# 50 Engaging Math Word Problems for 5th Graders

- Author: Noreen Niazi
- Last Updated on: February 24, 2024

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Toggle## Math World Problems for 5th graders

**Come with us to the math world with words where the fifth graders learn the lessons!****remember that trains can be very fast, pizzas have to be shared and jellybeans have to be found**. Once you solve each and every problem, you will not only enhance your mathematical wisdom but also harness the significance and splendor of math in daily life. Do you think you are up to the task and want to be a

**math hero problem-solver**? So, take out your pencil and let’s get to work!

## Operations with Whole Numbers:

Whole number calculations are usually composed of addition, subtraction, multiplication and division. These operations are the most fundamental arithmetic units that are needed to solve many mathematical problems.

Find the multiple of 46 by 17.

Answer: 782

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### 1

### John has 348 marbles, and he gives away 126. How many marbles does he have left?

To find the remaining marbles, subtract 126 from 348: 348 – 126 = 222 marbles left.

### 2

### Sarah wants to buy 5 packs of pencils, each containing 24 pencils. How many pencils will she have in total?

Multiply the number of packs by the number of pencils in each pack: 5 packs × 24 pencils/pack = 120 pencils.

### 3

### Jane has 485 stickers. She wants to distribute them equally among 5 friends. How many stickers will each friend receive?

To find out how many stickers each friend gets, divide the total number of stickers by the number of friends: 485 ÷ 5 = 97 stickers each.

### 4

### If a book has 256 pages and Tom reads 32 pages every day, how many days will it take him to finish the book?

To find the number of days it takes Tom to finish the book, divide the total number of pages by the number of pages he reads per day: 256 ÷ 32 = 8 days.

### 5

### In a school, there are 864 students. If they are divided into 9 equal groups for a field trip, how many students will be in each group?

To find out how many students will be in each group, divide the total number of students by the number of groups: 864 ÷ 9 = 96 students in each group.

### 6

### A bakery sold 215 loaves of bread in a week. If each loaf costs $3, what is the total revenue from bread sales?

To find the total revenue, multiply the number of loaves sold by the price per loaf: 215 × $3 = $645.

## Place Value with Large Numbers.

It is vital to master place-value concept if numbers with large numbers has to be used. It means recognizing the values of each digit in a specific position within the number, e.g., thousands, hundreds, tens and ones.

Write the number 8,924 with expanded form.

Answer: 8,000+900+20+4.

### 7

### Write the number 6,543,210 in expanded form.

Solution: 6,543,210 = 6 × 1,000,000 + 5 × 100,000 + 4 × 10,000 + 3 × 1,000 + 2 × 100 + 1 × 10 + 0 × 1.

### 8

### Round 8,376 to the nearest thousand.

Since the digit in the hundreds place is 3, round down to 8,000.

### 9

### Write the number 10,457,236 in word form.

Ten million four hundred fifty-seven thousand two hundred thirty-six.

### 10

### Round 6,892 to the nearest hundred.

Since the digit in the tens place is 9, round up to 6,900

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### 11

### Write the number 3,025,401 in word form.

Three million twenty-five thousand four hundred one.

### 12

### Which digit is in the ten thousands place in the number 49,872?

The digit 9 is in the ten thousands place.

## Problem Solving & Simple Equations

Problem solving skills are a core of mathematics. Students develop the skill of examining and finding the best solutions to different types of problems, using various methods, including identifying the functions, making diagrams, and applying equations.

If the product of a number by 4 is 36, what is the number?

Answer: 9

### 13

### If 3 times a number is 27, what is the number?

Let the number be x. Then, 3x = 27. Solving for x, we find x = 9.

### 14

### If 4 times a number is 32, what is the number?

Let the number be x. Then, 4x = 32. Solving for x, we find x = 8.

### 15

### If 7 times a number is 63, what is the number?

Let the number be x. Then, 7x = 63. Solving for x, we find x = 9.

### 16

### If a book has 256 pages and Tom reads 32 pages every day, how many days will it take him to finish the book?

To find the number of days it takes Tom to finish the book, divide the total number of pages by the number of pages he reads per day: 256 ÷ 32 = 8 days.

### 17

### A farmer has 96 eggs. She packs them into cartons with 8 eggs each. How many cartons does she need?

To find the number of cartons needed, divide the total number of eggs by the number of eggs per carton: 96 ÷ 8 = 12 cartons.

## Decimal Arithmetic

When working with decimal numbers, decimal arithmetic is performed in such operations as addition, subtraction, multiplication and division. This is critical for comprehension of measurements, money and applying the learning to the aspects of real-life.

Subtract 6.78 from 15.4.

Answer: 8.62

### 18

### Add 3.25 and 6.8.

3.25 + 6.8 = 10.05.

### 19

### Multiply 4.7 by 2.5

4.7 × 2.5 = 11.75.

### 20

### Subtract 0.47 from 1.

1 – 0.47 = 0.53.

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### 21

### Divide 3.6 by 0.6.

3.6 ÷ 0.6 = 6.

### 22

### Subtract 4.29 from 15.

15 – 4.29 = 10.71.

### 23

### Divide 12.6 by 3.

12.6 ÷ 3 = 4.2.

### 24

### If a recipe calls for 2 cups of flour to make 12 cookies, how many cups of flour are needed to make 24 cookies?

Proportion: 2 cups / 12 cookies = x cups / 24 cookies x = (2 × 24) / 12 = 4 cups

## Graphing

Graphing involves plotting both data and relationships on the coordinate plane in the form of visual graphs. It is needed in order that students understand such concepts as coordinates, points, lines and shapes; it is also essential due to interpretation of graphs and charts.

Please put a point (2,-3) on the coordinate plane.

Answer: (2, -3)

### 25

### Plot the point (3, 5) on the coordinate plane.

Start at the origin (0,0), move 3 units to the right, and then 5 units up. Mark the point as (3, 5).

### 26

### Draw the graph of the equation y = 2x + 3.

Plot points using x-values and find corresponding y-values using the equation. Connect the points to form a line.

### 27

### Plot the points (-1, 3), (2, 0), and (5, 6) on the coordinate plane.

Plot the points accordingly on the plane.

### 28

### Draw a line passing through the points (-1, 3) and (2, 0).

Connect the points (-1, 3) and (2, 0) to form a line.

### 29

### Plot the points (-3, -2), (0, 0), and (4, 3) on the coordinate plane.

Plot the points accordingly on the plane.

### 30

### Draw a line passing through the points (-2, 4) and (3, -1).

Connect the points (-2, 4) and (3, -1) to form a line.

## Fraction Arithmetic

Fractions are critical as they show parts of a whole and are also used in percentages, ratios, and in different aspects of life like cooking and measurement. The mathematical operations such as adding, subtracting, multiplication, and division of fractions are known as arithmetic operations with fractions.

Add 3/5 and 1/3.

Answer: 14/15

### 31

### Add 1/3 and 2/5.

(1/3) + (2/5) = (5/15) + (6/15) = 11/15.

### 32

### Subtract 3/4 from 1.

1 – 3/4 = 4/4 – 3/4 = 1/4.

### 33

### Multiply 2/3 by 4/5.

(2/3) × (4/5) = 8/15.

### 34

### Subtract 1/2 from 3/4.

3/4 – 1/2 = 3/4 – 2/4 = 1/4.

### 35

### Add 2/3 and 5/6.

(2/3) + (5/6) = (4/6) + (5/6) = 9/6 = 3/2.

### 36

### Subtract 5/8 from 7/8.

7/8 – 5/8 = 2/8 = 1/4.

## Geometry Math Word Problems for 5th Graders

Introduction: Geometry is about study of shapes, sizes, and their relative positions. It covers concepts that include angles, lines, polygons, circles, and three dimensions, and its crucial for understanding how objects in the actual world behave.

Compute the perimeter of a rectangle with dimensions, length 12 cm and width 8 cm.

Answer: 40 cm

### 37

### Find the area of a rectangle with length 6 cm and width 4 cm.

It’s an equilateral triangle.

### 38

### Find the perimeter of a square with a side length of 8 inches.

Perimeter = 4 × side length = 4 × 8 = 32 inches.

### 39

### Find the area of a circle with a radius of 5 cm. (Use π ≈ 3.14)

Area = π × radius² = 3.14 × 5² = 3.14 × 25 = 78.5 square cm.

### 40

### Identify a triangle with one angle measuring 90 degrees.

A right triangle has one angle measuring 90 degrees.

Fraction Word Problems: Grade 5 worksheet Fraction Word Problems An important milestone in a child’s mathematics development is

## Challenging Math Word Problems for 5th Graders

The bookshelf holds 35 books. If a shelf can contain 5 books each, how many shelves are needed?

### 41

### The sum of three consecutive odd numbers is 135. What are the three numbers?

Let the first odd number be x. Then, the next two consecutive odd numbers are x + 2 and x + 4. Their sum is x + (x + 2) + (x + 4) = 3x + 6 = 135. Solving for x, we find x = 43. So, the numbers are 43, 45, and 47.

### 42

### Write the numeral for four hundred thirty-two million, nine hundred eighty-seven thousand, six hundred fifty-two.

The numeral is 432,987,652.

### 43

### If 20% of a number is 30, what is 50% of that number?

Let the number be x. Then, 20% of x is 30, so 0.20x = 30. Solving for x, we find x = 150. Thus, 50% of 150 is (0.50) * 150 = 75.

### 44

### Find the value of 3.75 ÷ 0.125.

Divide 3.75 by 0.125 to get 30.

### 45

### Given the equation y = -2x + 5, find the x-intercept and y-intercept.

To find the x-intercept, let y = 0: 0 = -2x + 5. Solving for x, we get x = 2.5. To find the y-intercept, let x = 0: y = -2(0) + 5 = 5. Therefore, the x-intercept is (2.5, 0) and the y-intercept is (0, 5).

### 46

### What is the difference between 3/4 and 5/6?

The total surface area of a cylinder is given by 2πrh + 2πr². Substituting the given values, we get 2π(5)(10) + 2π(5)² = 100π + 50π = 150π square meters.

### 47

### If the original price of a shirt is $40 and it is discounted by 25%, what is the sale price?

: 25% of $40 is $10. So, the sale price is $40 – $10 = $30.

### 48

### A bag contains 4 red balls, 3 blue balls, and 5 green balls. If a ball is randomly chosen from the bag, what is the probability of selecting a blue ball?

There are a total of 4 + 3 + 5 = 12 balls in the bag. The probability of selecting a blue ball is 3/12 = 1/4.

### 49

### Calculate the measure of angle A in a right triangle where side a = 5 units and side b = 12 units.

tan(A) = opposite / adjacent tan(A) = 5 / 12 A = tan^(-1)(5/12) ≈ 22.62°

### 50

### Sarah leaves her house at 8:45 AM and arrives at her friend's house, which is 15 miles away, at 9:15 AM. What was her average speed in miles per hour (mph)?

Sarah traveled 15 miles in 30 minutes (from 8:45 AM to 9:15 AM). Convert 30 minutes to hours: 30 minutes ÷ 60 minutes/hour = 0.5 hours. So, her average speed is 15 miles ÷ 0.5 hours = 30 miles per hour.

## Viral Math Word Problems for 5th Graders

**Viral Math Problem 1: The Two Trains Problem**

Problem: **Two trains, Train A and Train B, are traveling towards each other on parallel tracks. Train A is traveling at 60 miles per hour (mph), and Train B is traveling at 40 mph. Train A starts from City X, which is 300 miles away from City Y, where Train B starts. How long will it take for the two trains to meet?**

Solution: Let t be the time it takes for the trains to meet. The distance traveled by Train A in t hours = 60t The distance traveled by Train B in t hours = 40t Since they are traveling towards each other, the sum of their distances should equal the total distance between the cities. So, 60t + 40t = 300 100t = 300 t = 3 hours

Therefore, it will take 3 hours for the two trains to meet.

**Viral Math Problem 2: The Pizza Problem**

Problem: **A pizza is divided into 8 equal slices. If Sam eats 3 slices and Tom eats 2 slices, what fraction of the pizza is left?**

Solution: Total slices eaten = 3 slices (by Sam) + 2 slices (by Tom) = 5 slices Remaining slices = Total slices – Slices eaten = 8 slices – 5 slices = 3 slices Fraction of pizza left = Remaining slices / Total slices = 3 slices / 8 slices = 3/8

So, 3/8 of the pizza is left.

**Viral Math Problem 3: The Jellybeans Problem**

Problem: **In a jar of jellybeans, 3/4 of the jellybeans are red and the rest are green. If there are 60 green jellybeans, how many jellybeans are there in total?**

Solution: Let the total number of jellybeans be represented by x. Since 3/4 of the jellybeans are red, 1/4 of them are green. So, the number of green jellybeans is 1/4 of x, which equals 60. 1/4 * x = 60 To find x, we can multiply both sides by 4: x = 60 * 4 x = 240

Therefore, there are 240 jellybeans in total.

**Viral Math Problem 4: The Fruit Basket Problem**

Problem: I**n a fruit basket, there are 3 apples, 5 oranges, and 4 bananas. If Mary randomly selects a fruit from the basket, what is the probability that she selects an orange?**

Solution: Total number of fruits in the basket = 3 (apples) + 5 (oranges) + 4 (bananas) = 12 fruits Number of oranges = 5 Probability of selecting an orange = Number of oranges / Total number of fruits = 5 / 12

So, the probability that Mary selects an orange is 5/12.

## Practice Question on Math Word Problems for 5th Graders

**Operations with Whole Numbers:**Calculate the product of 46 and 17.**Place Value with Large Numbers:**Write the number 8,924 in expanded form.**Problem Solving & Simple Equations:**If 4 times a number is 36, what is the number?**Decimal Arithmetic:**Subtract 6.78 from 15.4.**Graphing:**Plot the point (2, -3) on the coordinate plane.**Fraction Arithmetic:**Add 3/5 and 1/3.**Geometry:**Find the perimeter of a rectangle with length 12 cm and width 8 cm.**Operations with Whole Numbers:**If there are 384 students in a school and they are divided into 8 equal groups, how many students are in each group?**Place Value with Large Numbers:**Round 9,736 to the nearest thousand.**Problem Solving & Simple Equations:**A bookshelf has 35 books. If each shelf can hold 5 books, how many shelves are needed?

Explore Grade 1 Math Curriculum: A Comprehensive Guide Grade 1 starts off as a child’s introduction to the

## FAQs

Break the problem into smaller manageable steps, teach yourself through diagrams and visual aids, try different tactics, and practice often to be successful.

Remain in touch with teachers, go through homework and test papers together, undertake household developments in the field of math and show enthusiasm towards math learning.

Yes, the number of online sites, math workbooks, educational apps, and tutoring services that provide many drills, quizzes, and tutorials is huge.

Provide additional practice activities, offer explanations in a different way, seek help from a teacher, or tutor and show willingness to persevere even if you make mistakes.

Break the problem into smaller manageable steps, teach yourself through diagrams and visual aids, try different tactics, and practice often to be successful.

## Conclusion:

The act of word problems allows students to put the use of mathematical concepts in practical life situations. This creates the opportunity to master the ability to analyze, interpret, and solve complex problems. Through multiple types of active learning experiences such as practice questions with detailed explanations of the solutions, students will develop the confidence to explore techniques that increase their understanding of this art and utilize the principles in real-life settings.

## Solution to practice questions

- 782
- 8,000 + 900 + 20 + 4
- 9
- 8.62
- (2, -3)
- 14/15
- 40 cm
- 48 students
- 10,000
- 7 shelves

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