Get ready for Mathematics with these CBSE Class 9 MCQs, organized chapter by chapter for 2026-27. They help you master the current exam pattern, and build sharper problem-solving skills.
How Mathematics MCQs Help Class 9 Students
- Answers are explained clearly for every Mathematics question, so the reasoning actually makes sense.
- Strictly based on the 2026 CBSE Mathematics textbook, and guidelines issued by CBSE.
- Covers several formats beyond regular MCQs - Assertion-Reasoning, Case-based, and Fill-in-the-blanks for Mathematics.
- Neatly organized by chapter, so you can test your grip on each Mathematics topic one at a time.
Chapter-wise Mathematics Questions - Class 9
The 2026-27 Mathematics sets below are ready to use. Try them for self-assessment, and to see which topics need extra revision before exams.
|
Quick Practice - Try a Few Questions First Pick a chapter below, answer key questions, and check verified model answers. Q1.The coordinates of any point lying on the y-axis are always of the form: Answer: (a) (0, y). Every point on the y-axis has a perpendicular distance of zero from the y-axis, which makes its x-coordinate (abscissa) equal to 0.
Q2.A point P(-4, 5) lies in which quadrant of the Cartesian coordinate plane? Answer: (b) Quadrant II. In the Cartesian plane, points with a negative x-coordinate and a positive y-coordinate (–, +) lie strictly in Quadrant II.
Q3.What is the distance of the point P(6, -8) from the origin (0, 0)? Answer: (c) 10 units. Distance from origin = √(x² + y²) = √(6² + (-8)²) = √(36 + 64) = √100 = 10 units.
Q4.If the points A(2, 3) and B(y, x) represent the exact same location on a coordinate plane, then: Answer: (b) x = 3, y = 2. For two ordered pairs (2, 3) and (y, x) to coincide, their corresponding components must match: y = 2 and x = 3.
Q5.The horizontal line and vertical line in a 2D coordinate plane intersect at a point known as the: Answer: (a) Origin. The point of perpendicular intersection of the x-axis and y-axis is defined as the origin, O(0, 0).
Q1.What is the degree of a non-zero constant polynomial like -9? Answer: (a) 0. A constant polynomial can be written as -9x⁰, hence the highest power of the variable is 0.
Q2.The graph of every linear polynomial of the form y = ax + b represents a: Answer: (b) Straight line. In the Cartesian plane, all equations of degree 1 (linear equations) map directly to straight lines.
Q3.If the value of a linear polynomial P(x) = 5x - 3 is evaluated at x = -1, the result is: Answer: (c) -8. Substituting x = -1: P(-1) = 5(-1) - 3 = -5 - 3 = -8.
Q4.In the linear equation y = -3x + 1, what does the negative coefficient (-3) indicate about the graph? Answer: (a) The line slopes downwards from left to right (linear decay). A negative slope 'a' indicates that as x increases, y decreases steadily.
Q5.What is the coefficient of x in the polynomial 4x³ + 5x² - 11? Answer: (d) 0. Since the term containing x¹ is missing from the polynomial, its coefficient is 0.
Q1.Which of the following numbers is an irrational number? Answer: (b) √5. 5 is not a perfect square, so its root produces a non-terminating, non-repeating decimal expansion, making it irrational.
Q2.The decimal representation of an irrational number is always: Answer: (c) Non-terminating non-repeating. Real numbers whose decimals never terminate and never form a repeating pattern are irrational numbers.
Q3.Between any two distinct rational numbers, how many rational numbers exist? Answer: (a) Infinitely many. The density property of rational numbers establishes that there are infinite rationals between any two given numbers.
Q4.When a rational number is added to an irrational number, the resulting sum is always: Answer: (b) Irrational. The sum or difference of a rational number and an irrational number is always irrational (e.g., 2 + √3).
Q5.What is the value of (√7 + √3)(√7 - √3)? Answer: (a) 4. Using the identity (a + b)(a - b) = a² - b²: (√7)² - (√3)² = 7 - 3 = 4.
Q1.The algebraic expansion of (x + y + z)² is equal to: Answer: (a) x² + y² + z² + 2xy + 2yz + 2zx. This is the standard trinomial expansion identity for the square of three terms.
Q2.If x + y + z = 0, then the value of x³ + y³ + z³ is equal to: Answer: (c) 3xyz. Using x³ + y³ + z³ - 3xyz = (x + y + z)(x² + y² + z² - xy - yz - zx), if (x + y + z) = 0, the right-hand side becomes 0, so x³ + y³ + z³ = 3xyz.
Q3.Factorising 4x² - 9y² gives: Answer: (b) (2x - 3y)(2x + 3y). Expressed as a difference of squares: (2x)² - (3y)² = (2x - 3y)(2x + 3y).
Q4.The value of 105 × 95 calculated using algebraic identities is: Answer: (a) 9975. (100 + 5)(100 - 5) = 100² - 5² = 10000 - 25 = 9975.
Q5.The expansion of (2x - 1)³ is: Answer: (a) 8x³ - 12x² + 6x - 1. (a - b)³ = a³ - 3a²b + 3ab² - b³ = (2x)³ - 3(2x)²(1) + 3(2x)(1)² - 1³ = 8x³ - 12x² + 6x - 1.
Q1.A full circular revolution around a fixed point sweeps an angle of: Answer: (a) 360°. One complete rotation around a central vertex forms a full angle of 360°.
Q2.When a line reflects across the x-axis, the coordinates of point P(x, y) transform into: Answer: (b) (x, -y). Reflection across the horizontal x-axis preserves the x-coordinate while inverting the sign of the y-coordinate.
Q3.Rotating a point P(x, y) by 180° about the origin results in the new coordinates: Answer: (c) (-x, -y). A half-turn rotation (180°) around the origin negates both coordinate values.
Q4.The number of lines of symmetry in a regular hexagon is: Answer: (c) 6. A regular polygon with n sides possesses exactly n lines of reflectional symmetry.
Q5.What is the order of rotational symmetry of a square? Answer: (b) 4. A square matches its original position at rotations of 90°, 180°, 270°, and 360°, giving it rotational symmetry of order 4.
Q1.According to Heron's formula, the area of a triangle with sides a, b, and c is: Answer: (a) √[s(s - a)(s - b)(s - c)]. Here s is the semi-perimeter of the triangle, defined as s = (a + b + c)/2.
Q2.What is the area of an equilateral triangle having side length 4 cm? Answer: (b) 4√3 cm². Area = (√3/4) × a² = (√3/4) × 4² = (√3/4) × 16 = 4√3 cm².
Q3.If the radius of a circle is doubled, its area becomes: Answer: (c) 4 times. Area = πr². If new radius R = 2r, New Area = π(2r)² = 4πr², which is 4 times the original area.
Q4.The perimeter of a sector of radius r with central angle θ (in degrees) is given by: Answer: (a) (θ/360°) × 2πr + 2r. The perimeter of a sector includes the arc length plus the lengths of the two bounding radii (2r).
Q5.The sides of a triangle are 6 cm, 8 cm, and 10 cm. Its area is: Answer: (a) 24 cm². Since 6² + 8² = 36 + 64 = 100 = 10², this is a right-angled triangle. Area = (1/2) × base × height = (1/2) × 6 × 8 = 24 cm².
Q1.What is the probability of getting an even prime number when rolling a standard 6-sided die? Answer: (a) 1/6. The only even prime number is 2. The favourable outcome is {2}, so P(E) = 1/6.
Q2.Which of the following numbers cannot represent the probability of an event? Answer: (b) -1.5. The probability of any event must always satisfy 0 ≤ P(E) ≤ 1 and can never be negative.
Q3.If the probability of winning a game is 0.68, what is the probability of losing the game? Answer: (c) 0.32. For complementary events, P(not E) = 1 - P(E) = 1 - 0.68 = 0.32.
Q4.A card is drawn from a well-shuffled pack of 52 cards. What is the probability of drawing a red face card? Answer: (a) 3/26. Total face cards = 12, of which 6 are red (hearts and diamonds). P = 6/52 = 3/26.
Q5.The probability of an impossible event is always: Answer: (a) 0. An event that can never happen has zero favourable outcomes, so its probability is 0.
Q1.In an Arithmetic Progression (AP) with first term a = 3 and common difference d = 4, what is the 10th term? Answer: (c) 39. a₁₀ = a + (n - 1)d = 3 + (10 - 1) × 4 = 3 + (9 × 4) = 3 + 36 = 39.
Q2.What is the common difference of the AP: 10, 7, 4, 1, -2, ...? Answer: (b) -3. d = a₂ - a₁ = 7 - 10 = -3.
Q3.What is the sum of the first 20 natural numbers (1 + 2 + 3 + ... + 20)? Answer: (a) 210. Sₙ = n(n + 1)/2 = 20(21)/2 = 10 × 21 = 210.
Q4.Which term of the AP: 2, 7, 12, 17, ... is equal to 47? Answer: (b) 10th term. aₙ = a + (n - 1)d ⇒ 47 = 2 + (n - 1)5 ⇒ 45 = 5(n - 1) ⇒ n - 1 = 9 ⇒ n = 10.
Q5.In a geometric sequence where each term is multiplied by a fixed constant, that multiplier is called the: Answer: (a) Common ratio. The fixed constant factor by which successive terms are multiplied is called the common ratio 'r'.
|
| Chapter 2 Polynomials MCQs Set 01 |
| Chapter 2 Polynomials MCQs Set 02 |
| Chapter 2 Polynomials MCQs Set 03 |
| Chapter 2 Polynomials MCQs Set 04 |
| Chapter 3 Coordinate Geometry MCQs |
| Chapter 4 Linear Equations in Two Variables MCQs Set 01 |
| Chapter 4 Linear Equations in Two Variables MCQs Set 02 |
| Chapter 5 Introduction to Euclids Geometry MCQs |
| Chapter 6 Lines and Angles MCQs |
| Chapter 7 Triangles MCQs |
| Chapter 8 Quadrilaterals MCQs |
| Chapter 8 Quadrilaterals MCQs Set 02 |
| Chapter 9 Circles MCQs Set 01 |
| Chapter 9 Circles MCQs Set 02 |
| Chapter 10 Herons Formula MCQs |
| Chapter 12 Statistics MCQs |
| All Chapters MCQs |
| Quantitative Reasoning MCQs |
| Chapter 9 Areas of Parallelograms and Triangles MCQs |
| Chapter 11 Constructions MCQs |
| Chapter 15 Probability MCQs Set 01 |
| Chapter 15 Probability MCQs Set 02 |
Free study material for Mathematics
FAQs
For the 2026-27 session, MCQs and objective-type questions carry around 20% weightage. CBSE has introduced 30% competency based questions as MCQs and they are important part of the Class 9 Mathematics paper.
You can access the latest chapter-wise MCQs for Class 9 Mathematics for free from StudiesToday.com. All questions are based on the latest syllabus and current academic year.
Yes, our Mathematics practice bank includes the new pattern of Assertion Reasoning and Case Study based MCQs. They have been designed to test the analytical skills of Class 9 students.
Solving Class 9 Mathematics MCQs regularly improves speed and accuracy as these are objective questions can get you 100% marks if your understanding of the topic is clear.
Yes, all Class 9 Mathematics MCQs and answers are accessible on any device at your convenience.
No, all Mathematics Multiple Choice Questions (MCQs), practice papers, and solutions for Class 9 are available for free for students to get more marks school exams.