Select Board & Class

Login

Board Paper of Class 10 Maths (Basic) Term-II 2022 Delhi(Set 1) - Solutions

General Instructions:

(i) This question paper contains 14 questions. All questions are compulsory.

(ii) This Question Paper is divided into 3 Sections – Section A, B and C.

(iii) Section – A comprises of 6 questions (Q. Nos. 1 to 6) of 2 marks each.

Internal choice has been provided in two questions.

(iv) Section – B comprises of 4 questions (Q. Nos. 7 to 10) of 3 marks each.

Internal choice has been provided in one question.

(v) Section – C comprises of 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 based questions.

(vi) Use of calculator is not permitted.



  • Question 1
    Find the nature of the roots of the quadratic equation : 4x2 – 5x – 1 = 0 VIEW SOLUTION


  • Question 2
    Find the common difference of an A.P. whose nth term is given by an = 6n – 5.

    OR


    Which term of the A.P. 3, 8, 13, 18, ... is 78 ? VIEW SOLUTION


  • Question 3
    3 Cubes each of 8 cm edge are joined end to end. Find the total surface area of the cuboid so formed. VIEW SOLUTION


  • Question 4
    In Fig. perimeter of ∆PQR is 20 cm. Find the length of tangent PA.

    OR


    In Fig., BC is tangent to the circle at point B of circle centered at O.
    BD is a chord of the circle so that ∠BAD = 55º. Find m∠DBC.
    VIEW SOLUTION


  • Question 5
    Find the mode of the following frequency distribution :
     
    Class :  20 - 30 30 - 40  40 - 50 50 - 60 60 - 70
    Frequency : 25 30 45 42 35
     
    VIEW SOLUTION


  • Question 6
    Find the sum of the first fifteen multiples of 8. VIEW SOLUTION


  • Question 7
    Draw a circle of radius 2.5 cm. Construct a pair of tangents from a point P at a distance of 6 cm from the centre of the circle. VIEW SOLUTION


  • Question 8
    At a point on level ground, the angle of elevation of a vertical tower is, found to be α such that tan α=13. After walking 100 m towards the tower, the angle of elevation β becomes such that tan β=34. Find the height of the tower.

    OR


    As observed from the top of a light house 100 m above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30° to 45°. Determine the distance travelled by the ship during this time. Use 3=1.73
    VIEW SOLUTION


  • Question 9
    Find the mean of the following frequency distribution :
     
    Class : 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35
    Frequency :  4 10 5 6 5
    VIEW SOLUTION


  • Question 10
    The median of following frequency distribution is 25. Find the value of x.
     
    Class: 0-10 10-20 20-30 30-40 40-50
    Frequency: 6 9 10 8 x
    VIEW SOLUTION


  • Question 11
    Prove that a parallelogram circumscribing a circle is a rhombus.

    OR


    Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle. VIEW SOLUTION


  • Question 12
    The sum of the ages of a boy and his sister (in years) is 25 and product of their ages is 150. Find their present ages. VIEW SOLUTION


  • Question 13
    Case Study – 1

    Qutub Minar, located in South Delhi, India, was built in the year 1193. It is 72 m high tower. Working on a school project, Charu and Daljeet visited the monument. They used trigonometry to find their distance from the tower. Observe the picture given below. Points C and D represent their positions on the ground in line with the base of tower, the angles of elevation of top of the tower (Point A) are 60° and 45° from points C and D respectively.



    (1) Based on above information, draw a well-labelled diagram.

    (2) Find the distances CD, BC and BD.(use 3= 1.73) VIEW SOLUTION


  • Question 14
    Case Study – 2

    A solid cuboidal toy is made of wood. It has five cone shaped cavities to hold toy carrots.
    The dimensions of the toy are cuboid –10 cm × 10 cm × 8 cm.
    Each cone carved out – Radius = 2.1 cm and Height = 6 cm.



    (1) Find the volume of wood carved out to make five conical cavities.

    (2) Find the volume of the wood in the final product. VIEW SOLUTION
More Board Paper Solutions for Class 10 Maths
Board Paper Solutions for Other Subjects

Board Paper Solutions for Class 10 Science

Board Paper Solutions for Class 10 English

Board Paper Solutions for Class 10 Social Science

Board Paper Solutions for Class 10 Hindi

What are you looking for?

Syllabus