CBSE Class 10 Mathematics Sample Paper Set 05

Mathematics
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Read the CBSE Class 10 Mathematics Sample Paper Set 05 below. Find downloadable Class 10 Mathematics sample papers complete with answers, built according to the 2026-27 assessment guidelines of CBSE, NCERT, and KVS. Reviewing these sets helps every Class 10 learner measure their readiness for upcoming tests.

Practice Model Papers for Class 10 Mathematics

Our Class 10 Mathematics model papers are important for understanding the weightage of different chapters and the difficulty level of expected questions. By solving these guess papers Class 10 students can identify weak areas and improve time management. We also suggest referring to our Class 10 Mathematics Question Papers of previous years to further strengthen your exam preparation.

Mathematics Sample Papers for Class 10 (2026-27)

 SECTION-A

1 Find the number of integral value of x so that 22x2-7x +5=1.

2 The tops of two poles of height 18 m and 12 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, find the length of the wire.

3 A die is thrown once. Find the probability of getting an odd prime number which is less than 3.

4 Find co-ordinates of any one point lying on the perpendicular bisector of line segment joining the points(-1/2,5) and (11/2,3)

5 If the 2nd term of an AP is 8 and the 5th term is 17, find its 19th term.

6 Solve : 2x2−5x+3=0

7 Draw a line segment AB=12 cm and divide it in the ration 3 : 5.

8 Draw a circle of radius 3.6 cm. Take a point P outside the circle and construct a pair of tangents to the circle from that point.
 
9 A peacock is sitting on the top of a tree. It observes a serpent on the ground making an angle of depression of 300. The peacock with the speed of 300 m/minute catches the serpent in 12 seconds.What is the height of the tree ?
 
10 A bag contains 1000 pens with different colours. 100 pens are taken out from the bag, out of which 20 were red, 35 were green, 15 were blue and remaining were black in colour. A pen is picked up from these 100 pens. What is the probability that is the pen is
(a) not red
(b) green

11 If the point (x, y) is equidistant from the points (a−b, a+b) and (−a−b, a+b), prove that x−a=0.

12 With the help of distance formula, show that the points A(4, 2), B(7, 5) and C(9, 7) do not form a triangle.A conical hole is drilled in a circular cylinder of height 15 cm and radius 8 cm, which has same height and same base radius. Find the total surface area, after drilling of cone. (Use π=3.14)
 
13 A 15 cm long test tube having diameter of 3.6 cm has water upto a height of 6 cm. 20 spherical drops of oil of radius 9 mm are dropped into it. What length of the test tube remains empty ?
 
14 If the sum of first p terms of an AP is q and the sum of first q terms is p, show that the sum of first (p+q) terms is −(p+q).
 
15 Find the sum of first 25 terms of an AP, in which the third term is 7 and seventh term is two more than  thrice of its third term.

 

Please click the link below to download the full pdf file for CBSE Class 10 Mathematics Sample Paper Set E

Free study material for Mathematics

Model Practice Papers & Solutions for Class 10 Mathematics

Class 10 Mathematics CBSE Class 10 Mathematics Sample Paper Set 05 PDF Download Guide

Students can easily download the CBSE Class 10 Mathematics Sample Paper Set 05 from our website to prepare for their upcoming examinations. To score high marks, it is important for Class 10 students to understand the exact pattern as per which teachers design the question papers. We strongly suggest that you practice these latest sample papers for Mathematics and solve different types of questions that are expected to come this year. You can download in PDF format so that you can practice offline. We also recommend that Class 10 students solve these papers under actual exam conditions at home.

Maximize Your Scores with CBSE Class 10 Mathematics Sample Paper Set 05

  • Original Question Sets: Provides diverse practice questions for Mathematics to expand your problem-solving range.
  • Exam Structure Mastery: Understand exact mark allocations and question architectures relevant to Class 10 evaluations.
  • Gap Analysis: Check your accuracy levels to identify challenging Class 10 Mathematics concepts requiring deeper review.
  • Exam Completion Skills: Routine problem sets for Class 10 Mathematics train you to manage test duration efficiently without stress.

Post-Practice Strategy for Class 10 Mathematics

  1. Check Your Work: Match your answers with the solutions given by our teachers in the Mathematics Sample Paper PDF.
  2. Learn from Mistakes: Class 10 students should focus on the questions which you solved incorrectly and understand the error.
  3. Revision: If you find a question difficult you should refer to the NCERT book for Class 10 Mathematics to understand concepts and then try the question again.
  4. Continuous Practice: Solve multiple sets of Mathematics sample papers from our website to build confidence before the CBSE exams.

FAQs

Where can I download the PDF for CBSE Class 10 Mathematics Sample Paper Set 05?

You can download the complete PDF for CBSE Class 10 Mathematics Sample Paper Set 05 for free from StudiesToday.com. Our resources for Class 10 Mathematics are updated for the latest academic session and follow the official exam pattern.

Are solutions provided for CBSE Class 10 Mathematics Sample Paper Set 05?

Yes, CBSE Class 10 Mathematics Sample Paper Set 05 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 05 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.

Is the CBSE Class 10 Mathematics Sample Paper Set 05 accessible on mobile and tablets?

Yes, all our study materials for Class 10 Mathematics are provided in a mobile-friendly PDF format. You can easily download CBSE Class 10 Mathematics Sample Paper Set 05 on your mobile device.