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 https://myncertguide2020.blogspot.com/ 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 https://myncertguide2020.blogspot.com/ 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:

- SAQ - Short Answer Type Questions
- CBQ - Case Based Questions

https://myncertguide2020.blogspot.com/ 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

**PRACTICE PAPER –2**

**
2021-22**

**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.

**SECTION - A**

Q1. If x = 2/3 and x = -3 are roots of the
quadratic equation ax^{2} +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

**OR**

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

Q5. Prove that the nth term of an AP. Can not be
n^{2} + 1 . justify your answer .

**OR**

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 .

**SECTION – B**

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

Class |
0-6 |
6-12 |
12-18 |
18-24 |
24-30 |
30-36 |
36-42 |
Total |

Frequency |
10 |
p |
4 |
7 |
q |
4 |
1 |
40 |

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 .

**OR**

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 .

**SECTION – C**

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 cm^{2} , find the lengths of
sides AB and AC .

**OR**

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 60 ^{o}. 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 https://myncertguide2020.blogspot.com/ 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.

- Take your own test in writing
- Review your mistakes
- Learn and revise the weak topics
- Take the test again

https://myncertguide2020.blogspot.com/ sample papers and test papers are available for download in https://myncertguide2020.blogspot.com/ website. CBSE sample papers can also be downloaded from CBSE official website cbse.nic.in.