# CBSE Sample Paper-03 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX. Time allowed: 3 hours Maximum Marks: 90

Size: px
Start display at page:

Download "CBSE Sample Paper-03 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX. Time allowed: 3 hours Maximum Marks: 90"

Transcription

1 CBSE Sample Paper-3 (Unsolved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed: 3 hours Maximum Marks: 9 General Instructions: a) All questions are compulsory. b) The question paper consists of 31 questions divided into five sections A, B, C, D and E. 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 8 questions of 3 marks each, Section D contains 1 questions of 4 marks each and Section E contains three OTBA questions of 3 mark, 3 mark and 4 mark. d) Use of calculator is not permitted. Section A 1. The numerator of a fraction is less than the denominator. Write a linear equation in two variables to represent the statement. (a) x = y 1 (b) x + y + 1 = (c) x + y = 1 (d) x = y 2. Area of the triangle is equal to (a) Base X corresponding altitude (b) 1 X Base X corresponding altitude 2 (c) 1 4 X Base X corresponding altitude (d) 1 3 X Base X corresponding altitude 3. The diameter of a roller is 84 cm and its length is 12 cm. it takes 5 complete revolution to move once over to level a playground. The area of the playground in m 2 is (a) 1184 (b) 1584 (c) 1284 (d) There are 6 boys and 4 girls in a class. A student is selected at random. Find the probability that the student is a girl. (a) 4 5 (b) 1 5 (c) 2 5 (d) 3 5 Section B 5. Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts the x-axis and the y-axis. 6. In the below figure ABCD is a parallelogram and DAB = 6. If the bisector AP and BP of angles A and B respectively meet P on CD. Prove that P is the midpoint of CD.

2 7. If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord. 8. P, Q, R, S are four consecutive points on a circle such that PQ = RS. Prove that PR = QS 9. Construct a triangle PQR given that QR = 3 cm, PQR = 45 and QP PR = 2 cm. 1. A die is rolled once. Find the probability of getting an odd number? Twelve defective balls are mixed with 132 good balls. It is not possible to just look at a ball and tell whether or not it is defective. One ball is taken out at random from this lot. Determine the probability that the ball taken is a good one. Section C 11. Give the equations of two lines passing through (2, 3). How many more such lines are there and why? Two student of your class contributed Rs. 2 together in a charity fund. Write the linear representing this data. Give some points. 12. In the below figure X and Y are respectively the mid-points of the opposite sides AD and BC of a parallelogram ABCD. Also BX and DY intersect AC at P and Q respectively. Show that AP = PQ = QC. 13. In the below figure ABCD is a quadrilateral and BE AC and also BE meets DC produced at E. show that area of ADE is equal to the area of the quadrilateral ABCD. 14. If a pair of parallel line is intersected by a transversal, show that the bisectors of a pair of alternate interior angles are also parallel.

3 15. In the given figure AB is a diameter of the circle; CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. prove that AEB = The pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 2 cm and height 1 m, how much concrete mixture would be required to build 14 such pillars? 17. The radius of a spherical balloon increases from 7 cm to 14 cm as air is pumped into it. Find the ratio of surface areas of the balloon in two cases. 18. A company selected 4 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table: Number of Televison/Household Monthly Income (In Rs) 1 2 above 2 < and above Find the probability of: (i) (ii) (iii) Of a household earning Rs and having exactly one television. A household earning Rs. 25 and more per year and owning two televisions. A household not having any television. Section D 19. Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. Prove that ABC is equal to half the difference of the angles subtended by the chords AC and DE at the centre.

4 2. A cancer detective centre is going to develop in our city of cuboid shape having 6 m, breadth 5 m and height 4 m. (a) Calculate its total area. (b) What concept derived from this activity? 21. One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number? 22. Construct a triangle with perimeter 2 cm and base angle 6 and Points P and Q have been taken on opposite sides AB and Cd respectively of a parallelogram ABCD such that AP =CQ. Show that AC and PQ bisect each other. Prove that the parallelogram on the same base and between the same parallels is equal area. 24. A storage tank is in the form of a cube. When it is full of water, the volume of the water is m 3. If the present depth of the water is 1.3 m. find the volume of water already used from the tank. 25. In the below figure ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersects DC at P, show that ar( BPC) = ar( DPQ) 26. ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prove that (i) AB + BC + CD + DA > AC + BD (ii) AB + BC + CD + DA < 2(AC + BD) 27. In the below figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that BEC = 13 and ECD = 2. Find BAC

5 28. Ove the past 2 working days, the number of defective parts produced by a machine is given in the following table: Number of defective parts Days Determine the probability that tomorrow s output will have (a) No defective part (b) At least one defective part (c) Not more than 5 defective parts (d) More than 13 defective parts Section E 29. OTBA Question for 3 marks from Statistics. Material will be supplied later. 3. OTBA Question for 3 marks from Statistics. Material will be supplied later. 31. OTBA Question for 4 marks from Statistics. Material will be supplied later.

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F PERIODIC TEST III EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks)

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 F SESSING ENDING EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA

### 8. Quadrilaterals. If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.

8. Quadrilaterals Q 1 Name a quadrilateral whose each pair of opposite sides is equal. Mark (1) Q 2 What is the sum of two consecutive angles in a parallelogram? Mark (1) Q 3 The angles of quadrilateral

### CBSE Sample Paper-04 (solved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX. Time allowed: 3 hours Maximum Marks: 90

CBSE Sample Paper-4 (solved) SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed: 3 hours Maximum Marks: 9 General Instructions: a) All questions are compulsory. b) The question paper consists of

### C5WEBZL SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed : 3 hours Maximum Marks : 90

C5WEBZL SUMMATIVE ASSESSMENT II MATHEMATICS Class IX Time allowed : hours Maximum Marks : 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 1 questions divided

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 F PERIODIC TEST III EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks)

### SUMMATIVE ASSESSMENT II, / MATHEMATICS IX / Class IX CBSETODAY.COM. : 3 hours 90 Time Allowed : 3 hours Maximum Marks: 90

SUMMATIVE ASSESSMENT II, 06-7 / MATHEMATICS IX / Class IX : hours 90 Time Allowed : hours Maximum Marks: 90.... 6 0 General Instructions:. All questions are compulsory.. The question paper consists of

### CBSE Sample Papers for (Class-9)

CBSE Sample Papers for (Class-9) Time allowed : 3 hours Maths Maximum Marks:90 General Instructions: (i) This question paper has five sections Section A, B,C,D and E.You are to attempt all the sections.

### II, SUMMATIVE ASSESSMENT II, / MATHEMATICS IX / Class IX

II, 06-7 SUMMATIVE ASSESSMENT II, 06-7 / MATHEMATICS IX / Class IX : hours 90 Time Allowed : hours Maximum Marks: 90 7RCN0C.... 6 0 General Instructions:. All questions are compulsory.. The question paper

### Sample Question Paper Mathematics First Term (SA - I) Class IX. Time: 3 to 3 ½ hours

Sample Question Paper Mathematics First Term (SA - I) Class IX 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

### KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD 32

KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD 32 SAMPLE PAPER 03 FOR SA II (2015-16) SUBJECT: MATHEMATICS BLUE PRINT : SA-II CLASS IX Unit/Topic Algebra Linear Equations in two variables Geometry Quadrilaterals,

### II, SUMMATIVE ASSESSMENT II, / MATHEMATICS IX / Class IX

II, 06-7 SUMMATIVE ASSESSMENT II, 06-7 / MATHEMATICS IX / Class IX : hours 90 Time Allowed : hours Maximum Marks: 90 YS7ZZ7.... 6 0 General Instructions:. All questions are compulsory.. The question paper

### PRACTICE QUESTIONS CLASS IX: CHAPTER 4 LINEAR EQUATION IN TWO VARIABLES

PRACTICE QUESTIONS CLASS IX: CHAPTER 4 LINEAR EQUATION IN TWO VARIABLES 1. Find the value of k, if x =, y = 1 is a solution of the equation x + 3y = k.. Find the points where the graph of the equation

### Important 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 SA-II, March-2012 only. This question paper

### 21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.

21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle. 22. Prove that If two sides of a cyclic quadrilateral are parallel, then

### Chapter (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.

### 10. Circles. Q 5 O is the centre of a circle of radius 5 cm. OP AB and OQ CD, AB CD, AB = 6 cm and CD = 8 cm. Determine PQ. Marks (2) Marks (2)

10. Circles Q 1 True or False: It is possible to draw two circles passing through three given non-collinear points. Mark (1) Q 2 State the following statement as true or false. Give reasons also.the perpendicular

### 9 th CBSE Mega Test - II

9 th CBSE Mega Test - II Time: 3 hours Max. Marks: 90 General Instructions All questions are compulsory. The question paper consists of 34 questions divided into four sections A, B, C and D. Section A

### DESIGN OF THE QUESTION PAPER

SET-II DESIGN OF THE QUESTION PAPER MATHEMATICS CLASS IX Time : 3 Hours Maximum Marks : 80 The weightage or the distribution of marks over different dimensions of the question paper shall be as follows:

### CBSE 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

### OUR OWN HIGH SCHOOL, AL WARQA A, DUBAI CMLSTQT SUMMATIVE ASSESSMENT II ( ) MATHEMATICS Class IX Time allowed : 3 hours Maximum Marks : 90

OUR OWN HIGH SCHOOL, AL WARQA A, DUBAI CMLSTQT SUMMATIVE ASSESSMENT II (05-06) MATHEMATICS Class IX Time allowed : hours Maximum Marks : 90 General Instructions : (i) All questions are compulsory. (ii)

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 F SESSING ENDING EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA

### KENDRIYA VIDYALAYA SANGATHAN (CHANDIGARH REGION) CLASS- IX ( ) SUBJECT- MATHEMATICS TIME: 3 HOURS M.M : 90

KENDRIYA VIDYALAYA SANGATHAN (CHANDIGARH REGION) CLASS- IX (2016-17) SUBJECT- MATHEMATICS TIME: 3 HOURS M.M : 90 General Instructions:- All questions are compulsory. The question paper consists of 31 questions

### PIONEER GUESS PAPER. MATHEMATICS Solutions TIME: 2:30 HOURS MAX. MARKS: 80

PIONEER GUESS PAPER 9 th CBSE (SA-II) MATHEMATICS Solutions TIME: :30 HOURS MAX. MARKS: 80 GENERAL INSTRUCTIONS & MARKING SCHEME All questions are compulsory. The questions paper consists of 34 questions

### KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 05 F SESSION ENDING EXAM (208-9) SUBJECT: MATHEMATICS(04) BLUE PRINT : CLASS IX Unit Chapter VSA ( mark) SA I (2 marks) SA II (3 marks) LA

### KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD 32

KENDRIYA VIDYALAYA GACHIBOWLI, HYDERABAD 32 SAMPLE PAPER 01 FOR SA II (2016-17) SUBJECT: MATHEMATICS BLUE PRINT : SA-II CLASS IX Unit/Topic Algebra Linear Equations in two variables Geometry Quadrilaterals,

### SUMMATIVE ASSESSMENT I, IX / Class IX

I, 0 SUMMATIVE ASSESSMENT I, 0 0 MATHEMATICS / MATHEMATICS MATHEMATICS CLASS CLASS - IX - IX IX / Class IX MA-0 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 8 6 0 0 (iii) 8 (iv) (v) General Instructions:

### New Question paper added for class 9 Maths sa-2 for March 2016 SUMMATIVE ASSESSMENT II,( ) ( ) MATHEMATICS. Class IX JSUNIL TUTORIAL

New Question paper added for class 9 Maths sa-2 for March 2016 SUMMTIVE SSESSMENT II,(2014-2015) ( 2015-16 ) EKII61 Time allowed : to 1/2 hours Maximum Marks: 90 General Instructions: MTHEMTIS lass IX

### CBSE Board Class X Summative Assessment II Mathematics

CBSE Board Class X Summative Assessment II Mathematics Board Question Paper 2014 Set 2 Time: 3 hrs Max. Marks: 90 Note: Please check that this question paper contains 15 printed pages. Code number given

### Important 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 SA-II, March-2012 only. This question paper

### TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions

CHAPTER 7 TRIANGLES (A) Main Concepts and Results Triangles and their parts, Congruence of triangles, Congruence and correspondence of vertices, Criteria for Congruence of triangles: (i) SAS (ii) ASA (iii)

### CBSE 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

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 F PERIODIC TEST III EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks)

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 F SESSING ENDING EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS IX Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 FOR HALF YEARLY EXAM (017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR HALF YEARLY EXAM: CLASS IX Chapter VSA (1 mark) SA I ( marks) SA II

### VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)

BY:Prof. RAHUL MISHRA Class :- X QNo. VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CIRCLES Subject :- Maths General Instructions Questions M:9999907099,9818932244 1 In the adjoining figures, PQ

### 1 What is the solution of the system of equations graphed below? y = 2x + 1

1 What is the solution of the system of equations graphed below? y = 2x + 1 3 As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A'B'C'D'E'F'. y = x 2 + 2x

### SUMMATIVE ASSESSMENT II SAMPLE PAPER I MATHEMATICS

SUMMATIVE ASSESSMENT II SAMPLE PAPER I MATHEMATICS Class: IX Time: 3-3 ½ hours M.Marks:80 General Instructions: 1. All questions are compulsory 2. The question paper consists of 34 questions divided into

### 6 CHAPTER. Triangles. A plane figure bounded by three line segments is called a triangle.

6 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius A plane figure bounded by three line segments is called a triangle We denote a triangle by the symbol In fig ABC has

### MATHEMATICS. (Two hours and a half) Answers to this Paper must be written on the paper provided separately.

CLASS IX MATHEMATICS (Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent

### 3. AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is:

Solved Paper 2 Class 9 th, Mathematics, SA 2 Time: 3hours Max. Marks 90 General Instructions 1. All questions are compulsory. 2. Draw neat labeled diagram wherever necessary to explain your answer. 3.

### b UVW is a right-angled triangle, therefore VW is the diameter of the circle. Centre of circle = Midpoint of VW = (8 2) + ( 2 6) = 100

Circles 6F a U(, 8), V(7, 7) and W(, ) UV = ( x x ) ( y y ) = (7 ) (7 8) = 8 VW = ( 7) ( 7) = 64 UW = ( ) ( 8) = 8 Use Pythagoras' theorem to show UV UW = VW 8 8 = 64 = VW Therefore, UVW is a right-angled

### Similarity 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

### ( 1 ) Show that P ( a, b + c ), Q ( b, c + a ) and R ( c, a + b ) are collinear.

Problems 01 - POINT Page 1 ( 1 ) Show that P ( a, b + c ), Q ( b, c + a ) and R ( c, a + b ) are collinear. ( ) Prove that the two lines joining the mid-points of the pairs of opposite sides and the line

### CAREER POINT PRE FOUNDATION DIVISON CLASS-9. IMO Stage-II Exam MATHEMATICS Date :

CAREER POINT PRE FOUNDATION DIVISON IMO Stage-II Exam.-07 CLASS-9 MATHEMATICS Date : -0-07 Q. In the given figure, PQR is a right angled triangle, right angled at Q. If QRST is a square on side QR and

### SAMPLE QUESTION PAPER 11 Class-X ( ) Mathematics

SAMPLE QUESTION PAPER 11 Class-X (2017 18) Mathematics GENERAL INSTRUCTIONS (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided into four sections A, B,C and D. (iii)

### Pre RMO Exam Paper Solution:

Paper Solution:. How many positive integers less than 000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3? Sum of Digits Drivable

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 02 FOR HALF YEARLY EXAM (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR HALF YEARLY EXAM: CLASS IX Chapter VSA (1 mark) SA I (2 marks) SA

### PIONEER GUESS PAPER MATHEMATICS

PIONEER GUESS PAPER 9 th CBSE (SA-II) MATHEMATICS TIME: 2:0 HOURS MAX. MARKS: 80 GENERAL INSTRUCTIONS & MARKING SCHEME All questions are compulsory. The questions paper consists of 4 questions divided

### (b) the equation of the perpendicular bisector of AB. [3]

HORIZON EDUCATION SINGAPORE Additional Mathematics Practice Questions: Coordinate Geometr 1 Set 1 1 In the figure, ABCD is a rhombus with coordinates A(2, 9) and C(8, 1). The diagonals AC and BD cut at

### CHAPTER 10 CIRCLES Introduction

168 MATHEMATICS CIRCLES CHAPTER 10 10.1 Introduction You may have come across many objects in daily life, which are round in shape, such as wheels of a vehicle, bangles, dials of many clocks, coins of

### 9. Areas of Parallelograms and Triangles

9. Areas of Parallelograms and Triangles Q 1 State true or false : A diagonal of a parallelogram divides it into two parts of equal areas. Mark (1) Q 2 State true or false: Parallelograms on the same base

### 0612ge. Geometry Regents Exam

0612ge 1 Triangle ABC is graphed on the set of axes below. 3 As shown in the diagram below, EF intersects planes P, Q, and R. Which transformation produces an image that is similar to, but not congruent

### 1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle?

1 For all problems, NOTA stands for None of the Above. 1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle? (A) 40 (B) 60 (C) 80 (D) Cannot be determined

### KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 01 FOR PERIODIC TEST II EXAM (018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR PERIODIC TEST II EXAM: CLASS IX Chapter VSA (1 mark) SA I (

### chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true?

chapter vector geometry solutions V. Exercise A. For the shape shown, find a single vector which is equal to a)!!! " AB + BC AC b)! AD!!! " + DB AB c)! AC + CD AD d)! BC + CD!!! " + DA BA e) CD!!! " "

### Grade 9 Circles. Answer t he quest ions. For more such worksheets visit

ID : th-9-circles [1] Grade 9 Circles For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it

### AREAS OF PARALLELOGRAMS AND TRIANGLES

AREAS OF PARALLELOGRAMS AND TRIANGLES Main Concepts and Results: The area of a closed plane figure is the measure of the region inside the figure: Fig.1 The shaded parts (Fig.1) represent the regions whose

### (A) 50 (B) 40 (C) 90 (D) 75. Circles. Circles <1M> 1.It is possible to draw a circle which passes through three collinear points (T/F)

Circles 1.It is possible to draw a circle which passes through three collinear points (T/F) 2.The perpendicular bisector of two chords intersect at centre of circle (T/F) 3.If two arcs of a circle

### Mathematics. Sample Question Paper. Class 9th. (Detailed Solutions) 2. From the figure, ADB ACB We have [( 16) ] [( 2 ) ] 3.

6 Sample Question Paper (etailed Solutions) Mathematics lass 9th. Given equation is ( k ) ( k ) y 0. t and y, ( k ) ( k ) 0 k 6k 9 0 4k 8 0 4k 8 k. From the figure, 40 [ angles in the same segment are

### 7. Find the value of If (a+1) and (a-1) are the factors of p(a)= a 3 x+2a 2 +2a - y, find x and y

AJANTA PUBLIC SCHOOL ASSIGNMENT (MATHS) SESSION 2018-19 CLASS - IX 1. Are the following Statements are True or False, also give reasons? (i) zero is a rational number (ii) Zero is natural number (iii)

### = 9 4 = = = 8 2 = 4. Model Question paper-i SECTION-A 1.C 2.D 3.C 4. C 5. A 6.D 7.B 8.C 9.B B 12.B 13.B 14.D 15.

www.rktuitioncentre.blogspot.in Page 1 of 8 Model Question paper-i SECTION-A 1.C.D 3.C. C 5. A 6.D 7.B 8.C 9.B 10. 11.B 1.B 13.B 1.D 15.A SECTION-B 16. P a, b, c, Q g,, x, y, R {a, e, f, s} R\ P Q {a,

### Q4. In ABC, AC = AB and B = 50. Find the value of C. SECTION B. Q5. Find two rational numbers between 1 2 and.

SUMMATIVE ASSESSMENT 1 (2013 2014) CLASS IX (SET I) SUBJECT : MATHEMATICS Time: 3 hours M.M. : 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 31 questions

### End Of Term 2 Revision Sheet

Egyptian British International School Math Department Name:. Year (8..) End Of Term 2 Revision Sheet * Answer The following questions after revising your classwork copybook, course book, homework book

### 27 th ARYABHATTA INTER-SCHOOL MATHEMATICS COMPETITION 2010 CLASS = VIII

7 th ARYABHATTA INTER-SCHOOL MATHEMATICS COMPETITION 00 CLASS = VIII Time Allowed: Hours Max. Marks: 00 Roll No. of the Participant: GENERAL INSTRUCTIONS :. Participant should not write his/her name on

### SAMPLE QUESTION PAPER Summative Assessment II Class-X ( ) Mathematics. Time Allowed: 3 Hours Max. Marks: 90

SAMPLE QUESTION PAPER Summative Assessment II Class-X (2016 17) Mathematics Time Allowed: 3 Hours Max. Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of31

Fill in the blanks Chapter 10 Circles Exercise 10.1 Question 1: (i) The centre of a circle lies in of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater

### 0114ge. Geometry Regents Exam 0114

0114ge 1 The midpoint of AB is M(4, 2). If the coordinates of A are (6, 4), what are the coordinates of B? 1) (1, 3) 2) (2, 8) 3) (5, 1) 4) (14, 0) 2 Which diagram shows the construction of a 45 angle?

Chapter 3 Cumulative Review Answers 1a. The triangle inequality is violated. 1b. The sum of the angles is not 180º. 1c. Two angles are equal, but the sides opposite those angles are not equal. 1d. The

### Test Corrections for Unit 1 Test

MUST READ DIRECTIONS: Read the directions located on www.koltymath.weebly.com to understand how to properly do test corrections. Ask for clarification from your teacher if there are parts that you are

### Grade 8(Mathematics) EV 4( )

Chapter-2 (Number system) Grade 8(Mathematics) EV 4(2016-17) Q. Find the three rational numbers between 3/5 and 3/4. Sol:- let,, be the required rational numbers. = ½ (3/5 + 3/4) = ½ ( ) = ½ 27/20 = 27/40

### b) What is the area of the shaded region? Geometry 1 Assignment - Solutions

Geometry 1 Assignment - Solutions 1. ABCD is a square formed by joining the mid points of the square PQRS. LKXS and IZXY are the squares formed inside the right angled triangles DSC and KXC respectively.

### COMMON UNITS OF PERIMITER ARE METRE

MENSURATION BASIC CONCEPTS: 1.1 PERIMETERS AND AREAS OF PLANE FIGURES: PERIMETER AND AREA The perimeter of a plane figure is the total length of its boundary. The area of a plane figure is the amount of

### KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 02 FOR PERIODIC TEST II EXAM (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT FOR PERIODIC TEST II EXAM: CLASS IX Chapter VSA (1 mark) SA I

ID : in-9-quadrilaterals [1] Class 9 Quadrilaterals For more such worksheets visit www.edugain.com Answer t he quest ions (1) The diameter of circumcircle of a rectangle is 13 cm and rectangle's width

### CBSE Board Class X Mathematics Term II Sample Paper 1 Time: 3 hrs Total Marks: 90

CBSE Board Class X Mathematics Term II Sample Paper 1 Time: 3 hrs Total Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 34 questions divided into four

### COORDINATE 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

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 03 (2017-18) 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

### LLT Education Services

8. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. (a) 4 cm (b) 3 cm (c) 6 cm (d) 5 cm 9. From a point P, 10 cm away from the

### TA0DV2S I, 2013 SUMMATIVE ASSESSMENT I, 2013 / MATHEMATICS IX / Class IX

TA0DVS I, 0 SUMMATIVE ASSESSMENT I, 0 / MATHEMATICS IX / Class IX 90 Time Allowed : hours Maximum Marks : 90 General Instructions: All questions are compulsory. 6 0 The question paper consists of questions

### SAMPLE QUESTION PAPER 09 Class-X ( ) Mathematics

SAMPLE QUESTION PAPER 09 Class-X (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

### Geometry Honors Review for Midterm Exam

Geometry Honors Review for Midterm Exam Format of Midterm Exam: Scantron Sheet: Always/Sometimes/Never and Multiple Choice 40 Questions @ 1 point each = 40 pts. Free Response: Show all work and write answers

### 1 / 23

CBSE-XII-07 EXAMINATION CBSE-X-009 EXAMINATION MATHEMATICS Series: HRL Paper & Solution Code: 0/ Time: Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question paper

Triangles 1.In ABC right angled at C, AD is median. Then AB 2 = AC 2 - AD 2 AD 2 - AC 2 3AC 2-4AD 2 (D) 4AD 2-3AC 2 2.Which of the following statement is true? Any two right triangles are similar

### Class-IX CBSE Latest Pattern Sample Paper {Mathematics}

Class-IX CBSE Latest Pattern Sample Paper {Mathematics} Term-I Examination (SA I) Time: 3hours Max. Marks: 90 General Instructions (i) All questions are compulsory. (ii) The question paper consists of

### Roll No. CLASS - VIII. 34 th ARYABHATTA INTER-SCHOOL MATHEMATICS COMPETITION Time Allowed: 2 Hours Max. Marks: 100 GENERAL INSTRUCTIONS:

Roll No. A Please check that this questionnaire contains 15 printed pages. Code A, B or C given on the right hand top corner of the questionnaire should be written on the answer sheet in the space provided.

UNIT-8 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 right-angled triangle, right-angled

### (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

### SOLUTIONS SECTION A [1] = 27(27 15)(27 25)(27 14) = 27(12)(2)(13) = cm. = s(s a)(s b)(s c)

1. (A) 1 1 1 11 1 + 6 6 5 30 5 5 5 5 6 = 6 6 SOLUTIONS SECTION A. (B) Let the angles be x and 3x respectively x+3x = 180 o (sum of angles on same side of transversal is 180 o ) x=36 0 So, larger angle=3x

### 2007 Fermat Contest (Grade 11)

Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 007 Fermat Contest (Grade 11) Tuesday, February 0, 007 Solutions

### 81-E If set A = { 2, 3, 4, 5 } and set B = { 4, 5 }, then which of the following is a null set? (A) A B (B) B A (C) A U B (D) A I B.

81-E 2 General Instructions : i) The question-cum-answer booklet contains two Parts, Part A & Part B. ii) iii) iv) Part A consists of 60 questions and Part B consists of 16 questions. Space has been provided

### Circles, Mixed Exercise 6

Circles, Mixed Exercise 6 a QR is the diameter of the circle so the centre, C, is the midpoint of QR ( 5) 0 Midpoint = +, + = (, 6) C(, 6) b Radius = of diameter = of QR = of ( x x ) + ( y y ) = of ( 5

### It is known that the length of the tangents drawn from an external point to a circle is equal.

CBSE -MATHS-SET 1-2014 Q1. The first three terms of an AP are 3y-1, 3y+5 and 5y+1, respectively. We need to find the value of y. We know that if a, b and c are in AP, then: b a = c b 2b = a + c 2 (3y+5)

### Q1. The sum of the lengths of any two sides of a triangle is always (greater/lesser) than the length of the third side. askiitians

Class: VII Subject: Math s Topic: Properties of triangle No. of Questions: 20 Q1. The sum of the lengths of any two sides of a triangle is always (greater/lesser) than the length of the third side. Greater

### Abhilasha Classes Sample Papers ( ) Class: IX

Abhilasha Classes Sample Papers (2017-18) Class: IX By: P.S. Kushwah (M.Sc.; B.Ed) For Strong Foundation VI, VII, VIII The FOUNDATION program is designed exclusively for students who are aiming to attain

### KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32

KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 05 (2018-19) 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

### Maharashtra Board Class X Mathematics - Geometry Board Paper 2014 Solution. Time: 2 hours Total Marks: 40

Maharashtra Board Class X Mathematics - Geometry Board Paper 04 Solution Time: hours Total Marks: 40 Note: - () All questions are compulsory. () Use of calculator is not allowed.. i. Ratio of the areas

### Part (1) Second : Trigonometry. Tan

Part (1) Second : Trigonometry (1) Complete the following table : The angle Ratio 42 12 \ Sin 0.3214 Cas 0.5321 Tan 2.0625 (2) Complete the following : 1) 46 36 \ 24 \\ =. In degrees. 2) 44.125 = in degrees,