CBSE Class 10 Mathematics Sample Paper Set 03

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Review targeted exam resources with the CBSE Class 10 Mathematics Sample Paper Set 03. Built according to official CBSE standards for the 2026-27 academic year, these downloadable Class 10 Mathematics sample papers support effective revision and performance tracking.

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View or download the dedicated CBSE Class 10 Mathematics Sample Paper Set 03 resource below. Engaging with these sample papers under timed conditions ensures continuous academic progress and mastery of the 2026-27 exam format.

SECTION-A

1 Find the length of the side of the rhombus whose diagonals measure 16 cm and 12 cm respectively.

2 Find the product of cos 30°.cos 60°.cos 90°.

3 If secθ+tanθ=x, find the value of secθ−tanθ. 

SECTION-B

4 Prove that 5 − √2 is an irrational number.

5 Check whether 4n can end with the digit 0 for any natural number n.

6 If x2 +2x+k is completely divisible by x−1 by using division algorithm, then find the value of k.

7 Write the values of sin 00, sin 300, sin 450, sin 600 and sin 900. What happens to the values of sin q, as q increases from 00 to 900 ?
 
8 Two tankers contain 620 litres and 840 litres of diesel respectively. Find the maximum capacity of a container which can measure the diesel of both the tankers in exact number of times.
 
9 Find all the zeroes of the polynomial x3+3x2−2x−6, if two of its zeroes are − 2 and 2 . 3
 
10 The sum of two natural numbers is 240 and they are in the ratio, 3 : 5. Find the numbers.
 
11 A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad. It is to be paved with square tiles of the same size. Find the least possible number of such tiles.
 
12 Draw the graph of the following pair of linear equations : x+3y=6 and 2x−3y=12
Find the ratio of the areas of the two triangles formed by first line, x=0, y=0 and second line x=0, y=0
 
13 If the polynomial 6x4+8x3+17x2+21x+7 is divided by another polynomial 3x2+4x+1, the remainder comes out to be (ax+b), find a and b.
 
14 A NGO decided to distribute books and pencils to the students of a school running by some other NGO. For this they collected some amount from different number of people. The total amount collected is represented by 4x4+2x3−8x2+3x−7. The amount is equally divided between each of the students. The number of students, who received the amount is represented by x−2+2x2. After distribution, 5x−11, amount is left with the NGO which they donated to school for their infrastructure. Find the amount received by each student from the NGO.
What value have been depicted here ?
 
15 “In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle”. Prove it.

 

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Exam Preparation Sample Paper for Class 10 Mathematics CBSE Class 10 Mathematics Sample Paper Set 03

Access Sample Papers for Class 10 Mathematics

Review model practice papers for Class 10 Mathematics. Working through the CBSE Class 10 Mathematics Sample Paper Set 03 under simulated test conditions at home ensures complete familiarity with upcoming school evaluations.

Why Practice Class 10 Mathematics Sample Papers?

  • Original Practice Material: Access unique questions for Mathematics designed to challenge your understanding.
  • Self-Assessment: Evaluate scores per set to pinpoint weak zones in Class 10 Mathematics.
  • Exam Completion Skills: Routine problem sets train you to manage test duration efficiently without stress.

How to Analyze Your Performance in CBSE Class 10 Mathematics Sample Paper Set 03

  1. Verify Answers: Compare your responses against professional teacher solutions provided in the sample paper keys.
  2. Error Analysis: Class 10 learners must review incorrect answers carefully to understand underlying mistakes.
  3. Concept Reinforcement: Consult the official NCERT book for Class 10 Mathematics when stuck before re-attempting problems.

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Yes, CBSE Class 10 Mathematics Sample Paper Set 03 comes with detailed, teacher-verified solutions. We have provided step-by-step answers for Mathematics to help students of Class 10 understand correct methodology and marking scheme.

How can practicing CBSE Class 10 Mathematics Sample Paper Set 03 help in exam preparation?

Practicing this Mathematics paper helps in time management and identifying important topics. For Class 10, solving mock papers is the best way to gain confidence and reduce exam-day anxiety.

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