ASSIGNMENT NO 1 (SIMILAR TRIANGLES)


 Lily Palmer
 2 years ago
 Views:
Transcription
1 ASSIGNMENT NO 1 (SIMILAR TRIANGLES) 1. In an equilateral Δ ABC, the side BC is trisected at D. Prove that 9AD2 = 7AB2 2. P and Q are points on sides AB and AC respectively, of ΔABC. If AP = 3 cm,pb = 6 cm, AQ = 5 cm and QC = 10 cm, show that BC = 3 PQ. 3. The image of a tree on the film of a camera is of length 35 mm, the distance from the lens to the film is 42 mm and the distance from the lens to the tree is 6 m. How tall is the portion of the tree being photographed? 4.. Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median, which bisects the third side. 5. If a straight line is drawn parallel to one side of a triangle intersecting the othertwo sides, then it divides the two sides in the same ratio. 6. If ABC is an obtuse angled triangle, obtuse angled at B and if AD ^ CB Prove that AC 2 =AB 2 + BC 2 +2 BC x BD 7. If a straight line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side. 8. ABCD is a quadrilateral with AB =AD. If AE and AF are internal bisectors of ΔABC, D and E are points on AB and AC respectively such that AD/ DB = AEC/EC and ΔABC is isosceles. 9. In a ΔABC, points D, E and F are taken on the sides AB, BC and CA respectively such that DE IIAC and FE II AB Prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle. 11. If a perpendicular is drawn from the vertex of a right angled triangle to its hypotenuse, then the triangles on each side of the perpendicular are similar to the whole triangle. 12. A man sees the top of a tower in a mirror which is at a distance of 87.6 m from the tower. The mirror is on the ground, facing upward. The man is 0.4 m away from the mirror, and the distance of his eye level from the ground is 1.5 m. How tall is the tower? (The foot of man, the mirror and the foot of the tower lie along a straight line). 13. In a right Δ ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that (I) 9AQ 2 = 9AC 2 +4BC 2 (II) 9 BP 2 = 9 BC 2 + 4AC 2 (III) 9 (AQ 2 +BP 2 ) = 13AB ABC is a triangle. PQ is the line segment intersecting AB in P and AC in Q such that PQ parallel to BC and divides Δ ABC into two parts equal in area. Find BP: AB. 15. P and Q are the mid points on the sides CA and CB respectively of triangle ABC right angled at C. Prove that4(aq 2 +BP 2 ) = 5 AB 2
2 ASSIGNMENT NO 2 (POLYNOMIALS)al MCQ Assignments in Mathematics Class X (Term I) 1. If α,β are zeroes of the polynomial f(x) = x 2 + px + q, then polynomial having 1/α and 1/β as its zeroes is (a) x 2 + qx + p (b) x 2 px + q (c) qx 2 + px + 1 (d) px 2 + qx If α and β are zeroes of x 2 4x + 1, then 1/α + 1/β αβ is (a) 3 (b) 5 (c) 5 (d) 3 3. The quadratic polynomial having zeroes as 1 and 2 is : (a) x 2 x + 2 (b) x 2 x 2 (c) x 2 + x 2 (d) x 2 + x If α, β are zeroes of x 2 6x + k, what is the value of k if 3α+2β=20? (a) 16 (b) 8 (c) 2 (d) 8 5. If one zero of 2x 2 3x + k is reciprocal to the other, then the value of k is (a) 2 (b) 23 (c) 32 (d) 3 6. The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is 2 is (a) x 2 + 3x 2 (b) x 2 2x + 3 (c) x 2 3x + 2 (d) x 2 3x 2 7. If (x + 1) is a factor of x 2 3ax + 3a 7, then the value of a is : (a)1 (b) 1 (c) 0 (d) 2 8. The number of polynomials having zeroes 2 and 5 is : (a)1 (b) 2(c)3 (d) more than 3 9. The quadratic polynomial p(y) with 15 and 7 as sum and one of the zeroes respectively is : (a) y 2 15y 56 (b) y 2 15y + 56 (c) y y + 56 (d) y y The value of p for which the polynomial x 3 + 4x 2 px + 8 is exactly divisible by (x 2) is : (a) 0 (b) 3 (c) 5 (d) If 1 is a zero of the polynomial p(x) = ax 2 3(a 1)x 1, then the value of a is : (a) 1 (b) 1 (c) 2 (d) If 4 is a zero of the polynomial x 2 x (2 + 2k), then the value of k is : (a) 3 (b) 9 (c) 6 (d) 9 13.The degree of the polynomial (x + 1)(x 2 x x 4 + 1) is : (a) 2 (b) 3 (c) 4 (d) If (x + 1) is a factor of x 2 3ax + 3a 7, then the value of a is : (a) 1 (b) 1 (c) 0 (d) If sum of the squares of zeroes of the quadratic polynomial f(x) = x 2 8x + k is 40, the value of k is (a) 10 (b) 12 (c) 14 (d) 16
3 ASSIGNMENT NO 3 (REAL NUMBERS) 1. Express 140 as a product of its prime factors 2. Find the LCM and HCF of 12, 15 and 21 by the prime factorization method. 3. Find the LCM and HCF of 6 and 20 by the prime factorization method. 4. State whether13/3125 will have a terminating decimal expansion or a nonterminating repeating 5. State whether 17/8 will have a terminating decimal expansion or a nonterminating repeating 6. Find the LCM and HCF of 26 and 91 and verify that LCM HCF = product of the two numbers. 7. Use Euclid s division algorithm to find the HCF of 135 and Use Euclid s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m 9. Prove that 3 is irrational. 10. Show that 5 3 is irrational 11. Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. 12. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? 13. Express 156 as a product of its prime factors. 14. Find the LCM and HCF of 17, 23 and 29 by the prime factorization method. 15. Find the HCF and LCM of 12, 36 and 160, using the prime factorization method. 16. State whether 6/15 will have a terminating decimal expansion or a nonterminating repeating 17. State whether35/50 will have a terminating decimal expansion or a nonterminating repeating Find the LCM and HCF of 192 and 8 and verify that LCM HCF = product of the two numbers. 20. Use Euclid s algorithm to find the HCF of 4052 and Show that any positive odd integer is of the form of 4q + 1 or 4q + 3, where q is some integer. 22. Use Euclid s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m. 23. Prove that is irrational Prove that 1/ 2 is irrational. (3 marks)
4 25. In a school there are tow sections section A and Section B of class X. There are 32 students in section A and 36 students in section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B. 26. Express 3825 as a product of its prime factors. 27. Find the LCM and HCF of 8, 9 and 25 by the prime factorization method. 28. Find the HCF and LCM of 6, 72 and 120, using the prime factorization method. 29. State whether 29/343 will have a terminating decimal expansion or a nonterminating repeating 30. State whether 23/ 23 52will have a terminating decimal expansion or a nonterminating repeating decimal 31. Find the LCM and HCF of 336 and 54 and verify that LCM HCF = product of the two numbers 32. Use Euclid s division algorithm to find the HCF of 867 and Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer. 34. Use Euclid s division lemma to show that the cube of any positive integer is of the form 9m,9lm + 1 or 9m Prove that 7 5 is irrational. 36. Prove that 5 is irrational. 37. There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? 38. Express 5005 as a product of its prime factors. 39. Find the LCM and HCF of 24, 36 and 72 by the prime factorization method. 40. Find the LCM and HCF of 96 and 404 by the prime factorization method 41. State whether 64/455 will have a terminating decimal expansion or a nonterminating repeating decimal 42. State whether15/ 1600 will have a terminating decimal expansion or a nonterminating repeating 43. Find the LCM and HCF of 510 and 92 and verify that LCM HCF = product of the two numbers. 44. Use Euclid s division algorithm to find the HCF of 196 and (3 marks) 45. Use Euclid s division lemma to show that the cube of any positive integer is of the form 9m,9m + 1 or 9m + 8
5 46. Show that every positive odd integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer Show that 3 2 is irrational. 48. Prove that is irrational. 49. A sweet seller has 420 kaju barfis and 130 badam barfis. She wants to stack them in such a way that each stack has the same number, and they take up the least area of the tray. What is the maximum number of barfis that can be placed in each stack for this purpose? 50. Use Euclid s division algorithm to find the HCF of : (i) 135 and 225 (ii) 196 and (iii) 867 and Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. 52. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march? Sol. Hints: Find the HCF of 616 and Find the largest number which divides 615 and 963 leaving remainder 6 in each case. 54. show that is an irrational number. 55. Find the HCF of 52 and 117 and express it in form 52 x + 117y. 56. find the (HCF LCM) for the numbers 100 and the HCF of 45 and 105 is 15. Write their LCM. 58. Write a rational number between 2 aaaaaa Divide 4x 3 + 2x 2 + 5x 6 by 2x 2 + 3x find the zeros of 4x 2 7 and verify the relationship between the zeros and its coefficients. 61. find a quadratic polynomial whose zeros are 5 + 2aaaaaa if one zero of the polynomial 5x x P is reciprocal of the other then find p. 63. if the product of two zeros of polynomial 2x 3 + 3x 2 5x 6 is 3 then find its third zero. 64. Find the zero of 4x x Obtain all other zeros of the polynomial x 4 3x 3 x 2 + x + 9x 6, if two of its zeros are 3aaaaaa 3.
MATHEMATICS X l Let x = p q be a rational number, such l If p, q, r are any three positive integers, then, l that the prime factorisation of q is of t
CHAPTER 1 Real Numbers [N.C.E.R.T. Chapter 1] POINTS FOR QUICK REVISION l Euclid s Division Lemma: Given two positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 r
More informationReal Number. Euclid s division algorithm is based on the above lemma.
1 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius Basic Concepts 1. Euclid s division lemma Given two positive integers a and b, there exist unique integers q and r
More informationMasters Tuition Center
1 REAL NUMBERS Exercise 1.1 Q.1. Use Euclid s division algorithm to find the HCF of: (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Solution. (i) In 135 and 225, 225 is larger integer. Using Euclid
More informationCBSE QUESTION PAPER CLASSX MATHS
CBSE QUESTION PAPER CLASSX MATHS SECTION  A Question 1:If sin α = 1 2, then the value of 4 cos3 α 3 cos α is (a)0 (b)1 (c) 1 (d)2 Question 2: If cos 2θ = sin(θ 12 ), where2θ and (θ 12 ) are both acute
More informationREAL NUMBERS. Any positive integer a can be divided by another positive integer b in such a way that it leaves a remainder r that is smaller than b.
REAL NUMBERS Introduction Euclid s Division Algorithm Any positive integer a can be divided by another positive integer b in such a way that it leaves a remainder r that is smaller than b. Fundamental
More informationX Mathematics Practice Paper
Brilliant Public School, Sitamarhi X Mathematics Practice Paper Session : 201213 Rajopatti,Dumra Road,Sitamarhi(Bihar),Pin843301 Ph.06226252314,Mobile:9431636758 Mathematics for Class 10 Q 1 Why is
More informationNCERT Solutions. 95% Top Results. 12,00,000+ Hours of LIVE Learning. 1,00,000+ Happy Students. About Vedantu. Awesome Master Teachers
Downloaded from Vedantu NCERT Solutions About Vedantu Vedantu is India s biggest LIVE online teaching platform with over 450+ best teachers from across the country. Every week we are coming up with awesome
More informationContents Real Numbers Polynomials 2 0 Pair of Linear Equations in Two Variables 3 8 Quadratic Equations 7 0
Foreword Preface Contents 1. Real Numbers 1 1.1 Introduction 1 1. Euclid s Division Lemma 1.3 The Fundamental Theorem of Arithmetic 7 1.4 Revisiting Irrational Numbers 11 1.5 Revisiting Rational Numbers
More informationSample Question Paper Mathematics First Term (SA  I) Class X. Time: 3 to 3 ½ hours
Sample Question Paper Mathematics First Term (SA  I) Class X Time: 3 to 3 ½ hours M.M.:90 General Instructions (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided
More informationDESIGN OF THE QUESTION PAPER Mathematics Class X
SETI DESIGN OF THE QUESTION PAPER Mathematics Class X Time : 3 Hours Maximum Marks : 80 Weightage and the distribution of marks over different dimensions of the question shall be as follows: (A) Weightage
More informationCBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80
CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More informationCBSE MATHEMATICS (SET2)_2019
CBSE 09 MATHEMATICS (SET) (Solutions). OC AB (AB is tangent to the smaller circle) In OBC a b CB CB a b CB a b AB CB (Perpendicular from the centre bisects the chord) AB a b. In PQS PQ 4 (By Pythagoras
More informationClass : IX(CBSE) Worksheet  1 Sub : Mathematics Topic : Number system
Class : IX(CBSE) Worksheet  Sub : Mathematics Topic : Number system I. Solve the following:. Insert rational numbers between. Epress 57 65 in the decimal form. 8 and.. Epress. as a fraction in the simplest
More informationnot to be republished NCERT REAL NUMBERS CHAPTER 1 (A) Main Concepts and Results
REAL NUMBERS CHAPTER 1 (A) Main Concepts and Results Euclid s Division Lemma : Given two positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 r < b. Euclid s Division
More informationCLASS X FORMULAE MATHS
Real numbers: Euclid s division lemma Given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0 r < b. Euclid s division algorithm: This is based on Euclid s division
More informationPaper: 02 ClassXMath: Summative Assessment  I
1 P a g e Paper: 02 ClassXMath: Summative Assessment  I Total marks of the paper: 90 Total time of the paper: 3.5 hrs Questions: 1] The relation connecting the measures of central tendencies is [Marks:1]
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD32 SAMPLE PAPER TEST 03 (201819) (ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions are compulsory.
More information1. If { ( 7, 11 ), (5, a) } represents a constant function, then the value of a is a) 7 b) 11 c) 5 d) 9
GROUPI TEST XMATHEMATICS (5 chapters) Time: 2 ½ hrs. Max. Marks: 100 General instructions: (i) This question paper consists of four sections. Read the note carefully under each section before answering
More information2. In an AP. if the common difference (d) = 4, and the seventh term (a7) is 4, then find the first term.
CBSE Board Class X Set 3 Mathematics Board Question Paper 2018 Time: 3 hrs. Marks: 80 Note: Please check that this question paper contains 11 printed pages. Code number given on the right hand side of
More informationCLASSIX MATHEMATICS. For. PreFoundation Course CAREER POINT
CLASSIX MATHEMATICS For PreFoundation Course CAREER POINT CONTENTS S. No. CHAPTERS PAGE NO. 0. Number System... 0 3 0. Polynomials... 39 53 03. Coordinate Geometry... 54 04. Introduction to Euclid's
More informationClass X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. SectionA
Class X Mathematics Sample Question Paper 089 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections
More informationCBSE QUESTION PAPER CLASSX MATHS
CBSE QUESTION PAPER CLASSX MATHS SECTION  A Question 1: In figure, AB = 5 3 cm, DC = 4cm, BD = 3cm, then tan θ is (a) (b) (c) (d) 1 3 2 3 4 3 5 3 Question 2: In figure, what values of x will make DE
More informationand LCM (a, b, c) LCM ( a, b) LCM ( b, c) LCM ( a, c)
CHAPTER 1 Points to Remember : REAL NUMBERS 1. Euclid s division lemma : Given positive integers a and b, there exists whole numbers q and r satisfying a = bq + r, 0 r < b.. Euclid s division algorithm
More informationTime: 3 Hrs. M.M. 90
Class: X Subject: Mathematics Topic: SA1 No. of Questions: 34 Time: 3 Hrs. M.M. 90 General Instructions: 1. All questions are compulsory. 2. The questions paper consists of 34 questions divided into four
More informationUNIT8 SIMILAR TRIANGLES Geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art. 1. ABC is a rightangled triangle, rightangled
More informationSUMMATIVE ASSESSMENT  I (2012) MATHEMATICS CLASS IX. Time allowed : 3 hours Maximum Marks :90
SUMMATIVE ASSESSMENT  I (2012) MATHEMATICS CLASS IX Time allowed : 3 hours Maximum Marks :90 General Instructions: i. All questions are compulsory. ii. The question paper consists of 34 questions divided
More informationCLASS IX : CHAPTER  1 NUMBER SYSTEM
MCQ WORKSHEETI CLASS IX : CHAPTER  1 NUMBER SYSTEM 1. Rational number 3 40 is equal to: (a) 0.75 (b) 0.1 (c) 0.01 (d) 0.075. A rational number between 3 and 4 is: (a) 3 (b) 4 3 (c) 7 (d) 7 4 3. A rational
More informationQ.1 If a, b, c are distinct positive real in H.P., then the value of the expression, (A) 1 (B) 2 (C) 3 (D) 4. (A) 2 (B) 5/2 (C) 3 (D) none of these
Q. If a, b, c are distinct positive real in H.P., then the value of the expression, b a b c + is equal to b a b c () (C) (D) 4 Q. In a triangle BC, (b + c) = a bc where is the circumradius of the triangle.
More informationClass X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. SectionA
Class X Mathematics Sample Question Paper 089 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections
More informationCHAPTER 1 REAL NUMBERS KEY POINTS
CHAPTER 1 REAL NUMBERS 1. Euclid s division lemma : KEY POINTS For given positive integers a and b there exist unique whole numbers q and r satisfying the relation a = bq + r, 0 r < b. 2. Euclid s division
More informationCOORDINATE GEOMETRY BASIC CONCEPTS AND FORMULAE. To find the length of a line segment joining two points A(x 1, y 1 ) and B(x 2, y 2 ), use
COORDINATE GEOMETRY BASIC CONCEPTS AND FORMULAE I. Length of a Line Segment: The distance between two points A ( x1, 1 ) B ( x, ) is given b A B = ( x x1) ( 1) To find the length of a line segment joining
More informationMT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1
CBSE  X MT EDUCARE LTD. SUMMATIVE ASSESSMENT  034 Roll No. Code No. 3/ Series RLH Please check that this question paper contains 6 printed pages. Code number given on the right hand side of the question
More informationMATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT )
Total No. of Printed Pages 6 X/3/M 0 3 MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 80 Pass Marks : 4 ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 00
More informationSubject: General Mathematics
Subject: General Mathematics Written By Or Composed By:Sarfraz Talib Chapter No.1 Matrix A rectangular array of number arranged into rows and columns is called matrix OR The combination of rows and columns
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 01 FOR PERIODIC TEST II EXAM (01819) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR PERIODIC TEST II EXAM: CLASS IX Chapter VSA (1 mark) SA I (
More informationCBSE CLASS10 MARCH 2018
CBSE CLASS10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four sections
More informationUNC Charlotte 2005 Comprehensive March 7, 2005
March 7, 2005 1. The numbers x and y satisfy 2 x = 15 and 15 y = 32. What is the value xy? (A) 3 (B) 4 (C) 5 (D) 6 (E) none of A, B, C or D Solution: C. Note that (2 x ) y = 15 y = 32 so 2 xy = 2 5 and
More informationMathematics CLASS : X. Time: 3hrs Max. Marks: 90. 2) If a, 2 are three consecutive terms of an A.P., then the value of a.
1 SAMPLE PAPER 4 (SAII) MR AMIT. KV NANGALBHUR Mathematics CLASS : X Time: 3hrs Max. Marks: 90 General Instruction: 1. All questions are Compulsory. The question paper consists of 34 questions divided
More information1 / 23
CBSEXII07 EXAMINATION CBSEX009 EXAMINATION MATHEMATICS Series: HRL Paper & Solution Code: 0/ Time: Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question paper
More informationCLASS  X Mathematics (Real Number)
CLASS  X Mathematics (Real Number) 1. 7 11 13 15 + 15is a (a) Composite number (c) Prime number (b) Whole number (d) None of these. For what least value of n a natural number, ( 4) n is divisible by 8?
More informationNozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch Sheet ( 1) 1Complete 1. in the parallelogram, each two opposite
More informationSAMPLE QUESTION PAPER ClassX ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER ClassX (017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More informationCONTENTS. iii v viii FOREWORD PREFACE STUDENTS EVALUATION IN MATHEMATICS AT SECONDARY STAGE
CONTENTS FOREWORD PREFACE STUDENTS EVALUATION IN MATHEMATICS AT SECONDARY STAGE iii v viii CHAPTER Real Numbers CHAPTER Polynomials 8 CHAPTER 3 Pair of Linear Equations in Two Variables 6 CHAPTER 4 Quadratic
More informationMATHEMATICS QUESTION BANK. for CLASS X CHAPTER WISE COVERAGE IN THE FORM IMPORTANT FORMULAS & CONCEPTS, MCQ WORKSHEETS AND PRACTICE QUESTIONS
MATHEMATICS QUESTION BANK for CLASS X 017 18 CHAPTER WISE COVERAGE IN THE FORM IMPORTANT FORMULAS & CONCEPTS, MCQ WORKSHEETS AND PRACTICE QUESTIONS Prepared by M. S. KUMARSWAMY, TGT(MATHS) M. Sc. Gold
More informationSimilarity of Triangle
Similarity of Triangle 95 17 Similarity of Triangle 17.1 INTRODUCTION Looking around you will see many objects which are of the same shape but of same or different sizes. For examples, leaves of a tree
More informationClassIX CBSE Latest Pattern Sample Paper {Mathematics}
ClassIX CBSE Latest Pattern Sample Paper {Mathematics} TermI Examination (SA I) Time: 3hours Max. Marks: 90 General Instructions (i) All questions are compulsory. (ii) The question paper consists of
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM (201718) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks)
More informationImportant Instructions for the School Principal. (Not to be printed with the question paper)
Important Instructions for the School Principal (Not to be printed with the question paper) 1) This question paper is strictly meant for use in school based SAI, September01 only. This question paper
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 05 (201819) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
More informationNEW YORK CITY INTERSCHOLASTIC MATHEMATICS LEAGUE Senior A Division CONTEST NUMBER 1
Senior A Division CONTEST NUMBER 1 PART I FALL 2011 CONTEST 1 TIME: 10 MINUTES F11A1 Larry selects a 13digit number while David selects a 10digit number. Let be the number of digits in the product of
More informationMathematics. Single Correct Questions
Mathematics Single Correct Questions +4 1.00 1. If and then 2. The number of solutions of, in the interval is : 3. If then equals : 4. A plane bisects the line segment joining the points and at right angles.
More informationImportant Instructions for the School Principal. (Not to be printed with the question paper)
Important Instructions for the School Principal (Not to be printed with the question paper) ) This question paper is strictly meant for use in school based SAI, September202 only. This question paper
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 (201718) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
More informationQ.2 A, B and C are points in the xy plane such that A(1, 2) ; B (5, 6) and AC = 3BC. Then. (C) 1 1 or
STRAIGHT LINE [STRAIGHT OBJECTIVE TYPE] Q. A variable rectangle PQRS has its sides parallel to fied directions. Q and S lie respectivel on the lines = a, = a and P lies on the ais. Then the locus of R
More informationImportant Instructions for the School Principal. (Not to be printed with the question paper) Note:
Important Instructions for the School Principal (Not to be printed with the question paper) 1) This question paper is strictly meant for use in school based SAI, September01 only. This question paper
More informationQuestion 1 ( 1.0 marks) places of decimals? Solution: Now, on dividing by 2, we obtain =
Question 1 ( 1.0 marks) The decimal expansion of the rational number places of decimals? will terminate after how many The given expression i.e., can be rewritten as Now, on dividing 0.043 by 2, we obtain
More informationMATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT )
Total No. of Printed Pages 6 X/5/M 0 5 MATHEMATICS ( CANDIDATES WITH PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 80 Pass Marks : 4 ( CANDIDATES WITHOUT PRACTICALS/INTERNAL ASSESSMENT ) Full Marks : 00
More informationSAMPLE QUESTION PAPER 09 ClassX ( ) Mathematics
SAMPLE QUESTION PAPER 09 ClassX (2017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
More informationPRE BOARD EXAMINATION CODE : E SESSION CLASS : X MAXIMUM MARKS: 80 SECTION A
PRE BOARD EXAMINATION CODE : E SESSION 017018 CLASS : X MAXIMUM MARKS: 80 SUBJECT : MATHEMATICS TIME : HOURS General Instructions: (i) All questions are compulsory. (ii) The question paper consists of
More informationCBSE Class X Mathematics Sample Paper 04
CBSE Class X Mathematics Sample Paper 04 Time Allowed: 3 Hours Max Marks: 80 General Instructions: i All questions are compulsory ii The question paper consists of 30 questions divided into four sections
More informationMOCK CBSE BOARD EXAM MATHEMATICS. CLASS X (Paper 2) (AS PER THE GUIDELINES OF CBSE)
MOCK CBSE BORD EXM MTHEMTICS CLSS X (Paper ) (S PER THE GUIDELINES OF CBSE) Time: Hours Max. Marks: 80 General Instructions. ll the questions are compulsory.. The question paper consists of 0 questions
More informationCBSE Class IX Mathematics Term 1. Time: 3 hours Total Marks: 90. Section A
CBSE sample papers, Question papers, Notes for Class 6 to 1 CBSE Class IX Mathematics Term 1 Time: 3 hours Total Marks: 90 General Instructions: 1. All questions are compulsory.. The question paper consists
More informationGive (one word answer) and Take (one mark in future):
Star Sums: Give (one word answer) and Take (one mark in future): 1. If is a rational number, what is the condition on q so that the decimal representation of is terminating. 2. Find the (H.C.F X L.C.M)
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 FOR HALF YEARLY EXAM (201718) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR HALF YEARLY EXAM: CLASS IX Chapter VSA (1 mark) SA I (2 marks) SA
More informationMODEL TEST PAPER 9 FIRST TERM (SAI) MATHEMATICS (With Answers)
MODEL TEST PAPER 9 FIRST TERM (SAI) MATHEMATICS (With Answers) CLASS X llme Allowed, : 3 to 3% Hours] LMaximum Marks : 80 General Instructions : (i) All are compulsory. (ii) The question paper consists
More informationNUMBER SYSTEM NATURAL NUMBERS
NUMBER SYSTEM In Hindu Arabic System, we use ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 called digits to represent any number. This is the decimal system where we use the numbers 0 to 9. 0 is called insignificant
More informationPaper: 03 ClassXMath: Summative Assessment  I
1 P a g e Paper: 03 ClassXMath: Summative Assessment  I Total marks of the paper: 90 Total time of the paper: 3.5 hrs Questions: 1] Triangle ABC is similar to triangle DEF and their areas are 64 cm
More informationCoordinate Geometry. Exercise 13.1
3 Exercise 3. Question. Find the distance between the following pairs of points (i) ( 3) ( ) (ii) ( 5 7) ( 3) (iii) (a b) ( a b) Solution (i) Let A( 3 ) and B( ) be the given points. Here x y 3and x y
More informationMath Contest, Fall 2017 BC EXAM , z =
Math Contest, Fall 017 BC EXAM 1. List x, y, z in order from smallest to largest fraction: x = 111110 111111, y = 1 3, z = 333331 333334 Consider 1 x = 1 111111, 1 y = thus 1 x > 1 z > 1 y, and so x
More informationCBSE 10th Mathematics 2013 Unsolved Paper Summative Assessment  I
Perfect solution to all problems Tips, Tricks, General Knowledge, Current Affairs, Latest Sample, Previous Year, Practice Papers with solutions. CBSE 10th Mathematics 2013 Unsolved Paper Summative Assessment
More informationChapter (Circle) * Circle  circle is locus of such points which are at equidistant from a fixed point in
Chapter  10 (Circle) Key Concept * Circle  circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle  Circle having same centre called concentric circle.
More informationANSWER KEY & SOLUTIONS
PREHALFYEARLY ASSESSMENT [PHA MATHS SYLLABUS] ANSWER KEY & SOLUTIONS General Instructions:. The question paper comprises of four sections, A, B, C & D.. All questions are compulsory. 3. Section A Q
More informationUNIT I : NUMBER SYSTEMS
CLASS X First Term Marks : 80 UNITS MARKS I. NUMBER SYSTEMS 10 II. ALGEBRA 20 III. GEOMETRY 15 IV TRIGONOMETRY 20 V STATISTICS 15 TOTAL 80 UNIT I : NUMBER SYSTEMS 1. REAL NUMBERS (15) Periods Euclid's
More informationCDSI 2019 Elementary Mathematics (SetC)
1 CDSI 019 Elementary Mathematics (SetC) Direction: Consider the following for the next three (03) items : A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the
More informationMT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1
CBSE  X MT EDUCARE LTD. SUMMATIVE ASSESSMENT  034 Roll No. Code No. 3/ Series RLH Please check that this question paper contains 6 printed pages. Code number given on the right hand side of the question
More information45th Moldova Mathematical Olympiad 2001
45th Moldova Mathematical Olympiad 200 Final Round Chişinǎu, March 2 Grade 7. Prove that y 3 2x+ x 3 2y x 2 + y 2 for any numbers x,y [, 2 3 ]. When does equality occur? 2. Let S(n) denote the sum of
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 02 (201819) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
More information1 Solution of Final. Dr. Franz Rothe December 25, Figure 1: Dissection proof of the Pythagorean theorem in a special case
Math 3181 Dr. Franz Rothe December 25, 2012 Name: 1 Solution of Final Figure 1: Dissection proof of the Pythagorean theorem in a special case 10 Problem 1. Given is a right triangle ABC with angle α =
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 FOR HALF YEARLY EXAM (01718) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR HALF YEARLY EXAM: CLASS IX Chapter VSA (1 mark) SA I ( marks) SA II
More informationMATHEMATICS FORMULAE AND CONCEPTS. for CLASS X CHAPTER WISE IMPORTANT FORMULAS & CONCEPTS, Prepared by
MATHEMATICS FORMULAE AND CONCEPTS for CLASS X 017 18 CHAPTER WISE IMPORTANT FORMULAS & CONCEPTS, Prepared by M. S. KUMARSWAMY, TGT(MATHS) M. Sc. Gold Medallist (Elect.), B. Ed. Kendriya Vidyalaya GaCHiBOWli
More informationThe Grade Descriptors below are used to assess work and student progress in Mathematics from Year 7 to
Jersey College for Girls Assessment criteria for KS3 and KS4 Mathematics In Mathematics, students are required to become familiar, confident and competent with a range of content and procedures described
More informationDESIGN OF THE QUESTION PAPER Mathematics Class X NCERT. Time : 3 Hours Maximum Marks : 80
DESIGN OF THE QUESTION PAPER Mathematics Class X Weightage and the distribution of marks over different dimensions of the question shall be as follows: (A) Weightage to Content/ Subject Units : S.No. Content
More informationFor math conventions used on the GRE, refer to this link:
GRE Review ISU Student Success Center Quantitative Workshop One Quantitative Section: Overview Your test will include either two or three 35minute quantitative sections. There will be 20 questions in
More informationCBSE CLASS10 MARCH 2018
CBSE CLASS10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION & ANSWER Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four
More information2018 LEHIGH UNIVERSITY HIGH SCHOOL MATH CONTEST
08 LEHIGH UNIVERSITY HIGH SCHOOL MATH CONTEST. A right triangle has hypotenuse 9 and one leg. What is the length of the other leg?. Don is /3 of the way through his run. After running another / mile, he
More information(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2
CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5
More informationClass 10 Real Numbers
ID : in10realnumbers [1] Class 10 Real Numbers For more such worksheets visit www.edugain.com Answer t he quest ions (1) The LCM of two numbers is 760 and their product is 6080. Find their HCF. (2)
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER TEST 09 (201819) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions
More informationHanoi Open Mathematical Competition 2017
Hanoi Open Mathematical Competition 2017 Junior Section Saturday, 4 March 2017 08h3011h30 Important: Answer to all 15 questions. Write your answers on the answer sheets provided. For the multiple choice
More informationSECTION A(1) k k 1= = or (rejected) k 1. Suggested Solutions Marks Remarks. 1. x + 1 is the longest side of the triangle. 1M + 1A
SECTION A(). x + is the longest side of the triangle. ( x + ) = x + ( x 7) (Pyth. theroem) x x + x + = x 6x + 8 ( x )( x ) + x x + 9 x = (rejected) or x = +. AP and PB are in the golden ratio and AP >
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 02 FOR PERIODIC TEST II EXAM (201819) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR PERIODIC TEST II EXAM: CLASS IX Chapter VSA (1 mark) SA I
More informationLatest Syllabus  NMO
Latest Syllabus  NMO CLASS 1 Numerals and Number Name (2 digit numbers) Addition, Subtraction Knowledge of currency notes. Knowledge of clock. Knowledge of basic units of Length,. Knowledge of basic figures
More informationRegd. Office : Aakash Tower, Plot No.4, Sec11, MLU, Dwarka, New Delhi Ph.: Fax :
Regd. Office : akash Tower, Plot No., Sec, MLU, Dwarka, New Delhi007 Ph.: 0766 Fax : 0767 dmissioncumscholarship Test (Sample Paper) First Step Course for JEE (Main & dvanced) 007 (Syllabus of
More informationPRACTICE TEST 1 Math Level IC
SOLID VOLUME OTHER REFERENCE DATA Right circular cone L = cl V = volume L = lateral area r = radius c = circumference of base h = height l = slant height Sphere S = 4 r 2 V = volume r = radius S = surface
More informationHistory of Mathematics Workbook
History of Mathematics Workbook Paul Yiu Department of Mathematics Florida Atlantic University Last Update: April 7, 2014 Student: Spring 2014 Problem A1. Given a square ABCD, equilateral triangles ABX
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F SESSING ENDING EXAM (201718) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA
More informationHANOI OPEN MATHEMATICAL COMPETITON PROBLEMS
HANOI MATHEMATICAL SOCIETY NGUYEN VAN MAU HANOI OPEN MATHEMATICAL COMPETITON PROBLEMS HANOI  2013 Contents 1 Hanoi Open Mathematical Competition 3 1.1 Hanoi Open Mathematical Competition 2006... 3 1.1.1
More informationNozha Directorate of Education Form : 2 nd Prep
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep Nozha Language Schools Geometry Revision Sheet Ismailia Road Branch Sheet ( 1) 1Complete 1. In the parallelogram, each
More information[ClassX] MATHEMATICS SESSION:
[ClassX] MTHEMTICS SESSION:01718 Time allowed: 3 hrs. Maximum Marks : 80 General Instructions : (i) ll questions are compulsory. (ii) This question paper consists of 30 questions divided into four sections,
More informationCAREER POINT PRE FOUNDATION DIVISON CLASS9. IMO StageII Exam MATHEMATICS Date :
CAREER POINT PRE FOUNDATION DIVISON IMO StageII Exam.07 CLASS9 MATHEMATICS Date : 007 Q. In the given figure, PQR is a right angled triangle, right angled at Q. If QRST is a square on side QR and
More information