CBSE Class 10 th Maths Solved Practice Paper 2015 Set 1

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PREFACE PREFACE The Practice Paper is a product of CBSE Class 10th Exam experts of jagranjosh. com, an online educational portal of Dainik Jagran.

2 PREFACE PREFACE The Practice Paper is a product of CBSE Class 10th Exam experts of jagranjosh. com, an online educational portal of Dainik Jagran. After a round analysis for the previous three years of CBSE Class 10th Summative Assessment II Mathematics Question papers, the jagranjosh.com experts have set this Practice Paper for the 2014 CBSE Class 10th Summative Assessment II. An analysis of Previous Years Mathematics Question Papers has been mentioned here: 2

Below are the Chapters covered under the entitled units: This conceptual Practice Paper along with guided solutions is a product exclusively for CBSE Class 10th students.

3 Below are the Chapters covered under the entitled units: This conceptual Practice Paper along with guided solutions is a product exclusively for CBSE Class 10th students. The pattern of the Practice Paper is as per the Previous Year s CBSE Summative Assessment II, Mathematics Question Papers, thus the students will find it easy and understandable in all its aspects. 3

4 Free Checklist for the Year 2015 for Class 10th Mathematics: Syllabus Chapter-wise Tips & Strategy Chapter-wise NCERT Solution Chapter-wise Online Test Sample Paper Solved Practice Paper Solved Guess Paper Guess Paper Stress Management What After Class 10th Copyright Jagranjosh.com All rights reserved. No part or the whole of this ebook may be copied, reproduced, stored in retrieval system or transmitted and/ or cited anywhere in any form or by any means (electronic, mechanical, photocopying, recording or otherwise), without the written permission of the copyright owner. If any misconduct comes in knowledge or brought in notice, strict action will be taken. Disclaimer Readers are requested to verify/cross-check up to their satisfaction themselves about the advertisements, advertorials, and external contents. If any miss-happening, ill result, mass depletion or any similar incident occurs due to any information cited or referenced in this e-book, Editor, Director/s, employees of Jagranjosh.com can t be held liable/responsible in any matter whatsoever. No responsibilities lie as well in case of the advertisements, advertorials, and external contents. 4

5 Solved Practice Paper Class: X Subject: Mathematics Set - 1 Time Allowed: 3 Hours Maximum Marks: 90 General Instructions: (a) All questions are compulsory. (b) The question paper consists of 31 questions divided into four sections: A, B, C and D. (c) Section A contains 4 questions of 1 mark each which are multiple choice questions, Section B contains 6 questions of 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 11 questions of 4 marks each. (d) Use of calculator is not permitted. "SECTION - A" Q 1. The sum of first five multiples of 4 is: (a) 30 (b) 40 (c) 50 (d) 60 5

6 Q 2. The angle of depression and the angle of elevation from an object on the ground to an object in the air are related as: (a) greater than (b) less than (c) equal (d) all of them Q 3. A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, the probability that it will not be a white marble is: (a) 2 9 (b) 4 9 (c) 5 9 (d) 7 9 Q 4. If A(5, y), B(1, 5), C(2, 1) and D(6, 2) are the vertices of a square, then the value of y is: (a) 1 (b) 3 (c) 2 (d) 6 6

7 "SECTION - B" Q 5. For what value of k, are the roots of the equation 2 3x 2kx = real and equal? Q 6. If 3 times the 3rd term of an AP is equal to 7 times its 7th term, then find its 10th term. Q 7. In figure, BOA is a diameter of the circle and the tangent at a point P meets BA extended at T. If PBO = 35, then find PAT. Q 8. Find the radius of the circle whose circumference is equal to the sum of circumferences of the two circles of diameter 30 cm and 24 cm respectively. Q 9. A paper is in the form of a rectangle ABCD with AB = 18 cm and BC = 14 cm. A semi-circular portion with BC as diameter is cut off. Find the area of the remaining paper. Q 10. Water flows through a circular pipe, whose internal diameter is 2 cm, at the rate of 0.7 m per second into a cylindrical tank, the radius of whose base is 40 cm. By how much will the level of water in the cylindrical tank rise in half an hour? 7

8 "SECTION - C" Q 11. Solve the quadratic equation: = x x Q 12. The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP. Q 13. In figure, ABC is a right angled triangle with AB = 6 cm and AC = 8 cm. A circle with centre O has been inscribed inside the triangle. Calculate the value of r, the radius of the inscribed circle. Q 14. The length of a shadow of a tower standing on level plane is found to be 20 m longer when the Sun s altitude is 30 0, than when it was Find the height of the tower. Q 15. All the three face cards of spade are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting: (i) a black face card. (ii) a queen (iii) a black card. 8

9 Q 16. If the point C( 1, 2) divides the line segment AB in the ratio 3 : 4, where the coordinates of A are (2, 5), then find the coordinates of B. Q 17. If the point (x, y) is equidistant from the points (a + b, b - a ) and (a b, a + b ) then prove that bx = ay. Q 18. A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 3 cm. If the height of the toy is 12 cm, find the number of toys so formed. Q 19. A copper wire when bent in the form of a square encloses an area of 121 cm 2. If the same wire is bent into the form of a circle, then find the area of the circle. Q 20. A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are needed to empty the bowl? "SECTION - D" Q 21. Solve for x : = + + p+ q+ x p q x ; p 0, q 0, x 0; p+ q+ x 0 Q 22. A trader bought a number of articles for Rs.900. Five articles were found damaged. He sold each of the remaining articles for Rs. 2 more and made a profit of Rs.80 in the whole transaction. Find the number of articles he bought. Q 23. Nidhi saves Rs. 2 on first day of the month, Rs. 4 on second day, Rs. 6 on third day and so on. Read the above passage and answer the following questions: 9

10 (i) What will be her saving in the month of February? (ii) What value is depicted by Nidhi? [Value Based Question] Q 24. Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that PTQ = 2 OPQ. Q 25. Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. Using the above result, find the length of PQ, if a tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ = 12 cm. Q 26. Construct a ABC in which BC = 6.5 cm, AB = 4.5 cm and ACB = 60. Construct another triangle similar to ABC such that each side of new triangle is 45 of the corresponding sides of ABC. Q 27. An aeroplane flying at a height of 4000 m from the ground passes vertically above another aeroplane at an instant when the angle of elevation of the two planes from the same point as the ground are 60 and 45 respectively. Find the vertical distance between the aeroplanes that instant. Q 28. A bag contains 4 white balls, 6 red balls, 7 black balls and 3 blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is: 10

11 CBSE Class 10th Solved Mathematics Practice Paper 2015 Set-I (Fully Solved) 40% OFF Publisher : Jagran Josh Author : Jagran Josh Expert Type the URL : Get this ebook

Time: 3 hour Total Marks: 90

Time: 3 hour Total Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 34 questions divided into four sections A, B, C, and D. 3. Section A contains of 8