problem solving for 8th graders

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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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Math Word Problems with Answers - Grade 8

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• Kindergarten
• Number charts
• Skip Counting
• Place Value
• Number Lines
• Subtraction
• Multiplication
• Word Problems
• Comparing Numbers
• Ordering Numbers
• Odd and Even
• Prime and Composite
• Roman Numerals
• Ordinal Numbers
• In and Out Boxes
• Number System Conversions
• More Number Sense Worksheets
• Size Comparison
• Measuring Length
• Metric Unit Conversion
• Customary Unit Conversion
• Temperature
• More Measurement Worksheets
• Writing Checks
• Profit and Loss
• Simple Interest
• Compound Interest
• Tally Marks
• Mean, Median, Mode, Range
• Mean Absolute Deviation
• Stem-and-leaf Plot
• Box-and-whisker Plot
• Permutation and Combination
• Probability
• Venn Diagram
• More Statistics Worksheets
• Shapes - 2D
• Shapes - 3D
• Lines, Rays and Line Segments
• Points, Lines and Planes
• Transformation
• Quadrilateral
• Ordered Pairs
• Midpoint Formula
• Distance Formula
• Parallel, Perpendicular and Intersecting Lines
• Scale Factor
• Surface Area
• Pythagorean Theorem
• More Geometry Worksheets
• Converting between Fractions and Decimals
• Significant Figures
• Convert between Fractions, Decimals, and Percents
• Proportions
• Direct and Inverse Variation
• Order of Operations
• Squaring Numbers
• Square Roots
• Scientific Notations
• Speed, Distance, and Time
• Absolute Value
• More Pre-Algebra Worksheets
• Translating Algebraic Phrases
• Evaluating Algebraic Expressions
• Simplifying Algebraic Expressions
• Algebraic Identities
• Quadratic Equations
• Systems of Equations
• Polynomials
• Inequalities
• Sequence and Series
• Complex Numbers
• More Algebra Worksheets
• Trigonometry
• Math Workbooks
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• Summer Review Packets
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8th Grade Math Worksheets

First things first, prioritize major topics with our printable compilation of 8th grade math worksheets with answer keys. Pursue conceptual understanding of topics like number systems, expressions and equations, work with radicals and exponents, solve linear equations and inequalities, evaluate and compare functions, understand similarity and congruence, know and apply the Pythagorean Theorem, find volume and surface area, develop an understanding of statistics and probability and much more. Our free math worksheets for grade 8 students make sure they start right!

Select Grade 8 Math Worksheets by Topic

Explore 2,400+ Eighth Grade Math Worksheets

Converting Fractions to Decimal

Convert each fraction with a multiple of 10 as its denominator into a decimal number by placing the decimal point at the right spot.

• Download the set

Finding the Square Roots of Perfect Squares

Apply prime factorization and determine the square roots of the first fifty perfect squares offered as positive integers.

Slope of a Line passing through Two Points

Use the formula, m = (y 2 - y 1 ) / (x 1 - x 1 ) to find the slope(m) of a line passing through two points: (x 1 ,y 1 ) and (x 2 ,y 2 ).

Solving Multi-Step Equations

Follow the order of operations, rearrange to make the unknown variable the subject, and solve for its integer value.

Identifying Functions from Ordered Pairs

Observe each set of ordered pairs given in Part A, figure out ordered pairs from graphs in Part B, and state if they represent a function.

Translation on Graphs | Writing Coordinates

Slide each figure in the said direction: up or down, left or right. Write the coordinates of the shifted image.

Congruence | Congruent Parts

Complete the congruence statement for each pair of triangles by writing the corresponding side or corresponding angle.

Finding the Interior Angle

Find the measure of the indicated interior angle by subtracting the sum of the known angles from 180.

Interior Angles - Finding the Unknown

Observe whether the interior angles lie on the same side or opposite sides of the transversal and find the unknown angle.

Identifying Right Triangles

Square the adjacent and opposite sides of the triangle; take the root of their sum; if you arrive at the hypotenuse, then it's a right triangle.

Volume of Cones

Plug the given radius(r) and height(h) in the formula V = 1/3πr 2 h and find the volume of the cone.

Mean, Median, Mode, and Range

Read each word problem with a real-life scenario and find the mean, median, mode, and range for each data set.

Converting Fractions to Percent

Switch each fraction to percent by multiplying the numerator by 100, dividing the product by the denominator, and adding the % symbol.

Finding the Square of Square Roots

The square of a square root is the radicand. So, simply multiply the radicand with the square of the number outside the root.

Convert to the Standard Form

Isolate the x and y-terms to one side and the constant to the other side of the equation and rewrite it in the form: ax + by = c.

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8th Grade Math

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Relevant Brilliant Courses (Online Content)

The four courses below are the foundations for all of the mathematics offered on Brilliant. If you’re an educator with a group of 10 or more students you want to give full access to these courses, contact [email protected] to learn more about Brilliant’s discounts for school groups .

Deep Diving Math Enrichment Problem Sets (Printable Content)

Too often, school math is all about “racing to finish” instead of diving deep to understand and explore creative, tangential lines of inquiry. These sets were written to inspire deep diving exploration that extends and enriches the core mathematical topics and skills introduced in the 8th grade common core curriculum.

Each of the “Practice-Challenge-Culmination” problem sets listed below takes some foundational skill in the common core curriculum for that grade and, after a few practice problems, extends the concept to more creative challenges, and then to a single, deep-dive question.

Finding Patterns

Ratios and proportionality, the rules of algebra, transformations, congruence, and similarity, angles, surface area, and volume, angles and the pythagorean theorem, systems of equations, exponents and exponential growth, statistics and probability.

Printable PDFs Common Core Standards Description Related Course Content EXPLORATIONS IN NUMBER THEORY [Printable PDF] CCSS.MATH.PRACTICE.MP7 This introductory number theory set is designed to increase a student’s ability to reason and problem-solve logically. These problems build upon traditional number theory learned in middle school, including primes, composites, evens, odds, factors and multiples. Students apply what they know about relationships between integers to solve these problems as they culminate into the classic scenario of finding patterns among opening and closing doors. Number Theory: Factor Trees DIVISIBILITY RULES [Printable PDF] CCSS.MATH.PRACTICE.MP1 CCSS.MATH.PRACTICE.MP7 While familiarity with divisibility rules can provide time savings and short-cuts for problem solving, it also helps foster a deep understanding of our number system. In these problems, students review divisibility rules, and then apply them to number puzzles. In the culmination, students create a six-digit number that meets a set of criteria. Math Fundamentals: Divisibility CURIOUS CRYPTOGRAMS [Printable PDF] CCSS.MATH.PRACTICE.MP7 Cryptograms are puzzles where capital letters stand in for one or more digits of a number. In these cryptogram puzzles, students combine their knowledge of number patterns and divisibility rules with strategic problem-solving skills. The problems begin with easier puzzles involving divisibility rules such as 4 and 9 before moving onto more complex rules and combinations of several of the rules at once. The culmination cryptogram can be approached in many different ways. Math Fundamentals: Cryptogram Variety Pack PLAYING WITH PATTERNS [Printable PDF] CCSS.MATH.PRACTICE.MP2 CCSS.MATH.PRACTICE.MP8 Finding patterns is at the heart of mathematics. While sometimes these patterns can lead us astray, the ability to recognize and extend patterns is extremely important. In this activity, students bring their intuition about number patterns to the next level by identifying patterns and making predictions with non-linear patterns. In the culmination, students compare and contrast two visually similar patterns. Mathematical Fundamentals: Seeing Patterns

Printable PDFs Common Core Standards Description Related Course Content PERCENTS MEET VARIABLES [Printable PDF] CCSS.MATH.CONTENT.8.EE.B.5 CCSS.MATH.CONTENT.8.EE.C.7 CCSS.MATH.PRACTICE.MP2 It’s time to move beyond typical percent calculations and into the world of percent intuition. In these percent problems, students move beyond simple calculations to complex problems that require applying algebraic reasoning and developing intuition about percents and percent change. The culmination question pushes students to reason through percent change as it pertains to halving and doubling times. Another layer of complexity can be added to this exploration by asking that students prove all answers with variables. Algebra Through Puzzles: Mixing Problems PRICKLY PROPORTIONS [Printable PDF] CCSS.MATH.CONTENT.8.EE.B.5 CCSS.MATH.CONTENT.8.EE.C.7 CCSS.MATH.PRACTICE.MP1 Proportional reasoning is one of the essential building blocks for algebraic thinking and higher-level problem solving. These proportion problems encourage students to think intuitively about proportions and how quantities change in relation to one another. The dairy cow culmination question wraps it all up with one variable-filled proportional reasoning challenge. Algebra Through Puzzles: Proportionality RATIOS MEET ALGEBRA [Printable PDF] CCSS.MATH.CONTENT.8.EE.C.7 CCSS.MATH.PRACTICE.MP1 CCSS.MATH.PRACTICE.MP7 Not just your standard ratio problems, these questions challenge students to extend their understanding of ratios and proportions. Students begin with geometric scenarios and problems that are easily represented pictorially before moving on to mixing problems. In the culmination, students attempt to make sense of fractions and percentages involving multi-part ratios. Throughout this activity, students should be encouraged to apply algebraic strategies to make problem solving easier and more efficient. Algebra Through Puzzles: Mixing Problems

Printable PDFs Common Core Standards Description Related Course Content ARITHMETIC PUZZLES [Printable PDF] CCSS.MATH.PRACTICE.MP1 CCSS.MATH.PRACTICE.MP2 These arithmetic puzzles, ranging from magic squares to magic triangles, are designed to help broaden a student’s problem-solving skills. These methods of strategic thinking lay a strong foundation for algebra. The problems introduce arithmetic puzzles before moving into strategy development. In the culmination problem, students are asked to determine the sum of the three corner values in a magic triangle. Algebra Through Puzzles: Magic Rectangles 1 ARITHMETIC MEETS ALGEBRA [Printable PDF] CCSS.MATH.CONTENT.8.F.B.4 CCSS.MATH.PRACTICE.MP8 Students bring their intuition about number patterns to the next level in this series of problems by identifying patterns, making predictions, and generalizing with variables. Students begin by examining the sum of consecutive odd integers. Then, students identify patterns in sums of consecutive integers and write rules for the patterns they see. Lastly, students dive into ways to generalize patterns they see in pentagonal and hexagonal numbers. Algebra Through Puzzles: The Gauss Trick EXPRESSIONS AND IDENTITIES [Printable PDF] CCSS.MATH.CONTENT.8.EE.C.7 CCSS.MATH.PRACTICE.MP7 Manipulation of algebraic expressions is one of the most basic and important skills in a problem solver's repertoire. Without it, a problem solver would frequently be hopelessly stuck. In this series of problems, students have the opportunity to simplify, manipulate, and compare a wide variety of algebraic expressions. In the more challenging questions, students use variables to prove why numerical patterns that they see will always be true. Mathematical Fundamentals: Always-Sometimes-Never ALGEBRA PUZZLES [Printable PDF] CCSS.MATH.CONTENT.8.EE.C.7 CCSS.MATH.PRACTICE.MP7 Variable equations are one of the most generally applicable problem-solving tools in all of mathematics. In this series of problems, students explore how algebra's symbolic language can be experimented with and manipulated as a problem-solving tool. Students should be encouraged to solve the initial problems using strategic thinking and algebra rather than guess-and-check. The challenge and culmination questions are solved most efficiently and elegantly through the use of algebra. Mathematical Fundamentals: Using Variables

Printable PDFs Common Core Standards Description Related Course Content TILING AND TESSELLATIONS [Printable PDF] CCSS.MATH.CONTENT.8.G.A.1 CCSS.MATH.PRACTICE.MP1 CCSS.MATH.PRACTICE.MP2 This problem set aims to improve students’ understanding of congruence and visual patterns as it explores tiling and tessellations in the infinite plane. Students explore how to tile both regular and irregular 2D shapes. Then, students analyze tiling possibilities with varieties of triangles and pentagons. Finally, students develop a procedure for how to tile any quadrilateral. Outside of the Box Geometry: Regular Tessellations REP-TILES AND SELF-SIMILARITY [Printable PDF] CCSS.MATH.CONTENT.8.G.A.4 CCSS.MATH.CONTENT.8.G.B.7 In this activity, students explore a special kind of tiling of the plane that involves similar figures and scale factors. Rep‑tiles are geometric figures in which 𝑛 copies can be tiled to form a larger, similar figure. Students begin by exploring simple reptiles before examining more complex shapes. The activity culminates with students drawing and then examining characteristics of the \(1-2-\sqrt{5}\) right triangle reptile. Outside of the Box Geometry: Reptiles

Printable PDFs Common Core Standards Description Related Course Content VOLUME [Printable PDF] CCSS.MATH.CONTENT.8.G.C.9 This activity explores the volumes of cylinders, cones, spheres, and how the three quantities are related. Students examine how changing the radius or height of these figures impacts volume. They compare relative volumes between the figures. And lastly, in the culmination, students dive into a problem in which they determine volumes of water within nested cylindrical glasses. Mathematical Fundamentals: Volume

Printable PDFs Common Core Standards Description Related Course Content APPLYING THE PYTHAGOREAN THEOREM [Printable PDF] CCSS.MATH.CONTENT.8.G.B.7 These problems deepen students’ understanding of the Pythagorean theorem by presenting a diverse handful of its many applications. The problems begin with determining unknown side lengths in right triangles. Then, students explore various types of right triangle spirals. In the culmination, students use the Pythagorean theorem to compare the areas of figures inscribed in semicircles. Mathematical Fundamentals: The Pythagorean Theorem

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Quiz 8th-Graders With These Math Word Problems

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Solving math problems can intimidate eighth-graders . It shouldn't. 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 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 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 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 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 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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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
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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.

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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?

How to answer pythagorean theorem questions, pythagorean theorem in real life, pythagorean theorem in 8th grade, pythagorean theorem practice problems.

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

Wish you could have the 15 Pythagoras Theorem questions from this blog in a ready-to-go worksheet? We've done just that!

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

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.

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

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

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.

Math Games for 6th Graders [FREE]

On the lookout to make your math lessons fun and interactive while building math skills? Try our 6 printable math games for 6th graders.

Playable in pairs, teams or a whole class, our accompanying instructions and printable resources make preparation a breeze!

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• Green’s, Stokes’, and the divergence theorems
• First order differential equations
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Frequently Asked Questions about Khan Academy and Math Worksheets

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8th Grade Math (Pre-Algebra)

Build Confidence with Math Problem Solving

Daily Problem Solving will help your 8th grade students master the skills they need to be successful with challenging word problems...and have fun doing it .

What you'll get with this download:

Your download includes a full week of Daily Problem Solving for Grade 8 to try out in your own classroom. Developed with the brain in mind, these multi-step word problems will challenge your learners without overwhelming them. Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill.

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Themed-problems and a weekly fun fact make it easy to keep learners engaged

MINIMAL PREP

Formatted for quick & easy implementation that won't add stress to your planning

PRINT & DIGITAL

Includes both print and digital student options for added flexibility

I've been using this with my extremely anxious learner and it works wonders to build confidence because we see the improvement.

These have given me such an insight into my students' abilities, and I've watched them improve their skills and successfully solve multi-step word problems.

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STUDENT PRINTABLES

You'll receive a full week of printable Daily Problem Solving practice for your students. This format includes:

• Paper-saving format that fits a full week on one page
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Don’t wait, get started helping your learners master word problems today!

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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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Identifying Problems and Solutions in Reading & Writing: Discover a collection of free printable worksheets for Grade 8 students, designed to enhance their reading comprehension and writing skills.

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