grade 10 math assignment

Free Printable Math Worksheets for 10th Grade

Math just got more exciting for Grade 10 students! Discover a vast collection of free printable math worksheets by Quizizz, designed to help teachers enhance their students' learning experience and master essential skills.

Explore worksheets by Math topics

• Fundamentals and Building Blocks
• Equations and Inequalities
• System of Equations and Quadratic
• Complex Numbers
• Polynomial Operations
• Functions Operations
• Radical Expressions
• Rational Expressions
• Conic Sections
• Trigonometric Functions
• Statistics and Probabilities
• Sequences and Series
• arithmetic and number theory
• probability and statistics
• trigonometry

10th - 12th

10th - 11th

Explore Math Worksheets by Grades

• kindergarten

Explore Math Worksheets for grade 10 by Topic

Explore other subject worksheets for grade 10.

• social studies

Explore printable Math worksheets for 10th Grade

Math worksheets for Grade 10 are essential tools for teachers looking to help their students master the challenging concepts in high school mathematics. These worksheets cover a wide range of topics, including algebra, geometry, trigonometry, and probability, ensuring that students have ample practice in each area. Teachers can use these resources to supplement their lesson plans, provide extra practice for struggling students, or even as a basis for group activities in the classroom. By incorporating Grade 10 math worksheets into their curriculum, teachers can ensure that their students are well-prepared for the rigors of high school mathematics and beyond.

Quizizz is an excellent platform for teachers seeking to enhance their Grade 10 math curriculum with engaging and interactive content. In addition to offering a vast collection of Math worksheets for Grade 10, Quizizz also provides teachers with access to a wide variety of quizzes, games, and other educational resources. These materials can be easily integrated into the classroom, allowing teachers to create a dynamic and engaging learning environment for their students. Furthermore, Quizizz offers real-time feedback and analytics, enabling teachers to track student progress and identify areas where additional support may be needed. With Quizizz, teachers have a powerful tool at their disposal to help their Grade 10 students excel in mathematics.

• + ACCUPLACER Mathematics
• + ACT Mathematics
• + AFOQT Mathematics
• + ALEKS Tests
• + ASVAB Mathematics
• + ATI TEAS Math Tests
• + Common Core Math
• + DAT Math Tests
• + FSA Tests
• + FTCE Math
• + GED Mathematics
• + Georgia Milestones Assessment
• + GRE Quantitative Reasoning
• + HiSET Math Exam
• + HSPT Math
• + ISEE Mathematics
• + PARCC Tests
• + Praxis Math
• + PSAT Math Tests
• + PSSA Tests
• + SAT Math Tests
• + SBAC Tests
• + SIFT Math
• + SSAT Math Tests
• + STAAR Tests
• + TABE Tests
• + TASC Math
• + TSI Mathematics
• + ACT Math Worksheets
• + Accuplacer Math Worksheets
• + AFOQT Math Worksheets
• + ALEKS Math Worksheets
• + ASVAB Math Worksheets
• + ATI TEAS 6 Math Worksheets
• + FTCE General Math Worksheets
• + GED Math Worksheets
• + 3rd Grade Mathematics Worksheets
• + 4th Grade Mathematics Worksheets
• + 5th Grade Mathematics Worksheets
• + 6th Grade Math Worksheets
• + 7th Grade Mathematics Worksheets
• + 8th Grade Mathematics Worksheets
• + 9th Grade Math Worksheets
• + HiSET Math Worksheets
• + HSPT Math Worksheets
• + ISEE Middle-Level Math Worksheets
• + PERT Math Worksheets
• + Praxis Math Worksheets
• + PSAT Math Worksheets
• + SAT Math Worksheets
• + SIFT Math Worksheets
• + SSAT Middle Level Math Worksheets
• + 7th Grade STAAR Math Worksheets
• + 8th Grade STAAR Math Worksheets
• + THEA Math Worksheets
• + TABE Math Worksheets
• + TASC Math Worksheets
• + TSI Math Worksheets
• + AFOQT Math Course
• + ALEKS Math Course
• + ASVAB Math Course
• + ATI TEAS 6 Math Course
• + CHSPE Math Course
• + FTCE General Knowledge Course
• + GED Math Course
• + HiSET Math Course
• + HSPT Math Course
• + ISEE Upper Level Math Course
• + SHSAT Math Course
• + SSAT Upper-Level Math Course
• + PERT Math Course
• + Praxis Core Math Course
• + SIFT Math Course
• + 8th Grade STAAR Math Course
• + TABE Math Course
• + TASC Math Course
• + TSI Math Course
• + Number Properties Puzzles
• + Algebra Puzzles
• + Geometry Puzzles
• + Intelligent Math Puzzles
• + Ratio, Proportion & Percentages Puzzles
• + Other Math Puzzles

Grade 10 Math Worksheets: FREE & Printable

Looking for FREE printable Math Worksheets and exercises for grade 10 to help you or your students review and practice grade 10 Math concepts and topics?

Want grade 10 Math practice questions and activities to measure your students’ exam readiness? Need comprehensive Grade 10 Math worksheets for your Grade 10 Math students? If so, then look no further.

Here is a perfect and comprehensive collection of FREE printable grade 10 Math worksheets that would help you or your students in grade 10 Math preparation and practice.

Download our FREE Mathematics worksheets for the 10th grade.

Hope you enjoy it!

IMPORTANT: COPYRIGHT TERMS: Worksheets may not be uploaded to the internet, including classroom/personal websites or network drives. You can download the worksheets and print as many as you need. You can distribute the printed copies to your students, teachers, tutors, and friends. 

You Do NOT have permission to send these worksheets to anyone in any way (via email, text messages, or other ways). They MUST download the worksheets themselves. You can send the address of this page to your students, tutors, friends, etc.

Image from Depositphotos

Related Topics

• Grade 9 Mathematics Worksheets
• Grade 8 Mathematics Worksheets
• Grade 7 Mathematics Worksheets
• Grade 6 Mathematics Worksheets

The Absolute Best Book to Ace the Algebra 2 Test

Algebra II for Beginners The Ultimate Step by Step Guide to Acing Algebra II

Grade 10 math concepts, fundamentals and building blocks.

• The Order of Operations
• Scientific Notation
• Exponents Operations
• Evaluating Expressions
• Simplifying Algebraic Expressions

Equations and Inequalities

• One–Step Equations
• Multi–Step Equations
• Graphing Single–Variable Inequalities
• One–Step Inequalities
• Multi-Step Inequalities

System of Equations and Quadratic

• Systems of Equations
• Systems of Equations Word Problems
• Systems of 3 Variable Equations
• Solving a Quadratic Equation
• Quadratic Formula and the Discriminant
• Solving Quadratic Inequalities
• Graphing Quadratic Functions

Complex Numbers

• Adding and Subtracting Complex Numbers
• Multiplying and Dividing Complex Numbers
• Graphing Complex Numbers
• Rationalizing Imaginary Denominators
• Adding and Subtracting Matrices
• Matrix Multiplication
• Finding Determinants of a Matrix
• Finding Inverse of a Matrix
• Matrix Equations

Polynomial Operations

• Writing Polynomials in Standard Form
• Simplifying Polynomials
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Multiplying and Dividing Monomials
• Multiplying a Polynomial and a Monomial
• Multiplying Binomials
• Factoring Trinomials
• Operations with Polynomials

Functions Operations

• Evaluating Function
• Adding and Subtracting Functions
• Multiplying and Dividing Functions
• Composition of Functions
• Rewriting Logarithms
• Evalu ating Logarithms
• Properties of Logarithms
• Natural Logarithms
• Exponential Equations and Logarithms
• Solving Logarithmic Equations

Radical Expressions

• Simplifying Radical Expressions
• Multiplying Radical Expressions
• Simplifying Radical Expressions Involving Fractions
• Adding and Subtracting Radical Expressions
• Domain and Range of Radical Functions
• Solving Radical Equations

Rational Expressions

• Simplifying and Graphing Rational Expressions
• Adding and Subtracting Rational Expressions
• Multiplying and Dividing Rational Expressions
• Solving Rational Equations and Complex Fractions

Conic Sections

• Finding the Equation of a Parabola
• Finding the Focus, Vertex, and Directrix of a Parabola
• Writing the Equation of a Hyperbola in Standard Form
• Classifying a Conic Section (in Standard Form)

Trigonometric Functions

• Trig Ratios of General Angles
• Sketch Each Angle in Standard Position
• Finding Co-Terminal Angles and Reference Angles
• Angles and Angle Measure
• Evaluating Trigonometric Functions
• Missing Sides and Angles of a Right Triangle
• Arc Length and Sector Area

Statistics and Probabilities

• Probability Problems
• Combinations and Permutations

Sequences and Series

• Arithmetic Sequences
• Geometric Sequences
• Comparing Arithmetic and Geometric Sequences
• Finite Geometric Series
• Infinite Geometric Series

Best Algebra Prep Resource

The Ultimate Algebra Bundle From Pre-Algebra to Algebra II

Grade 10 math practice questions, fractions and decimals, real numbers and integers, proportions and ratios, algebraic expressions, linear functions, polynomials, exponents and radicals, solid figures.

Looking for the best resource to help you succeed on the Grade 10 Math test?

The Best Books to Ace the Algebra Course

College Algebra Practice Workbook The Most Comprehensive Review of College Algebra

10 full length clep college algebra practice tests the practice you need to ace the clep college algebra test, algebra i for beginners the ultimate step by step guide to acing algebra i.

by: Effortless Math Team about 3 years ago (category: Blog , Free Math Worksheets )

Effortless Math Team

Related to this article, more math articles.

• Estimating Differences
• Innovative Forecasts: Population Models are Predicting the Future
• The Ultimate 6th Grade RICAS Math Course (+FREE Worksheets)
• 10 Most Common 3rd Grade Georgia Milestones Assessment System Math Questions
• 8th Grade PACE Math Worksheets: FREE & Printable
• Unlocking the Secrets of Inscribed Polygons
• How is the TExES Core Subjects Scored?
• Full-Length 8th Grade MCAS Math Practice Test-Answers and Explanations
• PSAT Math Practice Test Questions
• FREE 7th Grade MEAP Math Practice Test

What people say about "Grade 10 Math Worksheets: FREE & Printable - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

Leave a Reply Cancel reply

You must be logged in to post a comment.

Pre-Algebra Practice Workbook The Most Comprehensive Review of Pre-Algebra

Algebra i practice workbook the most comprehensive review of algebra 1, algebra ii practice workbook the most comprehensive review of algebra 2, high school algebra i a comprehensive review and step-by-step guide to mastering high school algebra 1.

• ATI TEAS 6 Math
• ISEE Upper Level Math
• SSAT Upper-Level Math
• Praxis Core Math
• 8th Grade STAAR Math

Limited time only!

Save Over 45 %

It was $89.99 now it is $49.99

Login and use all of our services.

Effortless Math services are waiting for you. login faster!

Register Fast!

Password will be generated automatically and sent to your email.

After registration you can change your password if you want.

• Math Worksheets
• Math Courses
• Math Topics
• Math Puzzles
• Math eBooks
• GED Math Books
• HiSET Math Books
• ACT Math Books
• ISEE Math Books
• ACCUPLACER Books
• Premium Membership
• Youtube Videos

Effortless Math provides unofficial test prep products for a variety of tests and exams. All trademarks are property of their respective trademark owners.

• Bulk Orders
• Refund Policy

• Skip to main content
• Skip to primary sidebar
• Skip to footer

Additional menu

Khan Academy Blog

Free Math Worksheets — Over 100k free practice problems on Khan Academy

Looking for free math worksheets.

You’ve found something even better!

That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!

Just choose your grade level or topic to get access to 100% free practice questions:

Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.

• Trigonometry

Statistics and probability

High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

• Addition and subtraction
• Place value (tens and hundreds)
• Addition and subtraction within 20
• Addition and subtraction within 100
• Addition and subtraction within 1000
• Measurement and data
• Counting and place value
• Measurement and geometry
• Place value
• Measurement, data, and geometry
• Add and subtract within 20
• Add and subtract within 100
• Add and subtract within 1,000
• Money and time
• Measurement
• Intro to multiplication
• 1-digit multiplication
• Addition, subtraction, and estimation
• Intro to division
• Understand fractions
• Equivalent fractions and comparing fractions
• More with multiplication and division
• Arithmetic patterns and problem solving
• Quadrilaterals
• Represent and interpret data
• Multiply by 1-digit numbers
• Multiply by 2-digit numbers
• Factors, multiples and patterns
• Add and subtract fractions
• Multiply fractions
• Understand decimals
• Plane figures
• Measuring angles
• Area and perimeter
• Units of measurement
• Decimal place value
• Add decimals
• Subtract decimals
• Multi-digit multiplication and division
• Divide fractions
• Multiply decimals
• Divide decimals
• Powers of ten
• Coordinate plane
• Algebraic thinking
• Converting units of measure
• Properties of shapes
• Ratios, rates, & percentages
• Arithmetic operations
• Negative numbers
• Properties of numbers
• Variables & expressions
• Equations & inequalities introduction
• Data and statistics
• Negative numbers: addition and subtraction
• Negative numbers: multiplication and division
• Fractions, decimals, & percentages
• Rates & proportional relationships
• Expressions, equations, & inequalities
• Numbers and operations
• Solving equations with one unknown
• Linear equations and functions
• Systems of equations
• Geometric transformations
• Data and modeling
• Volume and surface area
• Pythagorean theorem
• Transformations, congruence, and similarity
• Arithmetic properties
• Factors and multiples
• Reading and interpreting data
• Negative numbers and coordinate plane
• Ratios, rates, proportions
• Equations, expressions, and inequalities
• Exponents, radicals, and scientific notation
• Foundations
• Algebraic expressions
• Linear equations and inequalities
• Graphing lines and slope
• Expressions with exponents
• Quadratics and polynomials
• Equations and geometry
• Algebra foundations
• Solving equations & inequalities
• Working with units
• Linear equations & graphs
• Forms of linear equations
• Inequalities (systems & graphs)
• Absolute value & piecewise functions
• Exponents & radicals
• Exponential growth & decay
• Quadratics: Multiplying & factoring
• Quadratic functions & equations
• Irrational numbers
• Performing transformations
• Transformation properties and proofs
• Right triangles & trigonometry
• Non-right triangles & trigonometry (Advanced)
• Analytic geometry
• Conic sections
• Solid geometry
• Polynomial arithmetic
• Complex numbers
• Polynomial factorization
• Polynomial division
• Polynomial graphs
• Rational exponents and radicals
• Exponential models
• Transformations of functions
• Rational functions
• Trigonometric functions
• Non-right triangles & trigonometry
• Trigonometric equations and identities
• Analyzing categorical data
• Displaying and comparing quantitative data
• Summarizing quantitative data
• Modeling data distributions
• Exploring bivariate numerical data
• Study design
• Probability
• Counting, permutations, and combinations
• Random variables
• Sampling distributions
• Confidence intervals
• Significance tests (hypothesis testing)
• Two-sample inference for the difference between groups
• Inference for categorical data (chi-square tests)
• Advanced regression (inference and transforming)
• Analysis of variance (ANOVA)
• Scatterplots
• Data distributions
• Two-way tables
• Binomial probability
• Normal distributions
• Displaying and describing quantitative data
• Inference comparing two groups or populations
• Chi-square tests for categorical data
• More on regression
• Prepare for the 2020 AP®︎ Statistics Exam
• AP®︎ Statistics Standards mappings
• Polynomials
• Composite functions
• Probability and combinatorics
• Limits and continuity
• Derivatives: definition and basic rules
• Derivatives: chain rule and other advanced topics
• Applications of derivatives
• Analyzing functions
• Parametric equations, polar coordinates, and vector-valued functions
• Applications of integrals
• Differentiation: definition and basic derivative rules
• Differentiation: composite, implicit, and inverse functions
• Contextual applications of differentiation
• Applying derivatives to analyze functions
• Integration and accumulation of change
• Applications of integration
• AP Calculus AB solved free response questions from past exams
• AP®︎ Calculus AB Standards mappings
• Infinite sequences and series
• AP Calculus BC solved exams
• AP®︎ Calculus BC Standards mappings
• Integrals review
• Integration techniques
• Thinking about multivariable functions
• Derivatives of multivariable functions
• Applications of multivariable derivatives
• Integrating multivariable functions
• Green’s, Stokes’, and the divergence theorems
• First order differential equations
• Second order linear equations
• Laplace transform
• Vectors and spaces
• Matrix transformations
• Alternate coordinate systems (bases)

Frequently Asked Questions about Khan Academy and Math Worksheets

Why is khan academy even better than traditional math worksheets.

Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.

What do Khan Academy’s interactive math worksheets look like?

Here’s an example:

What are teachers saying about Khan Academy’s interactive math worksheets?

“My students love Khan Academy because they can immediately learn from their mistakes, unlike traditional worksheets.”

Is Khan Academy free?

Khan Academy’s practice questions are 100% free—with no ads or subscriptions.

What do Khan Academy’s interactive math worksheets cover?

Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.

Is Khan Academy a company?

Khan Academy is a nonprofit with a mission to provide a free, world-class education to anyone, anywhere.

Want to get even more out of Khan Academy?

Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.

Get Khanmigo

The best way to learn and teach with AI is here. Ace the school year with our AI-powered guide, Khanmigo. 

For learners     For teachers     For parents

• Grade 10 / Grade 10 – Past Papers (All Subjects)

Grade 10 Past Papers & Memos – Mathematical Literacy

by Editorial Team · Published December 15, 2021 · Updated June 13, 2023

Are you in need of Grade 10 Past Papers & Memos – Mathematical Literac y? It can be a challenge to look for the latest question papers and their respective memorandums, let alone study Guides.

See the downloadable link below for your required past exam paper with the memorandum. These past papers are for learners in grade 10. This content is designed to assist the  end-user with the Department of education syllabus. Go ahead and click on the following link(s) below in order to download the required. Grade 10 Past Papers & Memos.

Please note: These question papers and their respective memorandums are free for public use. In no way are the provided papers for sales or distribution for coursework.

Maths101 will also not partake in requested student essays or assist others in doing student work for remuneration. Our website strives to make complex information, simple to understand for the general public. Please see below Grade 10 Past Papers & Memos.

The below question papers and their memorandum contain subject matter pertaining to trigonometry, financial maths, statistics, probability, analytical geometry, solving for x and many more problems. If you strive to get the best results, the development team recommends testing yourself with the question paper and checking your results vs the respective memorandum. This is one of the best methods in achieving academic success.

Grade 10 Past Papers & Memos – Mathematical Literacy

Mathematical literacy – 2018 – grade 10, mathematical literacy – 2019 – grade 10, mathematical literacy – 2020 – grade 10.

Our development team hope you enjoy the content provided. Please leave us a comment below should you have any queries or concerns. This content is designed to assist the  end-user with the Department of education syllabus.

Please note: Should you not be able to find the necessary memorandum for the desired question paper. Please take the question paper to your teacher and discuss the complex concepts in more detail.

We hop e you enjoy it.

Tags: Grade 10 literacy Mathematical Literacy Memos Past Papers

You may also like...

Grade 10 Past Papers & Memos – Life Sciences

December 15, 2021

 by Editorial Team · Published December 15, 2021 · Last modified June 13, 2023

Grade 10 Past Papers & Memos – Mathematics

Grade 10 Past Papers & Memos – Agricultural Sciences

December 14, 2021

 by Editorial Team · Published December 14, 2021 · Last modified June 13, 2023

• Next story  Grade 10 Past Papers & Memos – Physical Sciences
• Previous story  Grade 10 Past Papers & Memos – Mathematics

MPM2D: PRINCIPLES OF MATHEMATICS GRADE 10 , ACADEMIC SAMPLE EXERCISES ☰ Menu: Click to navigate this page

Linear systems.

• Graphical method
• Substitution method
• Elimination method
• Consistency vs inconsistency

Analytic geometry

• Midpoint of a line segment
• Length of a line segment
• Median of a triangle
• Right bisectors
• Equation of a circle

Properties of quadratic relations

• Graphing quadratics
• Transformations of the parent quadratic
• Sketching quadratics by hand
• Equation of a parabola

Applications of quadratic relations

• Expanding binomials
• Factoring quadratics
• Factors and x-intercepts
• Real and non-real roots
• Completing the square
• Solving quadratic equations
• Some word problems involving quadratics

Exercises on trigonometry

• ASSIGNMENT on trigonometry
• QUIZ on similar triangles
• Sample TEST on trigonometry
• Class exercise (#22) on applications of similar triangles
• Class exercise (#23) on applications of right triangles
• Class exercise (#24) on applications of oblique triangles

Sample Final Exam

• Sample final exam

Exercises on linear systems

• ASSIGNMENT on linear systems using elimination
• QUIZ on linear systems
• Sample TEST on linear systems
• Class exercise (#1) on graphical solution of linear systems
• Class exercise (#2) on substitution method
• Class exercise (#3) on elimination method
• Class exercise (#4) on some application of linear systems

Exercises on analytic geometry

• ASSIGNMENT on analytic geometry
• Another ASSIGNMENT on analytic geometry
• Sample TEST on analytic geometry
• Class exercise (#5) on length of a line segment
• Class exercise (#6) on midpoint of a line segment
• Class exercise (#7) on bisectors and medians
• Class exercise (#8) on some geometric properties
• Class exercise (#9) on equation of a circle

Exercises on properties of quadratic relations

• ASSIGNMENT on quadratic relations
• QUIZ on quadratic relations
• Sample TEST on quadratic relations
• Class exercise (#10) on graphing quadratics
• Class exercise (#11) on key features of a parabola
• Class exercise (#12) on transformations of the parent quadratic
• Class exercise (#13) on sketching parabolas by hand
• Class exercise (#14) on equation of a parabola

Exercises on applications of quadratic relations

• ASSIGNMENT on factoring quadratics
• Another ASSIGNMENT on quadratic equations and applications
• Sample TEST on quadratic equations and applications
• Class exercise (#15) on expanding binomials
• Class exercise (#16) on factoring quadratics
• Class exercise (#17) on connecting factors and x-intercepts
• Class exercise (#18) on real and non-real roots
• Class exercise (#19) on completing the square
• Class exercise (#20) on sketching quadratics
• Class exercise (#21) on solving quadratic equations

Maybe you've experienced this as a teacher (irrespective of your teaching subject). You designed a home work or an assignment. You printed copies and distributed to your students. You gave them a day to submit the work. The day arrived. Then a particular student -- or some students -- didn't do the work. You asked why? In response, the student mentioned that (inadvertently) the work was misplaced (or lost). The student then asked for another copy of the exercise. You, the teacher, obliged and gave another copy of the exercise to the student. The incidence then repeats itself. This is one of the excuses some students give for not doing the exercises assigned to them. From our personal perspective, not many classroom experiences frustrate as much as the above. In a bid to obviate this, we came up with this website -- our initial objective was to make all exercises available to our students outside the classroom (and school) environment. Our approach may have been a drastic one, but it was also made possible by our interest in web development. We then have to print our exercises ONCE and only ONCE. If the student misplaces (or loses) the copy of the exercise, it is then the student's responsibility to print new copies from our website. It will follow that most of the exercises below reflect our teaching taste, and so may not appeal to a wide audience. In fact, they are patterned after the Ontario curriculum, and so their possible usefulness may be limited to this Canadian province. Also, we haven't provided solutions to them -- but we're working on this, including changing the format. In the meantime if you find any of these exercises useful, we'll be more than excited.

• NCERT Solutions
• NCERT Solutions for Class 10

NCERT Solutions for Class 10 Maths

Ncert solutions for class 10 maths updated for 2023-24 session – free pdf download.

The answers to the questions present in the NCERT books are undoubtedly the best study material a student can get hold of. These CBSE NCERT Solutions for Class 10 Maths 2023-24 will also help students to build a deeper understanding of concepts covered in the textbook. Practising the textbook questions will help students analyse their level of preparation and knowledge of concepts. The solutions to these questions present in the NCERT books can help students to clear their doubts quickly.

NCERT Solutions Class 10 Maths Chapters NCERT Solutions Class 10 Maths Chapter Details CBSE Class 10 Maths Exam Pattern 2023-2024 CBSE Class 10 Chapter-wise Marks Weightage CBSE Question Paper Design

NCERT Solutions Class 10 Maths Chapters

• Chapter 1 Real Numbers
• Chapter 2 Polynomials
• Chapter 3 Pair of Linear Equations in Two Variables
• Chapter 4 Quadratic Equations
• Chapter 5 Arithmetic Progressions
• Chapter 6 Triangles
• Chapter 7 Coordinate Geometry
• Chapter 8 Introduction to Trigonometry
• Chapter 9 Some Applications of Trigonometry
• Chapter 10 Circles
• Chapter 11 Areas Related to Circles
• Chapter 12 Surface Areas and Volumes
• Chapter 13 Statistics
• Chapter 14 Probability

The following are the chapters that have been removed from the NCERT Class 10 Maths textbook 2023-24.

Constructions

NCERT Solutions for Class 10 Maths Free PDF Download

NCERT Solutions of Class 10 Maths list comprises all the chapter-wise answers to the questions present in the NCERT Book for Class 10 Maths, written in a very precise and lucid manner, maintaining the objective of textbooks. The students can refer to the  NCERT Solutions for Class 10 as their additional references and study materials. Practising NCERT textbook exercise solutions will surely help the students in their preparation for the examination.

NCERT Solutions Class 10 Maths Chapter Details and Exercises

Ncert solutions for class 10 maths chapter 1 real numbers.

In Chapter 1 of Class 10, students will explore real numbers and irrational numbers. The chapter starts with the Euclid’s Division Lemma, which states that “Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r<b”. The Euclid’s Division algorithm is based on this lemma and is used to calculate the HCF of two positive integers. Then, the Fundamental Theorem of Arithmetic is defined, which is used to find the LCM and HCF of two positive integers. After that, the concept of an irrational number, a rational number and the decimal expansion of rational numbers are explained with the help of the theorem.

Topics Covered in Class 10 Maths Chapter 1 Real Numbers :

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5

Important Steps –

To obtain the HCF of two positive integers, say c and d, with c > d, follow the steps below:

Step 1: Apply Euclid’s division lemma to c and d. So, we find whole numbers, q and r, such that c = dq + r, 0 ≤ r < d.

Step 2: If r = 0, d is the HCF of c and d. If r ≠ 0, apply the division lemma to d and r.

Step 3: Continue the process till the remainder is zero. The divisor at this stage will be the required HCF. This algorithm works because HCF (c, d) = HCF (d, r), where the symbol HCF (c, d) denotes the HCF of c and d, etc.

Also, access the following resources for NCERT Class 10 Chapter 1 Real Numbers, at BYJU’S:

• NCERT Real Numbers Class 10 Notes
• Real Numbers Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Real Numbers
• RD Sharma Solutions Real Numbers Class 10

Which is the best app for learning math?

What you just saw was your guide to all the solutions to the exercises in Chapter 1 – Real numbers in the NCERT class 10 math textbook. To learn this and other concepts clearly, and in detail through engaging videos, get BYJU’S The Learning App for grade 10. 

For math, the grade 10 BYJU’S The Learning App has:

• 80+ math video lessons (1800+ minutes of content!)
• Coverage of your school syllabus
• 50+ gamified interactive learning experiences
• Important questions
• Summary cards to revise formulae
• Practice tests
• 24 X 7 access to learning resources

BYJU’S The Learning App for grade 10 also covers Physics, Chemistry, Biology, Economics, Civics, History, and Geography content. 

Click here to know more about why BYJU’S The Learning App is the best app for learning math.

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

In Polynomials , the chapter begins with the definition of the degree of the polynomial, linear polynomial, quadratic polynomial and cubic polynomial. This chapter has a total of 4 exercises, including an optional exercise. Exercise 2.1 includes questions on finding the number of zeroes through a graph. It requires an understanding of the Geometrical Meaning of the Zeroes of a Polynomial. Exercise 2.2 is based on the Relationship between Zeroes and Coefficients of a Polynomial, where students have to find the zeros of a quadratic polynomial and in some of the questions, they have to find the quadratic polynomial. In Exercise 2.3, the concept of the division algorithm is defined, and students will find the questions related to it. The optional exercise, 2.4, consists of the questions from all the concepts of Chapter 2.

Topics Covered in Class 10 Maths Chapter 2 Polynomials :

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

We first arrange the terms of the dividend and the divisor in the decreasing order of their degrees. Recall that arranging the terms in this order is called writing the polynomials in standard form.

Step 1: To obtain the first term of the quotient, divide the highest degree term of the dividend by the highest degree term of the divisor. Then carry out the division process.

Step 2: Now, to obtain the second term of the quotient, divide the highest degree term of the new dividend by the highest degree term of the divisor. Again, carry out the division process.

Step 3: Now, the degree of the remainder is less than the degree of the divisor. So, we cannot continue the division any further.

Here again, we see that Dividend = Divisor × Quotient + Remainder. What we are applying here is an algorithm which is similar to Euclid’s division algorithm that you studied in Chapter 1.

This says that

If p(x) and g(x) are any two polynomials with g(x) ≠ 0, then we can find polynomials q(x) and r(x) such that

p(x) = g(x) × q(x) + r(x),

where r(x) = 0 or degree of r(x) < degree of g(x).

This result is known as the Division Algorithm for polynomials.

Also, access the following resources for NCERT Class 10 Chapter 2 Polynomials, at BYJU’S:

• NCERT Polynomials Class 10 Notes
• Polynomials Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Polynomials
• RD Sharma Solutions Polynomials Class 10

NCERT Solutions of Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

This chapter explains the concept of Pair of Linear Equations in Two Variables . This chapter has a total of 7 exercises, and in these exercises, different methods of solving the pair of linear equations are described. Exercise 3.1 describes how to represent a situation algebraically and graphically. Exercise 3.2 explains the methods of solving the pair of the linear equation through the Graphical Method. Exercises 3.3, 3.4, 3.5 and 3.6 describe the Algebraic Method, Elimination Method, Cross-Multiplication Method, and Substitution Method, respectively. Exercise 3.7 is an optional exercise which contains all types of questions. Students must practise these exercises to master the method of solving linear equations.

Topics Covered in Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables:

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.

Important Formulas –

The general form for a pair of linear equations in two variables, x and y, is

a 1 x + b 1 y + c 1 = 0

and a 2 x + b 2 y + c 2 = 0,

where a 1 , b 1 , c 1 , a 2 , b 2 , c 2 are all real numbers and a 1 2 + b 1 2 ≠ 0, a 2 2 + b 2 2 ≠ 0.

Also, access the following resources for NCERT Class 10 Chapter 3 Pair of Linear Equations in Two Variables, at BYJU’S:

• NCERT Pair of Linear Equations in Two Variables Class 10 Notes
• Pair of Linear Equations in Two Variables Class 10 Important Questions ,
• NCERT Exemplar Solutions Class 10 Pair of Linear Equations in Two Variables
• RD Sharma Solutions Pair of Linear Equations in Two Variables Class 10

NCERT Solutions of Class 10 Maths Chapter 4 Quadratic Equations

In this chapter, students will get to know the standard form of writing a Quadratic Equation . The chapter goes on to explain the method of solving the quadratic equation through the factorization method and completing the square method. The chapter ends with the topic on finding the nature of roots, which states that a quadratic equation ax² + bx + c = 0 has

• Two distinct real roots, if b² – 4ac > 0
• Two equal roots, if b² – 4ac = 0
• No real roots, if b² – 4ac < 0

Topics Covered in Class 10 Maths Chapter 4 Quadratic Equations :

The standard form of a quadratic equation ax 2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization and by using the quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day-to-day activities are to be incorporated.

If b 2 – 4ac > 0, we get two distinct real roots

If b 2 – 4ac = 0, then

So, the roots of the equation ax 2 + bx + c = 0 are both -b/2a.

Therefore, we say that the quadratic equation ax 2 + bx + c = 0 has two equal real roots in this case.

If b 2 – 4ac < 0, then there is no real number whose square is b 2 – 4ac. Therefore, there are no real roots for the given quadratic equation in this case.

Since b 2 – 4ac determines whether the quadratic equation ax 2 + bx + c = 0 has real roots or not, b 2 – 4ac is called the discriminant of this quadratic equation.

So, a quadratic equation ax 2 + bx + c = 0 has

(i) two distinct real roots, if b 2 – 4ac > 0,

(ii) two equal real roots, if b 2 – 4ac = 0,

(iii) no real roots, if b 2 – 4ac < 0.

Also, access the following resources for NCERT Class 10 Chapter 4 Quadratic Equations, at BYJU’S:

• NCERT Quadratic Equations Class 10 Notes
• Quadratic Equations Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Quadratic Equations
• RD Sharma Solutions Quadratic Equations Class 10

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions

This chapter introduces students to a new topic, Arithmetic Progression , i.e. AP. The chapter constitutes a total of 4 exercises. In Exercise 5.1, students will find the questions related to representing a situation in the form of AP, finding the first term and difference of an AP, finding out whether a series is AP or not. Exercise 5.2 includes the questions on finding out the nth term of an AP by using the following formula:

a n  = a + (n-1) d

The next exercise, i.e. 5.3, contains the questions on finding the sum of the first n terms of an AP. The last exercise includes higher-level questions based on AP to enhance students’ analytical and problem-solving skills.

Topics Covered in Class 10 Maths Chapter 5 Arithmetic Progressions :

Motivation for studying Arithmetic Progression Derivation of the n th term and sum of the first n terms of A.P. and their application in solving daily life problems.

If a 1 , a 2 , a 3 , a 4 , a 5 , a 6 , …  are the terms of AP and d is the common difference between each term, then we can write the sequence as; a ,  a+d, a+2d, a+3d, a+4d, a+5d,…., nth term… where a is the first term. Now, n th  term for arithmetic progression is given as;

n th  term = a + (n-1) d

Sum of the first n terms in Arithmetic Progression;

S n  = n/2 [2a + (n-1) d]

Also, access the following resources for NCERT Class 10 Chapter 5 Arithmetic Progressions, at BYJU’S:

• NCERT Arithmetic Progressions Class 10 Notes
• Arithmetic Progressions Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Arithmetic Progressions
• RD Sharma Solutions Arithmetic Progressions Class 10

NCERT Solutions for Class 10 Maths Chapter 6 Triangles

In Chapter 6 of Class 10 CBSE Maths, students will study those figures which have the same shape, but not necessarily the same size. The chapter Triangles starts with the concept of a similar and congruent figure. It further explains the condition for the similarity of two triangles and theorems related to the similarity of triangles. After that, the areas of similar triangles have been explained with a theorem. At the end of this chapter, the Pythagoras Theorem and the Converse of Pythagoras Theorem are described.

Topics Covered in Class 10 Maths Chapter 6 Triangles :

Definitions, examples, and counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional, and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal, and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

Important Theorems –

Theorem 6.1: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Theorem 6.2: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Theorem 6.3: If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are similar.

Theorem 6.4: If in two triangles, the sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal, and hence the two triangles are similar.

Theorem 6.5: If one angle of a triangle is equal to one angle of the other triangle and the sides, including these angles, are proportional, then the two triangles are similar.

Theorem 6.6: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Theorem 6.7: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

Theorem 6.8: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Theorem 6.9: In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

Also, access the following resources for NCERT Class 10 Chapter 6 Triangles, at BYJU’S:

• NCERT Triangles Class 10 Notes
• Triangles Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Triangles
• RD Sharma Solutions Triangles Class 10

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

In this chapter, students will learn how to find the distance between two points whose coordinates are given, and to find the area of the triangle formed by three given points. Along with this, students will also study how to find the coordinates of the point which divides a line segment joining two given points in a given ratio. For this purpose, students will get introduced to the Distance Formula, Section Formula and Area of a Triangle in this chapter on Coordinate Geometry .

Topics Covered in Class 10 Maths Chapter 7 Coordinate Geometry :

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

Distance Formula

Section Formula

Also, access the following resources for NCERT Class 10 Chapter 7 Coordinate Geometry, at BYJU’S:

• NCERT Coordinate Geometry Class 10 Notes
• Coordinate Geometry Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Coordinate Geometry
• RD Sharma Solutions Coordinate Geometry Class 10

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry

This chapter will introduce students to Trigonometry . They will study some ratios of a right triangle with respect to its acute angles, called trigonometric ratios of the angles. The chapter also defines the trigonometric ratios for angles of 0 0 and 90 0 . Further, students will also know how to calculate trigonometric ratios for some specific angles and establish some identities involving these ratios, called trigonometric identities.

Topics Covered in Class 10 Maths Chapter 8 Introduction to Trigonometry :

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0 o and 90 o . Values of the trigonometric ratios of 30 0 , 45 0 and 60 0 . Relationships between the ratios. TRIGONOMETRIC IDENTITIES Proof and applications of the identity sin 2 A + cos 2 A = 1. Only simple identities to be given

Trigonometry Maths formulas for Class 10 cover three major functions Sine, Cosine and Tangent for a right-angle triangle. Let a right-angled triangle ABC is right-angled at point B and have ∠θ.

Sin θ= \(\begin{array}{l}\frac{Side\, opposite\, to\, angle\, \theta}{Hypotenuse}\end{array} \) = \(\begin{array}{l}\frac{Perpendicular}{Hypotenuse}\end{array} \) = P/H

Cos θ = \(\begin{array}{l}\frac{Adjacent\, side\, to\, angle\, \theta}{Hypotenuse}\end{array} \) = \(\begin{array}{l}\frac{Base}{Hypotenuse}\end{array} \) = B/H

Tan θ = \(\begin{array}{l}\frac{Side\, opposite\, to\, angle\, \theta}{Adjacent\, side\, to\, angle\, \theta}\end{array} \) = P/B

Trigonometry Table

Trigonometric Ratios of Complementary Angles

sin (90° – A) = cos A,

cos (90° – A) = sin A,

tan (90° – A) = cot A,

cot (90° – A) = tan A,

sec (90° – A) = cosec A,

cosec (90° – A) = sec A

sin 2 A + cos 2 A = 1,

sec 2 A – tan 2 A = 1 for 0° ≤ A < 90°,

cosec 2 A = 1 + cot 2 A for 0° < A ≤ 90°

Also, access the following resources for NCERT Class 10 Chapter 8 Trigonometry, at BYJU’S: 

• NCERT Introduction to Trigonometry Class 10 Notes
• Introduction to Trigonometry Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Introduction to Trigonometry
• RD Sharma Solutions Introduction to Trigonometry Class 10

NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry

This chapter is the continuation of the previous chapter; here, the students will study the applications of trigonometry . It is used in geography, navigation, construction of maps, and determining the position of an island in relation to the longitudes and latitudes. In this chapter, students will see how trigonometry is used for finding the heights and distances of various objects without actually measuring them. They will get introduced to the term line of sight, angle of elevation, and angle of depression.

Topics Covered in Class 10 Maths Chapter 9 Some Applications of Trigonometry:

HEIGHTS AND DISTANCES – Angle of elevation, Angle of Depression. Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, and 60°.

Important Points –

The line of sight is the line drawn from the eye of an observer to the point in the object viewed by the observer.

The angle of elevation of the point viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level, i.e. the case when we raise our head to look at the object.

The angle of depression of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is below the horizontal level, i.e. the case when we lower our head to look at the point being viewed.

You would need to know the following:

(i) The distance DE at which the student is standing from the foot of the minar

(ii) The angle of elevation, ∠ BAC, of the top of the minar

(iii) The height AE of the student.

Assuming that the above three conditions are known, how can we determine the height of the minar?

In the figure, CD = CB + BD. Here, BD = AE, which is the height of the student.

To find BC, we will use trigonometric ratios of ∠ BAC or ∠ A.

In ∆ ABC, the side BC is the opposite side in relation to the known ∠ A. Our search narrows down to using either tan A or cot A, as these ratios involve AB and BC.

Therefore, tan A = BC/AB or cot A = AB/BC, which on solving, would give us BC.

By adding AE to BC, you will get the height of the minar.

Also, access the following resources for NCERT Class 10 Chapter 9, Some Applications of Trigonometry, at BYJU’S: 

• NCERT Some Applications of Trigonometry Class 10 Notes
• Some Applications of Trigonometry Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Some Applications of Trigonometry
• RD Sharma Solutions Some Applications of Trigonometry Class 10

NCERT Solutions for Class 10 Maths Chapter 10 Circles

In earlier classes, students have studied about a circle and various terms related to a circle, such as a chord, segment, arc, etc. In this chapter, students will study the different situations that arise when a circle and a line are given in a plane. So, they will get thorough with the concept of Tangent to a Circle and Number of Tangents from a Point on a Circle.

Topics Covered in Class 10 Maths Chapter 10 Circles:

Tangent to a circle at point of contact 1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact. 2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Theorem 10.2: The lengths of tangents drawn from an external point to a circle are equal.

Number of Tangents from a Point on a Circle

Case 1: There is no tangent to a circle passing through a point lying inside the circle.

Case 2: There is one and only one tangent to a circle passing through a point lying on the circle.

Case 3: There are exactly two tangents to a circle through a point lying outside the circle.

Also, access the following resources for NCERT Class 10 Chapter 10 Circles at BYJU’S: 

• NCERT Circles Class 10 Notes
• Circles Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Circles
• RD Sharma Solutions Circles Class 10

NCERT Solutions for Class 10 Maths Chapter 11 Constructions

This chapter consists of a total of 2 exercises. Whatever students have learned about construction in earlier classes will also help them. In Exercise 11.1, students will study how to divide a line segment, whereas in Exercise 11.2, they will study the construction of tangents to a circle. Methods and steps for construction are explained, and also some examples are additionally given to make it clearer to the students.

Topics Covered in Class 10 Maths Chapter 11 Constructions :

1. Division of a line segment in a given ratio (internally). 2. Tangent to a circle from a point outside it. 3. Construction of a triangle similar to a given triangle.

Construction 11.1: To divide a line segment in a given ratio.

Construction 11.2: To construct a triangle similar to a given triangle as per the given scale factor.

Construction 11.3: To construct the tangents to a circle from a point outside it.

Also, access the following resources for NCERT Class 10 Chapter 11 Constructions, at BYJU’S:

• NCERT Constructions Class 10 Notes
• Constructions Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Constructions
• RD Sharma Solutions Constructions Class 10

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles

This chapter begins with the concepts of the perimeter and area of a circle. Using this concept, the chapter further explains how to find the area of sector and segment of a circular region. Moreover, students will get clarity on finding  the areas of some combinations of plane figures involving circles or their parts.

Topics Covered in Class 10 Maths Chapter 12 Areas Related to Circles :

Area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only.

circumference = 2πr

area of the circle = πr 2

Area of the sector of angle θ = (θ/360) × π r 2

Length of an arc of a sector of angle θ = (θ/360) × 2 π r where r is the radius of the circle

Also access the following resources for NCERT Class 10 Chapter 12 Areas Related to Circles at BYJU’S: 

• NCERT Areas Related to Circles Class 10 Notes
• Areas Related to Circles Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Areas Related to Circles
• RD Sharma Solutions Areas Related to Circles Class 10

NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes

In Chapter 13, there are a total of 5 exercises. The first exercise consists of questions based on finding the surface area of an object formed by combining any two of the basic solids, i.e. cuboid, cone, cylinder , sphere and hemisphere. In exercise 13.2, questions are based on finding the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere. Exercise 13.3 deals with the questions in which a solid is converted from one shape to another. Exercise 13.4 is based on finding the volume, curved surface area and total surface area of a frustum of a cone. The last exercise is optional and has high-level questions based on all the topics of this chapter.

Topics Covered in Class 10 Maths Chapter 13 Surface Areas and Volumes:

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

TSA of new solid = CSA of one hemisphere + CSA of cylinder + CSA of other hemisphere

Diameter of sphere = 2r

Surface area of sphere = 4 π r 2

Volume of Sphere = 4/3 π r 3

Curved surface area of Cylinder = 2 πrh

Area of two circular bases = 2 πr 2

Total surface area of Cylinder = Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr 2

Volume of Cylinder = π r 2  h

Slant height of cone = l = √(r 2  + h 2 )

Curved surface area of cone = πrl

Total surface area of cone = πr (l + r)

Volume of cone = ⅓ π r 2  h

Perimeter of cuboid = 4(l + b +h)

Length of the longest diagonal of a cuboid = √(l 2  + b 2  + h 2 )

Total surface area of cuboid = 2(l×b + b×h + l×h)

Volume of Cuboid = l × b × h

Also, access the following resources for NCERT Class 10 Chapter 13 Surface Areas and Volumes, at BYJU’S: 

• NCERT Surface Areas and Volumes Class 10 Notes
• Surface Areas and Volumes Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Surface Areas and Volumes
• RD Sharma Solutions Surface Areas and Volumes Class 10

NCERT Solutions for Class 10 Maths Chapter 14 Statistics

Here, students will learn the numerical representation of ungrouped data to grouped data and find the Mean, Mode and Median. Also, the concept of cumulative frequency, cumulative frequency distribution and how to draw cumulative frequency curves will be explained.

Topics Covered in Class 10 Maths Chapter 14 Statistics :

Mean, median and mode of grouped data (bimodal situation to be avoided).

The mean of the grouped data  can be found by 3 methods.

• Direct Method: x̅ = \(\begin{array}{l}\frac{\sum_{i=1}^{n}f_i x_i}{\sum_{i=1}^{n}f_i}\end{array} \) , where ∑f i x i is the sum of observations from value i = 1 to n And ∑f i is the number of observations from value i = 1 to n
• Assumed mean method : x̅ = \(\begin{array}{l}a+\frac{\sum_{i=1}^{n}f_i d_i}{\sum_{i=1}^{n}f_i}\end{array} \)
• Step deviation method : x̅ = \(\begin{array}{l}a+\frac{\sum_{i=1}^{n}f_i u_i}{\sum_{i=1}^{n}f_i}\times h\end{array} \)

The mode of grouped data:

The median for a grouped data:

Also, access the following resources for NCERT Class 10 Chapter 14 Statistics, at BYJU’S: 

• NCERT Statistics Class 10 Notes
• Statistics Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Statistics
• RD Sharma Solutions Statistics Class 10

NCERT Solutions for Class 10 Maths Chapter 15 Probability

The last chapter deals with Probability. The chapter starts with the theoretical approach of probability. Subsequently, the chapter explains the difference between  experimental probability and theoretical probability. There are various examples given to  explain it in a n effective way . So, before going through the exercise problems, students must solve the examples of CBSE Maths first.

Topics Covered in Class 10 Maths Chapter 15 Probability:

Classical definition of probability. Simple problems on finding the probability of an event.

• The theoretical probability (also called classical probability) of an event E, written as P(E), is defined as

where we assume that the outcomes of the experiment are equally likely.

• The probability of a sure event (or certain event) is 1.
• The probability of an impossible event is 0.
• The probability of an event E is a number P(E) such that 0 ≤ P (E) ≤ 1
• An event having only one outcome is called an elementary event. The sum of the probabilities of all the elementary events of an experiment is 1.

Also, access the following resources for NCERT Class 10 Chapter 15 Probability, at BYJU’S: 

• NCERT Probability Class 10 Notes
• Probability Class 10 Important Questions
• NCERT Exemplar Solutions Class 10 Probability
• RD Sharma Solutions Probability Class 10

NCERT Solutions for Class 10 Maths PDF in English Medium, as well as Hindi Medium (हिंदी मीडियम) for the academic year 2023-24, are followed by not only CBSE but also UP Board, Uttarakhand board and all other boards following NCERT Textbooks.

CBSE Class 10 Maths Chapter-wise Marks Weightage for 2023-24

 Internal Assessment Class 10

Benefits of NCERT Solutions Class 10 Maths:

The Class 10 NCERT Solutions of Maths given here in PDFs have several benefits, which include:

• The solutions given here are very easy-to-understand.
• Solutions are provided in steps for better understanding.
• Diagrams are given to help the students to visualise the solutions.
• All the questions from each chapter are covered.

Students are advised to prepare all the chapters covered in the solution modules, which will eventually help them to gain a deeper knowledge of concepts. For effective preparations, it is essential for students to understand all the steps provided in the solutions.

How are CBSE Class 10 Maths Solutions of NCERT Helpful for the Board Exams?

CBSE Class 10 Maths is an important subject for students. Here, we have provided complete assistance to students for their preparation. Class 10 is the first benchmark for any student that will reflect in future records of achievement. CBSE always prescribes the NCERT books for exam preparation.

Exam preparation is a rigorous process that requires an overall understanding of individual chapters. This process demands hard work towards studies and an effective approach to getting through the solutions. This significant role is played by NCERT 10 Class Maths Solutions to equip students in preparation for competitive entrance exams. NCERT books are best known for putting forth the concepts in a simple way for better understanding. NCERT Class 10 Books for Mathematics are written in the most lucid and clear manner that helps to break the complex problems in the most efficient way.

Keep visiting to get complete chapter-wise NCERT Solutions for Class 10 Maths PDF free download for all the classes. Students can also find the NCERT Solutions for Class 10 Science , at BYJU’S. Students can download BYJU’S App to get a personalised learning experience and prepare for the exams more effectively.

Frequently Asked Questions on NCERT Solutions for Class 10 Maths

How to grasp the important concepts covered in the ncert solutions for class 10 maths , will the ncert solutions for class 10 maths help me to solve problems easily, where will i get the ncert solutions for class 10 maths pdf, are the ncert solutions for class 10 maths useful for the students under the cbse board, how to get an idea about the important concepts in the ncert solutions for class 10 maths , is byju’s ncert solutions for class 10 maths important, is the ncert solutions for class 10 maths the best reference guide for cbse students.

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

Class 10 Maths Chapter 1 Assignments

Class 10 Maths Chapter 1 Real Numbers Assignments and Worksheets with solutions and answers updated for academic session 2024-25. All the chapter is divided into 4 assignments taking easy, average, and difficult questions. These set of questions provide a complete revision for the preparation of CBSE and State board exams 2024-25.

CBSE NCERT Class 10 Maths Chapter 1 Real Numbers Assignments

• Class 10 Maths Chapter 1 Real Numbers Assignments 1
• Class 10 Maths Chapter 1 Real Numbers Assignments 1 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 2
• Class 10 Maths Chapter 1 Real Numbers Assignments 2 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 3
• Class 10 Maths Chapter 1 Real Numbers Assignments 3 Solutions
• Class 10 Maths Chapter 1 Real Numbers Assignments 4
• Class 10 Maths Chapter 1 Real Numbers Assignments 4 Solutions
• Class 10 Maths Chapter 1 Real Numbers Solution Page

Download App for Class 10 all Subjects

There are 4 assignments and worksheets. Assignments contains MCQ, Fill in the Blanks, and True false questions. We have covered every topic in the chapter 1 of class 10 Maths. Answers and solutions of each assignment is also given free to use. Students can download these assignments and solve themselves. After solving they can check the answers given on website.

There are some easy questions based on understanding only. Some questions contains tricky methods and 17 percent questions are little bit difficult one. Students need to put effort to explore these questions. These assignments are guarantee to get good marks in exams. The questions based on Case Study will also be included in later chapters.

Download links are given for each assignments. Download and print it and solve it. Match the answers and solutions given on website to know the accuracy. Assignments are deign level wise, so do the first assignment first and the fourth assignment in the last.

Please suggest us, if any, about these assignments, so that we can improve the quality of the contents. We are preparing assignments for all the chapters. Gradually it will be uploaded before the final exams. Students are advised to solve these assignments to prepare the chapter and get confidence in topics.

Are assignments helpful in final exams?

Assignments are helpful in the revision of chapter as well as preparation for exams.

How many assignment should do to prepare the chapter?

At least 3 or 4 assignments which cover the entire chapter will be sufficient to know the chapter well.

How do solve the assignment?

Do yourself each assignment. If a part of assignment is not cleared or creating confusion, discuss with your classmate or teachers and solve it again.

Copyright 2024 by Tiwari Academy | A step towards Free Education

STANMORE SECONDARY

Exam Papers and Study Notes for grade 10 ,11 and 12

Maths(Grade 10)

Study notes, past year exam papers.

(updated 2024/06/15)

advertisement

Investigation March  QP & Memo

KZN  March  QP and Memo

FS  TEST 2 QP and Memo

FS TEST  QP and Memo

NW   Pre JUNE  QP only

KZN  June P1 and Memo

KZN  June P2 and Memo

FS   June  P1 and Memo

KZN  SEPT QP and Memo

LP March  QP and Memo

KZN  June  P1 and Memo

KZN June P2 and Memo

GP  June  P1 and Memo

GP  June  P2 and Memo

KZN  SEPT  QP and Memo

 NOV P1 and Memo

NOV  P2 and Memo

T 1 Investigation 2021 only

KZN March  QP and Memo  

FS  March  QP and Memo

LP  June   P1 and Memo

KZN June  QP and Memo 

KZN SEPT  QP and Memo  

NOV  P1 and Memo

April QP and Memo  

Local  April  QP only

June  QP and Memo

March QP + Memo

MARCH   QP and Memo

 June P1  and  Memo

June  P2  and  Memo

SEPT  QP  and Memo

NOV P1 and Memo

Nov-P2 and Memo

MARCH   QP and  MEMO

JUNE   QP  and  MEMO

SEPT  QP and  MEMO

NOV  P1  and MEMO

NOV P2   only

NOV P2  Answer Book

 Nov P2   Memo

MARCH  QP + MEMO

JUNE  QP  +  MEMO

SEPT  QP + MEMO

 NOV  P1  + MEMO

NOV P2   + MEMO

MARCH  QP+MEMO

DEPT – MARCH  QP+ MEMO

JUNE   QP+ MEMO

SEPT  QP+MEMO

NOV  P1 + MEMO

NOV  P2 + MEMO

JUNE   QP + MEMO

SEPT   QP + MEMO

NOV  P1    +  MEMO

 NOV P2    +  MEMO

• Mathematics

Mathematics Grade 10 Assignments and memos CAPS

Mathematics Grade 10 Assignments and memos CAPS South Africa: Content on this page will help you in your exams, tests, sba, and assignments. Mathematics is a methodical application of matter. Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

List of Mathematics Grade 10 Assignments and memos 2021

Topics covered in mathematics grade 10 caps.

• Patterns, Sequences and Series
• Functions and Interverse Functions
• Exponential and Logarithmic Functions
• Finance, Growth and Decay
• Trigonometry: Compound and Double Angle Identities
• Trigonometry: Problem Solving in Two and Three Dimentions
• Polynomials
• Differential Calculus
• Analytical Geometry
• Euclidean Geometry
• Counting Principles and Probability

What Careers can i pursue with Mathematics after Matric?

• Acoustic consultant
• Actuarial analyst
• Chartered accountant
• Chartered certified accountant
• Data analyst
• Data scientist
• Investment analyst
• Research scientist (maths)
• Secondary school teacher
• Software engineer
• Sound engineer
• Statistician

List of Mathematics Grade 10 Assignments and memos CAPS South Africa:

Mathematics Grade 10 is completed in 4 terms in a year: Term 1, Term 2, Term 3, and Term 4. It is done in all South African Provinces such as: Gauteng, Free State, Limpopo, North West, Mpumalanga, Western Cape, Northern Cape, Eastern Cape, and Kwazulu Natal. Mathematics Grade 10 is done in English and Afrikaans languages, and consist of Paper 1 and Paper 2 Exams

Mathematics Grade 11 Tests CAPS

Robotics courses from school and universities in south africa, related posts.

Mathematics Grade 12 Past Papers and Memos for 2021 CAPS

Mathematics Grade 10 Study Guides CAPS

Mathematics Grade 10 Textbooks CAPS

Mathematics Grade 10 Notes CAPS

Mathematics Grade 10 SBA Tasks and Memos CAPS

Leave your thought here cancel reply.

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Latest Posts

Hospitality Studies Grade 12 June Question Papers and Memos pdf Download

Visual arts grade 12 june 2023 question papers and memos pdf download, dramatic arts grade 12 june 2023 question papers and memos pdf download, setswana home language grade 12 june 2023 question papers and memos pdf download, tourism studies grade 12 june 2023 question papers and memos pdf download, electrical technology grade 12 june 2023 question papers and memos pdf download, engineering graphics and designs grade 12 june 2023 question papers and memos pdf download, english home language grade 12 june 2023 question papers and memos pdf download, civil technology grade 12 june 2023 question papers and memos pdf download, siswati home language grade 12 june 2023 question papers and memos pdf download.

More Learning Resources @ My Courses

• Availability
• Add to cart
• Description
• Additional information
• Custom attributes
• Custom fields

• Grade 12 Learning Resources Study Notes and Previous Papers
• Grade 11 Learning Resources
• Grade 10 Learning Resources
• IGCSE Syllabus
• Latest Updates

Insert/edit link

Enter the destination URL

Or link to existing content