CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02

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Sample Question Papers for Class 10 Mathematics

Explore authentic exam practice materials through the CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02. Tailored for Class 10 learners, utilizing these Mathematics sample papers ensures thorough preparation and strengthens time management skills before final CBSE evaluations.

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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

Review model practice papers for Class 10 Mathematics. Working through the CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02 under simulated test conditions at home ensures complete familiarity with upcoming school evaluations.

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  • 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.

Steps to Follow After Completing CBSE Class 10 Mathematics Term 2 Sample Paper 2022 Set 02

  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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