Mathematics Standard X Sample Paper 01 - Solved

Preparing for Class X Board Examinations requires consistent practice. This page provides a comprehensive walkthrough of a representative Sample Paper for Mathematics (Standard), focusing on core concepts, logical reasoning, and precision in calculation.

Section A: Multiple Choice Questions

Q1. If two positive integers a and b are written as a = xy and b = xy, where x, y are prime numbers, then HCF(a, b) is:

Solution: The HCF is the product of the lowest power of each common prime factor. Lowest power of x is x. Lowest power of y is y. Therefore, HCF = xy.

Q2. The value of k for which the system of equations x + y - 4 = 0 and 2x + ky = 3 has no solution is:

Solution: For no solution, the lines must be parallel, so a1/a2 = b1/b2 c1/c2. 1/2 = 1/k. Therefore, k = 2.

Section B: Short Answer Questions

Q3. Find the roots of the quadratic equation 2x - 5x + 3 = 0 by factorization.

Solution: 2x - 2x - 3x + 3 = 0 2x(x - 1) - 3(x - 1) = 0 (2x - 3)(x - 1) = 0 x = 3/2 or x = 1.

Q4. In a circle of radius 21 cm, an arc subtends an angle of 60 at the center. Find the length of the arc.

Solution: Arc length = (/360) * 2 * * r = (60/360) * 2 * (22/7) * 21 = (1/6) * 2 * 22 * 3 = 22 cm.

Section C: Long Answer Type

Q5. State and prove the Basic Proportionality Theorem (Thales Theorem).

Solution: Statement: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Proof: 1. Given: Triangle ABC with DE || BC. 2. Construction: Join BE and CD. Draw EF AB and DG AC. 3. Area(ADE) / Area(BDE) = (1/2 * AD * EF) / (1/2 * DB * EF) = AD/DB. 4. Area(ADE) / Area(CDE) = (1/2 * AE * DG) / (1/2 * EC * DG) = AE/EC. 5. Since Area(BDE) = Area(CDE) (triangles on same base DE and between same parallels), therefore AD/DB = AE/EC. Q.E.D.

Conclusion and Tips for Success

Mathematics Standard X requires a strong grasp of formulas and the ability to apply them to word problems. When solving these papers, remember to:

Show your working: Step-wise marks are awarded in board exams.
Verify calculations: Always re-check your final arithmetic, especially in quadratic and trigonometric problems.
Draw diagrams: In geometry and surface area/volume questions, a neat diagram often makes the solution process much clearer.
Time management: Practice solving within the 3-hour limit to ensure you can complete the entire paper during the final examination.

Reference Files For Mathematics Standard X Sample Paper 01 Solved

Screenshoot

File Name

cbjemass01.pdf

File Size

0.60 MB

File Type

PDF

File Site

Jagomart.net

Description

This file is just a reference file for Mathematics Standard X Sample Paper 01 Solved. Does not guarantee that the specific things you want are included in it.

Download on the Jagomart.net website

Direct download (wait 10 seconds)

Mathematics Standard X Sample Paper 01 Solved and Reference File Download Link

Admin

2026-06-10 10:36:10

Mathematics Standard X Sample Paper 05 Solved and Reference File Download Link

Admin

2026-06-10 10:42:10

Mathematics IX Solved Sample Paper 1 and Reference File Download Link

Admin

2026-06-13 23:42:15

A Level Mathematics A H240/01 Pure Mathematics Sample Question Paper and Reference File Do...

Admin

2026-06-12 02:48:12

General Knowledge Solved Paper and Reference File Download Link

Admin

2026-06-13 09:14:08