Class 9 Maths MCQs with Hints &                     Explanations – CBSE Chapter-wise 2025

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Prepare smarter for your Class 9 Maths exams with our Chapter-wise MCQs with Hints & Explanations designed strictly as per the CBSE 2025 syllabus. This resource includes multiple choice questions for all Class 9 Maths chapters, complete with detailed explanations and smart hints to strengthen your conceptual understanding. Ideal for quick revision, practice tests, and CBSE exam preparation.

Boost your scores with our expertly curated Class 9 Maths MCQs, covering important chapters like Number Systems, Linear Equations, Geometry, Statistics, and more!

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• Class 9 Maths MCQs with Hints & Explanations – CBSE Chapter-wise 2025

  Are you a Class 9 CBSE student preparing for your Maths exam in 2025? Looking for chapter-wise MCQs for Class 9 Maths with detailed explanations? You’re in the right place! This guide covers Class 9 Maths Multiple Choice Questions (MCQs) for all chapters, aligned with the latest CBSE syllabus 2025, including hints, answers, and detailed solutions.

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  🌟 Chapter-wise Class 9 Maths MCQs (2025)

  📍 Chapter 1 – Number Systems

  Q1: Which of the following is an irrational number?
  A) 2/3
  B) √2
  C) 0.25
  D) 1.5

  Answer: B) √2
  Hint: Irrational numbers cannot be expressed as a ratio of two integers.
  Explanation: √2 is non-terminating and non-repeating.

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  📍 Chapter 2 – Polynomials

  Q2: The degree of the polynomial $4x^3 + 3x^2 - 2x + 7$ is:
  A) 2
  B) 3
  C) 4
  D) 1

  Answer: B) 3
  Hint: The degree is the highest power of the variable.
  Explanation: Here, the term with the highest exponent is $4x^3$.

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  📍 Chapter 3 – Coordinate Geometry

  Q3: The coordinates of origin are:
  A) (0,0)
  B) (1,1)
  C) (0,1)
  D) (1,0)

  Answer: A) (0,0)
  Hint: Origin is the point where X and Y axes intersect.
  Explanation: By definition, the origin in coordinate geometry is (0,0).

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  📍 Chapter 4 – Linear Equations in Two Variables

  Q4: The graph of a linear equation in two variables is always a:
  A) Circle
  B) Line
  C) Parabola
  D) Curve

  Answer: B) Line
  Hint: Linear means of degree 1.
  Explanation: Linear equations form straight lines when graphed.

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  📍 Chapter 5 – Introduction to Euclid’s Geometry

  Q5: Euclid’s first postulate states:
  A) A straight line may be drawn from any one point to any other point
  B) A circle can be drawn with any center and radius
  C) All right angles are equal
  D) The whole is greater than the part

  Answer: A)A straight line may be drawn from any one point to any other point
  Hint: Focus on the basic postulates about drawing lines.
  Explanation: This postulate  underpins the basics of geometry.

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  📍 Chapter 6 – Lines and Angles

  Q6: If two lines intersect at a point and form equal vertically opposite angles, then each angle measures:
  A) 45°
  B) 60°
  C) 90°
  D) Cannot be determined

  Answer: D) Cannot be determined
  Hint: Vertically opposite angles are equal, but the exact measure depends on the given angle.
  Explanation: Without knowing one of the angles, we can't determine their actual measure—only that they are equal.

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  📍 Chapter 7 – Triangles

  Q7: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. This is known as:
  A) Triangle Inequality Theorem
  B) Pythagoras Theorem
  C) Euclid’s Lemma
  D) Converse of Pythagoras Theorem

  Answer: B) Pythagoras Theorem
  Hint: Hypotenuse² = Base² + Height²
  Explanation: It applies only to right-angled triangles.

  ---

  📍 Chapter 8 – Quadrilaterals

  Q8: In a parallelogram, opposite angles are:
  A) Equal
  B) Supplementary
  C) Complementary
  D) Unequal

  Answer: A) Equal
  Hint: All opposite angles in parallelograms are congruent.
  Explanation: This is a fundamental property of parallelograms.

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  📍 Chapter 9 – Areas of Parallelograms and Triangles

  Q9: Two triangles are said to be on the same base and between the same parallels. Then, they have:
  A) Equal perimeters
  B) Equal heights
  C) Equal areas
  D) Unequal areas

  Answer: C) Equal areas
  Hint: If triangles share a base and lie between the same parallels, area is equal.
  Explanation: This is a standard result in geometry.

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  📍 Chapter 10 – Circles

  Q10: The distance from the center of a circle to any point on the circle is called:
  A) Diameter
  B) Radius
  C) Chord
  D) Arc

  Answer: B) Radius
  Hint: It's half the diameter.
  Explanation: Radius is the constant distance from center to circumference.

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  📍 Chapter 11 – Constructions

  Q11: To bisect a given angle, you must use:
  A) Protractor
  B) Ruler only
  C) Compass and ruler
  D) Divider

  Answer: C) Compass and ruler
  Hint: Angle bisection requires arc-based construction.
  Explanation: It's a classical geometric construction technique.

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  📍 Chapter 12 – Heron’s Formula

  Q12: Heron’s formula is used to find the area of a triangle when:
  A) Base and height are given
  B) All sides are given
  C) Only angles are given
  D) It is a right triangle

  Answer: B) All sides are given
  Hint: Use semi-perimeter and side lengths.
  Explanation: Heron’s Formula: $\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}$

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  📍 Chapter 13 – Surface Areas and Volumes

  Q13: The formula for the volume of a cube is:
  A) $l^2$
  B) $l^3$
  C) $2l^2$
  D) $6l^2$

  Answer: B) $l^3$
  Hint: All sides of a cube are equal.
  Explanation: Volume = side × side × side

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  📍 Chapter 14 – Statistics

  Q14: The average of a set of numbers is called:
  A) Median
  B) Mode
  C) Mean
  D) Range

  Answer: C) Mean
  Hint: Sum of values ÷ Number of values
  Explanation: Mean = total / number of items

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  📍 Chapter 15 – Probability

  Q15: The probability of a sure event is:
  A) 1
  B) 0
  C) Between 0 and 1
  D) Cannot be defined

  Answer: A) 1
  Hint: A sure event means it will definitely happen.
  Explanation: Probability ranges from 0 to 1. A sure event has probability 1.

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  📍 Additional Important MCQs for Class 9 Maths – 2025

  Chapter 1: Number Systems

  Q16: Which of the following is not a rational number?
  A) 7/8
  B) 0.333… (repeating decimal)
  C) √16
  D) π

  Answer: D) π
  Hint: Rational numbers can be expressed as fractions.
  Explanation: π is irrational because it cannot be expressed as a ratio of integers.

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  Chapter 7: Triangles

  Q17: In triangle ABC, if AB = AC, then the triangle is:
  A) Scalene
  B) Isosceles
  C) Equilateral
  D) Right-angled

  Answer: B) Isosceles
  Hint: Two sides equal means isosceles.
  Explanation: Isosceles triangle has exactly two equal sides.

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  Chapter 13: Surface Areas and Volumes

  Q18: The surface area of a sphere is given by:
  A) $4 \pi r^2$
  B) $2 \pi r^2$
  C) $\pi r^2$
  D) $6 \pi r^2$

  Answer: A) $4 \pi r^2$
  Hint: Remember the formula for sphere surface area.
  Explanation: Surface area is four times the area of a great ci

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  📍 Chapter 2: Polynomials (More MCQs)

  Q19: The polynomial $x^2 + 5x + 6$ factors into:
  A) $(x + 2)(x + 3)$
  B) $(x - 2)(x - 3)$
  C) $(x + 1)(x + 6)$
  D) $(x - 1)(x - 6)$

  Answer: A) $(x + 2)(x + 3)$
  Hint: Find two numbers that multiply to 6 and add to 5.
  Explanation: 2 × 3 = 6 and 2 + 3 = 5.

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  📍 Chapter 3: Coordinate Geometry (More MCQs)

  Q20: The point that lies on the y-axis has coordinates:
  A) (0, y)
  B) (x, 0)
  C) (x, y) where x ≠ 0, y ≠ 0
  D) None of these

  Answer: A) (0, y)
  Hint: Points on y-axis have x-coordinate zero.
  Explanation: Because on y-axis, all points have zero x-coordinate.

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  📍 Chapter 4: Linear Equations in Two Variables (More MCQs)

  Q21: The solution of the equation $3x + 2y = 6$ is:
  A) (2,0)
  B) (0,3)
  C) Both A and B
  D) None of these

  Answer: C) Both A and B
  Hint: Substitute values to check.
  Explanation: For (2,0): 3(2)+2(0)=6; For (0,3): 3(0)+2(3)=6.

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  📍 Chapter 5: Introduction to Euclid’s Geometry (More MCQs)

  Q22: According to Euclid, a point is:
  A) A line with length
  B) That which has no part
  C) A plane figure
  D) None of these

  Answer: B) That which has no part
  Hint: Think of the smallest geometric unit.
  Explanation: Euclid defines a point as having no dimensions.

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  📍 Chapter 6: Lines and Angles (Continued)

  Q23: If two parallel lines are cut by a transversal, then the sum of the interior angles on the same side of the transversal is:
  A) 90°
  B) 180°
  C) 270°
  D) 360°

  Answer: B) 180°
  Hint: Interior angles on the same side of the transversal are supplementary.
  Explanation: This property helps in identifying parallel lines.

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  📍 Chapter 8: Quadrilaterals (Continued)

  Q24: A quadrilateral with all sides equal and all angles equal is called a:
  A) Rhombus
  B) Rectangle
  C) Square
  D) Parallelogram

  Answer: C) Square
  Hint: Equal sides + equal angles = square.
  Explanation: A square is a special parallelogram with equal sides and angles.

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  📍 Chapter 9: Areas of Parallelograms and Triangles (Continued)

  Q25: The area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$. If the base is doubled and height is halved, the area:
  A) Doubles
  B) Halves
  C) Remains the same
  D) Quadruples

  Answer: C) Remains the same
  Hint: Area depends on the product of base and height.
  Explanation: Doubling base and halving height keeps the product constant.

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  📍 Chapter 10: Circles (Continued)

  Q26: A chord of a circle is:
  A) A line segment joining any two points on the circle
  B) A line from center to circumference
  C) The longest distance across the circle
  D) None of these

  Answer: A) A line segment joining any two points on the circle
  Hint: Diameter is a special chord.
  Explanation: All chords lie inside the circle.

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  📍 Chapter 11: Constructions (Continued)

  Q27: To construct a triangle given three sides, which method is used?
  A) SAS
  B) SSS
  C) ASA
  D) RHS

  Answer: B) SSS
  Hint: SSS stands for side-side-side.
  Explanation: Knowing all three sides allows exact construction.

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  📍 Chapter 12: Heron’s Formula (Continued)

  Q28: If the sides of a triangle are 3 cm, 4 cm, and 5 cm, its area using Heron's formula is:
  A) 6 cm²
  B) 7 cm²
  C) 5 cm²
  D) 10 cm²

  Answer: A) 6 cm²
  Hint: Semi-perimeter $s = \frac{3+4+5}{2} = 6$
  Explanation: Area $= \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{6(6-3)(6-4)(6-5)} = \sqrt{6 \times 3 \times 2 \times 1} = \sqrt{36} = 6$

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  📍 Chapter 14: Statistics (Continued)

  Q29: The mode of the data set {4, 4, 5, 6, 6, 6, 7} is:
  A) 4
  B) 5
  C) 6
  D) 7

  Answer: C) 6
  Hint: Mode is the most frequent number.
  Explanation: 6 appears three times, more than others.

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  📍 Chapter 15: Probability (Continued)

  Q30: When tossing a fair coin, the probability of getting tails is:
  A) 0
  B) 1/2
  C) 1
  D) 2

  Answer: B) 1/2
  Hint: Coin has two sides with equal chance.
  Explanation: Probability of tails = number of favorable outcomes / total outcomes = 1/2.

  Q31: Which of the following decimals is a rational number?
  A) 0.1010010001… (pattern not repeating)
  B) 0.3333… (repeating)
  C) π
  D) √2

  Answer: B) 0.3333… (repeating)
  Hint: Rational numbers have terminating or repeating decimal expansions.
  Explanation: Only repeating decimals represent rational numbers.

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  📍 Chapter 3: Coordinate Geometry (Advanced)

  Q32: The distance between points $A(2,3)$ and $B(5,7)$ is:
  A) 5
  B) $\sqrt{13}$
  C) $\sqrt{25}$
  D) 6

  Answer: A) 5
  Hint: Use distance formula: $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
  Explanation: $\sqrt{(5-2)^2 + (7-3)^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.

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  📍 Chapter 7: Triangles (Advanced)

  Q33: In a right triangle, the two legs are 6 cm and 8 cm. The hypotenuse is:
  A) 10 cm
  B) 14 cm
  C) 12 cm
  D) 9 cm

  Answer: A) 10 cm
  Hint: Use Pythagoras theorem $c = \sqrt{a^2 + b^2}$
  Explanation: $\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$.

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  📍 Chapter 13: Surface Areas and Volumes (Advanced)

  Q34: A sphere has radius 7 cm. Its volume is:
  A) $\frac{1436}{3} \pi \, cm^3$
  B) $\frac{343}{3} \pi \, cm^3$
  C) $\frac{1344}{3} \pi \, cm^3$
  D) $1436 \pi \, cm^3$

  Answer: A) $\frac{1436}{3} \pi \, cm^3$
  Hint: Volume of sphere = $\frac{4}{3} \pi r^3$
  Explanation: $\frac{4}{3} \times \pi \times 7^3 = \frac{4}{3} \times \pi \times 343 = \frac{1372}{3} \pi$ (approx 1436)

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  📍 Chapter 14: Statistics (Advanced)

  Q35: Find the mean of the data: 2, 4, 6, 8, 10.
  A) 5
  B) 6
  C) 4
  D) 7

  Answer: A) 6
  Hint: Mean = Sum of data ÷ number of data points.
  Explanation: $(2+4+6+8+10) / 5 = 30 / 5 = 6$.

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  📍 Chapter 2: Polynomials (More MCQs)

  Q36: The degree of the polynomial $4x^3 - 2x^2 + x - 7$ is:
  A) 1
  B) 2
  C) 3
  D) 4

  Answer: C) 3
  Hint: Degree is the highest power of the variable.
  Explanation: The highest power of $x$ is 3, so degree is 3.

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  📍 Chapter 4: Linear Equations in Two Variables

  Q37: Which of the following ordered pairs is a solution to $2x + 3y = 12$?
  A) (3, 2)
  B) (6, 0)
  C) (0, 4)
  D) All of these

  Answer: D) All of these
  Hint: Substitute values in the equation to verify.
  Explanation:

  • For (3,2): $2 \times 3 + 3 \times 2 = 6 + 6 = 12$

  • For (6,0): $2 \times 6 + 3 \times 0 = 12 + 0 = 12$

  • For (0,4): $2 \times 0 + 3 \times 4 = 0 + 12 = 12$

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  📍 Chapter 5: Introduction to Euclid’s Geometry

  Q38: According to Euclid’s postulates, through any two points there is:
  A) More than one line
  B) Exactly one line
  C) No line
  D) None of these

  Answer: B) Exactly one line
  Hint: Think of the simplest postulate about points and lines.
  Explanation: Euclid’s first postulate states that one and only one line can be drawn through two distinct points.

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  📍 Chapter 9: Areas of Parallelograms and Triangles

  Q39: The area of a parallelogram is given by:
  A) base × height
  B) 2 × base × height
  C) $\frac{1}{2}$ × base × height
  D) base + height

  Answer: A) base × height
  Hint: Area is base multiplied by perpendicular height.
  Explanation: Parallelogram’s area formula is base times height.

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  📍 Chapter 10: Circles

  Q40: The diameter of a circle is 14 cm. Its radius is:
  A) 7 cm
  B) 14 cm
  C) 28 cm
  D) 21 cm

  Answer: A) 7 cm
  Hint: Radius is half of diameter.
  Explanation: Radius = diameter ÷ 2 = 14 ÷ 2 = 7 cm.

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  📍 Chapter 11: Constructions (More MCQs)

  Q41: To construct an angle bisector of a given angle, which tool is NOT needed?
  A) Compass
  B) Ruler
  C) Protractor
  D) Pencil

  Answer: C) Protractor
  Hint: Angle bisector construction uses compass and ruler, not protractor.
  Explanation: The angle bisector is constructed by arcs intersecting, no measurement tools like protractor are required.

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  📍 Chapter 12: Heron’s Formula (More MCQs)

  Q42: If a triangle has sides 5 cm, 12 cm, and 13 cm, what is its area?
  A) 30 cm²
  B) 60 cm²
  C) 45 cm²
  D) 78 cm²

  Answer: A) 30 cm²
  Hint: Use Heron's formula or recognize it as a right triangle.
  Explanation: Since $5^2 + 12^2 = 13^2$, it’s right angled. Area = $\frac{1}{2} \times 5 \times 12 = 30 \, cm^2$.

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  📍 Chapter 14: Statistics (More MCQs)

  Q43: Median of the data set {3, 5, 7, 9, 11} is:
  A) 5
  B) 7
  C) 9
  D) 11

  Answer: B) 7
  Hint: Median is the middle value in ordered data.
  Explanation: The middle number in the set is 7.

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  📍 Chapter 15: Probability (More MCQs)

  Q44: Probability of drawing a red card from a well-shuffled deck of 52 cards is:
  A) $\frac{13}{52}$
  B) $\frac{1}{4}$
  C) $\frac{1}{2}$
  D) $\frac{26}{52}$

  Answer: D) $\frac{26}{52}$
  Hint: Half the cards are red (hearts and diamonds).
  Explanation: There are 26 red cards in a deck of 52.

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  📍 Chapter 8: Quadrilaterals (More MCQs)

  Q45: Which quadrilateral always has diagonals that bisect each other at right angles?
  A) Rectangle
  B) Rhombus
  C) Square
  D) Parallelogram

  Answer: B) Rhombus
  Hint: Rhombus has equal sides and perpendicular diagonals.
  Explanation: Only in rhombus diagonals bisect each other at 9

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  📍 Chapter 1: Number Systems (Additional MCQs)

  Q46: Which of the following is a terminating decimal?
  A) 1/3
  B) 5/8
  C) √2
  D) π

  Answer: B) 5/8
  Hint: Terminating decimals have denominators with only 2 and/or 5 as prime factors.
  Explanation: 8 = 2³, so 5/8 is terminating decimal (0.625).

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  📍 Chapter 7: Triangles (Additional MCQs)

  Q47: The sum of the lengths of any two sides of a triangle is:
  A) Equal to the third side
  B) Greater than the third side
  C) Less than the third side
  D) Always 180

  Answer: B) Greater than the third side
  Hint: Triangle inequality theorem applies.
  Explanation: Sum of any two sides > third side for a valid triangle.

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  📍 Chapter 13: Surface Areas and Volumes (Additional MCQs)

  Q48: Volume of a cone with radius $r$ and height $h$ is:
  A) $\pi r^2 h$
  B) $\frac{1}{3} \pi r^2 h$
  C) $2 \pi r h$
  D) $4 \pi r^2$

  Answer: B) $\frac{1}{3} \pi r^2 h$
  Hint: Cone’s volume is one-third of cylinder with same base and height.
  Explanation: Formula for cone volume: $\frac{1}{3} \pi r^2 h$.

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  📍 Chapter 10: Circles (Additional MCQs)

  Q49: The radius of a circle is 10 cm. Its circumference is:
  A) $20\pi$ cm
  B) $10\pi$ cm
  C) $100\pi$ cm
  D) $40\pi$ cm

  Answer: A) $20\pi$ cm
  Hint: Circumference = $2\pi r$.
  Explanation: $2 \times \pi \times 10 = 20\pi$ cm.

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  📍 Chapter 9: Areas of Parallelograms and Triangles (Additional MCQs)

  Q50: A triangle and a parallelogram have the same base and height. The area of the triangle is:
  A) Twice the parallelogram’s area
  B) Half the parallelogram’s area
  C) Equal to parallelogram’s area
  D) None of these

  Answer: B) Half the parallelogram’s area
  Hint: Triangle area formula is half that of parallelogram.
  Explanation: Area of triangle = $\frac{1}{2} \times$ base × height.

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