

Ordered Pairs | ||

Ordered Pairs | ||

Graph Patterns | ||

Graph Patterns | ||

Fractions and Division | ||

Fractions and Division | ||

Greatest Common Factor | ||

Greatest Common Factor | ||

Simplest Form | ||

Simplest Form | ||

Problem Solving Investigation: Guess, Check, and Revise | ||

Problem Solving Investigation: Guess, Check, and Revise | ||

Least Common Multiple | ||

Least Common Multiple | ||

Compare Fractions | ||

Compare Fractions | ||

Hands On: Use Models to Write Fractions as Decimals | ||

Hands On: Use Models to Write Fractions as Decimals | ||

Write Fractions as Decimals | ||

Write Fractions as Decimals | ||

Rounding Fractions | ||

Rounding Fractions | ||

Add Like Fractions | ||

Add Like Fractions | ||

Subtract Like Fractions | ||

Subtract Like Fractions | ||

Hands On: Use Models to Add Unlike Fractions | ||

Hands On: Use Models to Add Unlike Fractions | ||

Add Unlike Fractions | ||

Add Unlike Fractions | ||

Hands On: Use Models to Subtract Unlike Fractions | ||

Hands On: Use Models to Subtract Unlike Fractions | ||

Subtract Unlike Fractions | ||

Subtract Unlike Fractions | ||

Problem Solving Investigation: Determine Reasonable Answers | ||

Problem Solving Investigation: Determine Reasonable Answers | ||

Estimate Sums and Differences | ||

Estimate Sums and Differences | ||

Hands On: Use Models to Add Mixed Numbers | ||

Hands On: Use Models to Add Mixed Numbers | ||

Add Mixed Numbers | ||

Add Mixed Numbers | ||

Subtract Mixed Numbers | ||

Subtract Mixed Numbers | ||

Subtract with Renaming | ||

Subtract with Renaming | ||

Hands On: Part of a Number | ||

Hands On: Part of a Number | ||

Estimate Products of Fractions | ||

Estimate Products of Fractions | ||

Hands On: Model Fraction Multiplication | ||

Hands On: Model Fraction Multiplication | ||

Multiply Whole Numbers and Fractions | ||

Multiply Whole Numbers and Fractions | ||

Hands On: Use Models to Multiply Fractions | ||

Hands On: Use Models to Multiply Fractions | ||

Multiply Fractions | ||

Multiply Fractions | ||

Multiply Mixed Numbers | ||

Multiply Mixed Numbers | ||

Hands On: Multiplication as Scaling | ||

Hands On: Multiplication as Scaling | ||

Hands On: Division and Unit Fractions | ||

Hands On: Division and Unit Fractions | ||

Divide Whole Numbers by Unit Fractions | ||

Divide Whole Numbers by Unit Fractions | ||

Divide Unit Fractions by Whole Numbers | ||

Divide Unit Fractions by Whole Numbers | ||

Problem Solving Investigation: Draw a Diagram | ||

Problem Solving Investigation: Draw a Diagram | ||

Hands On: Measure with a Ruler | ||

Hands On: Measure with a Ruler | ||

Convert Customary Units of Length | ||

Convert Customary Units of Length | ||

Problem Solving Investigation: Use Logical Reasoning | ||

Problem Solving Investigation: Use Logical Reasoning | ||

Hands On: Estimate and Measure Weight | ||

Hands On: Estimate and Measure Weight | ||

Convert Customary Units of Weight | ||

Convert Customary Units of Weight | ||

Hands On: Estimate and Measure Capacity | ||

Hands On: Estimate and Measure Capacity | ||

Convert Customary Units of Capacity | ||

Convert Customary Units of Capacity | ||

Display Measurement Data on a Line Plot | ||

Display Measurement Data on a Line Plot | ||

Hands On: Metric Rulers | ||

Hands On: Metric Rulers | ||

Convert Metric Units of Length | ||

Convert Metric Units of Length | ||

Hands On: Estimate and Measure Metric Mass | ||

Hands On: Estimate and Measure Metric Mass | ||

Convert Metric Units of Mass | ||

Convert Metric Units of Mass | ||

Convert Metric Units of Capacity | ||

Convert Metric Units of Capacity | ||

Polygons | ||

Polygons | ||

Hands On: Sides and Angles of Triangles | ||

Hands On: Sides and Angles of Triangles | ||

Classify Triangles | ||

Classify Triangles | ||

Hands On: Side and Angles of Quadrilaterals | ||

Hands On: Side and Angles of Quadrilaterals | ||

Classify Quadrilaterals | ||

Classify Quadrilaterals | ||

Hands On: Build Three-Dimensional Figures | ||

Hands On: Build Three-Dimensional Figures | ||

Three-Dimensional Figures | ||

Three-Dimensional Figures | ||

Hands On: Use Models to Find Volume | ||

Hands On: Use Models to Find Volume | ||

Volume of Prisms | ||

Volume of Prisms | ||

Hands On: Build Composite Figures | ||

Hands On: Build Composite Figures | ||

Volume of Composite Figures | ||

Volume of Composite Figures | ||

Problems Solving Investigation: Make a Model | ||

Problems Solving Investigation: Make a Model | ||

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## Problem-Based Tasks in Math

## Want to learn more about our work?

Dive deeper into our Instructional Practices and methodology by taking one of our online courses.

Providing students with opportunities to grapple with math has led to amazing things happening in my class. Students are totally excited and are driven to figure out not just how to solve a problem but why it works.

## – Jessica Proffitt, Fifth-Grade Teacher at Two Rivers

Watch two rivers’s teachers and students at work on problem-based tasks in math.

## Problem-Based Tasks Require Students to Apply Their Knowledge in New Contexts

Problem-based tasks are math lessons built around a single, compelling problem. The problems are truly “problematic” for students — that is, they do not offer an immediate solution.

The problems provide an opportunity for students to build conceptual understanding. Problem-based tasks require students to apply their current understanding and skills to new contexts that highlight core math concepts. For example, when students solve a problem that could be solved with multiplication before they have formally been taught what multiplication is and how it works, they build an understanding that multiplication is repeated addition.

Well-designed problem-based tasks provide multiple entry points for students to engage in problem solving, ensuring that all students have access to the same concepts. When students solve the problems in different ways—including drawing pictures, acting out the problem, writing algorithms, and using manipulatives—they make connections between the variety of models that all accurately illustrate the underlying mathematics.

## Problem-Based Tasks in Math Resources

## Engage your students with effective distance learning resources. ACCESS RESOURCES>>

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## 5th Grade Math Word Problems Worksheets

Math word problem worksheets for grade 5.

These worksheets present students with real world word problems that students can solve with grade 5 math concepts.

We encourage students to think about the problems carefully by:

- providing a number of mixed word problem worksheets
- including irrelevant data so students need to understand the context before applying a solution

## The four operations

Mixed 4 operations

Estimating and rounding word problems

## Grade 5 fractions and decimal word problems

Addition and subtraction of fractions

Addition and subtraction of mixed numbers

Division of numbers with fractional answers

Dividing by unit fractions

Multiplying fractions word problems

Mixed operations with fractions

More mixed fraction word problems

Decimals word problems

## Measurement word problems

Mass and weight word problems

Volume and capacity word problems

Length word problems

## Word problems worksheets with variables

Variables and expressions

Variables and equations

## Other grade 5 word problems worksheets

Volume of rectangular prisms

GCF / LCM word problems

Mixed grade 5 word problems

Sample Grade 5 Word Problem Worksheet

## More word problem worksheets

Explore all of our math word problem worksheets , from kindergarten through grade 5.

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## 35 math problems for 5th graders

Here are 35 fifth-grade math problems that will help your child stay on track!

Author Amber Watkins

Published September 13, 2023

- Key takeaways
- 5th-grade math word problems help students apply mathematical concepts to real-world scenarios.
- In fifth-grade math, it’s important to master fractions, decimals, and order of operations.
- Hard problems for 5th graders can be simplified by drawing a picture or using a method that makes them easier to solve.

Table of contents

- Word problems

## Numbers & place value

- Multiplication

If this math page has 5 sections of math problems for 5th graders with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 math problems for 5th graders for us to practice. Without realizing it, you just solved one of our first 5th-grade math word problems . Excellent work! Together we will review fifth-grade math problems with decimals, fractions, order of operations, and rounding. We will even consider hard math problems for 5th graders, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes math problems for 5th graders with answers if you need a sneak peek. So grab a pad and pencil and let’s begin.

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Select a grade

- Kindergarten

## Measurement and data

Sample questions, word problems for 5th graders.

Let’s begin by covering math word problems for 5th graders.

Mia’s water bottle can hold 24 ounces of water. She drinks two full water bottles each day. How many total cups of water does Mia drink each day? [Conversions]

The playground is made up of four rectangular lots that are each 10 ft by 7 ft. What is the total area of the playground? [Finding area]

Josh lives 2.5 miles away from the park. Josh rides his bike to the park and back home four days a week. How many miles does Josh ride his bike each week? [Calculations]

## Place value

In this section, we will cover math problems for 5th graders that use place values, word form to standard form, standard form to word form, and expanded form.

Which digit in the number 245 is in the hundreds place?

Which digit in the number 4,602 is in the tens place?

Which digit in the number 752 is in the ones place?

## Word form to standard form

Standard form to expanded form.

4,000 + 300 + 2 = 4,302

600 + 50 + 4 = 654

20,000 + 2,000 + 300 + 60 + 5 = 22,365

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In this section, we will cover fifth-grade math problems that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.

8.9 and 8.900 are the same.

Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.

In this section, we will review math problems for fifth graders that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations .

## Adding and subtracting whole numbers by transformation

A large portion of fifth-grade math problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practice adding and subtracting two and three-digit numbers by transformation.

How to add numbers using transformation?

When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50

52 – 2 = 50

50 + 50 = 100.

It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate!

32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.

208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.

321- 1 = 320 199 + 1 = 200 320 – 200 = 120 120 + 2 = 122 The answer is 122

## Division using area models

Don’t know what an area model is? See our area model guide to help with these problems.

Using an area model find the quotient of 365 ፥ 5 =

Using an area model find the quotient of 504 ፥ 6 =

Using the area model below, find the quotient of 872 ፥ 2 =

## Order of operations

Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.

## Hard multiplication math problems

Some of the hardest math problems for fifth graders involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practice a few of each!

## Multiplying using square models

Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.

Multiply 42 x 35 using the square model below.

Multiply 55 x 76 using the square model below.

Multiply 98 x 42 using the square model below.

## Multiplying fractions and whole numbers using expanded form

Multiply ½ x 5 using expanded form.

Multiply ⅔ x 6 using expanded form.

Multiply ⅙ x 7 using expanded form.

## Multiplying fractions using a number line

Multiply ½ x 4/6 by using a number line.

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## Word problem answer sheet

Mia drinks 6 cups of water each day. Explanation: There are 8 ounces in each cup. So 24 divided by 8 is equal to 3 cups each day.

280 square feet. Explanation: The area of one lot is 10 x 7 = 70 square feet. Take that area and times it by four, so 70 x 4 = 280 square feet.

Josh rides 20 miles on his bike each week. Explanation: Each day Josh rides 5 total miles: 2.5 miles to the park and 2.5 miles back home. If we multiply that number by 4 days a week, it equals 20 miles in all.

## Writing numbers answer sheet

2 is in the hundreds place.

0 is in the tens place.

2 is in the ones place.

## Division using area models answer sheet

## Multiplying using square models answer sheet

## Multiplying fractions and whole numbers using expanded form answer sheet

## Multiplying fractions using a number line answer sheet

Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓.

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## EM4 at Home

Multiplication of mixed numbers; geometry; graphs.

Lesson | Vocabulary | Home Link Help | Games |
---|---|---|---|

Multiplication of Mixed Numbers, Part 1 | Home Link 7-1
| ||

Multiplication of Mixed Numbers, Part 2 | Home Link 7-2
| ||

Rectangles with Fractional Side Lengths | Home Link 7-3
| ||

Using Common Denominators for Fraction Division | Home Link 7-4
| ||

A Hierarchy of Triangles | Home Link 7-5
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A Hierarchy of Quadrilaterals | Home Link 7-6
| ||

Playing Property Pandemonium | Home Link 7-7
| ||

Open Response: A Hierarchy of Polygons | Home Link 7-8
| ||

Collecting and Using Fractional Data | Home Link 7-9
| ||

Identifying and Visualizing Patterns | Home Link 7-10
| ||

Rules, Tables, and Graphs, Part 1 | Home Link 7-11
| ||

Rules, Tables, and Graphs, Part 2 | Home Link 7-12
| ||

Old Faithful's Next Eruption | Home Link 7-13
| ||

Unit 7 Progress Check | Home Link 7-14 |

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Fifth graders read and write equations. In this equation writing activity, 5th graders use real life scenarios to write equations. Students use manipulatives, draw pictures and make tables to understand how to write equations. Students work in groups and use newspapers to write equations.

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## Unit 4: Add and subtract fractions

About this unit.

It's time to tackle fractions! From common denominators to unlike denominators, this unit will teach you everything you need to know to add and subtract them confidently. Get ready to show those fractions who's boss!

## Strategies for adding and subtracting fractions with unlike denominators

- Visually adding fractions: 5/6+1/4 (Opens a modal)
- Visually subtracting fractions: 3/4-5/8 (Opens a modal)
- Estimating adding fractions with unlike denominators (Opens a modal)
- Visually add and subtract fractions Get 3 of 4 questions to level up!
- Estimate to add and subtract fractions with different denominators Get 3 of 4 questions to level up!

## Common denominators

- Finding common denominators (Opens a modal)
- Common denominators: 1/4 and 5/6 (Opens a modal)
- Common denominators: 3/5 and 7/2 (Opens a modal)
- Common denominators review (Opens a modal)
- Common denominators Get 3 of 4 questions to level up!
- Equivalent expressions with common denominators Get 3 of 4 questions to level up!

## Adding and subtracting fractions with unlike denominators

- Adding fractions with unlike denominators introduction (Opens a modal)
- Adding fractions with unlike denominators (Opens a modal)
- Subtracting fractions with unlike denominators introduction (Opens a modal)
- Subtracting fractions with unlike denominators (Opens a modal)
- Adding and subtracting 3 fractions (Opens a modal)
- Solving for the missing fraction (Opens a modal)
- Add fractions with unlike denominators Get 5 of 7 questions to level up!
- Subtracting fractions with unlike denominators Get 5 of 7 questions to level up!
- Add and subtract fractions Get 3 of 4 questions to level up!

## Adding and subtracting mixed numbers with unlike denominators

- Adding mixed numbers: 19 3/18 + 18 2/3 (Opens a modal)
- Subtracting mixed numbers: 7 6/9 - 3 2/5 (Opens a modal)
- Adding mixed numbers with regrouping (Opens a modal)
- Subtracting mixed numbers with regrouping (unlike denominators) (Opens a modal)
- Add and subtract mixed numbers with unlike denominators (no regrouping) Get 3 of 4 questions to level up!
- Add and subtract mixed numbers with unlike denominators (regrouping) Get 3 of 4 questions to level up!

## Adding and subtracting fractions with unlike denominators word problems

- Adding fractions word problem: paint (Opens a modal)
- Subtracting fractions word problem: tomatoes (Opens a modal)
- Add and subtract fractions: FAQ (Opens a modal)
- Add and subtract fractions word problems Get 3 of 4 questions to level up!

## Learning Pal

- National Mathematics Program Lesson Scripts

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## What is the National Mathematics Program?

The National Mathematics Program by the Department of Education is a systematic approach to teaching mathematics in schools. It aims to provide students with a solid foundation in mathematics, enabling them to develop critical thinking and problem-solving skills. The program is designed to align with global standards, ensuring that students receive a quality education that prepares them for future academic and career opportunities.

## Understanding the Budget of Work

The Budget of Work is a detailed outline that breaks down the mathematics curriculum into manageable segments over a specified period, usually an academic year. It serves as a roadmap for educators, helping them to plan and allocate time efficiently across different topics and skills. Here’s what it typically includes:

- Objectives: Clear goals for what students should achieve by the end of each period.
- Topics: A list of topics to be covered, arranged in a logical sequence.
- Time Allocation: Specific time frames assigned to each topic, ensuring balanced coverage throughout the year.
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Lesson Scripts are detailed guides that outline the step-by-step process of delivering a lesson. They include instructions, activities, and resources needed to teach a particular topic effectively. Here’s what you’ll typically find in a lesson script:

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- Materials Needed: List of materials and resources required for the lesson.
- Step-by-Step Instructions: Detailed instructions on how to conduct the lesson, including explanations, demonstrations, and activities.
- Assessment Strategies: Methods to evaluate student understanding and progress during and after the lesson.

## Download Free Budget of Work and Lesson Scripts

We understand the importance of having access to quality educational resources. That’s why we are offering free downloads of the Budget of Work and Lesson Scripts for the National Mathematics Program by the Department of Education. These resources are meticulously crafted to support both teachers and students in achieving their educational goals.

## Download Budget of Work

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This Go Math video answers the Essential Question: How can you write and graph ordered pairs on a coordinate grid using two numerical patterns? This FINAL le...

How can you use the graph for Exercise 2 to find how many cups are in 9 quarts? Possible answer: Extend the line on the graph. Locate 9 on the x-axis and draw a vertical line up to the line plotted on the graph. From that point, draw a horizontal line to the y-axis. The number on the y-axis is the number of cups that are equal to 9 quarts. 36 4.

Skill plan for enVision Mathematics - Grade 5 IXL provides skill alignments with recommended IXL skills for each topic. ... Lesson 4-9: Model with Math Multiply money amounts: word problems ... Lesson 9-7: Solve Problems Using Division Divide unit fractions and whole numbers: word problems Lesson 9-8: Repeated Reasoning Add, subtract, multiply ...

Select amount. 5th grade (Eureka Math/EngageNY) 6 units · 141 skills. Unit 1 Module 1: Place value and decimal fractions. Unit 2 Module 2: Multi-digit whole number and decimal fraction operations. Unit 3 Module 3: Addition and subtractions of fractions. Unit 4 Module 4: Multiplication and division of fractions and decimal fractions.

Line Plots - Lesson 9.1. Ordered Pairs - Lesson 9.2. Graph Data - Lesson 9.3. Line Graphs - Lesson 9.4. Numerical Patterns - Lesson 9.5. Problem Solving - Find a Rule - Lesson 9.6. Graph and Analyze Relationships - Lesson 9.7. Customary Length - Lesson 10.1. Customary Capacity - Lesson 10.2.

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The 5th grade math problems on the sheets are longer math problems designed to encourage children to use a range of math skills to solve them. The skills the problems will help to develop include: systematic working. logical thinking. number fact knowledge. fraction problems. trial and improvement strategies. working backwards.

Lesson 2: Hands On: Divide Using Base-Ten Blocks. Divide by 2-digit numbers using models. Lesson 3: Divide by a Two-Digit Divisor. Divide 2-digit and 3-digit numbers by 2-digit numbers. Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems. Lesson 3: Divide by a Two-Digit Divisor.

Problem-Based Tasks Require Studentsto Apply Their Knowledge in New Contexts. Problem-based tasks are math lessons built around a single, compelling problem. The problems are truly "problematic" for students — that is, they do not offer an immediate solution. The problems provide an opportunity for students to build conceptual understanding.

Typeset May 4, 2016 at 18:58:52. Licensed by Illustrative Mathematics under a. Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. Providing instructional and assessment tasks, lesson plans, and other resources for teachers, assessment writers, and curriculum developers since 2011.

The Mashup Math 5th Grade Math Worksheets Library included over 300 5th grade math worksheets pdf downloads with complete answer keys that cover key fifth grade math topics including the order of operations, fractions and decimals, geometry, algebra, and word problems. Every worksheet in the library below was specifically designed to meet the ...

K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Free 5th grade word problem worksheets, including adding, subtracting, multiplying and dividing fraction word problems, decimal word problems, GCF and LCM word problems and ...

That's right, there will be a total of 35 math problems for 5th graders for us to practice. Without realizing it, you just solved one of our first 5th-grade math word problems. Excellent work! Together we will review fifth-grade math problems with decimals, fractions, order of operations, and rounding. We will even consider hard math problems ...

The following collection of free 5th grade maths word problems worksheets cover topics including mixed operations, estimation and rounding, fractions, and decimals. These free 5th grade math word problem worksheets can be shared at home or in the classroom and they are great for warm-ups and cool-downs, transitions, extra practice, homework and ...

Home Link 7-7 English Español Selected Answers. 7-8. Open Response: A Hierarchy of Polygons. Home Link 7-8 English Español Selected Answers. 7-9. Collecting and Using Fractional Data. Home Link 7-9 English Español Selected Answers

Learn. Multiplying 2 fractions: fraction model. Multiplying 2 fractions: number line. Multiplying 2 fractions: 5/6 x 2/3.

You can use them for fast finishers, enrichment, morning work, or to throw in the sub tub! This set includes:40 Pages of Brain Teaser QuestionsRecord SheetEditable Record SheetAnswer KeysTeacher Notes Why you. 3 rd - 5 th. Critical Thinking, For All Subject Areas, Problem Solving. $10.00.

Curated and Reviewed by Lesson Planet. This Problem Solving lesson plan also includes: Project. Join to access all included materials. Fifth graders read and write equations. In this equation writing activity, 5th graders use real life scenarios to write equations. Students use manipulatives, draw pictures and make tables to understand how to ...

PROBLEM SOLVING Lesson 2.q COMMON CORE STANDARD CC.5.NBT.6 Perform operations with multi-digit whole work. numbers and with decimals to hundredths. 208 baseball cards 16 16 ... (Lesson 1.9) @ 12 5. Annie plants 6 rows of small flower bulbs in a garden. She plants 132 bulbs in each row. How many bulbs does Annie plant in all? (Lesson 1.6)

Math; 5th grade; Unit 4: Add and subtract fractions. 1,000 possible mastery points. Mastered. Proficient. Familiar. ... 7 6/9 - 3 2/5 (Opens a modal) Adding mixed numbers with regrouping ... Add and subtract fractions word problems Get 3 of 4 questions to level up!

Lesson Scripts are detailed guides that outline the step-by-step process of delivering a lesson. They include instructions, activities, and resources needed to teach a particular topic effectively. Here's what you'll typically find in a lesson script: Lesson Objectives: What the students should learn and be able to do by the end of the lesson.

Illustrative Mathematics Grade 7 Open Up Resources OURUnit 5 Lesson 9More resources available at: mathhelp.cusd.com

This video covers Lesson 7.10 Problem Solving-Find Unknown Lengths on pages 345-348 of the 5th grade GO Math textbook.

Go Math! Practice Book (TE), G5. Name Problem Solving Practice Addition and Subtraction Read each problem and solve. 31 11% PROBLEM SOLVING Lesson 6.q COMMON CORE STANDARD CC.5.NF.2 Use equivalent fractions as a strategy to add and subtract fractions. Write an equation: 8 = 21 + 21 + X Rewrite the equation to work backward: Subtract twice to ...