RBSE Board Class 10 Maths Important Questions with Solutions

RBSE Board Class 10 Maths Important Questions: The Rajasthan Board of Secondary Education (RBSE) is the primary body conducting the Secondary School Examination. Mathematics is often perceived as a challenging subject, but with the right focus on Class 10th RBSE board Maths important questions 2026, students can significantly boost their scores.

To assist in your preparation, we have curated a list of the most expected questions based on the latest model papers.

RBSE Board Class 10 Maths Important Questions PDF Download

Practicing these RBSE board class 10 Maths important questions pdf download materials will help you understand the weightage of various topics like Coordinate Geometry, Real Numbers, and Probability.

These solutions are designed to align with the RBSE exam pattern to ensure you are well-prepared for any challenge.

RBSE board class 10 Maths important questions pdf download

Class 10th RBSE Board Maths Important Topics

Based on the HUNKAR (हुंकार) Board Booster sessions, the following topics are crucial for your success. Mastering these will ensure you cover the core RBSE Class 10 Maths syllabus effectively:

• Real Numbers: Focus on Euclid's Division Algorithm and the Fundamental Theorem of Arithmetic.

• Algebra: Linear equations in two variables, Quadratic equations, and Arithmetic Progressions (AP.

• Geometry: Similar triangles, circles (tangents and secants), and coordinate geometry.

• Trigonometry: Introduction to trigonometric ratios and their applications in finding heights and distances.

• Mensuration: Area related to circles, surface areas, and volumes of solids.

• Statistics and Probability: Calculating mean, median, and basic probability scenarios.

RBSE Board Class 10 Maths Important Questions with Answers

Below are some of the class 10 Maths important questions with answers RBSE board curated from the Model Paper - 02.

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

Answer: (B) To find the HCF of two positive integers Reasoning: Euclid's Division Algorithm is a standard method used to compute the Highest Common Factor (HCF) of two given positive integers.

Q2. For any two positive integers a and b, what is the relationship between HCF and LCM?

Answer: HCF(a, b) × LCM(a, b) = a × b

Q3. If a pair of linear equations is consistent, then the lines will be—

(A) parallel

(B) always coincident

(C) intersecting or coincident

(D) always intersecting

Answer: (C) intersecting or coincident Reasoning: A system is consistent if it has at least one solution, which occurs when lines intersect at one point or overlap completely (coincident).

Q4. Write the zeros of the polynomial x² - x - 6.

Answer: x = 3, -2 Reasoning: Factoring the quadratic expression x² - 3x + 2x - 6 gives (x - 3)(x + 2), resulting in zeros at 3 and -2.

Q5. Find the distance between the points A(0,6) and B(0,-2).

Answer: 8 units Reasoning: Using the distance formula √[(x₂ - x₁)² + (y₂ - y₁)²], we get √[0² + (-2 - 6)²] = √64 = 8.

Q6. If sin θ = 1/2, find the value of tan θ.

Answer: 1/√3 Reasoning: If sin θ = 1/2 (Perpendicular/Hypotenuse), then by the Pythagoras theorem: Base = √(2² - 1²) = √3.

Thus, tan θ = P/B = 1/√3.

Q7. Find the HCF and LCM of 12, 15, 21 by prime factorization method.

Answer: HCF = 3, LCM = 420 Reasoning: Prime factors:

• 12 = 2² × 3

• 15 = 3 × 5

• 21 = 3 × 7

HCF is the product of common factors (3), and LCM is the product of the highest powers of all factors (2² × 3 × 5 × 7 = 420).

Q8. Two cubes each of volume 64 cm³ are joined end to end. Find the surface area of the resulting cuboid.

Answer: 160 cm² Reasoning: The side of each cube is 4 cm (derived from the cube root of 64). Joining two cubes creates a cuboid with dimensions Length (L) = 8 cm, Width (W) = 4 cm, and Height (H) = 4 cm.

Surface area = 2(LW + WH + HL) = 2(32 + 16 + 32) = 160 cm².

Preparation Tips for RBSE Class 10 Maths 2026

To excel in the RBSE 2026 exams, students should adopt a systematic approach to Mathematics:

• Focus on Concepts: Instead of rote learning, understand the derivation of formulas, especially in Trigonometry and Algebra.

• Regular Practice: Solve at least one model paper like HUNKAR every week to improve speed and accuracy.

• Step-wise Marking: Remember that RBSE boards provide marks for each step. Always show your calculations clearly.

• Revision of Theorems: Regularly revise theorems from Triangles and Circles as they are often asked in the long answer section