English Medium
Academic Year: 2021-2022
Date & Time: 5th May 2022, 10:30 am
Duration: 2h
Advertisements
General Instructions :
- This question paper consists of 14 questions All questions are compulsory.
- This question paper is divided into 3 Sections - Sections A, B, and C.
- Section A comprises 6 questions (Q Nos. 1 to 6) of 2 marks each. Internal choice has been provided in two questions.
- Section B comprises 4 questions (Q Nos. 7 to 10) of 3 marks each. Internal choice has been provided in one question.
- Section C comprises 4 questions (Q Nos. 11 to 14) of 4 marks each. An Internal choice has been provided in one question. It also contains two case study board questions.
- Use of calculator is not permitted.
Find the 15th term from the end (towards first term) of the A.P. 3, 8, 13,....., 253.
Chapter:
Write the next two terms of the A.P. :
`sqrt5, sqrt20, sqrt45, .......`
Chapter:
The distance between two tangents parallel to each other of a circle is 13 cm. Find the radius of the circle.
Chapter: [0.042] Circles
Find the sum of the lower limit of the modal class and upper limit of the median class for the following distribution.
| Class: | 50 – 55 | 55 – 60 | 60 – 65 | 65 – 70 | 70 – 75 | 75 – 80 |
| Frequency: | 10 | 15 | 8 | 13 | 9 | 5 |
Chapter:
Find the curved surface area of a right circular cone whose height is 15 cm and base radius is 8 cm. `["Use" pi = 22/7]`
Chapter:
Advertisements
The surface area of a sphere is 616 sq cm. Find its radius. `["Use "pi = 22/7]`
Chapter:
The frequency distribution for agriculture holdings in a village is given below:
| Area of land (in hectares) | 1 – 3 | 3 – 5 | 5 – 7 | 7 – 9 | 9 – 11 | 11 – 13 |
| Number of families | 20 | 45 | 80 | 55 | 40 | 12 |
Find the modal agriculture holding per family.
Chapter: [0.071] Statistics
Draw a line segment of length 7 cm and divide it in the ratio 5 : 3.
Chapter: [0.033] Constructions
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
Chapter: [0.023] Quadratic Equations
The length of a rectangular park is 5 metres more than twice its breadth. If the area of the park is 250 sq. m, find the length and breadth of the park.
Chapter: [0.023] Quadratic Equations
Advertisements
The sum of first n terms of an AP is given by Sn = 3n2 + 2n. Find the AP.
Chapter:
The string of a kite is 100 metres long and it makes an angle of 60° with the horizontal. Find the height of the kite, assuming that there is no slack in the string. `["Use"sqrt3 = 1.73]`
Chapter:
As observed from the top of a 100 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. [Use `sqrt3` = 1.732]
Chapter: [0.053] Some Applications of Trigonometry
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
Chapter: [0.042] Circles
If a circle is touching the side BC of ΔABC at P and is touching AB and AC produced at Q and R respectively (see the figure). Prove that AQ = `1/2` (perimeter of ΔABC).
Chapter: [0.042] Circles
Read the following passage and answer the questions given below.
|
Electric buses are becoming popular nowadays. These buses have the electricity stored in a battery. Electric buses have a range of approximately 280 km with just charge. These buses are superior to diesel buses as they reduce brake wear and also reduce pollution. 'transport department of a city wants to buy some electric buses for the city. So, the department wants to know the distance travelled by existing public transport buses in a day. The following data shows the distance travelled by 50 existing public transport buses in a day.
|
| Daily distance travelled (in km) | 100 – 120 | 120 – 140 | 140 – 160 | 160 – 180 | 180 – 200 |
| Number of buses | 12 | 14 | 8 | 6 | 10 |
- Find the 'median' distance travelled by a bus.
- Find the 'mean (average)' distance travelled by a bus.
Chapter: [0.071] Statistics
|
A company deals in casting and moulding of metal on orders received from its clients. In one such order, company is supposed to make 50 toys in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of hemisphere. If the radius of the base of the cone is 21 cm and height is 28 cm.
|
- find the volume of 50 toys:
- fine the ratio of the volume of hemisphere to the volume of cone.
Chapter: [0.062] Surface Areas and Volumes
Other Solutions
Submit Question Paper
Help us maintain new question papers on Shaalaa.com, so we can continue to help studentsonly jpg, png and pdf files
CBSE previous year question papers Class 10 Mathematics with solutions 2021 - 2022
Previous year Question paper for CBSE Class 10 Maths-2022 is solved by experts. Solved question papers gives you the chance to check yourself after your mock test.
By referring the question paper Solutions for Mathematics, you can scale your preparation level and work on your weak areas. It will also help the candidates in developing the time-management skills. Practice makes perfect, and there is no better way to practice than to attempt previous year question paper solutions of CBSE Class 10.
How CBSE Class 10 Question Paper solutions Help Students ?
• Question paper solutions for Mathematics will helps students to prepare for exam.
• Question paper with answer will boost students confidence in exam time and also give you an idea About the important questions and topics to be prepared for the board exam.
• For finding solution of question papers no need to refer so multiple sources like textbook or guides.
