CBSE Class 10 Mathematics Mock Tests, Updated for This Session

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These free Class 10 Mathematics tests are built for the 2026-27 session, and follow the CBSE pattern. Submit a test, and your score appears at once - no waiting around.

Test Yourself on Every Mathematics Chapter (Class 10)

Each test below covers one Mathematics chapter from the Class 10 book. Our teachers built these to match the CBSE 2026-27 marking scheme closely. Click a chapter to start - there's no login, and you can try a test as many times as you want.

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Class 10 Mathematics: Concept Navigators & Chapter Diagnostic Tests

Select any unit below to use live mathematical formula solvers and practice high-yield CBSE board diagnostic questions with verified step-by-step explanations.

Interactive Concept Tool: Quadratic Equation Discriminant ($D = b^2 - 4ac$) Solver

Q1.By the Fundamental Theorem of Arithmetic, every composite number can be uniquely expressed (factorised) as a product of:

(a) Even numbers only
(b) Primes, apart from the order in which the prime factors occur
(c) Co-prime integers only
(d) Rational fractions

Q2.For what condition do the linear equations $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ represent coincident lines with infinitely many solutions?

(a) $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$
(b) $\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$
(c) $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$
(d) $\frac{a_1}{a_2} + \frac{b_1}{b_2} = 0$

Q3.If the sum of the first $n$ terms of an Arithmetic Progression is given by $S_n = 3n^2 + 5n$, what is its first term ($a_1$)?

(a) 3
(b) 5
(c) 8
(d) 11

Interactive Concept Tool: Trigonometric Exact Values & Identities Navigator

Q1.The Basic Proportionality Theorem (Thales Theorem) states that if a line is drawn parallel to one side of a triangle intersecting the other two sides:

(a) It divides the other two sides in the same ratio
(b) It bisects the opposite angle
(c) It is perpendicular to the base
(d) It creates two congruent triangles

Q2.How many tangents can be drawn to a circle from an external point outside it, and what is the relation between their lengths?

(a) Infinitely many tangents of varying lengths
(b) Exactly two tangents, and their lengths are equal
(c) Only one tangent
(d) Two tangents, with one always twice the length of the other

Q3.If a vertical pole of height $6\text{ m}$ casts a shadow $2\sqrt{3}\text{ m}$ long on the ground, what is the Sun's elevation angle?

(a) $30^\circ$
(b) $45^\circ$
(c) $90^\circ$
(d) $60^\circ$

Interactive Concept Tool: Coordinate Geometry Distance & Section Formula

Q1.What is the coordinates of the midpoint of the line segment joining the points $P(-4, 6)$ and $Q(8, -2)$?

(a) $(2, 2)$
(b) $(4, 4)$
(c) $(6, 4)$
(d) $(-2, 2)$

Q2.What is the area of a sector of a circle of radius $r$ with central angle $\theta$ (in degrees)?

(a) $\frac{\theta}{360} \times 2\pi r$
(b) $\frac{\theta}{180} \times \pi r^2$
(c) $\frac{\theta}{360} \times \pi r^2$
(d) $\frac{\theta}{720} \times 2\pi r^2$

Q3.When a solid metallic cone of radius $r$ and height $h$ is melted and recast into a solid cylinder of the same radius $r$, what is the height of the cylinder?

(a) $h$
(b) $\frac{h}{3}$
(c) $3h$
(d) $\frac{h}{2}$

Interactive Concept Tool: Empirical Relationship & Probability Simulator

Q1.What is the empirical relationship connecting Mean, Median, and Mode in a moderately skewed distribution?

(a) $\text{Mode} = 2\text{ Median} - 3\text{ Mean}$
(b) $\text{Mean} - \text{Mode} = 3(\text{Mean} + \text{Median})$
(c) $\text{Median} = 3\text{ Mode} - 2\text{ Mean}$
(d) $\text{Mode} = 3\text{ Median} - 2\text{ Mean}$

Q2.What is the probability of obtaining 53 Sundays in a leap year?

(a) $1/7$
(b) $2/7$
(c) $3/7$
(d) $53/366$

Q3.If $P(E) = 0.07$, what is the probability of 'not event E', i.e., $P(\bar{E})$?

(a) 0.93
(b) 0.03
(c) 0.70
(d) 0.97
Chapter 01 Real Numbers
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Chapter 02 Polynomials
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Chapter 03 Pair of Linear Equations in Two Variables
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Chapter 04 Quadratic Equations
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Chapter 05 Arithmetic Progressions
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Chapter 06 Triangles
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Chapter 07 Coordinate Geometry
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Chapter 08 Introduction to Trigonometry
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Chapter 09 Some Applications of Trigonometry
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Chapter 10 Circles
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Chapter 11 Areas Related to Circles
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Chapter 12 Surface Areas and Volumes
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Chapter 13 Statistics
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Chapter 14 Probability
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More Online Test Class 10 Mathematics
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All Chapters Mock Test Set 08
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All Chapters Mock Test Set 17
All Chapters Mock Test Set 18
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All Chapters Mock Test Set 20
All Chapters Mock Test Set 21
All Chapters Mock Test Set 22
All Chapters Mock Test Set 23
All Chapters Mock Test Set 24
Chapter 16 Mensurations Mock Test Set 01
Chapter 16 Mensurations Mock Test Set 02
Chapter 16 Mensurations Mock Test Set 03
Chapter 16 Mensurations Mock Test Set 04
Chapter 16 Mensurations Mock Test Set 05
~ Class 10 Mathematics (Old Chapters)
Chapter 11 Constructions Mock Test Set 01
~Advanced study material
Real Numbers Mock Test Set 01
Real Numbers Mock Test Set 02
Real Numbers Mock Test Set 03
Real Numbers Mock Test Set 04
Real Numbers Mock Test Set 05
Real Numbers Mock Test Set 06
Real Numbers Mock Test Set 07

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These Tests at a Glance

  • Covers the full Mathematics syllabus, chapter by chapter.
  • Is free for every Class 10 student.
  • Is short enough to finish in one sitting.
  • Covers topics that often show up in real exams.

How to Prepare for Mathematics Tests

Know your Mathematics basics well before you start. Read each question slowly, and watch out for tricky wording. Check your answer before you submit it. Always look back at questions you got wrong.

CBSE Class 10 Mathematics: Annual Board Exam Pattern & Weightage Blueprint

Our chapter-wise online mock tests and step-by-step mathematical solvers strictly follow the rationalized NCERT curriculum for Class 10 Mathematics (Standard 041 & Basic 241). Prepare strategically across all six official assessment units:

Mathematical Unit Chapters Covered & Core Competencies Evaluated Marks
Unit I: Number Systems Chapter 01 (Real Numbers). Fundamental Theorem of Arithmetic, proving irrationality of $\sqrt{2}, \sqrt{3}, \sqrt{5}$, and HCF & LCM prime factorisation applications. 06 Marks
Unit II: Algebra Chapter 02 (Polynomials), Chapter 03 (Pair of Linear Equations in Two Variables), Chapter 04 (Quadratic Equations), and Chapter 05 (Arithmetic Progressions). Zeroes relationship, graphical/algebraic consistency conditions, quadratic formula ($D = b^2 - 4ac$), and A.P. general term ($a_n$) & sum ($S_n$) word problems. 20 Marks
Unit III: Coordinate Geometry Chapter 07 (Coordinate Geometry). Distance formula, collinearity of points, section formula (internal division), and midpoint coordinates. 06 Marks
Unit IV: Geometry Chapter 06 (Triangles) and Chapter 10 (Circles). Basic Proportionality Theorem (Thales Theorem), triangle similarity criteria (AAA, SAS, SSS), tangent-radius perpendicularity theorem, and equal lengths of tangents from an external point. 15 Marks
Unit V: Trigonometry Chapter 08 (Introduction to Trigonometry) and Chapter 09 (Some Applications of Trigonometry). Trigonometric ratios of acute angles ($0^\circ, 30^\circ, 45^\circ, 60^\circ, 90^\circ$), basic identity $\sin^2\theta + \cos^2\theta = 1$, and single/double angle heights & distances word problems. 12 Marks
Unit VI: Mensuration Chapter 11 (Areas Related to Circles) and Chapter 12 (Surface Areas and Volumes). Area of sectors and segments of circles, and surface area & volume of combinations of solids (cubes, cuboids, spheres, hemispheres, cylinders, cones). 10 Marks
Unit VII: Statistics & Probability Chapter 13 (Statistics) and Chapter 14 (Probability). Mean, median, mode of grouped frequency data distributions, empirical formula ($\text{Mode} = 3\text{Median} - 2\text{Mean}$), and classical probability of single/compound events. 11 Marks
Total Theory Examination (Board Paper) 80 Marks
Internal Assessment (Periodic Tests + Multiple Assessments + Portfolio + Mathematics Lab Activities) 20 Marks

FAQs

How do I access the 2026-27 Class 10 Mathematics Online Mock Tests?

You can start the latest Mathematics mock tests for Class 10 by selecting your chapter from the links above. These tests are free, dont need login and are optimized for the 2026-27 academic session.

Are the Class 10 online tests based on the new CBSE MCQ pattern?

Yes, our Mathematics online tests are strictly as per the latest CBSE pattern with 20% MCQ weightage and main focus on competency-based and case-study questions.

Can I see my score and answers instantly after the Mathematics test?

After submitting your Class 10 Mathematics test, you can see score report and correct/incorrect answers.

Is there a limit to how many times I can attempt these Class 10 mock tests?

There are no limits. You can re-attempt any Mathematics online test as many times for free, master concepts, improve your speed and accuracy.

Do these Class 10 Mathematics tests work on smartphones?

Yes, the StudiesToday online test platform is mobile-first. Class 10 Mathematics students can take these tests on any smartphone.

How do online mock tests help in Class 10 Mathematics exam preparation?

Online tests help Class 10 students build confidence and time management. By solving above tests MCQs you can apply theoretical knowledge which is important for 2026-27 exams.