CBSE Term 2 Question Paper for Class 10 – Maths Standard
Question Papers for Maths Standard of Class 10 Exam are important enough for students to practice answer writing style. Maths Standard is one of the most popular subjects in CBSE Examination Board. Every student works a fear towards exams. The Sample Questionnaire appears to be a way to overcome that fear. Class 10 Exam syllabus is much longer. Model Q&A is created based on the complete syllabus. And based on this question and answer, the students get an idea of how they will prepare for the exam. Experts prepare this Question Paper according to the syllabus. Stay involved in the previous year question paper. Seeing the Q&A of it gives the students a special idea on the division of marks. These ideas increase students’ Class 10 in Maths Standard.
CBSE Term 2 Question Paper Class 10 Exam Maths Standard
Board |
Central Board of Secondary Education 2022 (CBSE Term 2) |
Class |
10th |
Subject |
Maths Standard |
Topic |
Question Paper |
Section – A
(1) Solid piece of metal in the form of a cuboid of dimensions 11 cm ×7 cm × 7cm is melted to form ‘n’ number of solid spheres of radii 7/2 cm each. Find the value of n.
(2) (a) In Fig. 1, AB is diameter of a circle centered at O. BC is tangent to the circle at B. If OP bisects the chord AD and ∠AOP = 60°, then find m∠c.
(b) In Fig. 2, XAY is a tangent to the circle centered at O if ∠ABO = 40°, then find m∠BAY and m∠AOB.
(3) (a) Which term of the A.P. 11/2 – 3, – 1/2 ….. is 49/2 ?
Or
(b) Find n and b so that the numbers a, 7, b, 23 are in AP.
Find the sum of first 20 terms of an A.P. whose nth term is given as an = 5 – 2n.
Solve the quadratic equation: x2 – 2ax + (a2 – b2) = 0 for x
I mode of the following frequency distribution is 55, then find the value of x.
Class: |
0 – 15 | 15 – 30 | 30 – 45 | 45 – 60 | 60 – 75 |
75 – 90 |
Frequency: |
10 | 7 | x | 15 | 10 |
12 |
Section B
(7) Heights of 50 students of class x of a school are recorded and following data is obtained:
Height (In cm) : | 130 – 135 | 135 – 140 | 140 – 145 | 145 – 150 | 150 – 155 | 155 – 160 |
Number of Students: | 4 | 11 | 12 | 7 | 10 | 6 |
Find the median height of the students.
(8) (a) The mean of the following frequency distribution is 25. Find the value of f.
Class: | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
Frequency: | 5 | 18 | 15 | f | 6 |
(b) Find the means of the following data using assumed mean method:
Class: | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 |
Frequency: | 8 | 7 | 10 | 13 | 12 |
(9) Two men on either side of a cliff 77m high observe the angles of elevation of the top of the cliff to be 30° and 60°. Find the distance between the two men.
(10) Construct a pair of tangents in a circle of radius 3cm which are incline to each other at an angle of 60°.
Section C:
(1) (a) The sum of two numbers is 34. If 3 is subtracted from one number and 2 is added to another, the product of these two numbers becomes 260. Find the numbers
or
(b) The hypotenuse (In cm) of a right angled triangle is 6cm more than twice the length of the shortest side. If the length of third side is 6cm less than thrice the length of shortest side, then find the dimensions of the triangle.
In Fig. 4 PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q meet at a point T. Find the length of TP.
Case Study – I
Kite Festival
Life festival is celebrated in many countries at different times of the year. In India, every year 14th January is celebrated as international Kite Day. On this day many people visit India and participate in the festival by various kinds of kites.
The picture given below, shows three kites flying together.
In Fig. 5, the angles of elevation of two kites (Points A and B) from the bands of a man (Point C) are found to be 30°and 60° respectively. Taking AD = 50 m and BE = 60m, find
(1)The lengths of strings used (take them straight) for kites A and B as shown is the figure)
(2) The distance ‘d’ between these two kites
Case study – 2
(14)
A ‘circus’ is a company of performers who put on shows of acrobat, clowns etc. to entertain people started around 230 years back, in open fields, now generally performed in tents.
The test is in the shape of a cylinder surmounted by a conical tip. If the height and diameter of cylindrical part are 9m and 30m respectively and height of conical part is 8m with name diameter as that of the cylindrical part, then find
(1) The area of the canvas used in making the tent;
(2) The cost of the canvas bought for the tent at the rate ₹200 per sq m.If 30 sq m canvas was wasted during stitching.