problem solving questions 8th grade

8TH GRADE MATH PROBLEMS WITH ANSWERS

Question 1 :

What is the smallest number by which 256 may be divided so that the quotient is perfect cube? 

(A) 2               (B) 3               (C) 4

To find the number required to divide 256 such that the quotient is a perfect cube, we have to decompose 256 into prime factors.  

Question 2 :

How many digits are there in the square root of 4456321?

(A) 2 digits        (B) 4 digits      (C) 3 digits

Square root of 1 digit and 2 digit number contains 1 digit.

Square root of 3 and 4 digit number contains 2 digits.

Square root of 5 and 6 digit number contains 3 digits.

Square root of 7 and 8 digit number contains 4 digits.

So, the square root of the given number has 4 digits.

Question 3 :

Find the value of 3x 3  + 4x 2  + x - 5 when x = -3.

(A) -53                 (B) -71               (C) -32

Let f(x) = 3x 3  + 4x 2  + x - 5.

Substitute x = -3.

f(-3) =  3(-3) 3  + 4(-3) 2  + (-3) - 5

= 3(-27) + 4(9) - 3 - 5

= -81 + 36 - 3 - 5

Question 4 :

The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of the rectangle.

(A) 12 cm and 4 cm

(B) 18 cm and 8 cm

(C) 15 cm and 9 cm

Perimeter of a rectangle = 52 cm.

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length. The, w idth = x/3 + 2.

x + (x/3) + 2 = 26

[(3x + x)/3] +2 = 26

Width = 18/3 + 2

So, the required dimensions are 18 cm and 8 cm.

Question 5 :

What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4.

(A) 9                    (B) 5             (C) 12

Let x be the required number to be added to both numerator and denominator of the fraction.

(7 + x)/(11 + x)  =  3/4

4(7 + x)  =  3(11 + x)

28 + 4x  =  33 + 3x

4x - 3x  =  33 - 28

x  =  5

So, 5 is the required number to be added to make the fraction 7/11 as 3/4.

Question 6 :

A line which intersects two or more lines at a distinct points is called a ____________

(A) concurrent       (B) Intersecting     (C) Transversal

A line which intersects two or more lines at a distinct points is called a concurrent.

Question 7 :

The opposite angles of a cyclic quadrilateral are _______________

(A) Supplementary    (B) Complementary (C) None of these

The sum of opposite angles of a cyclic quadrilateral is 180 degree.

So, the answer is supplementary.

Question 8 :

In triangle ABC is inscribed in a circle with center O and BC is a diameter, if angle BAC is 50°, find angle ABC.

(A)  50°           (B)  40°           (C)  48°

In the right triangle ABC,

∠ A + ∠ B + ∠ C  =  180 °

50 ° + ∠ B + 90 °   =  180 °

140 ° + ∠ B  =  180 °

∠ B  =  40

Question 9 :

The circumference of a circle is 44 cm. Find its area (use π = 22/7) 

(A) 154 cm 2       (B) 130 cm 2       (C) 145 cm 2

Circumference of a circle =   44 cm

2 πr  =  44

2  ⋅  (22/7)  ⋅ r  =  44

r  =  7

Area of circle  =   πr 2

  =  (22/7)  ⋅  (7) 2

  =  154 cm 2

Question 10 :

The volume of a right circular cylinder is 1100 cm 3  and the radius of its base is 5 cm. Calculate its curved surface area. 

(A) 410 cm 2         (B) 125 cm 2           (C) 440 cm 2

Volume of a right circular cylinder  =  1100 cm 3

  πr 2 h =   1100 cm 3

(22/7)  ⋅ (5) 2  ⋅ h  =  1100

h  = 2/7

Curved surface area of cylinder  =  2 πrh

  =  2  ⋅ (22/7) ⋅ 5 ⋅ (2/7)

=  440 cm 2

So, the curved surface area of cylinder is  440 cm 2

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Quiz 8th-Graders With These Math Word Problems

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• Solving 8th-grade math word problems can be intimidating, but it shouldn't be. Explain to students that you can use basic algebra and simple geometric formulas to solve seemingly intractable problems. The key is to use the information you are given and then isolate the variable for algebraic problems or to know when to use formulas for geometry problems. Remind students that whenever they work on a problem, whatever they do to one side of the equation, they need to do to the other side. So, if they subtract five from one side of the equation, they need to subtract five from the other.

The free, printable worksheets below will give students a chance to work on problems and fill in their answers in the provided blank spaces. Once the students have completed the work, use the worksheets to do quick formative assessments for an entire math class.

Worksheet No. 1

 Deb Russell

Print the PDF :   Worksheet No. 1

On this PDF, your students will solve 8th-grade word math problems such as:

"5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?"

Explain to students that they'll need to consider what they do know, such as the total price of five hockey pucks and three hockey sticks ($23) as well as the total price for five hockey pucks and one stick ($20). Point out to students that they'll start with two equations, with each providing a total price and each including five hockey sticks.

Worksheet No. 1 Solutions

Print the PDF :   Worksheet No. 1 Solutions

To solve the first 8th-grade word math problem on the worksheet, set it up as follows: 

Let "P" represent the variable for "puck"

Let "S" represent the variable for "stick"

So, 5P + 3S = $23, and 5P + 1S = $20

Then, subtract one equation from the other (since you know the dollar amounts):

5P + 3S - (5P + S) = $23 - $20. 

5P + 3S - 5P - S = $3. Subtract 5P from each side of the equation, which yields: 2S = $3. Divide each side of the equation by 2, which shows you that S = $1.50

Then, substitute $1.50 for S in the first equation:

5P + 3($1.50) = $23, yielding 5P + $4.50 = $23. You then subtract $4.50 from each side of the equation, yielding: 5P = $18.50.

Divide each side of the equation by 5 to yield:

P = $3.70

Note that the answer to the first problem on the answer sheet is incorrect.  It should be $3.70 . The other answers on the solution sheet are correct.

Worksheet No. 2

Print PDF : Worksheet No. 2

To solve the first equation on the worksheet, students will need to know the equation for a rectangular prism (V = lwh, where "V" equals volume, "l" equals the length, "w" equals the width, and "h" equals the height). The problem reads as follows:

"Excavation for a pool is being done in your backyard. It measures 42F x 29F x 8F. The dirt will be taken away in a truck that holds 4.53 cubic feet How many truckloads of dirt will be taken away?"

Worksheet No. 2 Solutions

Deb Russell

Print PDF : Worksheet No. 2 Solutions

To solve the 8th-grade word math problem, first, calculate the total volume of the pool. Using the formula for the volume of a rectangular prism (V = lwh), you would have:

V = 42F x 29F x 8F = 9,744 cubic feet

Then, divide 9,744 by 4.53, or:

9,744 cubic feet ÷ 4.53 cubic feet (per tuckload) = 2,151 truckloads

You can even lighten up the atmosphere of your class by exclaiming: "You are going to have to use quite a few truckloads to build that pool."

Note that the answer on the solution sheet for this problem is incorrect. It should be 2,151 cubic feet. The rest of the answers on the solution sheet are correct.

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Example 1: The sum of two numbers is 361 and the difference between the two numbers is 173. What are the two numbers?

Example 2: There are 356 Grade 8 students at Euclid’s Middle School. Thirty-four more than four times the number of girls is equal to half the number of boys. How many boys are in Grade 8 at Euclid’s Middle School? How many girls?

Example 3: A family member has some five-dollar bills and one-dollar bills in their wallet. Altogether she has 18 bills and a total of $62. How many of each bill does she have?

Example 1: A friend bought 2 boxes of pencils and 8 notebooks for school and it cost him $11. He went back to the store the same day to buy school supplies for his younger brother. He spent $11.25 on 3 boxes of pencils and 5 notebooks. How much would notebooks cost?

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Eighth Grade (Grade 8) Problem Solving Strategies Questions

You can create printable tests and worksheets from these Grade 8 Problem Solving Strategies questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Home / United States / Math Classes / Worksheets / 8th Grade Math Worksheets

8th Grade Math Worksheets

8th Grade Math Worksheets feature helpful and enjoyable activities based in algebra, statistics, arithmetic, and geometr y. Students can complete worksheets at their own pace to help them acquire an in-depth knowledge of the diverse mathematical concepts and equations taught in the eighth grade. The Grade 8 Math Worksheets for students are designed to reinforce their math knowledge through engaging questions. These worksheets use a stepwise learning model that allows the students to understand core concepts and equations in a competent manner, and subsequently determine a strategy to rectify their mistakes and solve complex problems correctly. ...Read More Read Less

Benefits of Grade 8 Math Worksheets

Math curriculum starts to get more complex in eighth grade. A lot of parents might not be equipped with the knowledge needed to guide their children through their homework and support their learning process at this stage. Printable 8th Grade Math Worksheets can help. By adding in some extra practice, children will become well-versed in all the math concepts needed to do well on their exams. Grade 8 Math Worksheets also help parents track their child’s overall learning process. There are many benefits to using these printable worksheets. 

Most importantly, the Grade 8 Math Worksheets: 

• Instill math confidence

As students face more difficult concepts and equations in the eighth grade, their confidence might start to shake, and they can become overwhelmed. Grade 8 Math Worksheets are designed to help students learn complex topics with ease. Students can start with the basics of various equations and concepts through these worksheets, and eventually work through other computational logic to hone their knowledge. Mastering the concepts will allow students to take their math exams without anxiety. 

• Provide Comprehensive Coverage

You can find 8th Grade Math Worksheets online that include a diverse mix of math questions covering a multitude of topics. This comprehensive coverage allows students to become acquainted with different ways to approach problems. Moreover, learning math becomes engaging and exciting for them as the monotony associated with learning the subject is eased through specially designed worksheets.

• Interactive Worksheets
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8th Grade Linear Equations Worksheets

• 8th Grade Solving Linear Equations - 1
• 8th Grade Solving Linear Equations - 2

8th Grade Scientific Notation Worksheets

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• 8th Grade Operations on Numbers in Scientific Notation worksheets

8th Grade Exponents Worksheets

• 8th Grade Laws of Exponents Worksheets

Choose Math Worksheets by Grade

Choose math worksheets by topic, 8th grade math worksheets explained.

Grade 8 Math Worksheets  enable students to learn and practice various types of equations, problems, theorems and more, so that they are ready to progress to high school. These math worksheets help develop problem-solving skills in students, and can be effective in enabling them to grasp math concepts quicker and apply them in real life.

Grade 8 Math Worksheets cover concepts that students learn throughout the course of the entire 8th grade year. Students can start the year with worksheets featuring activities on comparing exponents, Venn diagrams, math operations and reasoning, surface area, irrational numbers, and scientific notation. They can move on to evaluating and writing expressions, rewriting fraction equations, and determining the slope of a line, which are important topics to prepare them for the math they’ll be learning towards the end of the year. The most advanced concepts students will learn in 8th grade, including probability as a fraction, simultaneous linear equations, monomial, binomial, and polynomial operations, graphing linear inequalities, logarithms, using Pythagorean Theorem, and midpoints and equations of straight lines can all also be found on printable Grade 8 Math Worksheets. Many students have difficulty understanding these last few concepts, making  Grade 8 Math Worksheets crucial.

Online Grade 8 Math Worksheets are effective in helping students reach a conceptual understanding of topics like number systems, expressions, and equations. They allow the students to work with radicals and exponents, gain better knowledge of statistics and probability, and master solving linear equations and inequalities. With the help of 8th Grade Math Worksheets, students will be able to clearly know and apply the Pythagorean Theorem as well.

Printable 8th Grade Math Worksheets are readily available online. Parents or the students themselves can print them at their convenience, and start solving math problems of varying difficulty levels. With consistent practice using these worksheets, students can confidently face their math exams.

How difficult is it to solve the math worksheets for 8th graders?

The  online 8th grade math worksheets have been categorized in three levels – easy, medium and hard for every 8th grader to easily chose depending their comfort with the concept without feeling overwhelmed. The students have the freedom to choose through the different levels and once they feel confident of their math skills, can always upgrade themselves with the difficulty level.

What are the math topics covered in the grade 8 math worksheets?

The eighth grade interactive worksheets consist of topics such as simple and multi-step equations, understanding transformations and congruent figures, angles of triangles and polygons, parallel lines and transversals, graphing linear equations in various forms, systems of linear equations, understanding data displays, representations of functions, exponents and scientific notation, finding square roots, problems around Pythagoras theorem, surface area and volume of cylinders, cones and spheres.

Are the grade 8 math worksheets helpful?

The eighth grade math worksheets are ideal for 8th graders as these worksheets give students a better scope to improve their math concepts while solving engaging problem sums. These printable grade 8 math worksheets have been designed with utmost precision to prepare students for their high school years, solidifying their understanding of the math concepts.

Are the 8th grade math worksheets timed?

Yes, the eighth grade interactive math worksheets have been timed. This will encourage children to participate more in such time-bound activities and acquire a solid understanding of math by self regulating their attempts.

In what all formats are the 8th grade math worksheets available?

The 8th grade interactive worksheets are available for the students in two different formats. The pdf based printable worksheets can be completed offline once downloaded while the other formats are tech based interactive worksheets which are solved in online mode.

Can I solve the grade 8 math worksheets more than once?

Yes, you can. Students can practice different math concepts using the BYJU’s free online math worksheets by attempting them more than once. In fact, after every new submission, a new set of questions appear for the students to practice and consolidate their knowledge.

Free Printable Algebra Worksheets for 8th Grade

Algebra-focused resources for Grade 8 math teachers! Discover a variety of free printable worksheets to help students master essential algebra concepts and skills. Enhance your lessons with Quizizz.

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Explore printable Algebra worksheets for 8th Grade

Algebra worksheets for Grade 8 are an essential resource for teachers looking to help their students master the fundamental concepts of algebra. These worksheets provide a variety of problems and exercises that cover topics such as linear equations, quadratic equations, and systems of equations. Teachers can use these worksheets to supplement their lesson plans, provide extra practice for struggling students, or as a review before exams. With a wide range of difficulty levels, Grade 8 math teachers can easily find algebra worksheets that cater to the specific needs of their students. By incorporating these worksheets into their curriculum, teachers can ensure that their students develop a strong foundation in algebra, setting them up for success in higher-level math courses.

Quizizz is an excellent platform for teachers to access a vast library of algebra worksheets for Grade 8, as well as other math resources. This platform offers a variety of interactive quizzes, games, and activities that can be used to reinforce and assess students' understanding of algebra concepts. Teachers can easily search for and assign specific worksheets or quizzes based on the topics they are covering in class, making it simple to integrate Quizizz into their existing lesson plans. In addition to algebra worksheets, Quizizz also offers resources for other Grade 8 math topics such as geometry, statistics, and probability. By utilizing Quizizz in their classrooms, teachers can provide their students with engaging and effective learning experiences that will help them excel in their Grade 8 math courses.

Grade 8 Math Problems with Solutions

Grade 8 Maths questions and problems for deep understanding of Maths concepts and skills are presented. Solutions and answers are provided.

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• Algebra Questions with Answers and Solutions for Grade 8
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• Video on Solving Linear Inequalities
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• Distance and Midpoint Calculator
• Introduction to Polynomials
• Divisibility Rules Examples and Questions .
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• Applications of Linear Equations - Problems with Answers for Grade 8 with solutions and explanations included
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• Simplify Square Root Calculator
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• Geometry Problems
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• Convert Units of Measurements
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Online Calculators to Practice and Understand Concepts

• Divisibility Test Calculator. An online calculator that tests whole numbers for visibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.
• Lowest Common Multiple (lcm) Calculator. Calculate the lowest common multiple of two positive integers.
• Greatest Common Factor (gcf) Calculator. Calculate the greatest common factor of two positive integers. Linear Equations Solver Calculator
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• Prime Factors Calculator. Factor a positive integer into prime factors.
• Fractions Addition Calculator. Add 2 or 3 fractions and reduce the final answer.
• fraction calculator that helps you further develop the skills of how to reduce, add and multiply fractions.
• Multiply Fractions Calculator. Multiply 2 fractions and reduce the answer.
• Divide Fractions Calculator. Divide 2 fractions and reduce the answer.
• Reduce Fractions Calculator. Rewrite Fractions in reduced form.

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15 Pythagorean Theorem Practice Problems For 8th Grade

Beki Christian

Pythagorean Theorem practice problems involve using the relationship between the sides of a right triangle to calculate missing side lengths in triangles. The Pythagorean Theorem is introduced in 8th grade and is used to solve a variety of problems across high school.

Here, you’ll find a selection of Pythagorean Theorem questions that demonstrate the different types of questions students are likely to encounter in 8th grade.

What is the Pythagorean Theorem?

The Pythagorean Theorem is the geometric theorem that states that the square of the hypotenuse (longest side) of a right triangle is equal to the sum of the squares of the two shorter sides of the triangle.

This can be written as a^2+b^2=c^2 for a triangle labeled like this:

15 Pythagoras Theorem Practice Problems

Find all of the Pythagoras Theorem questions included in this blog in this easy to download resource. Suitable for 8th grade students. Includes answer key.

How to answer Pythagorean Theorem questions

1 – Label the sides of the triangle a , b , and c . Note that the hypotenuse, the longest side of a right triangle, is opposite the right angle and will always be labeled .

2 – Write down the formula and substitute the values>

3 – Calculate the answer. You may be asked to give your answer in an exact form or round to a given degree of accuracy, such as a certain number of decimal places or significant figures.

Pythagorean Theorem in real life

Pythagorean Theorem has many real-life uses, including in architecture and construction, navigation and surveying.

Pythagorean Theorem in 8th grade

Pythagorean Theorem is usually introduced in middle school, as it is a part of the 8th grade Common Core Math Standards.

The emphasis in middle school is on students being able to:

• Explain the Pythagorean Theorem;
• Use the theorem to solve mathematical and real-world problems – with both 2D and 3D figures;
• Use the theorem to calculate the distance between two points on a coordinate grid.

The process for solving any Pythagoras Theorem problem always begins by identifying the relevant right-angled triangle and labeling the sides a , b , c. If there is not a diagram in the question, it can be helpful to draw one.

Where necessary, round your answers to 3 significant figures.

Pythagorean Theorem practice problems

1. A ship sails 6 \, km East and then 8 \, km North. Find the ship’s distance from its starting point.

The ship is 10 kilometers from its starting point.

2. A ladder is 5 \, m long. The base of the ladder is 3 \, m from the base of a vertical wall. How far up the wall does the ladder reach?

The ladder reaches 4 meters up the wall.

3. Alex and Sam start from the same point. Alex walks 400 meters west. Sam walks x meters south, until they are 600 \, m apart from each other. How far does Sam walk?

4. A television’s size is the measurement from the upper left hand corner of the television to the bottom right hand corner. Find the size of this television.

39.7 inches

55.1 inches

5. The pole of a sailing boat is supported by a rope from the top of the pole to an anchor point on the deck. The pole is 4 \, m long and the rope is 4.5 \, m long. Calculate the distance from the base of the pole to the anchor point of the rope on the deck.

6. Work out the length of the diagonal of a square with 8 \, cm sides.

The diagonal of the square has a length of 11.3 centimeters.

7. ABC is an isosceles triangle.

Work out the height of the triangle.

8. ABCD is an isosceles trapezoid.

Work out the length of AD.

9. Here is a cm square grid. Calculate the distance between the points A and B.

10. Which is a right angled triangle?

Not a right angled triangle because Pythagorean Theorem doesn’t work.

Right angled triangle because Pythagorean Theorem works.

11. PQRS is made from two right angled triangles.

Work out the length of QR.

Triangle \text{PQS:}

Triangle \text{QRS}

12. Here is a pattern made from right angled triangles. Work out the length x.

Triangle \text{ABC:}

Triangle \text{ACD:}

13. Here is a pyramid.

Work out the height of the pyramid.

14. Here is a cuboid.

Work out the length AG.

Give your answer in its exact form.

Length of \text{BG:}

Length of \text{AG:}

15. Here is a right angled triangle.

Form an equation and use it to work out the value of x.

x=4 \, or \, x=12

x cannot be 4 as you can’t have a negative side length so x=12

Pythagorean Theorem in middle school

In middle school, students…

• prove the Pythagorean Theorem;
• use the Pythagorean Theorem with trigonometric ratios to solve problems;
• use the Pythagorean Theorem in proofs.

Pythagoras Theorem may feature in questions alongside other topics, such as trigonometry, circle theorems or algebra.

The Pythagorean Theorem is used to calculate a missing length in a right triangle . If you have a right angled triangle and you know two of the lengths, label the sides of the triangle a,b and c (c must be the hypotenuse – the longest side). Pythagorean Theorem is a^2+b^2=c^2. Substitute the values you know into Pythagorean Theorem and solve to find the missing side.

The hypotenuse of a right triangle is the longest side. If you know the lengths of the other two sides, you can find the length of the hypotenuse by squaring the two shorter sides, adding those values together and then taking the square root. By doing this you are finding c in a^2+b^2=c^2

If your triangle is a right triangle and you know two of the sides, you can use Pythagorean Theorem to find the length of the third side. To do this, label the sides a , b and c (with c being the hypotenuse – the longest side). Substitute the values you know into a^2+b^2=c^2 and solve to find the missing side.

Looking for more Pythagorean theorem math questions?

• Ratio questions
• Algebra questions
• Probability questions
• Trigonometry questions
• Venn diagram questions
• Long division questions

RELATED RESOURCE :

• 6th Grade Math Problems
• 7th Grade Math Problems
• 8th grade math problems

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 former UK Secondary teacher Beki Christian and has since been revised and adapted for US schools by elementary and middle school teacher Kathleen Epperson.

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Math Games for 6th Graders [FREE]

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120 Math Word Problems To Challenge Students Grades 1 to 8

Written by Marcus Guido

• Teaching Tools

• Subtraction
• Multiplication
• Mixed operations
• Ordering and number sense
• Comparing and sequencing
• Physical measurement
• Ratios and percentages
• Probability and data relationships

You sit at your desk, ready to put a math quiz, test or activity together. The questions flow onto the document until you hit a section for word problems.

A jolt of creativity would help. But it doesn’t come.

Whether you’re a 3rd grade teacher or an 8th grade teacher preparing students for high school, translating math concepts into real world examples can certainly be a challenge.

This resource is your jolt of creativity. It provides examples and templates of math word problems for 1st to 8th grade classes . ( See our entire list of back to school resources for teachers here .)

There are 120 examples in total.

The list of examples is supplemented by tips to create engaging and challenging math word problems.

120 Math word problems, categorized by skill

Addition word problems.

Best for: 1st grade, 2nd grade

1. Adding to 10: Ariel was playing basketball. 1 of her shots went in the hoop. 2 of her shots did not go in the hoop. How many shots were there in total?

2. Adding to 20: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store to get 3 more pieces of gum. How many pieces of gum does Adrianna have now?

3. Adding to 100: Adrianna has 10 pieces of gum to share with her friends. There wasn’t enough gum for all her friends, so she went to the store and got 70 pieces of strawberry gum and 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

4. Adding Slightly over 100: The restaurant has 175 normal chairs and 20 chairs for babies. How many chairs does the restaurant have in total?

5. Adding to 1,000: How many cookies did you sell if you sold 320 chocolate cookies and 270 vanilla cookies?

6. Adding to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In June, the hobby store sold 15,498 more trading cards than normal. In total, how many trading cards did the hobby store sell in June?

7. Adding 3 Numbers: Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?

8. Adding 3 Numbers to and over 100: Ashley bought a big bag of candy. The bag had 102 blue candies, 100 red candies and 94 green candies. How many candies were there in total?

Subtraction word problems

Best for: 1st grade, second grade

9. Subtracting to 10: There were 3 pizzas in total at the pizza shop. A customer bought 1 pizza. How many pizzas are left?

10. Subtracting to 20: Your friend said she had 11 stickers. When you helped her clean her desk, she only had a total of 10 stickers. How many stickers are missing?

11. Subtracting to 100: Adrianna has 100 pieces of gum to share with her friends. When she went to the park, she shared 10 pieces of strawberry gum. When she left the park, Adrianna shared another 10 pieces of bubble gum. How many pieces of gum does Adrianna have now?

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12. Subtracting Slightly over 100: Your team scored a total of 123 points. 67 points were scored in the first half. How many were scored in the second half?

13. Subtracting to 1,000: Nathan has a big ant farm. He decided to sell some of his ants. He started with 965 ants. He sold 213. How many ants does he have now?

14. Subtracting to and over 10,000: The hobby store normally sells 10,576 trading cards per month. In July, the hobby store sold a total of 20,777 trading cards. How many more trading cards did the hobby store sell in July compared with a normal month?

15. Subtracting 3 Numbers: Charlene had a pack of 35 pencil crayons. She gave 6 to her friend Theresa. She gave 3 to her friend Mandy. How many pencil crayons does Charlene have left?

16. Subtracting 3 Numbers to and over 100: Ashley bought a big bag of candy to share with her friends. In total, there were 296 candies. She gave 105 candies to Marissa. She also gave 86 candies to Kayla. How many candies were left?

Multiplication word problems

Best for: 2nd grade, 3rd grade

17. Multiplying 1-Digit Integers: Adrianna needs to cut a pan of brownies into pieces. She cuts 6 even columns and 3 even rows into the pan. How many brownies does she have?

18. Multiplying 2-Digit Integers: A movie theatre has 25 rows of seats with 20 seats in each row. How many seats are there in total?

19. Multiplying Integers Ending with 0: A clothing company has 4 different kinds of sweatshirts. Each year, the company makes 60,000 of each kind of sweatshirt. How many sweatshirts does the company make each year?

20. Multiplying 3 Integers: A bricklayer stacks bricks in 2 rows, with 10 bricks in each row. On top of each row, there is a stack of 6 bricks. How many bricks are there in total?

21. Multiplying 4 Integers: Cayley earns $5 an hour by delivering newspapers. She delivers newspapers 3 days each week, for 4 hours at a time. After delivering newspapers for 8 weeks, how much money will Cayley earn?

Division word problems

Best for: 3rd grade, 4th grade, 5th grade

22. Dividing 1-Digit Integers: If you have 4 pieces of candy split evenly into 2 bags, how many pieces of candy are in each bag?

23. Dividing 2-Digit Integers: If you have 80 tickets for the fair and each ride costs 5 tickets, how many rides can you go on?

24. Dividing Numbers Ending with 0: The school has $20,000 to buy new computer equipment. If each piece of equipment costs $50, how many pieces can the school buy in total?

25. Dividing 3 Integers: Melissa buys 2 packs of tennis balls for $12 in total. All together, there are 6 tennis balls. How much does 1 pack of tennis balls cost? How much does 1 tennis ball cost?

26. Interpreting Remainders: An Italian restaurant receives a shipment of 86 veal cutlets. If it takes 3 cutlets to make a dish, how many cutlets will the restaurant have left over after making as many dishes as possible?

Mixed operations word problems

27. Mixing Addition and Subtraction: There are 235 books in a library. On Monday, 123 books are taken out. On Tuesday, 56 books are brought back. How many books are there now?

28. Mixing Multiplication and Division: There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas should they order?

29. Mixing Multiplication, Addition and Subtraction: Lana has 2 bags with 2 marbles in each bag. Markus has 2 bags with 3 marbles in each bag. How many more marbles does Markus have?

30. Mixing Division, Addition and Subtraction: Lana has 3 bags with the same amount of marbles in them, totaling 12 marbles. Markus has 3 bags with the same amount of marbles in them, totaling 18 marbles. How many more marbles does Markus have in each bag?

Ordering and number sense word problems

31. Counting to Preview Multiplication: There are 2 chalkboards in your classroom. If each chalkboard needs 2 pieces of chalk, how many pieces do you need in total?

32. Counting to Preview Division: There are 3 chalkboards in your classroom. Each chalkboard has 2 pieces of chalk. This means there are 6 pieces of chalk in total. If you take 1 piece of chalk away from each chalkboard, how many will there be in total?

33. Composing Numbers: What number is 6 tens and 10 ones?

34. Guessing Numbers: I have a 7 in the tens place. I have an even number in the ones place. I am lower than 74. What number am I?

35. Finding the Order: In the hockey game, Mitchell scored more points than William but fewer points than Auston. Who scored the most points? Who scored the fewest points?

Fractions word problems

Best for: 3rd grade, 4th grade, 5th grade, 6th grade

36. Finding Fractions of a Group: Julia went to 10 houses on her street for Halloween. 5 of the houses gave her a chocolate bar. What fraction of houses on Julia’s street gave her a chocolate bar?

37. Finding Unit Fractions: Heather is painting a portrait of her best friend, Lisa. To make it easier, she divides the portrait into 6 equal parts. What fraction represents each part of the portrait?

38. Adding Fractions with Like Denominators: Noah walks ⅓ of a kilometre to school each day. He also walks ⅓ of a kilometre to get home after school. How many kilometres does he walk in total?

39. Subtracting Fractions with Like Denominators: Last week, Whitney counted the number of juice boxes she had for school lunches. She had ⅗ of a case. This week, it’s down to ⅕ of a case. How much of the case did Whitney drink?

40. Adding Whole Numbers and Fractions with Like Denominators: At lunchtime, an ice cream parlor served 6 ¼ scoops of chocolate ice cream, 5 ¾ scoops of vanilla and 2 ¾ scoops of strawberry. How many scoops of ice cream did the parlor serve in total?

41. Subtracting Whole Numbers and Fractions with Like Denominators: For a party, Jaime had 5 ⅓ bottles of cola for her friends to drink. She drank ⅓ of a bottle herself. Her friends drank 3 ⅓. How many bottles of cola does Jaime have left?

42. Adding Fractions with Unlike Denominators: Kevin completed ½ of an assignment at school. When he was home that evening, he completed ⅚ of another assignment. How many assignments did Kevin complete?

43. Subtracting Fractions with Unlike Denominators: Packing school lunches for her kids, Patty used ⅞ of a package of ham. She also used ½ of a package of turkey. How much more ham than turkey did Patty use?

44. Multiplying Fractions: During gym class on Wednesday, the students ran for ¼ of a kilometre. On Thursday, they ran ½ as many kilometres as on Wednesday. How many kilometres did the students run on Thursday? Write your answer as a fraction.

45. Dividing Fractions: A clothing manufacturer uses ⅕ of a bottle of colour dye to make one pair of pants. The manufacturer used ⅘ of a bottle yesterday. How many pairs of pants did the manufacturer make?

46. Multiplying Fractions with Whole Numbers: Mark drank ⅚ of a carton of milk this week. Frank drank 7 times more milk than Mark. How many cartons of milk did Frank drink? Write your answer as a fraction, or as a whole or mixed number.

Decimals word problems

Best for: 4th grade, 5th grade

47. Adding Decimals: You have 2.6 grams of yogurt in your bowl and you add another spoonful of 1.3 grams. How much yogurt do you have in total?

48. Subtracting Decimals: Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gemma have left?

49. Multiplying Decimals with Whole Numbers: Marshall walks a total of 0.9 kilometres to and from school each day. After 4 days, how many kilometres will he have walked?

50. Dividing Decimals by Whole Numbers: To make the Leaning Tower of Pisa from spaghetti, Mrs. Robinson bought 2.5 kilograms of spaghetti. Her students were able to make 10 leaning towers in total. How many kilograms of spaghetti does it take to make 1 leaning tower?

51. Mixing Addition and Subtraction of Decimals: Rocco has 1.5 litres of orange soda and 2.25 litres of grape soda in his fridge. Antonio has 1.15 litres of orange soda and 0.62 litres of grape soda. How much more soda does Rocco have than Angelo?

52. Mixing Multiplication and Division of Decimals: 4 days a week, Laura practices martial arts for 1.5 hours. Considering a week is 7 days, what is her average practice time per day each week?

Comparing and sequencing word problems

Best for: Kindergarten, 1st grade, 2nd grade

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

55. Comparing Different Variables: There are 5 basketballs on the playground. There are 7 footballs on the playground. Are there more basketballs or footballs?

56. Sequencing 1-Digit Integers: Erik has 0 stickers. Every day he gets 1 more sticker. How many days until he gets 3 stickers?

57. Skip-Counting by Odd Numbers: Natalie began at 5. She skip-counted by fives. Could she have said the number 20?

58. Skip-Counting by Even Numbers: Natasha began at 0. She skip-counted by eights. Could she have said the number 36?

59. Sequencing 2-Digit Numbers: Each month, Jeremy adds the same number of cards to his baseball card collection. In January, he had 36. 48 in February. 60 in March. How many baseball cards will Jeremy have in April?

Time word problems

66. Converting Hours into Minutes: Jeremy helped his mom for 1 hour. For how many minutes was he helping her?

69. Adding Time: If you wake up at 7:00 a.m. and it takes you 1 hour and 30 minutes to get ready and walk to school, at what time will you get to school?

70. Subtracting Time: If a train departs at 2:00 p.m. and arrives at 4:00 p.m., how long were passengers on the train for?

71. Finding Start and End Times: Rebecca left her dad’s store to go home at twenty to seven in the evening. Forty minutes later, she was home. What time was it when she arrived home?

Money word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade

60. Adding Money: Thomas and Matthew are saving up money to buy a video game together. Thomas has saved $30. Matthew has saved $35. How much money have they saved up together in total?

61. Subtracting Money: Thomas has $80 saved up. He uses his money to buy a video game. The video game costs $67. How much money does he have left?

62. Multiplying Money: Tim gets $5 for delivering the paper. How much money will he have after delivering the paper 3 times?

63. Dividing Money: Robert spent $184.59 to buy 3 hockey sticks. If each hockey stick was the same price, how much did 1 cost?

64. Adding Money with Decimals: You went to the store and bought gum for $1.25 and a sucker for $0.50. How much was your total?

65. Subtracting Money with Decimals: You went to the store with $5.50. You bought gum for $1.25, a chocolate bar for $1.15 and a sucker for $0.50. How much money do you have left?

67. Applying Proportional Relationships to Money: Jakob wants to invite 20 friends to his birthday, which will cost his parents $250. If he decides to invite 15 friends instead, how much money will it cost his parents? Assume the relationship is directly proportional.

68. Applying Percentages to Money: Retta put $100.00 in a bank account that gains 20% interest annually. How much interest will be accumulated in 1 year? And if she makes no withdrawals, how much money will be in the account after 1 year?

Physical measurement word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade

72. Comparing Measurements: Cassandra’s ruler is 22 centimetres long. April’s ruler is 30 centimetres long. How many centimetres longer is April’s ruler?

73. Contextualizing Measurements: Picture a school bus. Which unit of measurement would best describe the length of the bus? Centimetres, metres or kilometres?

74. Adding Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Last year, Micha’s dad used 100 litres of gas. This year, her dad used 90 litres of gas. How much gas did he use in total for the two years?

75. Subtracting Measurements: Micha’s dad wants to try to save money on gas, so he has been tracking how much he uses. Over the past two years, Micha’s dad used 200 litres of gas. This year, he used 100 litres of gas. How much gas did he use last year?

76. Multiplying Volume and Mass: Kiera wants to make sure she has strong bones, so she drinks 2 litres of milk every week. After 3 weeks, how many litres of milk will Kiera drink?

77. Dividing Volume and Mass: Lillian is doing some gardening, so she bought 1 kilogram of soil. She wants to spread the soil evenly between her 2 plants. How much will each plant get?

78. Converting Mass: Inger goes to the grocery store and buys 3 squashes that each weigh 500 grams. How many kilograms of squash did Inger buy?

79. Converting Volume: Shad has a lemonade stand and sold 20 cups of lemonade. Each cup was 500 millilitres. How many litres did Shad sell in total?

80. Converting Length: Stacy and Milda are comparing their heights. Stacy is 1.5 meters tall. Milda is 10 centimetres taller than Stacy. What is Milda’s height in centimetres?

81. Understanding Distance and Direction: A bus leaves the school to take students on a field trip. The bus travels 10 kilometres south, 10 kilometres west, another 5 kilometres south and 15 kilometres north. To return to the school, in which direction does the bus have to travel? How many kilometres must it travel in that direction?

Ratios and percentages word problems

Best for: 4th grade, 5th grade, 6th grade

82. Finding a Missing Number: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. Jenny has 28 trophies. How many does Meredith have?

83. Finding Missing Numbers: The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. The difference between the numbers is 12. What are the numbers?

84. Comparing Ratios: The school’s junior band has 10 saxophone players and 20 trumpet players. The school’s senior band has 18 saxophone players and 29 trumpet players. Which band has the higher ratio of trumpet to saxophone players?

85. Determining Percentages: Mary surveyed students in her school to find out what their favourite sports were. Out of 1,200 students, 455 said hockey was their favourite sport. What percentage of students said hockey was their favourite sport?

86. Determining Percent of Change: A decade ago, Oakville’s population was 67,624 people. Now, it is 190% larger. What is Oakville’s current population?

87. Determining Percents of Numbers: At the ice skate rental stand, 60% of 120 skates are for boys. If the rest of the skates are for girls, how many are there?

88. Calculating Averages: For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Probability and data relationships word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade

89. Understanding the Premise of Probability: John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?

90. Understanding Tangible Probability: The faces on a fair number die are labelled 1, 2, 3, 4, 5 and 6. You roll the die 12 times. How many times should you expect to roll a 1?

91. Exploring Complementary Events: The numbers 1 to 50 are in a hat. If the probability of drawing an even number is 25/50, what is the probability of NOT drawing an even number? Express this probability as a fraction.

92. Exploring Experimental Probability: A pizza shop has recently sold 15 pizzas. 5 of those pizzas were pepperoni. Answering with a fraction, what is the experimental probability that he next pizza will be pepperoni?

93. Introducing Data Relationships: Maurita and Felice each take 4 tests. Here are the results of Maurita’s 4 tests: 4, 4, 4, 4. Here are the results for 3 of Felice’s 4 tests: 3, 3, 3. If Maurita’s mean for the 4 tests is 1 point higher than Felice’s, what’s the score of Felice’s 4th test?

94. Introducing Proportional Relationships: Store A is selling 7 pounds of bananas for $7.00. Store B is selling 3 pounds of bananas for $6.00. Which store has the better deal?

95. Writing Equations for Proportional Relationships: Lionel loves soccer, but has trouble motivating himself to practice. So, he incentivizes himself through video games. There is a proportional relationship between the amount of drills Lionel completes, in x , and for how many hours he plays video games, in y . When Lionel completes 10 drills, he plays video games for 30 minutes. Write the equation for the relationship between x and y .

Geometry word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade, 8th grade

96. Introducing Perimeter:  The theatre has 4 chairs in a row. There are 5 rows. Using rows as your unit of measurement, what is the perimeter?

97. Introducing Area: The theatre has 4 chairs in a row. There are 5 rows. How many chairs are there in total?

98. Introducing Volume: Aaron wants to know how much candy his container can hold. The container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. What is the container’s volume?

99. Understanding 2D Shapes: Kevin draws a shape with 4 equal sides. What shape did he draw?

100. Finding the Perimeter of 2D Shapes: Mitchell wrote his homework questions on a piece of square paper. Each side of the paper is 8 centimetres. What is the perimeter?

101. Determining the Area of 2D Shapes: A single trading card is 9 centimetres long by 6 centimetres wide. What is its area?

102. Understanding 3D Shapes: Martha draws a shape that has 6 square faces. What shape did she draw?

103. Determining the Surface Area of 3D Shapes: What is the surface area of a cube that has a width of 2cm, height of 2 cm and length of 2 cm?

104. Determining the Volume of 3D Shapes: Aaron’s candy container is 20 centimetres tall, 10 centimetres long and 10 centimetres wide. Bruce’s container is 25 centimetres tall, 9 centimetres long and 9 centimetres wide. Find the volume of each container. Based on volume, whose container can hold more candy?

105. Identifying Right-Angled Triangles: A triangle has the following side lengths: 3 cm, 4 cm and 5 cm. Is this triangle a right-angled triangle?

106. Identifying Equilateral Triangles: A triangle has the following side lengths: 4 cm, 4 cm and 4 cm. What kind of triangle is it?

107. Identifying Isosceles Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 5 cm. What kind of triangle is it?

108. Identifying Scalene Triangles: A triangle has the following side lengths: 4 cm, 5 cm and 6 cm. What kind of triangle is it?

109. Finding the Perimeter of Triangles: Luigi built a tent in the shape of an equilateral triangle. The perimeter is 21 metres. What is the length of each of the tent’s sides?

110. Determining the Area of Triangles: What is the area of a triangle with a base of 2 units and a height of 3 units?

111. Applying Pythagorean Theorem: A right triangle has one non-hypotenuse side length of 3 inches and the hypotenuse measures 5 inches. What is the length of the other non-hypotenuse side?

112. Finding a Circle’s Diameter: Jasmin bought a new round backpack. Its area is 370 square centimetres. What is the round backpack’s diameter?

113. Finding a Circle's Area: Captain America’s circular shield has a diameter of 76.2 centimetres. What is the area of his shield?

114. Finding a Circle’s Radius: Skylar lives on a farm, where his dad keeps a circular corn maze. The corn maze has a diameter of 2 kilometres. What is the maze’s radius?

Variables word problems

Best for: 6th grade, 7th grade, 8th grade

115. Identifying Independent and Dependent Variables: Victoria is baking muffins for her class. The number of muffins she makes is based on how many classmates she has. For this equation, m is the number of muffins and c is the number of classmates. Which variable is independent and which variable is dependent?

116. Writing Variable Expressions for Addition: Last soccer season, Trish scored g goals. Alexa scored 4 more goals than Trish. Write an expression that shows how many goals Alexa scored.

117. Writing Variable Expressions for Subtraction: Elizabeth eats a healthy, balanced breakfast b times a week. Madison sometimes skips breakfast. In total, Madison eats 3 fewer breakfasts a week than Elizabeth. Write an expression that shows how many times a week Madison eats breakfast.

118. Writing Variable Expressions for Multiplication: Last hockey season, Jack scored g goals. Patrik scored twice as many goals than Jack. Write an expression that shows how many goals Patrik scored.

119. Writing Variable Expressions for Division: Amanda has c chocolate bars. She wants to distribute the chocolate bars evenly among 3 friends. Write an expression that shows how many chocolate bars 1 of her friends will receive.

120. Solving Two-Variable Equations: This equation shows how the amount Lucas earns from his after-school job depends on how many hours he works: e = 12h . The variable h represents how many hours he works. The variable e represents how much money he earns. How much money will Lucas earn after working for 6 hours?

How to easily make your own math word problems & word problems worksheets

Armed with 120 examples to spark ideas, making your own math word problems can engage your students and ensure alignment with lessons. Do:

• Link to Student Interests:  By framing your word problems with student interests, you’ll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
• Make Questions Topical:  Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
• Include Student Names:  Naming a question’s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
• Be Explicit:  Repeating keywords distills the question, helping students focus on the core problem.
• Test Reading Comprehension:  Flowery word choice and long sentences can hide a question’s key elements. Instead, use concise phrasing and grade-level vocabulary.
• Focus on Similar Interests:  Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
• Feature Red Herrings:  Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

A key to differentiated instruction , word problems that students can relate to and contextualize will capture interest more than generic and abstract ones.

Final thoughts about math word problems

You’ll likely get the most out of this resource by using the problems as templates, slightly modifying them by applying the above tips. In doing so, they’ll be more relevant to -- and engaging for -- your students.

Regardless, having 120 curriculum-aligned math word problems at your fingertips should help you deliver skill-building challenges and thought-provoking assessments.

The result?

A greater understanding of how your students process content and demonstrate understanding, informing your ongoing teaching approach.

Try Prodigy

There's no cost to you or your students and Prodigy is fully aligned with state standards for grades 1-8 math.

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Use Prodigy to spark a love for math in your students – including when solving word problems!

• Texas Go Math
• Big Ideas Math
• Engageny Math
• McGraw Hill My Math
• enVision Math
• 180 Days of Math
• Math in Focus Answer Key
• Math Expressions Answer Key
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8th Grade Math Practice, Topics, Test, Problems, and Worksheets

• Eureka Math Grade 8 Answer Key

Go Math Grade 8 Answer Key

Big ideas math answers grade 8.

Do you have a test coming up and scared about what to prepare for in 8th Grade Math? Don’t Fret as we have included the bunch of topics that you might come across in Grade 8 Maths all in one place.

Check out Chapterwise Go Math 8th Grade Answer Key available here during your practice sessions. Make the most out of them and score better grades in your exams. You can access whichever chapter you feel like preparing by tapping on the quick links listed below. Once you click on them you will be redirected to the concerned chapter in no time.

Grade 8 HMH Go Math – Answer Keys

• Chapter 1 Real Numbers
• Chapter 2 Exponents and Scientific Notation
• Chapter 3 Proportional Relationships
• Chapter 4 Nonproportional Relationships
• Chapter 5 Writing Linear Equations
• Chapter 6 Functions
• Chapter 7 Solving Linear Equations
• Chapter 8 Solving Systems of Linear Equations
• Chapter 9 Transformations and Congruence
• Chapter 10 Transformations and Similarity
• Chapter 11 Angle Relationships in Parallel Lines and Triangles
• Chapter 12 The Pythagorean Theorem
• Chapter 13 Volume
• Chapter 14 Scatter Plots
• Chapter 15 Two-Way Tables

Access our Big Ideas Math 8th Grade Answers listed below to resolve all your queries on the Chapters involved. Don’t worry about the accuracy of the Big Ideas Math Grade 8 Solutions as they are given after extensive research. Start Practicing the Chapterwise BIM 8th Grade Answers and no longer feel the concepts of Big Ideas Math Grade 8th difficult.

• Chapter 1 Equations
• Chapter 2 Transformations
• Chapter 3 Angles and Triangles
• Chapter 4 Graphing and Writing Linear Equations
• Chapter 5 Systems of Linear Equations
• Chapter 6 Data Analysis and Displays
• Chapter 7 Functions
• Chapter 8 Exponents and Scientific Notation
• Chapter 9 Real Numbers and the Pythagorean Theorem
• Chapter 10 Volume and Similar Solids

8th Grade Math Topics

Teaching Grade 8 Math Topics effectively will help your kids to advance their math reasoning and logical ability. Confidence and ability to learn will be improved by referring to the 8th Standard Math Topics available. Thus, they will be prepared for high school studies. If you want to learn more about the 8th Grade Math Concepts have an insight into the below topics and get an idea of what is included in the 8th Grade Curriculum.

All you have to do is simply tap on the quick links available to avail the respective topics and get a grip on them. We included both the theoretical part as well as worksheets for your practice. Our 8th Grade Math Worksheets make it easy for you to test your preparation standard on the corresponding topics. Identify the knowledge gap and improvise on the topics you are facing difficulty with.

Ratio and Proportion

• What is Ratio and Proportion?
• Practice Test on Ratio and Proportion
• Worked out Problems on Ratio and Proportion

Ratio and Proportion – Worksheets

• Worksheet on Ratio and Proportion
• Significant Figures

Significant Figures – Worksheets

• Worksheet on Significant Figures
• Perfect Square or Square Number
• Properties of Perfect Squares

Square – Worksheets

• Worksheet on Squares
• Square Root
• Square Root of a Perfect Square by using the Prime Factorization Method
• Square Root of a Perfect Square by Using the Long Division Method
• Square Root of Numbers in the Decimal Form
• Square Root of Number in the Fraction Form
• Square Root of Numbers that are Not Perfect Squares
• Table of Square Roots
• Practice Test on Square and Square Roots

Square Root- Worksheets

• Worksheet on Square Root using Prime Factorization Method
• Worksheet on Square Root using Long Division Method
• Worksheet on Square Root of Numbers in Decimal and Fraction Form
• Algebraic Expression
• Addition of Algebraic Expressions
• Subtraction of Algebraic Expressions
• Multiplication of Algebraic Expression
• Division of Algebraic Expressions
• Formula and Framing the Formula
• Change the Subject of a Formula
• Changing the Subject in an Equation or Formula
• Practice Test on Framing the Formula

Formula – Worksheets

• Worksheet on Framing the Formula
• Worksheet on Changing the Subject of a Formula
• Worksheet on Changing the Subject in an Equation or Formula
• Factorization
• Factors of Algebraic Expressions
• Monomial is a Common Factor
• Factorization when Monomial is Common
• Binomial is a Common Factor
• Factorization when Binomial is Common
• Factorization by Grouping
• Factorize by Grouping The Terms
• Factoring Terms by Grouping
• Factorization by Regrouping
• Factorize by Regrouping The Terms
• Factoring Terms by Regrouping
• Factorization by Using Identities
• Factorization of Perfect Square
• Factorization of Perfect Square Trinomials
• Difference of Two Squares
• Factoring Differences of Squares
• Factorize the Difference of Two Squares
• Evaluate the Difference of Two Squares
• Factorize the Trinomial x^2 + px + q
• Factorize the Trinomial ax^2 + bx + c
• Factorization of Quadratic Trinomials

Factorization – Worksheet

• Worksheet on Factoring Algebraic Expression
• Worksheet on Factoring Binomials
• Worksheet on Factoring by Grouping
• Worksheet on Factorization by Regrouping
• Worksheet on Factoring out a Common Binomial Factor
• Worksheet on Factoring Identities
• Worksheet on Factoring the Differences of Two Squares
• Worksheet on Factorization using Formula
• Worksheet on Factoring Trinomials
• Worksheet on Factoring Simple Quadratics
• Worksheet on Factoring Quadratic Trinomials
• Worksheet on Factoring Trinomials by Substitution
• Worksheet on Factorization
• What is a Linear Equation?
• How to Solve Linear Equations?
• Solving Linear Equations
• Problems on Linear Equations in One Variable
• Word Problems on Linear Equations in One Variable
• Practice Test on Linear Equations
• Practice Test on Word Problems on Linear Equations

Equations – Worksheets

• Worksheet on Linear Equations
• Worksheet on Word Problems on Linear Equation
• Simultaneous Linear Equations
• Comparison Method
• Elimination Method
• Substitution Method
• Cross-Multiplication Method
• Solvability of Linear Simultaneous Equations
• Pairs of Equations in Two Variables
• Word Problems on Simultaneous Linear Equations
• Practice Test on Word Problems Involving Simultaneous Linear Equations

Simultaneous Linear Equations – Worksheets

• Worksheet on Simultaneous Linear Equations
• Worksheet on Problems on Simultaneous Linear Equations

Linear Inequations

• What are Linear Inequality?
• What are Linear Inequations?
• Properties of Inequation or Inequalities
• Representation of the Solution Set of an Inequation
• Practice Test on Linear Inequation

Linear Inequations – Worksheets

• Worksheet on Linear Inequations
• Quadratic Equations

Quadratic Equations – Worksheets

• Worksheet on Quadratic Equations
• Fraction into Percentage
• Percentage into Fraction
• Percentage into Ratio
• Ratio into Percentage
• Percentage into Decimal
• Decimal into Percentage
• Percentage of the given Quantity
• How much Percentage One Quantity is of Another?
• Percentage of a Number
• Increase Percentage
• Decrease Percentage
• Basic Problems on Percentage
• Solved Examples on Percentage
• Problems on Percentage
• Real-Life Problems on Percentage
• Word Problems on Percentage
• Application of Percentage

Percentage – Worksheets

• Worksheet on Fraction into Percentage
• Worksheet on Percentage into Fraction
• Worksheet on Percentage into Ratio
• Worksheet on Ratio into Percentage
• Worksheet on Percentage into Decimal
• Worksheet on Percentage of a Number
• Worksheet on Finding Percent
• Worksheet on Finding Value of a Percentage
• Worksheet on Percentage of a Given Quantity
• Worksheet on Word Problems on Percentage
• Worksheet on Increase Percentage
• Worksheet on Decrease Percentage
• Worksheet on increase and Decrease Percentage
• Worksheet on Expressing Percent
• Worksheet on Percent Problems
• Worksheet on Finding Percentage

Profit, Loss, and Discount

• Calculating Profit Percent and Loss Percent
• Word Problems on Profit and Loss
• Examples on Calculating Profit or Loss
• Practice Test on Profit and Loss
• Practice Test on Profit Loss and Discount

Profit, Loss, and Discount – Worksheets

• Worksheet to Find Profit and Loss
• Worksheets on Profit and Loss Percentage
• Worksheet on Gain and Loss Percentage
• Worksheet on Discounts
• Time and Work
• Pipes and Cistern
• Practice Test on Time and Work

Time and Work – Worksheets

• Worksheet on Time and Work

Time and Distance

• Speed of Train
• Relationship between Speed, Distance and Time
• Conversion of Units of Speed
• Problems on Calculating Speed
• Problems on Calculating Distance
• Problems on Calculating Time
• Two Objects Move in Same Direction
• Two Objects Move in Opposite Direction
• Train Passes a Moving Object in the Same Direction
• Train Passes a Moving Object in the Opposite Direction
• Train Passes through a Pole
• Train Passes through a Bridge
• Two Trains Passes in the Same Direction
• Two Trains Passes in the Opposite Direction

Time and Distance – Worksheets

• Worksheet on Conversion of Units of Speed
• Worksheet on Calculating Time
• Worksheet on Calculating Speed
• Worksheet on Calculating Distance
• Worksheet on Train Passes through a Pole
• Worksheet on Train Passes through a Bridge
• Worksheet on Relative Speed
• Worksheet on Decimal into Percentage

Simple Interest

• What is Simple Interest?
• Calculate Simple Interest
• Practice Test on Simple Interest

Simple Interest – Worksheets

• Simple Interest Worksheet
• Compound Interest
• Compound Interest with Growing Principal
• Compound Interest with Periodic Deductions
• Compound Interest by Using Formula
• Compound Interest when Interest is Compounded Yearly
• Compound Interest when Interest is Compounded Half-Yearly
• Compound Interest when Interest is Compounded Quarterly
• Problems on Compound Interest
• Variable Rate of Compound Interest
• Difference of Compound Interest and Simple Interest
• Practice Test on Compound Interest
• Uniform Rate of Growth
• Uniform Rate of Depreciation
• Uniform Rate of Growth and Depreciation

Compound Interest – Worksheet

• Worksheet on Compound Interest
• Worksheet on Compound Interest when Interest is Compounded Half-Yearly
• Worksheet on Compound Interest with Growing Principal
• Worksheet on Compound Interest with Periodic Deductions
• Worksheet on Variable Rate of Compound Interest
• Worksheet on Difference of Compound Interest and Simple Interest
• Worksheet on Uniform Rate of Growth
• Worksheet on Uniform Rate of Depreciation
• Worksheet on Uniform Rate of Growth and Depreciation

Ratio and Proportion (Direct & Inverse Variation)

• Direct Variation
• Inverse Variation
• Practice Test on Direct Variation and Inverse Variation
• Worksheet on Direct Variation
• Worksheet on Inverse Variation
• Probability

Probability – Worksheets

• Worksheet on Probability
• Lines and Angles
• Basic Geometrical Concepts
• Classification of Angles
• Related Angles
• Some Geometric Terms and Results
• Complementary Angles
• Supplementary Angles
• Complementary and Supplementary Angles
• Adjacent Angles
• Linear Pair of Angles
• Vertically Opposite Angles
• Parallel Lines
• Transversal Line
• Parallel and Transversal Lines
• Parallelogram
• Properties of a Rectangle Rhombus and Square
• Problems on Parallelogram
• Practice Test on Parallelogram

Parallelogram – Worksheet

• Worksheet on Parallelogram
• Quadrilateral
• What is Quadrilateral?
• Different Types of Quadrilaterals
• Construction of Quadrilaterals
• Construct Different Types of Quadrilaterals

Quadrilateral – Worksheets

• Quadrilateral Worksheet
• Worksheet on Construction on Quadrilateral
• Worksheet on Different Types of Quadrilaterals
• Three-Dimensional Figures

Three-Dimensional Figures – Worksheets

• Worksheet on Three Dimensional Figures
• Mensuration
• Area and Perimeter
• Perimeter and Area of Rectangle
• Perimeter and Area of Square
• Area of the Path
• Area and Perimeter of the Triangle
• Area of Parallelogram
• Area of Rhombus
• Area of Trapezium
• Circumference and Area of Circle
• Area Conversion
• Practice Test on Area and Perimeter of Rectangle
• Practice Test on Area and Perimeter of Square

Mensuration – Worksheets

• Worksheet on Area and Perimeter of Rectangles
• Worksheet on Area and Perimeter of Squares
• Worksheet on Area of the Path
• Worksheet on Circumference and Area of Circle
• Worksheet on Area and Perimeter of Triangle

Volume and Surface Area of Solids

• Volume of Cubes and Cuboids
• Worked-out Problems on Volume of a Cuboid
• Area of a Trapezium
• Area of a Polygon

Area of a Trapezium – Worksheet

• Worksheet on Trapezium
• Worksheet on Area of a Polygon

Area Proposition

• Figure on Same Base and between Same Parallels
• Parallelograms on Same Base and between Same Parallels
• Parallelograms and Rectangles on Same Base and between Same Parallels
• Triangle and Parallelogram on Same Base and between Same Parallels
• Triangle on Same Base and between Same Parallels

Area Proposition – Worksheets

• Worksheet on Same Base and Same Parallels
• Data Handling
• Frequency Distribution
• Grouping of Data

Data Handling – Worksheet

• Worksheet on Data Handling

Constructing and Interpreting Bar Graphs or Column Graphs

• Bar Graph or Column Graph

Bar Graphs or Column Graphs – Worksheets

• Worksheet on Bar Graphs or Column Graphs

Pie Charts or Pie Graphs

Pie charts or pie graphs – worksheets.

• Worksheet on Pie Chart

Coordinate Geometry

• Coordinate Graph
• Ordered pair of a Coordinate System
• Plot Ordered Pairs
• Coordinates of a Point
• All Four Quadrants
• Signs of Coordinates
• Find the Coordinates of a Point
• Coordinates of a Point in a Plane
• Plot Points on Co-ordinate Graph
• Graph of Linear Equation
• Simultaneous Equations Graphically
• Graphs of Simple Function
• Graph of Perimeter vs. Length of the Side of a Square
• Graph of Area vs. Side of a Square
• Graph of Simple Interest vs. Number of Years
• Graph of Distance vs. Time

Coordinate Geometry – Worksheet

• Worksheet on Coordinate Graph
• Sets Theory
• Representation of a Set
• Types of Sets
• Finite Sets and Infinite Sets
• Problems on Union of Sets
• Problems on Intersection of Sets
• Difference of two Sets
• Complement of a Set
• Problems on Complement of a Set
• Problems on Operation on Sets
• Word Problems on Sets
• Venn Diagrams in Different Situations
• Relationship in Sets using Venn Diagram
• Union of Sets using Venn Diagram
• Intersection of Sets using Venn Diagram
• Disjoint of Sets using Venn Diagram
• Difference of Sets using Venn Diagram
• Examples on Venn Diagram

Relations and Mapping

• Ordered Pair
• Cartesian Product of Two Sets
• Domain and Range of a Relation
• Practice Test on Math Relation
• Functions or Mapping
• Domain Co-domain and Range of Function
• Math Practice Test on Function

Relations and Mapping – Worksheets

• Worksheet on Math Relation
• Worksheet on Functions or Mapping

Cube and Cube Roots

• To Find if the Given Number is a Perfect Cube
• Method for Finding the Cube of a Two-Digit Number
• Table of Cube Roots

Cube and Cube Roots – Worksheets

• Worksheet on Cube
• Worksheet on Cube and Cube Root
• Worksheet on Cube Root

Rational Numbers

• Introduction of Rational Numbers
• What are Rational Numbers?
• Is Every Rational Number a Natural Number?
• Is Zero a Rational Number?
• Is Every Rational Number an Integer?
• Is Every Rational Number a Fraction?
• Positive Rational Number
• Negative Rational Number
• Equivalent Rational Numbers
• Equivalent form of Rational Numbers
• Rational Number in Different Forms
• Properties of Rational Numbers
• Lowest form of a Rational Number
• Standard form of a Rational Number
• Equality of Rational Numbers using Standard Form
• Equality of Rational Numbers with Common Denominator
• Equality of Rational Numbers using Cross Multiplication
• Comparison of Rational Numbers
• Rational Numbers in Ascending Order
• Rational Numbers in Descending Order
• Representation of Rational Numbers on the Number Line
• Rational Numbers on the Number Line
• Addition of Rational Number with Same Denominator
• Addition of Rational Number with Different Denominator
• Addition of Rational Numbers
• Properties of Addition of Rational Numbers
• Subtraction of Rational Number with Same Denominator
• Subtraction of Rational Number with Different Denominator
• Subtraction of Rational Numbers
• Properties of Subtraction of Rational Numbers
• Rational Expressions Involving Addition and Subtraction
• Simplify Rational Expressions Involving the Sum or Difference
• Multiplication of Rational Numbers
• Product of Rational Numbers
• Properties of Multiplication of Rational Numbers
• Rational Expressions Involving Addition, Subtraction, and Multiplication
• Reciprocal of a Rational  Number
• Division of Rational Numbers
• Rational Expressions Involving Division
• Properties of Division of Rational Numbers
• Rational Numbers between Two Rational Numbers
• To Find Rational Numbers

Rational Numbers – Worksheets

• Worksheet on Rational Numbers
• Worksheet on Equivalent Rational Numbers
• Worksheet on Lowest form of a Rational Number
• Worksheet on Standard form of a Rational Number
• Worksheet on Equality of Rational Numbers
• Worksheet on Comparison of Rational Numbers
• Worksheet on Representation of Rational Number on a Number Line
• Worksheet on Adding Rational Numbers
• Worksheet on Properties of Addition of Rational Numbers
• Worksheet on Subtracting Rational Numbers
• Worksheet on Addition and Subtraction of Rational Number
• Worksheet on Rational Expressions Involving Sum and Difference
• Worksheet on Multiplication of Rational Number
• Worksheet on Properties of Multiplication of Rational Numbers
• Worksheet on Division of Rational Numbers
• Worksheet on Properties of Division of Rational Numbers
• Worksheet on Finding Rational Numbers between Two Rational Numbers
• Worksheet on Word Problems on Rational Numbers
• Worksheet on Operations on Rational Expressions
• Objective Questions on Rational Numbers

Fun with Numbers

• Playing with Numbers
• Test of Divisibility
• Number Puzzles and Games

Fun with Numbers – Worksheets

• Worksheet on Number Puzzles and Games
• Laws of Exponents
• Rational Exponent
• Integral Exponents of a Rational Numbers
• Solved Examples on Exponents
• Practice Test on Exponents

Exponents – Worksheets

• Worksheet on Exponents

Simplification  of Algebraic Fractions

• Algebraic Fractions
• Arithmetic Fraction and Algebraic Fraction
• Highest Common Factor of Monomials
• Highest Common Factor of Monomials by Factorization
• Lowest Common Multiple of Monomials
• Lowest Common Multiple of Monomials by Factorization
• Highest Common Factor of Polynomials
• Lowest Common Multiple of Polynomials
• H.C.F. of Polynomials by Factorization
• Highest Common Factor of Polynomials by Factorization
• L.C.M. of Polynomials by Factorization
• Lowest common multiple of Polynomials by Factorization
• H.C.F. of Polynomials by Division Method
• H.C.F. of Polynomials by Long Division Method
• Relation Between H.C.F. and L.C.M. of Two Polynomials
• Reduce Algebraic Fractions to its Lowest Term
• Simplification of Algebraic Fractions
• Rule of Separation of Division
• Sum and Difference of Algebraic Fractions
• Problems on Algebraic Fractions
• Solving Algebraic Fractions
• Multiplication of Algebraic Fractions
• Division of Algebraic Fractions

Simplification  of Algebraic Fractions – Worksheets

• Worksheet on H.C.F. of Monomials
• Worksheet on L.C.M. of Monomials
• Worksheet on H.C.F. and L.C.M. of Monomials
• Worksheet on H.C.F. of Polynomials
• Worksheet on L.C.M. of Polynomials
• Worksheet on H.C.F. and L.C.M. of Polynomials
• Worksheet on Reducing Algebraic Fractions
• Worksheet on Algebraic Expressions to the Lowest Terms
• Worksheet on Algebraic Fractions
• Worksheet on Simplifying Algebraic Fractions

We know the Concepts learned in Grade 8 go a long way in higher grades concepts. Grade 8 Children are advised to practice these concepts regularly and get a good hold of them. Higher-Order Concepts such as Rational Numbers, Irrational Numbers, Exponents, etc. are all introduced in the 8th Standard.

8th Grade Math Topics covered here help you to tackle any kind of Math Problem easily. Grasp the Formulas and Techniques needed for learning 8th Standard Math Concepts in no time. Improve your mathematical abilities by practicing from our 8th Grade Math Problems provided.

Objectives of 8th Grade Math

Below is the general list of math objectives that 8th Grade Students should attain

• Identify Rational and Irrational Numbers
• Calculate and Approximate Principal Square Roots
• Solve Linear Inequalities in Two Variables.
• Differentiate between Types of Sampling Techniques.
• Determine Mean, Median, Mode, and Range of a Set of Real World Data.
• Why Choose our 8th Grade Math Curriculum?

Choose the interactive program and help your child master the concepts of Grade 8 Math.

• Activities aimed helps students to meet their math objectives easily and make the entire learning process stressful.
• You can access the lessons 24/7 so that you can prepare during your peak learning time be it day or night.
• Aside from the interactive lessons, we have included printable worksheets to provide you with tons of extra practice.
• Build additional math skills and achieve your math learning targets without struggling.
• Student paced learning encourages and keeps you be focused and motivated.
• Free Online Learning Environment deepens your conceptual knowledge.

Hope the information shared regarding the 8th Grade Math has helped you a lot. If you have any suggestions on concepts to be added to the list feel free to reach us and we will get back to you at the earliest. Bookmark our site to avail Gradewise Math Topics to cater to your math learning needs.

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Monsters Inc Math Movie Guide Questions | Word Problems | Grades 3 to 5

Subject: Mathematics

Age range: 8 - 10

Resource type: Worksheet/Activity

Last updated

13 September 2024

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This Monsters Inc Math Movie Guide Questions resource challenges students to tackle problems such as calculating how long Mike has to reach the restaurant, converting temperatures in Monstropolis, and finding the perimeter of a sushi restaurant. These fun, real-world inspired problems help reinforce important math concepts such as time conversion, multiplication, area, and perimeter.

The guide supports learning with the following math skills and standards: 3.OA.A.3: Solve multiplication problems in real-world situations 4.OA.A.2: Multiply or divide to solve comparison problems 4.MD.A.1: Solve word problems involving time 4.MD.A.2: Convert units of time to solve real-world problems 4.MD.A.3: Apply area and perimeter formulas for rectangles 5.NF.B.6: Solve real-world problems involving multiplication of fractions 5.NBT.B.5: Multiply multi-digit numbers 5.NBT.B.6: Divide multi-digit numbers to find unit rates 5.NBT.A.2: Apply powers of ten in real-world contexts

This product includes a zip file consisting of:

• An Answer Key w/ CCSS Alignment (4 Pages)
• A Student Movie Guide (4 Pages)
• A DIFFERENTIATED Student Movie Guide (4 Pages) (Includes hints and formulas necessary to solve the problem)
• 2 PDFs with link to both student Google Slide versions (2 Pages)
• CCSS alignment, Admin Movie Request and Permission Slip (2 Pages)

This resource is meant to supplement the viewing of this movie, see the IMDb listing by searching the movie title.

Check the preview file for high resolution sample questions to see if this math focused movie guide is suitable for your students. This resource consists of 10 math related questions and 2 optional long format questions that will do more than just ask your students to regurgitate information.

Is this movie guide worth it? Download two of my movie guides for free below:

• Trolls World Tour (PG - 2020)
• Onward by Disney (PG - 2020)
• The Lightning Thief
• Kung Fu Panda 3

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