CBSE Class 10 Mathematics Sample Paper Set 05

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Official CBSE Practice Papers for Class 10 Mathematics

Access comprehensive sample question papers for Class 10 Mathematics using the CBSE Class 10 Mathematics Sample Paper Set 05. Designed to align with the 2026-27 CBSE academic guidelines, these model papers help students assess their exam readiness and understand current marking schemes.

Solved Model Papers for Mathematics

Access the complete sample paper PDF for Class 10 Mathematics below. Regular practice with these targeted mock exams builds familiarity with expected question patterns and chapter weightage to help secure higher marks.

 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.

 

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Free study material for Mathematics

Model Practice Papers & Solutions for Class 10 Mathematics

Access Sample Papers for Class 10 Mathematics

Access structured sample papers for Class 10 Mathematics. Solving the CBSE Class 10 Mathematics Sample Paper Set 05 provided above helps students understand official exam blueprints and tackle anticipated question formats with confidence.

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.

Post-Practice Strategy for Class 10 Mathematics

  1. Self-Evaluation: Score your answers using official guidance to track your academic progress.
  2. Mistake Correction: Class 10 pupils must re-solve questions answered incorrectly to master the correct method.
  3. Continuous Practice: Take additional Mathematics sample modules online to maximize preparedness for CBSE evaluations.

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.