problem solving math problems for 5th grade

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 year group

• 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. 

Lesson credits

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring elementary through college level math. "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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35 Math Questions For 5th Graders: Answers With Worked Examples

Anantha Anilkumar

In 5th grade math, the toughest questions are often the reasoning questions. In this article, we’ve put together a collection of math questions for 5th graders, organized by the different kinds of reasoning questions that students may encounter on standardized tests and beyond.

Why Focus On Math Reasoning Questions?

Most fifth graders find reasoning questions to be the most difficult. Unsurprisingly, we teach thousands of students in the weeks leading up to standardized tests. Teaching them math reasoning skills at the elementary level is a big part of what we do here at Third Space Learning.

We even recently made the decision to restructure our elementary lessons to introduce math reasoning questions earlier in their learning journey as the difficulty level was just too high at the end of the lesson. We  definitely feel fifth grade teachers’ pain!

Whatever level your students are currently achieving in math, math reasoning questions will appear from elementary to high school, so it is an essential skill for the future.

If you find you have children in your class with a lot more catching up to do than others, then we may be able to support them with some personalized one-on-one tutoring if you get in touch.

Reasoning Questions for 5th Grade

Help your 5th grade students to feel confident with different types of reasoning questions.

35 Math Questions For 5th Graders

There are 7 types of math reasoning questions that fifth graders are likely to encounter:

For each of these types we’ll examine an example problem, looking at the question, the correct answer, and how to go about answering this problem.

We’ll also look at further examples of each type of math reasoning question and answer, again with worked examples and an explanation of how to answer each.

Our aim is to provide you with a sample of the types of math reasoning questions and how to teach the reasoning and problem solving skills they’ll need to solve them.

For more word problems like this, check out our collection of 2-step and multi-step word problems . For advice on how to teach children to solve problems like this, check out these math problem solving strategies.

Math Question Type 1: Single step word problems

The simplest type of reasoning question students are likely to encounter, single step problems are exactly that: students are asked to interpret a written question and carry out a single mathematical step to solve it.

Take a look at the question below:

Reasoning Question 1

Answer: $0.65

A relatively easy question to interpret–the first step will be to rewrite the amounts given so that they can properly line up the place values in order to solve. From here the simple mathematical step is subtraction i.e. $2.00 – $1.35 = 0.65.

The most crucial skill for grade schoolers in this question is a solid understanding of money as relating to place value. If this understanding is present, the mathematical step itself is quite easy.

Below are several more examples:

Reasoning Question 2

Answer : 7 hours 24 minutes

Students need to understand that one hour is equal to 60 minutes. From here the single mathematical step is division: 444/60, to find a whole number answer with a remainder.

Reasoning Question 3

Answer : 48 cm 3

Students must multiply length by width by height, using the amounts provided by the question.

Reasoning Question 4

Answer : 1,488 cubic cm

A simple enough calculation (multiplying) if students are aware that the volume of a rectangular prism can be found by multiplying the area of the base by the height.

Reasoning Question 5

Answer : 7,590

A single, relatively simple rounding problem – students should recognize that ’94’ is the place they should focus on for this problem.

Math Question Type 2: Multiple step worded problems

A more complex version of the single step word problem, multi-step problems require students to interpret a written problem, but solving it then requires the use of two or three math skills.

For example, consider this question below:

Answer: $1.85

This question encompasses three different math skills: multiplying (and dividing) decimals, addition and subtraction. Students can choose to work out the multiplication or division first, but must complete both before moving on.

Once these values have been worked out the next steps are relatively simple – adding the two values together, and subtracting the total from $5.

Multi-step problems are particularly valuable to include in practice tests because they require children to apply their knowledge of math language and their reasoning skills several times across the course of a single question, usually in slightly different contexts.

More examples:

Answer : $5,520

There are two steps to this problem, but both are multiplication. The first is to work out how much money is made per day – 92 x $15. This product is then multiplied by 4 – the number of days – to get to the answer.

Answer : 1360 miles

Another two step problem. The first step is to work out 4 of 3,400 miles. Then divide this by 10 to solve for 4/10 of 3,400.

Answer : $153

There are four steps involved in solving this problem: multiplication (doubling $51), division (dividing $51 in half), multiplication again (doubling half of $51–which some students may recognize those last two steps were unnecessary as that brings us back to $51), and addition (putting the two costs together).

Given the number of steps involved it can be easy for students to make arithmetic mistakes.

Answer : 11.45 lbs

A two-step problem again: multiplying 3.45 lbs by 4, then subtracting 2.35 lbs from the total. 

Math Question Type 3: Problems involving measurements

As their name suggests, these questions ask students to solve a problem that includes one or more units of measurement.

Answer: 40 washes

This is a two step problem; students must first be able to read and convert kilograms to grams (and therefore know the relationship and conversions between the two units- 1,000 grams to 1 kilogram), multiply 2.6 by 1,000 which equals 2,600, then divide 2,600 by 65. The quotient is the number of washes possible.

Further examples:

Answer : 50g

A relatively simple division problem, relying on students having knowledge that 200g is one fifth of a kilogram.

Answer : 5.12 miles

Another three step problem, and this requires students to subtract and divide decimals – subtracting 12.63 miles from the total amount, taking the difference, 13.91, and subtracting 3.67 miles, and then dividing that difference, 10.24, in half to obtain the distance the other two friends ran.

Answer : 84 inches/7 foot

To find 8 feet in inches, students must multiply 8 by 12. This gives the answer 96 inches. Students must then divide 96 by 40 to find the height of one box: 2.4 inches. Multiply 2.4 by 5 and minus this from the original 96 inch tower. 

Interesting to note that the units for the answer may or may not be specified – an answer given in inches or feet will be accepted, however sometimes the unit will be specified in the answer box. This is why we encourage students to keep an eye on whether units are provided in the answer box.

Answer : 0.05 lbs

As with the running question there are three steps involved to solve this problem: subtracting the heaviest car from the total amount (3.85 – 1), figuring out the weight of the remaining three cars (2.85/3) and subtracting 0.95 from 1 to get the remaining amount of 0.05 lbs.

Question Type 4: Problems involving drawing

Problems involving drawing require students to construct an accurate drawing by following a set of instructions, or through reflection, translation, or scaling.  

Answer: Any pair of lines that make a square of 4 units, a rectangle of 6 units, and a square of 25 units.

This question is considerably more complex than it appears, and incorporates aspects of multiplication as well as spatial awareness. One potential solution is to work out the area of the card (35), then work out the possible square numbers that will fit in (understanding that square numbers produce a square when drawn out as on a grid), and which then leave a single rectangle behind.

A lot of work for a single point!

Some further examples:

Answer : Any quadrilateral made by joining the dots that has 3 acute angles e.g. an arrowhead shape.

Answer : An accurately drawn angle.

This question demands students to have an understanding of and ability to accurately use a protractor. Often, a mark scheme allows some room for error – “between 34 and 36 degrees” is acceptable.

As with the question above, a small amount of room for error is given as it acceptable to be between 139 and 141 degrees.

Answer : Points drawn at (2,1), (5,1) and (2,4).

Math Question Type 5: Explanation questions

These problems ask children to explain a mathematical statement or error.

As an example:

Answer: If the distance from P to R is 800 yards and the distance from P to Q is (Q -> R x 4), it must be 4/5 of 800 = 640 yards. Therefore Olivia is wrong.

More than most problems, this type requires students to actively demonstrate their reasoning skills as well as their mathematical ones. Here students must articulate either in words or (where possible) numerically that they understand that Q to R is 1/5 of the total, that therefore P to Q is 4/5 of the total distance, and then calculate what this is via division and multiplication.

Further examples below:

Answer : No, 2/100 is the same as 2 divided by 100, which equals 0.02.

Answer : No; multiplication and division have the same priority in the order of operations, so in a problem like 40 x 6 ÷2, you would carry out the multiplication first as it occurs first.

Answer : No

Any explanation that provides a counter-example is acceptable e.g. “Not if the number is 1”, “Not for 0,” “Not if the number is less than 1” etc.

Answer : Any answer that refers to the fact that there is a 5 in the hundredths place, AND a 9 in the thousandths place, so that the number has to be rounded up as far as the ten-thousands place.

Math Question Type 6: Sequence questions

Another relatively simple kind of reasoning question, sequence problems involve students completing mathematical sequences.

Consider this example:

Answer: 35 , 42, 49, 56 , 63, 70

The question’s instructions point clearly to the solution: figure out what the increase between numbers is, then apply this via addition or subtraction to find the missing numbers.

Higher achieving students might quickly pick up that this is in fact the 7 times table and rely on their knowledge of multiplication facts to obtain the answer – this should be encouraged so long as they then check their answer in the normal method to ensure they haven’t made a mistake.

Answer(s) : 8/8 or 1 and 2 1/8 (OR 17/8)

Both answers must be correct to receive the point. Students must recognize that 3/4 is the same as 6/8, so the sequence is increasing in 3/8 each time. The first number is 3/8 less than 1 3/8 and the final number is 3/8 greater than 1 3/4. They then must be able to add and subtract fractions to obtain the answers.

Answer(s) : 4.2 and 7

Answer(s) : 128, 135 and 156.

Answer(s) : 0 and 24

This number line question can be a little tricky; students need to figure out that the marks on the line represent increments of 3, and count backwards and forwards in 3’s to obtain the missing numbers.

Math Question Type 7: Ordering questions

A slightly more complex variation of the sequence question, ordering problems require students to put a set of numbers, fractions or measures in the correct order.

A good example is this fifth grade math question below:

Answer: 3/5, 3/4, 6/5

This question throws a wrench in things by including an improper fraction, but this is hardly unusual. These sorts of questions are just the place to find other ‘curveballs’ such as equivalent fractions, mixed numbers, decimal numbers, and fractions all mixed into one problem.

A good knowledge of the fundamentals of fractions is essential here: students must understand what a larger denominator means, and the significance of a fraction with a numerator greater than its denominator.

Answer : D,C,A,B

Encourage students to convert all the fractions to one denominator value to make ordering easier.

Answer : (descending down the ‘Place’ column) 3rd, 5th, 2nd, 4th

Students could use many strategies to solve this problem. The most time consuming would be to rewrite all the fractions with a common denominator. More efficient strategies would include reasoning about the size of the fractions in comparison to ½ or 1. For instance, a student may notice that ⅜ is the only fraction less than ½, putting Ben in 5th place. 4/8 is exactly ½ whereas the others are greater than ½, putting Michael in 4th place. Then the student may recognize that 10/12 is closer to 1 than ¾, completing the rest of the table.

Answer : C, B, D, A

Answer : D, A, C, B

7 Top Tips For Answering 5th Grade Math Reasoning Questions

Now that we’ve covered how to answer some specific types of reasoning questions, here are some more generic tips for success in standardized tests. They may not all be applicable to every single question, but will apply to at least two, usually more.

• Get students in the habit of identifying what information they’re given in a question, and what they need to know to solve the problem. This helps them start to form the steps needed to find the solution.
• Ask students to ‘spot the math’ in a question – which operations or skills do they actually need to use to solve the problem? This is useful even for arithmetic questions – it’s no surprise how often children can misread a question.
• Check the units! Especially in questions involving multiple measures, it can be easy to give the answer in the wrong one. The answer box might give a specific unit of measurement, so students should work to give their answer in that unit.
• In a similar vein, remind students to convert different units of measurement in a question into the same unit to make calculations easier e.g. lbs to oz.
• Encourage numerical answers where possible. Even in explanation questions demonstrating the mathematical equation is a better explanation than trying to write it out.
• The bar model can be a useful way of visualizing many different types of questions, and might make it easier to spot the ‘steps’ needed for the solution.
• Check your work! Even if the work is ultimately irrelevant to the question, you can lose points if it is wrong.

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by Anantha Anilkumar at Third Space Learning and has since been revised and adapted for US schools by elementary math teacher Katie Keeton.

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Grade 5 Math Worksheets

Related Pages Math Worksheets according to Topics Math Worksheets according to Grades Interactive Zone Grade 5 Math Lessons

These free interactive math worksheets are suitable for Fifth Grade or Grade 5. Use them to practice and improve your mathematical skills.

Prime Numbers

Prime Numbers (Up to 10) Prime Numbers (Up to 20) Prime Numbers (Up to 50) Prime Numbers (up to 100)

Prime Numbers (Sprint)

Multiples and Factors

Least Common Multiple Greatest Common Factor/Divisor

Addition Worksheets

Add two 4-digits Add two 5-digits

Chain Addition (2 digits, 3 addends) Chain Addition (3 digits, 3 addends) Chain Addition (4 digits, 3 addends) Chain Addition (2 digits, 4 addends) Chain Addition (3 digits, 4 addends) Chain Addition (4 digits, 4 addends)

Subtraction Worksheets

Subtract two 4-digits Subtract two 5-digits

Multiplication Worksheets

Printable Multiply Multi-digit by 1-digit (eg. 6,435 x 7) Multiplication Word Problems

2-step Word Problems (using +, -, ×) Multi-step Word Problems (using +, -, ×)

Multiply 2-digit by 2-digit (eg. 35 × 24) Multiply 3-digit by 2-digit (eg. 215 × 32)

Generated Multiply 2-digits by 1-digit Multiply 3-digits by 1-digit Multiply 2-digits by 2-digits Multiply 3-digits by 2-digits

Division Worksheets

Printable Division Facts (Random Order) Divide by Multiples of 10 (eg. 6,300 ÷ 300)

Long Division with or without Remainders Divide 2-digit by 1-digit (eg. 74 ÷ 3) Divide 3-digit by 1-digit (eg. 576 ÷ 5) Divide 4-digit by 1-digit (eg. 3,870 ÷ 4)

Divide by 2-digit Divisors

Division Word Problems Division Word Problems (2-digit ÷ 1-digit) Division Word Problems (3-digit ÷ 1-digit) Division Word Problems (4-digit ÷ 1-digit)

Generated Divide 2-digits by 1-digit Divide 3-digits by 1-digit Divide 2-digits by 2-digit Divide 3-digits by 2-digit Divide 2-digits by 1-digit (with remainder) Divide 3-digits by 1-digit (with remainder) Divide 2-digits by 2-digits (with remainder) Divide 3-digits by 2-digits (with remainder)

Order of Operations Worksheets (PEMDAS, BEDMAS)

Order of Operations (+, -, ×, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis) Order of Operations (+, -, ×, ÷, parenthesis, exponents)

Order of Operations (+, –) Order of Operations (parenthesis, +, –) Order of Operations (×, ÷ ) Order of Operations (parenthesis, ×, ÷) Order of Operations (×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, ×, ÷, +, –) Order of Operations (parenthesis, exponent, ×, ÷ +, –) Order of Operations (mixed) Order of Operations (mixed) Order of Operations (mixed)

Decimal Worksheets

Write Decimals in Words Write Decimals in Numerals

Compare Decimals Order Decimals

Round Decimals (nearest whole number) Round Decimals (nearest tenths) Round Decimals (nearest hundredths) Round Decimals (different place values)

Adding Decimals Subtracting Decimals

Multiply Decimals by 10, 100, 1000 Divide Decimals by 10, 100, 1000

Multiply Decimals by Powers of 10 (eg. 3.2 × 10 3 ) Divide Decimals by Powers of 10 (eg. 74.2 ÷ 10 3 )

Multiply Decimals by Whole Numbers (eg. 3.12 × 8) Divide Decimals by Whole Numbers (eg. 7.28 ÷ 4)

Rounding Decimals (nearest whole number) Rounding Decimals (nearest tenths) Rounding Decimals (nearest hundredths) Rounding Decimals (mixed)

Adding Decimals (Tenths) Adding Decimals (Hundredths) Adding Decimals (Thousandths) Adding Decimals (Thousandths) Subtract Decimals (Tenths) Subtract Decimals (Hundredths) Subtract Decimals (Thousandths) Subtract Decimals (Thousandths)

Multiply Decimals by Tens (10s, 100s, 1000s) Multiply Decimals by Whole Number (1-digit) Multiply Decimals by Whole Number (Multi-digit) Multiply two Decimals Divide Decimals by Ten (10s, 100s, 1000s) Division with Decimal Quotients (Tenths) Division with Decimal Quotients (Hundredths)

Decimal Word Problems (One-Step, Addition $ Subtraction) Decimal Word Problems (Two-Step, Addition $ Subtraction) Decimal Word Problems (Mixed Operations) Decimal Word Problems (Mixed Operations)

Changing Decimals to Fractions Changing Fractions to Decimals (with denominators 10, 100, 1,000)

Fraction Worksheets

Equivalent Fractions Reduce Fractions (proper fractions) Simplify Fractions (proper & improper fractions)

Improper Fractions to Mixed Numbers Mixed Numbers to Improper Fractions

Add Like Fractions Add Unlike Fractions

Subtract Like Fractions Subtract Unlike Fractions Subtract Fraction from Whole Number

Add Mixed Numbers (like denominators) Add Mixed Numbers (unlike denominators)

Subtract Mixed Numbers (like denominators, no regrouping) Subtract Mixed Numbers (like denominators, regrouping) Subtract Mixed Numbers (unlike denominators, no regrouping) Subtract Mixed Numbers (unlike denominators, regrouping)

Multiply Fractions with Canceling Multiply Fractions & Whole Numbers Multiply Mixed Numbers

Equivalent Fractions Compare Fractions Improper fractions to mixed numbers Mixed numbers to improper fractions Greatest Common Factor Simplify Fractions

Add Fractions (with common denominator & no simplifying) Subtract Fractions (with common denominator & no simplifying) Add & Subtract Fractions (with common denominator & simplifying answers) Least Common Multiple or Least Common Denominator Add & Subtract Fractions (with unlike denominators & step-by-step guide) Add & Subtract Fractions (with unlike denominators) Add Fractions (mixed) Subtract Fractions (mixed)

Multiply Fractions by Whole Numbers Multiply Two Fractions Divide Whole Numbers by Fractions Divide Fractions by Whole Numbers Divide Fractions by Fractions Divide Two Fractions

Adding Mixed Numbers Subtracting Mixed Numbers Add Mixed Numbers Subtract Mixed Numbers

Fraction Word Problems Adding & Subtracting Fractions Fraction Word Problems Adding & Subtracting Mixed Numbers (One-Step) Fraction Word Problems Adding & Subtracting Mixed Numbers (Two-Step) Fraction Word Problems Adding & Subtracting Mixed Numbers (Two-Step)

Measurement Worksheets

Temperature Conversion Celsius to Fahrenheit Temperature Conversion Fahrenheit to Celsius Temperature Conversion Mixed

Standard Measurement Conversion Metric Measurement Conversion

Metric Length Conversion (mm, cm, m, km) Adding lengths (km, m, cm, mm) Subtracting Lengths (km, m, cm, mm) Multiplying Lengths (km, m, cm, mm) Dividing Lengths (km, m, cm, mm)

Metric Weight Conversion (kg, g, mg) Adding and Subtracting Weights (kg, g, mg) Multiplying Weights (kg, g, mg) Dividing Weights (kg, g, mg)

Time Worksheets

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• 5th Grade Math
• Problem solving

5th Grade math problems worksheets with answers: Practice makes perfect

If you have a 5th grader who loves solving math all the time or needs some motivation and extra practice to perfect their problem-solving skills in math, you've come to the right place! This article will offer you outstanding 5th Grade math problems worksheets with answer s fit to challenge even the most savvy math whiz.

Solving 5th Grade math problems: Worksheets with step-by-step answers

Get ready to make math a thrilling adventure for your 5 th graders with a range of fun and easy solving 5th Grade math problems . These worksheets are given with step-by-step answers sheets guide, helpful in assessing student performance and solving skills quickly.

These exciting 5th Grade math problems worksheets with answers cover topics such as addition and subtraction, multiplication and division, fractions and decimals, geometry and measurement, data and probability, and more.

In addition to the types of worksheets, this article will give you 10 awesome math problems for 5th grade with solutions and tips and tell you how to use math problems worksheets to prepare for tests and assessments. And finally, we'll point you to some of the best free and paid resources where you can find more math problems worksheets for 5th grade. Ready to dive in? Let's go!

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Download free worksheets, 5th grade math topics.

• Number sense
• Addition and subtraction

Multiplication

• Number theory
• Add & subtract decimals
• Multiply decimals
• Divide decimals
• Fractions & mixed numbers
• Add & subtract fractions
• Multiply fractions
• Divide fractions
• Mixed operations
• Problems solving
• Ratios and rates
• Percentages
• Number sequences
• Coordinate graph
• Variable expressions
• Data and Graphs
• Probability and statistics
• Telling time
• Unit of measurements
• Triangles & quadrilaterals
• Symmetry & transformations
• Geometric measurements

Start practice on Fifth Grade here

How to make math fun and engaging for your 5th grader.

Math can be challenging for many students, especially as they advance to higher grades and encounter more complex concepts and operations. Some students may feel bored, frustrated, or anxious about math and lose interest or confidence in their abilities. That's why it's important to make math fun and engaging for your 5th grader and to show them that math is practical, enjoyable, and rewarding.

Here are some tips on how to make math fun and engaging for your 5th grader

• Use games, puzzles, riddles, and brainteasers to stimulate your child's curiosity and creativity . Games can help your child develop logical thinking, problem-solving, and strategic skills and reinforce essential math facts and operations. You can find many online games suitable for 5th graders or create your games using cards, dice, dominoes, or other materials.

You can also ask your child questions that require them to use math skills or concepts, such as "How much change will we get if we buy this item?" or "How long will it take us to drive to this destination?"

You can help your child discover the connections between math and their hobbies or passions by exposing them to books, videos, websites, podcasts, or other resources that showcase the beauty and diversity of math.

• Praise your child's efforts and achievements in math . Math can be challenging sometimes, but it can also be very satisfying when your child solves a problem or learns a new concept. You can boost your child's confidence and motivation by acknowledging their hard work and progress in math and celebrating their successes. You can also encourage your child to set goals for themselves in math and to track their improvement over time.

The benefits of using worksheets to practice and reinforce math skills

One of the best ways to make math fun and engaging for your 5th grader is to use worksheets to practice and reinforce math skills. Worksheets are practical tools for learning and reviewing math concepts and operations. Also, they are versatile, flexible, and customizable. You can use worksheets to supplement your child's school curriculum or homework assignments and worksheets as independent practice or enrichment activities.

Here are some of the benefits of using worksheets to practice and reinforce math skills :

• Worksheets provide structured and organized practice for your child . Worksheets help your child focus on specific topics or skills they need to master or improve in math. Worksheets also provide clear instructions, examples, and feedback for your child.
• Worksheets offer variety and challenges for your child . Worksheets can include questions or tasks requiring your child to apply their knowledge or skills differently. Worksheets can also vary in difficulty level, so you can choose the ones that suit your child's needs or goals.
• Worksheets allow your child to work at their own pace and level . Worksheets give your child the freedom and flexibility to work on math problems whenever needed. Worksheets allow your child to work at their own pace and level; they can skip or repeat questions.
• Worksheets foster self-reliance and independence for your child . Worksheets encourage your child to take responsibility for their learning in math. Worksheets also foster self-reliance and independence for your child; they can check their answers using the answer keys provided or the hints or tips in some worksheets.

Discover Mathskills4kids.com 5th Grade math problems worksheets with answers

If you're looking for high-quality, engaging, and challenging math problems worksheets for 5th graders, you've come to the right place! At Mathskills4kids.com , we have created a collection of 5th Grade math problems worksheets with answers covering all the major topics and skills your child needs to know and practice in grade.

Mathskills4kids’ math problems worksheets are designed to help your child develop and improve their math skills and prepare them for tests and assessments. These math problems worksheets are also aligned with the Common Core State Standards for Mathematics, so you can be sure your child is learning the right content and skills for their grade level.

Mathskills4kids math problems worksheets for 5th graders include the following topics:

• Addition and Subtraction Word Problems
• Multiplication and Division Word Problems
• Fractions and Decimals Word Problems
• Geometry and Measurement Word Problems
• Data and Probability Word Problems

Each topic has several worksheets that contain different types of word problems requiring your child to use different strategies or methods to solve them. Some word problems are simple; others are more complex and multi-step. Some word problems are realistic and relatable; others are more abstract or creative. Some word problems are easy and familiar; others are more difficult and novel. The word problems challenge your child's thinking and reasoning skills and test their understanding and application of math concepts and operations.

Also, each worksheet has an answer key showing the correct solution and explanation for each problem. Some worksheets also include hints or tips that provide additional guidance or support for your child. You can use these hints or tips to help your child if they get stuck or need a clue.

Addition and subtraction word problems

Addition and subtraction are two of the most basic and essential math skills your child needs to master in 5th grade. Addition and subtraction are used to perform calculations with whole numbers, decimals, or fractions and to solve various word problems involving adding or subtracting quantities, distances, times, money, etc.

In 5th grade, your child is expected to be able to add and subtract multi-digit whole numbers, decimals up to thousandths, and fractions with unlike denominators. Your child is also expected to be able to solve word problems that involve addition and subtraction of these types of numbers, using different strategies such as estimation, rounding, regrouping, decomposing, or using properties of operations.

To help your child practice and reinforce their addition and subtraction skills, we have created several worksheets that contain different types of addition and subtraction word problems .

Below are some examples of addition and subtraction word problems:

• Alice has 3,456 stickers in her collection. She buys 2 more packs of stickers, each containing 128 stickers. How many stickers does Alice have in total?
• Ben has $45.67 in his bank account. He withdraws $12.50 to buy a gift for his friend. How much money does Ben have left in his account?
• Cindy has 2/3 of a pizza left over from lunch. She eats another 1/6 of a pizza for dinner. How much pizza does Cindy have left?
• David ran 7.5 miles on Monday. He ran 2.25 miles less on Tuesday than on Monday. How many miles did David run on Tuesday?

Multiplication and division word problems

One of the most important math skills that your 5th grader needs to master is solving word problems involving multiplication and division. These problems require them to apply their knowledge of the four operations and their understanding of place value, factors, multiples, and patterns. They will also use logical reasoning and critical thinking to find the best strategy to solve each problem.

To help your 5th grader practice and improve their multiplication and division word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with remainders. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Fractions and decimals word problems

Another key topic your 5th grader needs to master is solving word problems involving fractions and decimals. These problems require them to apply their knowledge of equivalent fractions, simplifying fractions, comparing fractions, adding, subtracting, multiplying, and dividing fractions and decimals, and converting between fractions and decimals. They will also use estimation and rounding skills, proportional reasoning, and problem-solving strategies.

To help your 5th grader practice and improve their fractions and decimals word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with mixed numbers and improper fractions. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Geometry and measurement word problems

Another essential topic your 5th grader needs to master is solving word problems involving geometry and measurement. These problems require them to apply their knowledge of angles, polygons, circles, area, perimeter, volume, surface area, units of measurement, conversions, and coordinate grids. They will use spatial reasoning, geometric reasoning, and algebraic thinking skills to solve these problems.

To help your 5th grader practice and improve their geometry and measurement word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with diagrams and graphs. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

Data and probability word problems

Another fun topic your 5th grader needs to master is solving word problems involving data and probability. These problems require them to apply their knowledge of mean, median, mode, range, graphs, tables, charts, surveys, experiments, outcomes, events, probability models, fractions, decimals, percentages, ratios, and rates. They will also use statistical reasoning and inferential thinking skills to analyze data and make predictions.

To help your 5th grader practice and improve their data and probability word problem skills, we have created a set of worksheets that cover a variety of scenarios and situations. Each worksheet has 10 problems, including one-step and multi-step problems and problems with graphs, tables, charts, and diagrams. The worksheets also include answer keys with detailed explanations and tips on how to solve each problem.

10 Awesome math problems for 5th Grade with solutions and tips

To give you a taste of our math problem worksheets for 5th grade, we have selected some of the most awesome math problems from each topic for you to try. These are not your typical math problems, but rather challenging and fun problems that will make your 5th grader think outside the box and use their creativity and logic to solve them. We have also provided the solutions and tips for each problem, so you can check your answers and learn from your mistakes.

Are you ready to take on these excellent math problems?

1. Multiplication Word Problem

Amanda has 12 boxes of chocolates. Each box has 24 pieces of chocolate. She wants to share them equally among her 18 friends. How many pieces of chocolate will each friend get?

Solution : To solve this problem, we need to multiply 12 by 24 to find Amanda's total number of pieces of chocolate. Then, we need to divide that number by 18 to find how many pieces of chocolate each friend will get.

12 x 24 = 288

288 ÷ 18 = 16

Therefore, each friend will get 16 pieces of chocolate.

Tip : To check your answer, reverse the operation and multiply 16 by 18 to see if you get back to 288.

2. Division Word Problem

A school bus can carry 48 students. 216 students are going on a field trip. How many buses will transport all the students?

Solution : To solve this problem, we will divide 216 by 48 to find how many buses are needed to transport all the students.

216 ÷ 48 = 4.5

However, we cannot have half a bus, so we must round up to the following number.

Therefore, 5 buses will transport all the students.

Tip : To check your answer, reverse the operation and multiply 5 by 48 to see if you get more than or equal to 216.

3. Fractions Word Problem

A recipe for a cake requires 3/4 cup of sugar. If you want to make one-third of the recipe, how much sugar do you need?

Solution : To solve this problem, we will multiply 3/4 by 1/3 to find how much sugar we need for half of the recipe.

3/4 x 1/3 = 3/12

Therefore, we need 3/12 cup of sugar for half of the recipe.

Tip : To simplify fractions, you can divide the numerator and the denominator by a common factor. For example, 3/12 can be simplified by dividing both by 3, which gives us 1/4.

4. Decimals Word Problem

A pizza costs $12.50 and has 8 slices. If you eat 3 slices, what fraction of the pizza did you eat? What percentage of the pizza did you eat? How much did you pay for the slices that you ate?

Solution : To solve this problem, we will find the fraction, percentage, and cost of the slices we ate.

To find the fraction, we will divide the number of slices we ate by the total number of slices in the pizza.

3 ÷ 8 = 3/8

Therefore, we ate 3/8 of the pizza.

To find the percentage, we will convert the fraction to a decimal and then multiply by 100.

3/8 = 0.375

0.375 x 100 = 37.5%

Therefore, we ate 37.5% of the pizza.

To find the cost per slice, we will divide the price of the pizza by the total number of slices in the pizza. Then, we will multiply that by the number of slices we ate.

12.50 ÷ 8 = 1.5625

1.5625 x 3 = 4.6875

Therefore, we paid $4.6875 for the slices that we ate.

Tip : To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/8 = 3 ÷ 8 = 0.375

5. Fraction of a whole word problem

A pizza is cut into 12 equal slices. Amy eats 3 slices, Ben eats 2, and Chris eats 4. What fraction of the pizza is left? How many slices are left?

Solution : To find the fraction of the pizza left, we will subtract the fractions that Amy, Ben, and Chris ate from the whole pizza. The whole pizza is 12/12 or 1. Amy ate 3/12, Ben ate 2/12, and Chris ate 4/12. So, we have:

1 - (3/12 + 2/12 + 4/12) = 1 - (9/12) = 1 - (3/4) = 1/4

So, the fraction of the pizza that is left is 1/4. To find how many slices are left, we can multiply the fraction by the total number of slices:

1/4 x 12 = 3

So, there are 3 slices left.

Tip : To subtract fractions with the same denominator, subtract the numerators and keep the denominator. To subtract fractions with different denominators, you must first find a common denominator.

6. Probability word problem

A bag contains 20 marbles: 8 red, 6 blue, and 6 green. What is the probability of randomly picking a red marble from the bag? What is the probability of picking a blue or a green marble?

Solution : To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of marbles in the bag, which is 20. The number of favorable outcomes for picking a red marble is the number of red marbles in the bag, which is 8. So, we have:

P (red) = 8/20 = 2/5

So, the probability of picking a red marble is 2/5. To find the probability of picking a blue or green marble, we need to add the probabilities of picking a blue marble and a green marble. The number of favorable outcomes for picking a blue marble is the number of blue marbles in the bag, which is 6. The number of favorable outcomes for picking a green marble is also 6. So, we have:

P (blue) = 6/20 = 3/10

P (green) = 6/20 = 3/10

P (blue or green) = P (blue) + P (green) = 3/10 + 3/10 = 6/10 = 3/5

So, the probability of picking a blue or a green marble is 3/5.

Tip : To add fractions with the same denominator, add the numerators and keep the denominator. To add fractions with different denominators, you must first find a common denominator.

7. Geometry and measurement word problem

A rectangular prism has a length of 10 cm, a width of 6 cm, and a height of 4 cm. What is its volume? What is its surface area?

Solution: The volume of a rectangular prism is given by the formula: length × width × height. In this case, the length is 10 cm, the width is 6 cm, and the height is 4 cm. Therefore, the volume of the rectangular prism is:

10 cm × 6 cm × 4 cm = 240 cm³

The surface area of a rectangular prism can be calculated using the formula: 2lw + 2lh + 2wh, where l is length, w is width, and h, is height. In this case, we have:

2(10 cm × 6 cm) + 2(10 cm × 4 cm) + 2(6 cm × 4 cm) = 248 cm²

Therefore, the volume of the rectangular prism is  240 cubic centimeters , and its surface area is  248 square centimeters .

8. Addition and Subtraction Word Problem

Lucy has 12 red apples and 8 green apples in her basket. She gives 5 red apples and 3 green apples to her friend Amy. How many apples does Lucy have left in her basket?

Solution: To solve this problem, we need to use addition and subtraction. First, we need to find out how many apples Lucy had before giving some to Amy. We can do this by adding the number of red apples and the number of green apples:

12 + 8 = 20

Lucy had 20 apples in total.

Next, we will determine how many apples Lucy gave Amy in total. We can do this by adding the number of red apples and the number of green apples that she gave:

Lucy gave 8 apples to Amy.

Finally, we will find out how many apples Lucy has left in her basket. We can do this by subtracting the number of apples that she gave from the number of apples that she had:

20 - 8 = 12

Lucy has 12 apples left in her basket.

Tip : When solving word problems involving addition and subtraction, it helps to identify the keywords that indicate what operation to use. For example, words like "in total," "altogether," "combined," or "sum" indicate addition, while words like "left," "remain," "difference," or "take away" indicate subtraction.

9. Multiplication and Division Word Problem

A pack of pencils contains 12 pencils. How many packs of pencils are needed to supply a class of 30 students if each student needs 2 pencils?

Solution: To solve this problem, we will use multiplication and division. First, we will determine how many pencils are needed for the class. We can do this by multiplying the number of students by the number of pencils per student:

30 x 2 = 60

The class needs 60 pencils in total.

Next, we will determine how many packs are needed to provide 60 pencils. We can do this by dividing the number of pencils by the number of pencils per pack:

60 ÷ 12 = 5

The class needs 5 packs of pencils.

Tip : When solving word problems involving multiplication and division, it helps to identify the keywords that indicate what operation to use. For example, words like "each," "per," "every," or "times" indicate multiplication, while words like "how many,” "groups," "quotient," or "divide" indicate division.

10. Fractions and Decimals Word Problem

A pizza is cut into 8 equal slices. John eats 3 slices, Mary eats 2 slices, and Tom eats 1 slice. What fraction of the pizza is left? What decimal number is equivalent to this fraction?

Solution : To solve this problem, we will use fractions and decimals. First, we will find out how many slices of pizza are left. We can do this by subtracting the number of slices that were eaten from the total number of slices:

8 - (3 + 2 + 1) = 8 - 6 = 2

There are 2 slices of pizza left.

Next, we will find out what fraction of the pizza is left. We can do this by writing the number of slices left as the numerator and the total number of slices as the denominator:

This fraction represents the part of the pizza that is left.

Finally, we will determine what decimal number is equivalent to this fraction. We can do this by dividing the numerator by the denominator:

2 ÷ 8 = 0.25

This decimal number represents the same part of the pizza that is left.

Tip : When solving word problems involving fractions and decimals, it helps to remember that fractions and decimals are different ways of representing parts of a whole.

To convert a fraction to a decimal, you can divide the numerator by the denominator.

To convert a decimal to a fraction, write the decimal as a numerator over a denominator of a power of ten (such as 10, 100, or 1000) and simplify if possible.

How to use 5 th Grade math problems worksheets with answers to prepare for tests and assessments

5 th Grade math problems worksheets are great tools to help students prepare for tests and assessments . They can help students review their learned topics, practice their skills and strategies, and identify their strengths and weaknesses. Here are some tips on how to use math problems worksheets effectively:

• Choose the worksheets matching your student's grade level and the topics they will study . You can find many free and paid resources online.
• Set a goal for each worksheet , such as how many problems you want kids to solve, how much time you want them to spend, or what score you want them to achieve.
• Read the instructions carefully and ask your learners to follow them . They can ask you for help if they are unsure what to do.
• Tell your 5 th graders to show their work and explain their reasoning for each problem . This will help students to check their answers and understand their mistakes.
• Use a calculator only when allowed or necessary . Encourage your 5 th Grade students to do mental math or use paper and pencil whenever possible.
• Check your learner's answers with the answer key or a reliable source . If your students got a problem wrong, try to figure out why and how to fix it.
• Keep track of learner progress and results . You can use a notebook, a spreadsheet, or an online tool to record the worksheets your learners have completed, the problems they have solved, the time they have spent, and the scores they have obtained.
• Review students' work and feedback regularly . Look for patterns in students' errors, such as common mistakes, misconceptions, or gaps. Focus on improving the areas that they need to work on.
• Celebrate their achievements and reward them . Recognize learners’ efforts and accomplishments, and treat them with something they enjoy, such as a snack, a game, or a break.

Where to find more 5th Grade math problems worksheets

If you are looking for more 5 th Grade math problems worksheets , you are in luck! Many websites offer students, teachers, and parents free and paid resources. Here are some of the best ones that we recommend:

• [Math Worksheets 4 Kids]( https://www.mathworksheets4kids.com/ .) - This website has thousands of free printable math worksheets for various topics and grade levels. You can also customize the worksheets according to your preferences and needs.
• [Math-Drills]( https://www.math-drills.com/ .) - This website has over 50,000 free math worksheets covering basic skills, operations, and math concepts. You can also download the worksheets as PDF files or print them directly from the website.
• [K5 Learning]( https://www.k5learning.com/ .) - This website offers free math worksheets, online lessons, quizzes, and kindergarten to grade 5 games. You can also sign up for a free trial or a paid subscription to access more features and resources.
• [Math-Aids]( https://www.math-aids.com/ .) - This website provides free math worksheets that are dynamically generated, meaning that you can create different versions of the same worksheet with different numbers and problems. You can also choose the worksheets' difficulty level, format, and layout.
• [Education. Com]( https://www.education.com/worksheets/math/ .) - This website has an extensive collection of free and premium math worksheets for preschool to grade 5. You can also find other educational resources such as games, activities, lesson plans, and articles.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Conclusion: Practice Makes Perfect

Math problems worksheets are excellent ways to practice and improve 5 th graders' math skills and problem-solving abilities. They can help kids review what they have learned, reinforce their knowledge, and challenge what they can do.

These worksheets can also prepare students for tests and assessments and boost their confidence and interest in math.

The key is to use them regularly and effectively. Choose the worksheets that suit your student's level and goals, follow the instructions and tips, Encourage them to show their work and check their answers, keep track of their progress and results, review their work and feedback, and celebrate their achievements.

Remember: practice makes perfect ! The more your students practice, the better they will become. So grab some math problems worksheets today and start solving them with your 5 th graders! They'll be amazed by how much fun and rewarding math can be!

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Check Out These 50 Fifth Grade Math Word Problems of the Day

Three trains pulled into the station at 3 p.m.

Opening your daily math lesson with a Fifth Grade Math Word Problem of the Day is an excellent way to set the stage for learning! Incorporate them at the start of your math block to build confidence, critical thinking skills, and a learning community. Students will get used to reading for meaning while also identifying key information. Encourage students to write out equations and draw pictures to explain their thinking, since this helps them see the light when they are stuck!

Topics in these fifth grade math word problems cover patterns and place value, addition and subtraction, multiplication, division, fractions, decimals, measurement, and comparisons.

Want this entire set of word problems in one easy document? Get your free Google Sheet bundle by submitting your email here . All you need to do is post one of the problems on your whiteboard or projector screen. Then let kids take it from there.

50 Fifth Grade Math Word Problems

1. three trains pulled into the station at 3 p.m. the menton train had 2,589 passengers. the reston train had 671 passengers. the pearson city train had 1,024 passengers. how many passengers were there all together.

2. Grow Up Farmer’s Market had 4 crates of lemons delivered. One crate had 2,100 lemons. Two other crates had 2,010 lemons. The last crate had 1,999 lemons. How many lemons were delivered in all?

3. Ruffle Truffle Candy Company got an order for 850 chocolate truffles from the candy shop. They also got an order for 7,309 truffles from a food store. Then one more order came in for 3,125 truffles from a restaurant. How many truffles does the factory have to make to fill these orders?

4. The Tri-City Peninsula has 3 cities. 405,245 people live in Sunset City. 695,212 people live in Sunrise City. 415,937 people live in Sunup City. How many people live on Tri-City Peninsula all together?

5. Smiley’s Greeting Card Store ordered 25,294 birthday cards and 15,280 Mother’s Day cards to sell last year. They sold 11,065 Mother’s Day cards and 24,229 birthday cards. How many birthday cards did they have left?

6. Flyaway Airlines has 3 flights to New Park City every day from San Sandoz. Each plane seats 400 passengers. On Monday, the first flight had 325 passengers. The second flight had 387 passengers. The third flight had 221 passengers. How many empty seats were there all together?

7. In 1999 a million people lived in Western Deskateria. 350,268 are native to that country. The rest have moved there from another country. How many people have moved there from somewhere else?

8. Birthday candles from The Happy Hippy Candle Company are sold in packs of 8. They manufactured 6,000 boxes this past week and sold 8,000 candles. How many boxes of candles did they sell this past week?

9. Some of the new books in the South City Library were non-fiction. There were 25,025 new hardback books and 7,333 new paperbacks. 15,000 hardbacks were fiction. How many hardback books were non-fiction?

10. Giganto Mall has 6 levels. The top 5 levels each have 2,950 workers. There are 15,000 workers at the mall. How many workers work on the bottom level?

11. There are 96 frozen turkeys and 65 hams in the meat freezer at Frosty Food Mart. Each turkey weighs 19 pounds. Each ham weighs 10 pounds. How much do the turkeys weigh all together?

12. Each new dictionary purchased for the school has 355 pages. There are 35 dictionaries ready for each classroom. They weigh almost 300 pounds. How many pages is that in total?

13. Each Penguin Fruit Tree has 10,251 leaves. There were 96 fruit trees in Uncle Arch’s Orchard. Half of them were Penguin Fruit Trees. How many leaves were there on those Penguin Fruit Trees all together?

14. Benny’s Bait Shop sells worms in 12 packs. There are twelve packs in a gross. They sold 12 gross of worms this week. How many worms did they sell this week?

15. The Kwik Kar Rental Company has 27 locations in 12 states. They have 1,350 cars to rent out. If they distribute all the cars evenly among their locations, how many cars will each location get?

16. It was a sellout crowd at the football game. There were 42,500 fans in attendance. Every seat was filled. There are 85 rows of seats that wrap around the stadium. There is the same number of seats in every row. How many fans were seated in each row?

17. Mr. Sketch had 180 colored pencils in his classroom art bin. He bought new boxes of colored pencils that had 10 in a box. Now he has 400 colored pencils. How many new boxes did he buy?

18. 4,500 people arrived at the stadium for the rock concert on buses. another 4,500 came by train. the rest came in cars. each bus could hold 225 people and every bus was filled. how many buses were there.

19. Super Duper Corporation pays rent on their big headquarters building every month. Last year they paid $60,756 in rent and about the same amount on heat. They pay the same amount every month for the rent. How much is the rent per month?

20. Straight Arrow Dress Shirts sold a lot of dress shirts last month. Each shirt has 7 buttons down the front and 1 button on each sleeve. They used 72,000 buttons on the shirts sold last month. How many shirts did they sell?

21. Lake Louie has boats that take tourists on cruises around the lake. On Saturday, 8,112 tourists wanted to cruise around the lake. 3 boats cruise at a time in a shift. Each boat holds 500 people. A cruise lasts 30 minutes. How many shifts did they need to run so every tourist could cruise?

22. Superstar Sam is a professional baseball player and practices pitching every day. He spent 12,000 minutes practicing his pitching in July. He practices batting for 1 hour each week. How many hours did he practice his pitching in July?

23. The new sidewalk leading up to the front door of Elemental Elementary School was 55 feet long and 36 inches wide. 25 feet of it were painted gold and the rest was silver. How many inches long was the silver section?

24. The Dig-It Mining Company dug up 12,000 pounds of a rare mineral, Bobodium, every day for a week. They sell it in 8-ounce boxes. How many boxes will they need to pack up that week’s Bobodium?

25. Rita Writealot, the famous author, is visiting Collegial College and giving everyone who attends one of her two lectures 2 of her books. 600 people came to her first lecture. The second lecture had a good turnout also. She gave out 2,468 books all together. How many people came to her second lecture?

26. Mr. Amazing is preparing his magic act. There are 12,366 gold coins that he uses in one of his acts. He uses some in each scheduled appearance. He put aside 229 gold coins for each appearance. How many appearances is he planning on?

27. Rick has 4/5 of a Choco-bar. Sid has 6/7 of a Choco-bar. Nick has 6/8 of a Choco-bar. Who has the biggest piece of a Choco-bar?

28. ginny has 6/4 of some watermelons. william has 3/9 of another watermelon. steve has ½ of a different watermelon. who has the smallest amount of watermelon.

29. Luz is going to make a cheese dip. She bought ½ pound of American cheese. She also bought ¾ pound of Swiss cheese and ¼ pound of cheddar cheese. How much cheese did she buy?

30. Mercy had to select how much of a pepperoni pizza she wanted. She could have 7/8, 8/16, or 8/10. If she wants the most pizza, which amount should she choose?

31. Explorer Elmo Adventure found an ancient site with gold bars. He found three. The first was 5/12 of a pound. The second bar was 7/12 of a pound, and the third was 3/6 of a pound. How much did the bars weigh all together?

32. Sandy had 3/4 of a loaf of fresh-baked bread her mom made. She gave half of it to her cousin Stella. How much of the loaf did Sandy have left?

33. The fifth grade teacher, Ms. Marvelous, had 9/10 of an apple pie. She gave 3/10 to her principal, Mr. Pal, and 3/10 to her co-teacher, Mrs. Merry. How much pie did Ms. Marvelous have left?

34. Grace was laying pieces of ribbon she had end-to-end. The blue piece was 3/12 of a foot. The red piece was ½ of a foot and the white piece was 8/12 of a foot long. How long was the total?

35. Rob was reading a book that had 400 pages. He read 1/3 of it on Monday and another ¼ of it on Tuesday. What fraction of the book does he have left to read?

36. Ty had ½ of his whole birthday cake left. He gave his sister, Janelle, ¼ of that. How much of the whole cake did Janelle get?

37. The high school football team was meeting for the first time for practice. There were 64 players. ¾ of them were seniors. The rest were underclassmen. How many players were underclassmen?

38. The treasure hunters dug up a shoebox with $1,500 in it. There were five people on the treasure hunter team, so each got to keep 1/5 of the money. How much money did each person get to keep?

39. Tristan only has 1/8 of his deck left to paint. The whole deck has a total area of 100 square feet. He figured he could get ½ of what’s left done on Friday and the rest on Saturday. What fraction of the total deck does he plan to paint on Saturday?

40. three friends were keeping track of their running. these are the results from their runs on saturday. paige ran 0.75 miles. tanner ran 0.09 miles. liza ran 0.706 miles. who ran the farthest.

41. Gary’s professional kickball cards are divided among 3 teams. ¼ of his cards are San Fransisco Seals players. 0.25 are New York Yaks players. The rest play for the Nova Scotia Salmon. What decimal would best describe how much of his collection is Salmon players?

42. Molly the miner was weighing small amounts of gold dust. She had 3 packets of gold dust. They weighed 0.29 ounces, 1.07 ounces, and 0.92 ounces. She has to get 3 ounces of gold dust before she sells it. How much more gold dust does she need to make the sale?

43. Heather has 4 bank accounts. The first has $25.09 in it. The second has $106.75 in it and the third and fourth each have $108.08 in them. What is the total amount of money Heather has in these accounts?

44. each member of kirk’s family got a payment of $1,070.09 from their family business. there are 12 people in kirk’s family, including him. they range in age from 12 to 99. how much did the family get paid in total.

45. The number of t-shirts Ollie sells at the flea market runs in a predictable pattern. He sold 120 shirts in January, 60 shirts in February, 240 shirts in March, 120 shirts in April, 480 shirts in May, and 240 shirts in June. If the pattern of sales continues, how many shirts will he sell in August?

46. A number code is used to unlock the special vault. Three numbers must be entered in the correct order on a keypad numbered 0-100. The first is an odd number less than 20 that has 2 digits, both the same. The second number is even and is ½ of the number that is ¼ of 16. The third number is the product of the first two numbers and then doubled. What is the code?

47. Kim noticed this pattern on an old piece of parchment. 2, 5, 11, 23, 47, 95. Kim figured out the next two numbers. What are they?

48. Al is 5 years older than Ted. Ted is 2 years older than Alice. Alice is a year younger than Fran. Fran is 8 years old. How old is Al?

49. Liam finally got to the ferry dock at 4 p.m. He had taken the train to the ferry from Chairtown station. That train took half an hour to get to the ferry. To get to the station, he had driven for 4 and a half hours from Deskville Airport. He flew to Deskville from Tabletown Airport that morning. The flight was 2 and a half hours. What time did he fly out of Tabletown Airport?

50. Chris worked three jobs on Saturday. She mowed a lawn and finished it at 6 p.m. She washed windows for 3 hours. Also, she washed, waxed, and vacuumed 3 cars. Each car took an hour and a half to do. Chris started her day working at 9 a.m. How many minutes did it take her to mow the lawn?

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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!

• FIFTH GRADE

Math Problems for 5th graders

Math Problems for 5th Graders

What math should a 5th grader know, linear functions, multiplication, order of operations, units of measurement, how do turtle diary’s math problems help 5th graders master these skills, lessons & practice, quizzes for mastery.

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4 Operations word problems

Word problem worksheets: add / subtract / multiply / divide.

These grade 5 math word problems involve the 4 basic operations : addition, subtraction, multiplication and division. Some questions will have more than one step. The last question on each worksheet asks students to write an equation with a variable representing the unknown quantity.

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Maths Problems with Answers for Grade 5

Grade 5 maths problems with answers are presented. Also Solutions and explanations are included.

• Three toy cars and 4 toy trains cost $18. Two toy cars and 3 toy trains cost $13. What is the price of one toy car and the price of one toy train if both prices are whole numbers of Dollars? (Hint: Use a table) Solution
• 450 chocolate bars
• 4 hours and 30 minutes
• 11,800 TV sets
• Tom: 22 , Bob: 27
• same time , 12 minutes
• Jim: 5 years , Carla: 10 years , Tomy: 16 years
• 10,080 minutes
• 700 meters squared
• 114 centimeters squared
• one toy car costs $2 and 1 toy train costs $3.

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Primary Maths (grades 4 and 5) with Free Questions and Problems With Answers Middle School Maths (grades 6,7,8 and 9) with Free Questions and Problems With Answers High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers

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Multiplication Problems Printable 5th Grade

Welcome to the Math Salamanders Multiplication Problems Printable for 5th Grade. Here you will find our range of printable multiplication problems which will help your child apply and practice their multiplication and times tables skills to solve a range of 'real life' problems at a 5th grade level.

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Multiplication Problems Printable

5th grade multiplication problems.

Here you will find a range of problem solving worksheets involving multiplication.

Each sheet involves solving a range of written multiplication problems.

There are 3 levels of difficulty for each worksheet below: A,B and C.

Worksheet A is the easiest level, suitable for children at the beginning of their grade.

Worksheet B is a medium level worksheets for children who are working at the expected level in their grade.

Worksheet C is set at a harder level, suitable for children who are more able mathematicians.

The problems in each worksheet are similar in wording, but the numbers involved become trickier as the level gets harder.

To encourage careful checking and thinking skills, each sheet includes one 'trick' question which is not a multiplication problem. Children need to spot this word problem, and work out which operation they need to solve it.

Using these sheets will help your child to:

• apply their multiplication and times tables skills at a 5th grade level;
• apply their times table knowledge to work out related facts;
• recognise multiplication problems, and try to spot 'trick' problems;
• calculation multiplication facts involving decimals;
• solve a range of 'real life' problems.

Some of the sheets have a UK version with spelling and currency symbols set for the UK.

5th Grade Multiplication Problems Printable Sheets

Series 5 sheet 1 set.

• Series 5 Sheet 1A (easier)
• Series 5 Sheet 1B (medium)
• Series 5 Sheet 1C (hard)

• PDF Series 5.1 (6 sheets)

Series 5 Sheet 2 Set

• Series 5 Sheet 2A
• UK Version Sheet 2A
• Series 5 Sheet 2B (medium)
• UK Version Sheet 2B
• Series 5 Sheet 2C (hard)
• UK Version Sheet 2C
• PDF Series 5.2 (6 sheets)
• PDF Series 5.2 UK version (6 sheets)

Series 5 Sheet 3 Set

• Series 5 Sheet 3A (easier)
• UK Version Sheet 3A
• Series 5 Sheet 3B (medium)
• UK Version Sheet 3B
• Series 5 Sheet 3C (hard)
• UK Version Sheet 3C
• PDF Series 5.3 (6 sheets)
• PDF Series 5.3 UK version (6 sheets)

Looking for some easier Multiplication Problems?

In our 4th Grade Multiplication word problem area, you will find a range of multiplication problems printable aimed at 4th graders.

The following areas are covered:

• multiplication fact sheets;
• multiplying by tens and hundreds;
• 2/3 digits x 1 digit
• Multiplication Word Problems 4th Grade

More Recommended Math Worksheets

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

More 5th Grade Math Problems

Here you will find more of our 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.

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

• 5th Grade Math Problems

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

• 5th Grade Math Word Problems

These sheets involve solving a range of ratio problems.

Finding all Possibilities Problems

This is our finding all possibilities area where all the worksheets involve finding many different answers to the problem posed.

The sheets here encourage systematic working and logical thinking.

The problems are different in that, there is typically only one problem per sheet, but the problem may take quite a while to solve!

• Finding all Possibilities problems
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This is our logic problems area where all the worksheets involve using reasoning and logical thinking skills.

The sheets here are designed to get children thinking logically and puzzling the problems out.

There are a range of different logic problems from 1st through 5th grade!

• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games.

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• learn their multiplication facts;
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All the multiplication sheets in this section follow the Elementary Math Benchmarks.

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Please ensure that your password is at least 8 characters and contains each of the following:

• a special character: @$#!%*?&