CBSE Class X Practice Paper - 2 2021-22 | Term 2 ~ Goyanka Maths Study - GMS - Learning Simply
Students' favourite free learning app with LIVE online classes, instant doubt resolution, unlimited practice for classes 6-12, personalized study app for Maths, Science, Social Studies, video e-learning, online tutorial, and more. Join Telegram

CBSE Class X Practice Paper - 2 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 availa
Please wait 0 seconds...
Scroll Down and click on Go to Link for destination
Congrats! Link is Generated

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

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

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



TERM – 2

Mathematics,( 041 )

TIME : 2 hrs.       MM. 40

General Instructions:
1. The question paper consists of 14 questions divided into 3 sections A, B, C.
2. All questions are compulsory.
3. Section A comprises of 6 questions of 2 marks each. Internal choice has been provided in two questions.
4. Section B comprises of 4 questions of 3 marks each. Internal choice has been provided in one question.
5. Section C comprises of 4 questions of 4 marks each. An internal choice has been provided in one question. It contains two case study based questions.


Q1. If x = 2/3 and x = -3 are roots of the quadratic equation ax2 +7x + b = 0 , find the value of a and b .

Q2. The radii of two concentric circles are and 8 cm . AB is a diameter of bigger circle and BD is a tangent to the smaller circle touching it at D and intersecting the larger circle at P on producing . Find the length of AP .

Q3. Median of a data is 52.5 and its mean is 54 , use empirical relationship between three measures of central tendency  to find its mode .

Q4. Solve for x : √(2x+9) +x = 13


  If 2 is a root of the quadratic equation 3x2 + p x – 8 = 0 and 4x2 – 2px + k = 0 has equal roots , find k .

Q5. Prove that the nth term of an AP. Can not be n2 + 1 . justify your answer .


Find the value of a, b ,and c such that the numbers a , 7 , b,  23 and c are in A.P.

Q6. The surface area of two spheres are in ratio 16 : 9 . Find the ratio of their volumes .


Q7. If the mean of the following data is 14.7 , find the values of p and q




















Q8 . Draw two concentric circles  of radii 2 cm and 5 cm . Take a point P on the outer circle and construct a pair of tangents PA and PB to the smaller circle . Measure PA

Q9. From the top of a cliff 20 m high , the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower . Find the height of the tower .

Q10 . A right circular cylinder and a cone have equal bases and equal heights . If their curved surface areas are in the ratio 8 : 5 , Find the ratio between radius of their bases and their heights .


A metallic cylinder has radius 3 cm and height 5 cm . To reduce its weights , a conical hole is drilled in the cylinder . The conical hole has a radius of 3/2 cm and its height 8/9 cm . Calculate the ratio of the volume of metal left in the cylinder to the volume of the metal taken out in conical shape .


Q11. A triangle ABC is drawn to circumscribe a circle of radius 3 cm. , such that it touches side BC at D . If BD = 6 cm. and CD = 9 cm. and area of triangle ABC is 54 cm2 , find the lengths of sides AB and AC .


AB is chord of length 8 cm. of a circle of radius 5 cm. The tangents to the circle at A and B intersect at P . Find the length of AP .

Q12. A hemispherical depression is cut out from one face of a cubical block of side 7 cm. . Find the surface area of the remaining solid .

Q13. Case Study – 1

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.

(1)          What is the minimum number of days he needs to practice till his goal is achieved

(2)          The value of x, for which 2x, x+ 10, 3x + 2 are three consecutive terms of an AP

14. Case study – 2

A group of students of class X visited India Gate on an education trip. The teacher and students had interest in history as well. The teacher narrated that India Gate, official name Delhi Memorial, originally called All-India War Memorial, monumental sandstone arch in New Delhi, dedicated to the troops of British India who died in wars fought between 1914 and 1919. The teacher also said that India Gate, which is located at the eastern end of the Rajpath (formerly called the Kingsway), is about 138 feet (42 metres) in height.

1.   What is the angle of elevation if they are standing at a distance of 42m away from the monument?

2. They want to see the tower at an angle of 60o. So, they want to know the distance where they should stand and hence find the distance.

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 

About the Author

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s visio…

Post a Comment

Cookie Consent
We serve cookies on this site to analyze traffic, remember your preferences, and optimize your experience.
It seems there is something wrong with your internet connection. Please connect to the internet and start browsing again.
AdBlock Detected!
We have detected that you are using adblocking plugin in your browser.
The revenue we earn by the advertisements is used to manage this website, we request you to whitelist our website in your adblocking plugin.
Site is Blocked
Sorry! This site is not available in your country.