CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02

Mathematics
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Read the CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02 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.

Solved Sample Paper for Class 10 Mathematics PDF

Check out our Class 10 Mathematics model papers to get familiar with expected questions and chapter weightage. Practicing these guess papers regularly improves your speed and fixes weak concepts. You can also explore our historical Class 10 Mathematics Question Papers to boost your confidence further.

Mathematics Sample Papers for Class 10 (2026-27)

SECTION – A
 
Question : Find the discriminant of the quadratic equation 3x2 − 2√2x − 2√3 = 0 .
OR
The sum of the squares of two consecutive natural numbers is 41. Represent this situation in the form of a quadratic equation.
Answer : The given equation is √3x2 − 2√2x − 2√3 = 0.
Here, a = √3, b = − 2√2 and c = − 2√3
Now, D = b2 – 4ac
D = (−2√2)2 − 4 × √3 × (−2√3) = 8 + 24 = 32
OR
The sum of the squares of two consecutive natural numbers is 41. Represent this situation in the form of a quadratic equation.
Answer :  Let the two consecutive natural numbers be x and x + 1.
Then, their squares are x2 and (x +1)2 respectively.
∴ The required equation is, x2 + (x + 1)2 = 41
⇒ x2 + x2 + 1 + 2x = 41
⇒ 2x2 + 2x – 40 = 0 ⇒ x2 + x – 20 = 0
 
Question : Find the roots of the quadratic equation x2 + 4√2x + 6 = 0.
Answer : We have, x2 + 4√2x + 6 = 0
⇒ x2 + 3√2 x + √2 x + 6 = 0
⇒ x(x + 3√2) + 2 (x + 3√2) = 0
⇒ (x + 2)(x + 3√2) = 0
⇒ x = − 2 or x = −3√2
∴ Roots are − 2 and − 3√2.
 
Question : XY and MN are the tangents drawn at the end points of the diameter DE of the circle with centre O. Prove that XY || MN.
Answer : Since, XY is the tangent to the circle at the point D.
 
S
 
⇒ OD ⊥ XY ⇒ ∠EDX = 90°
Also, MN is the tangent to the circle at E.
⇒ OE ⊥ MN ⇒ ∠ DEN = 90°
As, ∠EDX = ∠DEN (each 90°)
which are alternate interior angles.
⇒ XY ||MN

 

Question : An inter house cricket match was organized by a school. Distribution of runs made by the students is given below. Find the median runs scored.
S-

Answer :

S-1

 

Question : Find the common difference of the AP 4, 9, 14, … If the first term changes to 6 and the common difference remains the same then write the new AP.
Answer : Given A.P. is 4, 9, 14, ...
So, common difference, d = 9 – 4 = 5
If the first term is 6 and common difference is 5, so new A.P. will be 6 , 6 + 5, 6 + 10, ... i.e., 6, 11, 16, ...
 
Question : Three cubes each of volume 64cm3 are joined end to end to form a cuboid. Find the total surface area of the cuboid so formed?
OR
The material of a cone is converted into the shape of a cylinder of equal radius. If height of the cylinder is 8 cm, then find the height of the cone.
Answer : Let a be the side of each cube and l, b and h be the length, breadth and height of the cuboid.
Given, volume of cube = 64 cm3
⇒ a3 = 64 ⇒ a = 4 cm
Also, l = 3a = 12 cm, b = a = 4 cm and h = a = 4 cm
So, total surface area of cuboid = 2(lb + bh + hl)
= 2 (48 + 16 + 48)
= 224 cm2.
OR
The material of a cone is converted into the shape of a cylinder of equal radius. If height of the cylinder is 8 cm, then find the height of the cone.
Answer : Let r be the radius of cone & cylinder and h be the height of cone.
∵ Volume of cone = Volume of cylinder
∴ 1/3 πr2h = πr2(8) ⇒ h = 3 × 8 = 24 cm
 

 


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CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02 & Sample Question Papers for Class 10 Mathematics

Class 10 Mathematics CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02 PDF Download Guide

Obtain the CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02 directly from our site to boost your exam readiness. Learning the precise blueprint behind question creation is essential for Class 10 learners aiming for high grades. Working through these latest Mathematics model sets exposes you to likely exam questions. Utilize the PDF format download for offline study, simulating real exam constraints at home.

Why Practice Class 10 Mathematics Model Papers?

  • Updated Question Pool: Features brand new questions for Mathematics distinct from past year archives.
  • Curriculum Insights: Regular practice clarifies chapter-wise marks distribution and formatting styles for Class 10.
  • Targeted Improvement: Track performance drops across sets to isolate specific Class 10 Mathematics topics needing extra attention.
  • Time Efficiency: Practicing both MCQs and subjective problems for Class 10 Mathematics builds critical pacing to finish papers timely.

How to Analyze Your Performance in CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02

  1. Self-Evaluation: Score your answers using the official guidance found in the Mathematics Sample Paper PDF.
  2. Targeted Correction: Class 10 pupils must re-solve questions answered incorrectly to master the correct method.
  3. Core Review: Look up challenging questions inside the NCERT book for Class 10 Mathematics to build solid fundamentals.
  4. Regular Practice: Solve extra Mathematics sample modules online to maximize preparedness for upcoming CBSE evaluations.

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