CBSE Class X Practice Paper – 3 2021-22 | Term 2 ~ Goyanka Maths Study

CBSE Term-2 Model Question Papers and CBSE Term-2 Subjective Sample Papers based on the newly revised syllabus for the session 2021-22 are only available here. Download the best model question papers for 2022 Term-1 and Term-2 exams for free. We at provide the best CBSE Sample Question Papers, Term 2 Model Papers and Guess Papers for free practice. Students can download CBSE latest model question papers from  and CBSE official website. There are lots of changes in CBSE question paper pattern this year.

CBSE new exam pattern and marking scheme for the session 2021-22 has many changes. These new model papers includes:

  1. SAQ – Short Answer Type Questions
  2. CBQ – Case Based Questions is the only platform where you can find the revised question papers with the complete solution. We have CBSE sample papers for class 12, class 11, class 10 and class 9 annual exams including both Term-1 MCQ and Term-2 Subjective. The model question papers and CBSE guess papers help the student to get better scores in the board exam. CBSE Students should practice Subjective Sample question papers as much as possible to get a better understanding of the concepts and to know the weak areas where you need to work a bit harder.

Check : Class 10 Maths: Case Study Questions for Term 2 PDF Download

CBSE Term 2 Sample Papers 2021-22 for Class-10 with Solution PDF

Class – X (Term – 2)
Mathematics (241)

General Instructions:

        I.            The question paper consists of 14 questions divided into 3 sections- A,B,C.

      II.            All questions are compulsory, however there are some internal choices given in each section.

    III.            Section A comprises 6 questions of 2 marks each, section B consists of 4 questions of 3 marks each, and Section C consists of 4 questions of 4 marks. It contains two case studies.


Q.1 Which term of the AP : 3,15,27…….. will be 132 more than its 54thterm.
The 4th term of an AP is zero. Prove that its 25th term is three times its 11th term.

Q.2 Find the value of k which the quadratic equation 2x2 + kx + 3 = 0 has equal roots.
Find the roots of the quadratic equation : 2x2 + x + 6 = 0.

Q.3 A cubical block of side 7cm is surmounted by a hemisphere of diameter 4.2cm. What will be the double of the surface area of the solid.


.4 Find the mode of the data given below:

C.I. :- 1-3, 3-5, 5-7, 7-9, 9-11
Frequency : 7, 8, 2, 2, 3

Q.5 A quadrilateral is drawn to circumscribe a circle. Prove that AB + CD = AD + BC.

Q.6 Mean of the data is 18, find the missing frequency:
C.I. :- 11-13, 13-15, 15-17, 17-19, 19-21, 21-23, 23-25
Frequency : 7 , 6 , 9 , 13 , f , 5 , 4


Q7. How many terms of the AP must be taken so that their sum is 78.
AP: 24,21,18,15,…….

Q.8 Two poles of equal height are standing opposite each other on either side of the road 80m wide. From a point between them on the road the angle of elevation of the top of two poles are respectively 60⁰ and  30⁰. Find the height of the poles.
From a point P on the ground the angle of elevation of the top of a 10m tall building is 30⁰. A flag is hoisted at the  top of the building and the angle of the top of the flagstaff is 45⁰. Find the length of the flagstaff.

Q.9 PQ is a chord of length 16cm of a circle of radius 10cm. The tangents at P and Q intersect at point T. Find the length TP.

Q.10 A train travels 360km at a uniform speed. If the speed had been 5km/h more, it would have been taken 1 hr less for the same journey. Find the speed of the train.

Q.11 If median of the data is 28.5 and sum of frequencies is 60, find the values of x and y:
C.I. :- 0-10, 10-20, 20-30, 30-40, 40-50, 50-60
Frequency : 5 x          20        15         y          5

Check : CBSE Class 10,12 Datesheet Finally Released, Check It Now!

Q.12 Construct a pair of tangents to a circle of radius 4cm which are inclined to each other at an angle of 60⁰.
Draw a circle of radius 3cm. Take two points P and Q on one of its extended diameter each at a distance of 7cm from its centre. Draw tangents to the circle from these two points.

Q.13 Case Study-I
A guard stationed at top of a lighthouse of Mumbai harbour observes a ship at an angle of depression of 30⁰ which is approaching the foot of the lighthouse with a uniform speed. The guard raise an alarm for his help. Ten minutes, he found the angle of depression of the ship is 60⁰. Assuming that the ship is moving in a straight line towards the lighthouse, find the remaining time required by the ship to hit the lighthouse.

Check : कैलेंडर से संबंधित प्रश्नों को हल करने की विधि [Tricks to solve Calendar Question in easy way]

Case Study-II
Your friend Veer wants to participate in a 200m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to do in 31 seconds


(i). What is the value of x, for which 2x, x+ 10, 3x + 2 are three consecutive terms of an AP?
(ii). If nth term of an AP is given by an = 2n + 3 then common difference of an AP is?

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How to use CBSE Sample Papers

CBSE provides sample question papers for practice every year 2-3 months in advance. It helps students, teachers and schools to understand the actual question paper pattern, blueprint and marking scheme. It gives an idea about the difficulty level of the question paper and weightage given to each chapter. It also provides an insight about the changes made by CBSE in any subject in terms of question paper design and number of the question being asked in the board exam. Here are some tips on how to use CBSE sample question papers for best results.

  • Study the pattern of question paper carefully and note down the major features.
  • Check the weightage given to each chapter.
  • Look for numerical questions and the chapters from these are asked.
  • Have an overview of difficulty level of the questions.
    • Now, revise your notes and check if you missed any important point.
    • If so, add it to your notes.
    • Once you have gone through the question paper, try to solve it in given time.
    • Prefer the time 10:30 am to 1-1:30 pm as it is the actual time the question paper given to you in examination hall.
    • Now get it checked by your teacher/tutor or check it yourself with the help of marking scheme given alongwith the question paper.
    • Download more such sample papers from app or website and practice them regularly.

    How to learn and practice

    Students usually avoid written practice. Do not take it lightly. Do practice sample question papers regularly in pen paper format. It will not only help you to review your writing speed but also accelerate the retention process. You will be able to remember the answers for the longer time if you write twice and thrice by our own.

    1. Take your own test in writing
    2. Review your mistakes
    3. Learn and revise the weak topics
    4. Take the test again sample papers and test papers are available for download in website. CBSE sample papers can also be downloaded from CBSE official website 

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