MP Board Class 10 Maths Important Questions, Practice Now

MP Board Class 10 Maths Important Questions: Preparing for the MP Board Class 10 Mathematics exam requires focused practice and a clear understanding of important topics.

With the 2026 board exams approaching, students must prioritise questions that are most likely to appear in the examination. Practising Class 10th MP Board Maths important questions 2026 helps students strengthen concepts, improve problem-solving skills, and gain confidence for the final exam.

Here we will provide a detailed collection of MP Board Class 10 Maths important questions with answers, prepared according to the latest syllabus and exam pattern. Students can also access the MP Board Class 10 Maths important questions PDF download for easy revision.

Class 10th MP Board Maths Important Questions 2026

This section presents a collection of important questions for MP Board Class 10 Mathematics, derived from the model paper. Each question is followed by its correct solution to aid your exam preparation. Here are some class 10 Maths important questions with answers MP board are essential for practice.

Choose and write the correct alternative.

Q1. Euclid's division algorithm is applied –

(A) To find the LCM of two positive integers
(B) To find the HCF of two positive integers
(C) To find the HCF of three positive integers
(D) To find the LCM of three positive integers

Text Solution:
Euclid’s Division Algorithm is used to find the Highest Common Factor (HCF) of two positive integers.
Correct option: (B)

Q2. For any two positive integers a and b, HCF(a, b) × LCM(a, b) =

(A) 1
(B) (a × b) / 2
(C) a / b
(D) a × b

Text Solution:
For any two positive integers a and b,
HCF(a, b) × LCM(a, b) = a × b.
Correct option: (D)

Q3. Find the number of zeroes of the graph of y = p(x).

(A) 1
(B) 2
(C) 3
(D) 4

Text Solution:
The number of zeroes of a polynomial is equal to the number of points where the graph intersects the x-axis.
The graph intersects the x-axis at two points.
Number of zeroes = 2.
Correct option: (B)

Q4. Write the zeroes of the polynomial.

(A) x = 3, −2
(B) x = 3, 2
(C) x = −3, −2
(D) x = −3, 2

Text Solution:
The zeroes of the given polynomial are 3 and −2.
Correct option: (A)

Q5. The equation x² − 4x + 4 = 0 has –

(A) Real roots
(B) Equal roots
(C) Imaginary roots
(D) Rational roots

Text Solution:
Discriminant D = b² − 4ac = 16 − 16 = 0.
Since D = 0, the roots are real and equal.
Correct option: (B)

Q6. The distance between the points A(0, 6) and B(0, −2) is –

(A) 6
(B) 8
(C) 4
(D) 2

Text Solution:
Distance between A and B = |6 − (−2)| = 8 units.
Correct option: (B)

Fill in the blanks:

Q7. If tan A = 1, then 2 sin A cos A = ______

Text Solution:
tan A = 1 implies A = 45°.
2 sin A cos A = sin 2A = sin 90° = 1.
Answer: 1

Q8. The distance of the point (2, 3) from x-axis is –

Text Solution:
Distance from x-axis is equal to the absolute value of y-coordinate.
Distance = 3 units.

Q9. Quadratic polynomial whose zeroes are −4 and 3 is –

Text Solution:
Required polynomial = (x + 4)(x − 3).
Polynomial = x² + x − 12.

Q10. √5 is a ______ number.

Text Solution:
√5 cannot be expressed as a ratio of two integers.
Therefore, √5 is an irrational number.

Q11. In the A.P. 3/2, 1/2, −1/2, −3/2, … the common difference is –

Text Solution:
Common difference d = 1/2 − 3/2 = −1.

Q12. A line intersecting a circle in two points is called a –

Text Solution:
A line intersecting a circle at two points is called a secant.

Q13. Match the correct option.

 Text Solution:
(9 sec²A − 9 tan²A matches 9
cos 0° matches 1
tan 0° matches 0
Area of sector matches (θ/360)πr²
Curved surface area of hemisphere matches 2πr²
Total surface area of hemisphere matches 3πr²

Write True or False.

Q14. Two quadrilaterals are similar if their corresponding angles are equal.

Text Solution:
False.
Corresponding sides must also be in the same ratio.

Q15. Two triangles are similar if their corresponding sides are proportional.

Text Solution:
True.

Q16. The line represented by x = 7 is parallel to the x-axis.

Text Solution:
The equation x = 7 represents a line parallel to the y-axis.
Hence, the statement is false.

Q17. Circumferences of two circles are equal. Is it necessary that their areas are equal? Why?

Text Solution:
Yes.
Equal circumferences imply equal radii.
Therefore, their areas are also equal.

Q18. Area of similar triangles is equal.

Text Solution:
False.
Areas of similar triangles are proportional to the square of the ratio of their corresponding sides.

Q19. The area of minor segment is less than the area of the corresponding sector.

Text Solution:
Area of minor segment = Area of sector − Area of triangle.
Hence, the area of minor segment is less.
Statement is true.

Q20. Explain why 3 × 5 × 7 + 7 is a composite number.

Text Solution:
3 × 5 × 7 + 7 = 7(15 + 1).
It has more than two factors.
Therefore, it is a composite number.

MP Board Class 10 Maths Important Questions PDF Download

Students preparing for the board exam can download the MP Board Class 10 Maths important questions PDF to revise anytime. The PDF includes all questions with step-by-step text solutions, making it ideal for last-minute preparation and offline practice. By using the PDF, students can also solve more practice questions and strengthen their concepts through repeated revision.

MP Board Class 10 Maths Important Questions

How to Use MP Board Class 10 Maths Important Questions

Effective use of MP Board Class 10 Maths Important Questions and solutions can significantly improve your exam performance. Follow these steps for optimal preparation:

• Review Concepts First: Before attempting any question, ensure a solid understanding of the underlying mathematical concepts. This foundational knowledge is key to solving diverse problems.

• Practice Problem Solving: Work through each question provided in this list. Try to solve them independently first. This builds confidence and identifies areas needing more attention.

• Check Detailed Solutions: After solving, compare your answers with the provided text solutions. Pay close attention to the steps and reasoning. This helps correct mistakes and learn efficient methods.

• Focus on Weak Areas: Identify topics or question types where you consistently face difficulty. Revisit the corresponding chapter in your textbook and practice similar problems until you achieve mastery.

• Revise Regularly: Use these important questions as a quick revision tool. Regularly go through them to reinforce your learning and recall formulas and theorems effectively.

• Time Management Practice: Practice solving a set of questions within a time limit. This simulates exam conditions and helps improve your speed and accuracy.