CBSE Class 10CBSE
Share
Notifications

View all notifications

Mathematics All India Set 2 2016-2017 CBSE Class 10 Question Paper Solution

Login
Create free account


      Forgot password?
Mathematics [All India Set 2]
Marks: 90Date: 2017-04-02
Duration: 3h

[1]1

If a tower 30 m high, casts a shadow `10sqrt3` m long on the ground, then what is the angle of elevation of the sun?

Concept: Heights and Distances
Chapter: [4.01] Heights and Distances
[1]2

The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?

Concept: Probability Examples and Solutions
Chapter: [5.01] Probability
[1]3

What is the common difference of an A.P. in which a21 – a7 = 84?

Concept: Arithmetic Progression
Chapter: [2.02] Arithmetic Progressions
[1]4

If the angle between two tangents drawn from an external point P to a circle of radius a and centre O, is 60°, then find the length of OP

Concept: Tangent to a Circle
Chapter: [3.01] Circles
[2]5

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, –5) is the mid-point of PQ, then find the coordinates of P and Q.

Concept: Concepts of Coordinate Geometry
Chapter: [6.01] Lines (In Two-dimensions)
[2]6

If the distances of P(x, y) from A(5, 1) and B(–1, 5) are equal, then prove that 3x = 2y

Concept: Distance Formula
Chapter: [6.01] Lines (In Two-dimensions)
[2]7

Find the value of p, for which one root of the quadratic equation px2 – 14x + 8 = 0 is 6 times the other.

Concept: Nature of Roots
Chapter: [2.03] Quadratic Equations
[2]8

Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.

Concept: Number of Tangents from a Point on a Circle
Chapter: [3.01] Circles
[2]9

A circle touches all the four sides of a quadrilateral ABCD. Prove that AB + CD = BC + DA

Concept: Tangent to a Circle
Chapter: [3.01] Circles
[2]10

Which term of the A.P. 8, 14, 20, 26, ... will be 72 more than its 41st term?

Concept: nth Term of an AP
Chapter: [2.02] Arithmetic Progressions
[3]11

The dimensions of a solid iron cuboid are 4·4 m × 2·6 m × 1·0 m. It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and thickness 5 cm. Find the length of the pipe

Concept: Surface Areas and Volumes Examples and Solutions
Chapter: [7.02] Surface Areas and Volumes
[3]12

In Figure , two concentric circles with centre O, have radii 21cm and 42 cm. If ∠ AOB = 60°, find the area of the shaded region. [use π=22/7]

Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle
Chapter: [7.01] Areas Related to Circles
[3]13

Water in a canal, 5·4 m wide and 1·8 m deep, is flowing with a speed of 25 km/hour. How much area can it irrigate in 40 minutes, if 10 cm of standing water is required for irrigation?

Concept: Surface Area of a Combination of Solids
Chapter: [7.02] Surface Areas and Volumes
[3]14

In what ratio does the point `(24/11, y)` divide the line segment joining the points P(2, –2) and Q(3, 7)? Also find the value of y.

Concept: Section Formula
Chapter: [6.01] Lines (In Two-dimensions)
[3]15

On a straight line passing through the foot of a tower, two points C and D are at distances of 4 m and 16 m from the foot respectively. If the angles of elevation from C and D of the top of the tower are complementary, then find the height of the tower.

Concept: Heights and Distances
Chapter: [4.01] Heights and Distances
[3]16

A bag contains 15 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag.

Concept: Simple Problems on Single Events
Chapter: [5.01] Probability
[3]17

Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the area of the shaded region

Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle
Chapter: [7.01] Areas Related to Circles
[3]18

From a solid right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.

Concept: Surface Area of a Combination of Solids
Chapter: [7.02] Surface Areas and Volumes
[3]19

If the 10th term of an A.P. is 52 and the 17th term is 20 more than the 13th term, find the A.P.

Concept: Arithmetic Progression
Chapter: [2.02] Arithmetic Progressions
[3]20

If the roots of the equation (c2 – ab) x2 – 2 (a2 – bc) x + b2 – ac = 0 in x are equal, then show that either a = 0 or a3 + b3 + c3 = 3abc

Concept: Nature of Roots
Chapter: [2.03] Quadratic Equations
[4]21

If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k − 1, 5k) are collinear, then find the value of k

Concept: Concepts of Coordinate Geometry
Chapter: [6.01] Lines (In Two-dimensions)
[4]22

Two different dice are thrown together. Find the probability that the numbers obtained have

1) even sum, and

2) even product.

Concept: Probability Examples and Solutions
Chapter: [5.01] Probability
[4]23

Construct a triangle ABC with sides BC = 7 cm, ∠B = 45° and ∠A = 105°. Then construct a triangle whose sides are `3/4` times the corresponding sides of ∆ABC.

Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
Chapter: [3.02] Triangles
[4]24

In a rain-water harvesting system, the rain-water from a roof of 22 m × 20 m drains into a cylindrical tank having diameter of base 2 m and height 3·5 m. If the tank is full, find the rainfall in cm. Write your views on water conservation.

Concept: Surface Areas and Volumes Examples and Solutions
Chapter: [7.02] Surface Areas and Volumes
[4]25

Prove that the lengths of the tangents drawn from an external point to a circle are equal.

Concept: Number of Tangents from a Point on a Circle
Chapter: [3.01] Circles
[4]26

In the given figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X’Y’ at B. Prove that ∠AOB=90°

Concept: Number of Tangents from a Point on a Circle
Chapter: [3.01] Circles
[4]27

If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27), then find the ratio of their 9th terms.

Concept: Sum of First n Terms of an AP
Chapter: [2.02] Arithmetic Progressions
[4]28

Solve for x :

`1/(2x - 3) + 1/(x - 5) = 1 1/9 , X != 3/2, 5`

Concept: Solutions of Quadratic Equations by Factorization
Chapter: [2.03] Quadratic Equations
[4]29

A train covers a distance of 300 km at a uniform speed. If the speed of the train is increased by 5 km/hour, it takes 2 hours less in the journey. Find the original speed of the train

Concept: Quadratic Equations Examples and Solutions
Chapter: [2.03] Quadratic Equations
[4]30

A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car changes from 30° to 45° in 12 minutes, find the time taken by the car now to reach the tower.

Concept: Heights and Distances
Chapter: [4.01] Heights and Distances
[4]31

In the given figure, ∆ ABC is a right-angled triangle in which ∠ A is 90°. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region

Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle
Chapter: [7.01] Areas Related to Circles

Request Question Paper

If you dont find a question paper, kindly write to us





      View All Requests

Submit Question Paper

Help us maintain new question papers on Shaalaa.com, so we can continue to help students




only jpg, png and pdf files

CBSE previous year question papers Class 10 Mathematics with solutions 2016 - 2017

     CBSE Class 10 Maths question paper solution is key to score more marks in final exams. Students who have used our past year paper solution have significantly improved in speed and boosted their confidence to solve any question in the examination. Our CBSE Class 10 Maths question paper 2017 serve as a catalyst to prepare for your Mathematics board examination.
     Previous year Question paper for CBSE Class 10 Maths-2017 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.
S
View in app×