MODEL SSLC EXAMINATION KEY FOR MATHEMATICS
|
|
- Evelyn Fox
- 6 years ago
- Views:
Transcription
1 MODEL SSLC EXAMINATION 018 KEY FOR MATHEMATICS SECTION I Q. Key Aswer Q. Key Aswer No No 1. () A \ B = A B 9. (4) 60 m. (4) {,4,5}. (1) a A.P 10. (4) 4.5 cm 4. (4) a k () ta θ 5. () cx + bx + a = 0 1. () ta θ 6. (1) 1, 0, 0, 1 1. (4) 7 : (4) (4) 7 8. () x y = () SECTION-II 16. B C = {, 4, 6} A (B C) = {, 4, 6, 7, 8, 9} 17. f (5) = 9, a = 9 f (8) = 15, b = = (1 4) + (9 16) +. = ( ) + ( 7) +.. a =, d = 4, = 10 S = [a + ( 1) d] 15 x 1 = 15 marks 10 x = 0 marks x 8 x 6x x 4 x x 4 = x α + β = 1, β = k, k = 1. a b = 10 a + b = 5 a =, b = 4 10 = [ 6 + (9 4)] = 10 ( x ) ( x x 4) ( x 4)( x ) ( x )( x ) x x 4 010
2 . Let a = k, b = k x y 1 k k It passes (, 4), k = x y (or) x +y 18 = 0.. I ABC, DE BC AD AE DB EC EC = 5.55 cm 4. LHS = si 6 x + cos 6 x = (si θ) + (cos θ) = (si θ + cos θ) si θ cos θ (si θ + cos θ) = 1 si θ cos θ = RHS BC 5. si 0 = AC AC = 1.8 m The legth of the ramp is 1.8 m r = = 7 cm h = 14 cm v = 1 π r h 156 v = (or) cm 7. π r = 77 cm π r = 186 TSA = π r = 4158 cm 8. Cv = 57, σ = 6.84 Cv = 100 x 684 x (s) = 4, (A) = ( A) P(A) = ( S) 4 00
3 1 0. (a) A I = A IA = A 9 6 AI = IA = A. 1 k 4 k (b) Area of ABC = 0, 0 k 1 k 7 k = SECTION-III 1. (Each diagram carries 1 mark) - 5 marks. f ( ) = 5, f ( ) = 15, f ( 1) =, f (1) = (i) f (5) + f (6) = 16 (ii) f (1) f ( ) = (iii) f ( ) f (4) = 5 (iv) f () f ( 1) 10 f (6) f (1) 15. a(1 r ) a(1 r S1, S 1 r 1 r a r (1 r ) S 1 = (S -S ) = (1 r) ), S a(1 r 1 r ar S S 1 = (1 r ) 1 r (S S 1 ) a r = (1 r ) S1( S S) (1 r) ) - marks - marks 00
4 4. 4x x + 4x 16x 4 4x + 5x 1x x 4 8x x 4x + 5x 4x + 9x 8x 6x + 16x 1x x 1x marks 4 16x 4x 5x 1x 4 4x x 5. The speed of the boat i the dowstream ad i the upstream are (15 + x) km/hr ad (15 x) km/hr respectively. 0 T1 ad T 15 x x 15 x 5 x = 00 x = ± x The speed of the stream is 5 km/ hr. 6. AB = marks (AB) T = B T A T = marks Equatio of PQ is x y + 9 = 0 At P, x = 0, y = P (0, ) 9 At Q, y = 0, x = 9 Q, 0 The equatio of the lie alog PR is x + y 9 = 0 040
5 8. a + b = 5, b = 5 a x y 1 a 5 a (5 a) x + ay = a (5 a) It passes (6, ), a = (or) a = 10 Whe a =, x +y = 6 Whe a = 10, x y 10 = Diagram Statemet Give To prove Costructio - marks Note: No diagram o mark. 40. LHS = (1 + cot θ cosec θ) (1 + ta θ + sec θ) cos 1 si 1 = 1 1 si si cos cos si cos 1 (cos si 1) = si cos (si cos ) 1 = si cos 1 si cos 1 = si cos = = RHS. 41. Let R, r be the radii ad h be the height of the frustum respectively. π R= 44 cm, πr = 8.4 π cm, h = 14 cm. R = 7 cm, r = 4. cm. 1 Volume of the frustum = h( R r Rr) = cm. - marks 4. Let r 1 ad h be the radius ad height of a right circular coe. Let r be the radius of the spherical shaped clay. Give that r 1 = 1 cm, h = 48 cm 4 1 r r1 h r - marks 1 The radius of the spherical clay = 1 cm 050
6 1 4. x x 7 x d = x x d d =154 - marks σ = d σ = σ = marks 44. (s) = 0 10 P(W) = 0 5 P(B) = 0 P (G) = 0 P(W U B U G ) = P(W) +P(B) +P (G) 10 5 = = (a) 108, 117,16., 999 This is a A.P, a = 108, d = 9, l = 999 l a 1 d = 100 S ( a l) S 100 = (b) Let α ad β = α be the roots of the equatio x + kx 81 = 0 a =, b = k, c = 81 α + β α + α k = α β α (α ) = 7 α = k =
7 SECTION IV 46. (a) Rough diagram First Circle Lie Segmet OP Perpedicular bisector Secod circle Two tagets lies Measurig the legth 46. (b) Rough diagram Draw a lie segmet PQ Draw arcs with radii 7 cm ad 5.5 cm. Joi PR ad QR Draw perpedicular bisectors of PQ ad QR Draw a circumcircle Joi PS ad RS - marks - marks -1mark -1mark - marks - marks -1mark 47. (a) y = x + x 1 x x x y Plot the poits ( 4, 0), (, 6), (, 10), ( 1, 1), (0, 1), (1, 10), (, 6), (, 0) Joi the poits by a smooth curve Scale ad drawig x ad y axis It has o real roots. - marks -4 marks - marks (b) y x y = kx y = x y x k Formatio of equatio Plottig the poits ad drawig the curve Drawig x ad y axes, scale Solutio Set x = 4, y = 8 y = 1, x = 6-5 marks - marks - marks YouTube:mathstimes_thirumuruga K.Thirumuruga PGT i maths GHSS Vazhuthavur VIllupuram Dt *************** 070
8 Etrace Coachig Programme for NEET, JIPMER & AIIMS Class starts o Saliet Features of Our Traiig:- Comprehesive Study Material. Maximum umber of Teachig / Traiig sessios (6hrs per day) ad sessio wise spot tests. Traiig i a efficiet way of aswerig - ivolvig speed, accuracy ad Itelliget Shortcuts. Topic wise uit tests, Four Revisio tests ad Two Model tests. Supply of Key ad Solutios to All Questios. All Model tests followed by Discussio Sessios. OUR COACHING CENTRES: 080
9 1. Puducherry - Professioal Istitute for Meritorious Studets # 9 & 1, Vallalar Salai, d Floor, Kamaraj Nagar, Puducherry-11.. Cuddalore - Krishasamy Memorial Matric. Hr. Sec. School. Neyveli - CNN, Block 5, Vivekaada Salai, Neyveli 4. Villupuram - Nithyaadha Hr. Sec. School 5. Tidivaam - Bharathi Matric. Hr. Sec. School 6. Thiruvaamalai - Mout St. Joseph Matric. Hr. Sec. School 7. Chidambaram - Nirmala Matric. Hr. Sec. School 8. Kallakurichi - Bharathi Matric. Hr. Sec. School Cell:
VIVEKANANDA VIDYALAYA MATRIC HR SEC SCHOOL FIRST MODEL EXAM (A) 10th Standard Reg.No. : MATHEMATICS - MOD EXAM 1(A)
Time : 0:30:00 Hrs VIVEKANANDA VIDYALAYA MATRIC HR SEC SCHOOL FIRST MODEL EXAM 018-19(A) 10th Stadard Reg.No. : MATHEMATICS - MOD EXAM 1(A) Total Mark : 100 I. CHOOSE THE BEST ANSWER WITH CORRECT OPTION:-
More informationSURA's Guides for 3rd to 12th Std for all Subjects in TM & EM Available. MARCH Public Exam Question Paper with Answers MATHEMATICS
SURA's Guides for rd to 1th Std for all Subjects in TM & EM Available 10 th STD. MARCH - 017 Public Exam Question Paper with Answers MATHEMATICS [Time Allowed : ½ Hrs.] [Maximum Marks : 100] SECTION -
More informationPoornima University, For any query, contact us at: ,18
AIEEE/1/MAHS 1 S. No Questios Solutios Q.1 he circle passig through (1, ) ad touchig the axis of x at (, ) also passes through the poit (a) (, ) (b) (, ) (c) (, ) (d) (, ) Q. ABCD is a trapezium such that
More informationSeptember 2016 Preparatory Examination NSC-KZN. Basic Education. KwaZulu-Natal Department of Basic Education REPUBLIC OF SOUTH AFRICA MATHEMATICS P2
Mathematics P -KZN September 016 Preparatory Eamiatio Basic Educatio KwaZulu-Natal Departmet of Basic Educatio REPUBLIC OF SOUTH AFRICA MATHEMATICS P PREPARATORY EXAMINATION SEPTEMBER 016 NATIONAL SENIOR
More informationBITSAT MATHEMATICS PAPER III. For the followig liear programmig problem : miimize z = + y subject to the costraits + y, + y 8, y, 0, the solutio is (0, ) ad (, ) (0, ) ad ( /, ) (0, ) ad (, ) (d) (0, )
More informationHALF YEARLY EXAMINATION Class-10 - Mathematics - Solution
. Let the required roots be ad. So, k k =. Smallest prime umber = Smallest composite umber = 4 So, required HF =. Zero of the polyomial 4x 8x : 4x 8x 0 4x (x + ) = 0 x = 0 or 4. Sice, a7 a 6d 4 = a + 6
More informationGRADE 12 JUNE 2016 MATHEMATICS P2
NATIONAL SENIOR CERTIFICATE GRADE 1 JUNE 016 MATHEMATICS P MARKS: 150 TIME: 3 hours *MATHE* This questio paper cosists of 11 pages, icludig 1 iformatio sheet, ad a SPECIAL ANSWER BOOK. MATHEMATICS P (EC/JUNE
More informationJEE ADVANCED 2013 PAPER 1 MATHEMATICS
Oly Oe Optio Correct Type JEE ADVANCED 0 PAPER MATHEMATICS This sectio cotais TEN questios. Each has FOUR optios (A), (B), (C) ad (D) out of which ONLY ONE is correct.. The value of (A) 5 (C) 4 cot cot
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P NOVEMBER 06 MARKS: 50 TIME: hours This questio paper cosists of 4 pages, iformatio sheet ad a aswer book of 8 pages. Mathematics/P DBE/November 06 INSTRUCTIONS
More informationGRADE 12 SEPTEMBER 2015 MATHEMATICS P2
NATIONAL SENIOR CERTIFICATE GRADE SEPTEMBER 05 MATHEMATICS P MARKS: 50 TIME: 3 hours *MATHE* This questio paper cosists of 3 pages icludig iformatio sheet, ad a SPECIAL ANSWERBOOK. MATHEMATICS P (EC/SEPTEMBER
More informationGRADE 12 JUNE 2017 MATHEMATICS P2
NATIONAL SENIOR CERTIFICATE GRADE 1 JUNE 017 MATHEMATICS P MARKS: 150 TIME: 3 hours *JMATHE* This questio paper cosists of 14 pages, icludig 1 page iformatio sheet, ad a SPECIAL ANSWER BOOK. MATHEMATICS
More informationObjective Mathematics
. If sum of '' terms of a sequece is give by S Tr ( )( ), the 4 5 67 r (d) 4 9 r is equal to : T. Let a, b, c be distict o-zero real umbers such that a, b, c are i harmoic progressio ad a, b, c are i arithmetic
More informationCBSE Class 10 th Mathematics Solved Paper 2016 SA II
CBSE Class 1 th Mathematics Solved Paper 16 SA II CBSE Class 1 th Mathematics Solved Paper 16 SA II Solved Questio Paper Class X Subject Mathematics All Idia: Set III Time allowed: hours Maximum Marks:
More informationThis paper consists of 10 pages with 10 questions. All the necessary working details must be shown.
Mathematics - HG Mar 003 Natioal Paper INSTRUCTIONS.. 3. 4. 5. 6. 7. 8. 9. This paper cosists of 0 pages with 0 questios. A formula sheet is icluded o page 0 i the questio paper. Detach it ad use it to
More informationMathematics Extension 2
004 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Etesio Geeral Istructios Readig time 5 miutes Workig time hours Write usig black or blue pe Board-approved calculators may be used A table of stadard
More informationANSWERSHEET (TOPIC = ALGEBRA) COLLECTION #2
Teko Classes IITJEE/AIEEE Maths by SUHAAG SIR, Bhopal, Ph (0755) 00 000 www.tekoclasses.com ANSWERSHEET (TOPIC ALGEBRA) COLLECTION # Questio Type A.Sigle Correct Type Q. (B) Sol ( 5 7 ) ( 5 7 9 )!!!! C
More informationCBSE CLASS-10 MARCH 2018
CBSE CLASS-10 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 informationSolution Of Class 10 th CBSE SA-II Board (Set-1)Mathematics
L.K. Gupta (Mathematic Classes) www.poineermathematics.com. MOBILE: 98155771, 461771 Solution Of Class 10 th CBSE SA-II Board (Set-1)Mathematics 1. (k 1) k = (k + 1) (k 1) k 1 k = k + 1 k + 1 k 1 = k.
More informationMOCK TEST - 02 COMMON ENTRANCE TEST 2012 SUBJECT: MATHEMATICS Time: 1.10Hrs Max. Marks 60 Questions 60. then x 2 =
MOCK TEST - 0 COMMON ENTRANCE TEST 0 SUBJECT: MATHEMATICS Time:.0Hrs Max. Marks 60 Questios 60. The value of si cot si 3 cos sec + + 4 4 a) 0 b) c) 4 6 + x x. If Ta - α + x + x the x a) cos α b) Taα c)
More informationSINGLE CORRECT ANSWER TYPE QUESTIONS: TRIGONOMETRY 2 2
Class-Jr.X_E-E SIMPLE HOLIDAY PACKAGE CLASS-IX MATHEMATICS SUB BATCH : E-E SINGLE CORRECT ANSWER TYPE QUESTIONS: TRIGONOMETRY. siθ+cosθ + siθ cosθ = ) ) ). If a cos q, y bsi q, the a y b ) ) ). The value
More informationNATIONAL SENIOR CERTIFICATE EXAMINATION MATHEMATICS P2 SEPTEMBER 2016 GRADE 12. This question paper consists of 13 pages including the formula sheet
NATIONAL SENIOR CERTIFICATE EXAMINATION MATHEMATICS P SEPTEMBER 06 GRADE MARKS: 50 TIME: 3 Hours This questio paper cosists of 3 pages icludig the formula sheet Mathematics/P September 06 INSTRUCTIONS
More informationMAHESH TUTORIALS SUBJECT : Maths(012) First Preliminary Exam Model Answer Paper
SET - GSE atch : 0th Std. Eg. Medium MHESH TUTORILS SUJET : Maths(0) First Prelimiar Exam Model swer Paper PRT -. ulike.... 6. 7.. 9. 0...... - i two distict poits (d) - ad - (d) 0 x + 0 6 does ot exist
More informationMT - MATHEMATICS (71) GEOMETRY - PRELIM II - PAPER - 6 (E)
04 00 Seat No. MT - MTHEMTIS (7) GEOMETRY - PRELIM II - (E) Time : Hours (Pages 3) Max. Marks : 40 Note : ll questions are compulsory. Use of calculator is not allowed. Q.. Solve NY FIVE of the following
More information[Class-X] MATHEMATICS SESSION:
[Class-X] MTHEMTICS SESSION:017-18 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 informationBRAIN TEASURES TRIGONOMETRICAL RATIOS BY ABHIJIT KUMAR JHA EXERCISE I. or tan &, lie between 0 &, then find the value of tan 2.
EXERCISE I Q Prove that cos² + cos² (+ ) cos cos cos (+ ) ² Q Prove that cos ² + cos (+ ) + cos (+ ) Q Prove that, ta + ta + ta + cot cot Q Prove that : (a) ta 0 ta 0 ta 60 ta 0 (b) ta 9 ta 7 ta 6 + ta
More informationConsortium of Medical Engineering and Dental Colleges of Karnataka (COMEDK) Undergraduate Entrance Test(UGET) Maths-2012
Cosortium of Medical Egieerig ad Detal Colleges of Karataka (COMEDK) Udergraduate Etrace Test(UGET) Maths-0. If the area of the circle 7 7 7 k 0 is sq. uits, the the value of k is As: (b) b) 0 7 K 0 c)
More informationBOARD QUESTION PAPER : MARCH 2016 GEOMETRY
BOARD QUESTION PAPER : MARCH 016 GEOMETRY Time : Hours Total Marks : 40 Note: (i) Solve All questions. Draw diagram wherever necessary. (ii) Use of calculator is not allowed. (iii) Diagram is essential
More informationMT - GEOMETRY - SEMI PRELIM - I : PAPER - 2
07 00 MT MT - GEOMETRY - SEMI PRELIM - I : PAPER - Time : Hours Model Answer Paper Ma. Marks : 40 A.. Attempt ANY FIVE of the following : (i) Slope of the line (m) 4 intercept of the line (c) 3 B slope
More informationGULF MATHEMATICS OLYMPIAD 2014 CLASS : XII
GULF MATHEMATICS OLYMPIAD 04 CLASS : XII Date of Eamiatio: Maimum Marks : 50 Time : 0:30 a.m. to :30 p.m. Duratio: Hours Istructios to cadidates. This questio paper cosists of 50 questios. All questios
More informationIYGB. Special Extension Paper E. Time: 3 hours 30 minutes. Created by T. Madas. Created by T. Madas
YGB Special Extesio Paper E Time: 3 hours 30 miutes Cadidates may NOT use ay calculator. formatio for Cadidates This practice paper follows the Advaced Level Mathematics Core ad the Advaced Level Further
More informationJEE(Advanced) 2018 TEST PAPER WITH SOLUTION (HELD ON SUNDAY 20 th MAY, 2018)
JEE(Advaced) 08 TEST PAPER WITH SOLUTION (HELD ON SUNDAY 0 th MAY, 08) PART- : JEE(Advaced) 08/Paper- SECTION. For ay positive iteger, defie ƒ : (0, ) as ƒ () j ta j j for all (0, ). (Here, the iverse
More information+ {JEE Advace 03} Sept 0 Name: Batch (Day) Phoe No. IT IS NOT ENOUGH TO HAVE A GOOD MIND, THE MAIN THING IS TO USE IT WELL Marks: 00. If A (α, β) = (a) A( α, β) = A( α, β) (c) Adj (A ( α, β)) = Sol : We
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE 1 MATHEMATICS P SEPTEMBER 016 MARKS: 150 TIME: 3 hours This questio paper cosists of 13 pages, 1 iformatio sheet ad a aswer book. INSTRUCTIONS AND INFORMATION Read the
More informationMathematics Extension 1
016 Bored of Studies Trial Eamiatios Mathematics Etesio 1 3 rd ctober 016 Geeral Istructios Total Marks 70 Readig time 5 miutes Workig time hours Write usig black or blue pe Black pe is preferred Board-approved
More informationRoots and Coefficients Polynomials Preliminary Maths Extension 1
Preliminary Maths Extension Question If, and are the roots of x 5x x 0, find the following. (d) (e) Question If p, q and r are the roots of x x x 4 0, evaluate the following. pq r pq qr rp p q q r r p
More informationSolving equations (incl. radical equations) involving these skills, but ultimately solvable by factoring/quadratic formula (no complex roots)
Evet A: Fuctios ad Algebraic Maipulatio Factorig Square of a sum: ( a + b) = a + ab + b Square of a differece: ( a b) = a ab + b Differece of squares: a b = ( a b )(a + b ) Differece of cubes: a 3 b 3
More informationNAME OF SCHOOL NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICS ALTERNATE PAPER PAPER 2 SEPTEMBER 2016
NAME OF SCHOOL NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS ALTERNATE PAPER PAPER SEPTEMBER 06 MARKS: 50 TIME: 3 hours This paper cosists of 3 pages ad a formula sheet INSTRUCTIONS Read the followig istructios
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P FEBRUARY/MARCH 03 MARKS: 50 TIME: 3 hours This questio paper cosists of pages, 3 diagram sheets ad iformatio sheet. Please tur over Mathematics/P DBE/Feb.
More informationMaharashtra State Board Class X Mathematics - Geometry Board Paper 2016 Solution
Maharashtra State Board Class X Mathematics - Geometry Board Paper 016 Solution 1. i. ΔDEF ΔMNK (given) A( DEF) DE A( MNK) MN A( DEF) 5 5 A( MNK) 6 6...(Areas of similar triangles) ii. ΔABC is 0-60 -90
More informationRegn. No. North Delhi : 33-35, Mall Road, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-09, Ph: ,
. Sectio-A cotais 30 Multiple Choice Questios (MCQ). Each questio has 4 choices (a), (b), (c) ad (d), for its aswer, out of which ONLY ONE is correct. From Q. to Q.0 carries Marks ad Q. to Q.30 carries
More informationCBSE MATHEMATICS (SET-2)_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 informationMATH 2411 Spring 2011 Practice Exam #1 Tuesday, March 1 st Sections: Sections ; 6.8; Instructions:
MATH 411 Sprig 011 Practice Exam #1 Tuesday, March 1 st Sectios: Sectios 6.1-6.6; 6.8; 7.1-7.4 Name: Score: = 100 Istructios: 1. You will have a total of 1 hour ad 50 miutes to complete this exam.. A No-Graphig
More informationCBSE CLASS X MATH -SOLUTION Therefore, 0.6, 0.25 and 0.3 are greater than or equal to 0 and less than or equal to 1.
CBSE CLASS X MATH -SOLUTION 011 Q1 The probability of an event is always greater than or equal to zero and less than or equal to one. Here, 3 5 = 0.6 5% = 5 100 = 0.5 Therefore, 0.6, 0.5 and 0.3 are greater
More informationMathematics Extension 2 SOLUTIONS
3 HSC Examiatio Mathematics Extesio SOLUIONS Writte by Carrotstics. Multiple Choice. B 6. D. A 7. C 3. D 8. C 4. A 9. B 5. B. A Brief Explaatios Questio Questio Basic itegral. Maipulate ad calculate as
More informationWe will conclude the chapter with the study a few methods and techniques which are useful
Chapter : Coordiate geometry: I this chapter we will lear about the mai priciples of graphig i a dimesioal (D) Cartesia system of coordiates. We will focus o drawig lies ad the characteristics of the graphs
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 informationSolutions to RSPL/1. Mathematics 10
Solutions to RSPL/. It is given that 3 is a zero of f(x) x 3x + p. \ (x 3) is a factor of f(x). So, (3) 3(3) + p 0 8 9 + p 0 p 9 Thus, the polynomial is x 3x 9. Now, x 3x 9 x 6x + 3x 9 x(x 3) + 3(x 3)
More informationPhysicsAndMathsTutor.com
PhysicsAdMathsTutor.com physicsadmathstutor.com Jue 005 3. The fuctio f is defied by (a) Show that 5 + 1 3 f:, > 1. + + f( ) =, > 1. 1 (4) (b) Fid f 1 (). (3) The fuctio g is defied by g: + 5, R. 1 4 (c)
More informationMathematics Extension 2
009 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Etesio Geeral Istructios Readig time 5 miutes Workig time hours Write usig black or blue pe Board-approved calculators may be used A table of stadard
More informationMT - GEOMETRY - SEMI PRELIM - I : PAPER - 1
07 00 MT A.. Attempt ANY FIVE of the following : (i) Slope of the line (m) 5 intercept of the line (c) B slope intercept form, The equation of the line is m + c 5 () + ( ) 5 MT - GEOMETRY - SEMI PRELIM
More informationTHE ASSOCIATION OF MATHEMATICS TEACHERS OF INDIA Screening Test - Bhaskara Contest (NMTC at JUNIOR LEVEL IX & X Standards) Saturday, 27th August 2016.
THE ASSOCIATION OF MATHEMATICS TEACHERS OF INDIA Screeig Test - Bhaskara Cotest (NMTC at JUNIOR LEVEL I & Stadards) Saturday, 7th August 06. Note : Note : () Fill i the respose sheet with your Name, Class,
More informationWBJEE Answer Keys by Aakash Institute, Kolkata Centre
WBJEE - 7 Aswer Keys by, Kolkata Cetre MATHEMATICS Q.No. B A C B A C A B 3 D C B B 4 B C D D 5 D A B B 6 C D B B 7 B C C A 8 B B A A 9 A * B D C C B B D A A D B B C B 3 A D D D 4 C B A A 5 C B B B 6 C
More informationphysicsandmathstutor.com
physicsadmathstutor.com 8. The circle C, with cetre at the poit A, has equatio x 2 + y 2 10x + 9 = 0. Fid (a) the coordiates of A, (b) the radius of C, (c) the coordiates of the poits at which C crosses
More informationMATHEMATICS (Three hours and a quarter)
MATHEMATICS (Three hours ad a quarter) (The first fiftee miutes of the eamiatio are for readig the paper oly. Cadidates must NOT start writig durig this time.) Aswer Questio from Sectio A ad questios from
More informationSS3 QUESTIONS FOR 2018 MATHSCHAMP. 3. How many vertices has a hexagonal prism? A. 6 B. 8 C. 10 D. 12
SS3 QUESTIONS FOR 8 MATHSCHAMP. P ad Q are two matrices such that their dimesios are 3 by 4 ad 4 by 3 respectively. What is the dimesio of the product PQ? 3 by 3 4 by 4 3 by 4 4 by 3. What is the smallest
More informationCircular Functions (Trigonometry)
Circular Fuctios (Trigoometry) Circular fuctios Revisio Where do si cos ad ta come from? Uit circle (of radius ) cos is the coordiate si is the y coordiate si ta cos all are measures of legth. Remember
More informationGRADE 11 NOVEMBER 2012 MATHEMATICS P2
Provice of the EASTERN CAPE EDUCATION NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 01 MATHEMATICS P MARKS: 150 TIME: 3 hours *MATHE* This questio paper cosists of 13 pages, icludig diagram sheets ad a
More informationMATHS X STD. Try, try and try again you will succeed atlast. P.THIRU KUMARESA KANI M.A., M.Sc.,B.Ed., (Maths)
MATHS X STD Try, try and try again you will succeed atlast P.THIRU KUMARESA KANI M.A., M.Sc.,B.Ed., (Maths) Govt.Girls High School,Konganapuram Salem (Dt.) Cell No. 9003450850 Email : kanisivasankari@gmail.com
More informationDepartment of Mathematics
WEEK Week 1 8 th Sept Departmet of Mathematics Scheme of Work Form 2 Term 12017-2018 Lesso Specific Objectives/Teachig Poits Number 1 Number Sets Natural umbers (N), Whole umbers (W), Itegers ( Z, Z, Z
More informationICSE Solved Paper, 2018
ICSE Solved Paper, 018 Class-X Mathematics (Maximum Marks : 80) (Time allowed : Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to
More informationSubject : MATHEMATICS
CCE RR 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALE 560 00 05 S. S. L. C. EXAMINATION, JUNE, 05 : 5. 06. 05 ] MODEL ANSWERS : 8-E Date : 5. 06. 05 ] CODE NO. : 8-E Subject
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE 1 MATHEMATICS P NOVEMBER 01 MARKS: 150 TIME: 3 hours This questio paper cosists of 13 pages, 1 diagram sheet ad 1 iformatio sheet. Please tur over Mathematics/P DBE/November
More informationVIVEKANANDA VIDYALAYA MATRIC HR SEC SCHOOL, RAMESWARAM. Lesson 1 & 7 & Exercise 9.1 ( Unit Test -1 ) 10th Standard
VIVEKANANDA VIDYALAYA MATRIC HR SEC SCHOOL, RAMESWARAM Lesson 1 & 7 & Exercise 9.1 ( Unit Test -1 ) 10 Standard Date : 6-Oct-18 MATHEMATICS Reg.No. : Time : 01:30:00 Hrs Total Marks : 50 I. CHOOSE THE
More informationAP CALCULUS AB 2003 SCORING GUIDELINES (Form B)
SCORING GUIDELINES (Form B) Questio 5 Let f be a fuctio defied o the closed iterval [,7]. The graph of f, cosistig of four lie segmets, is show above. Let g be the fuctio give by g ftdt. (a) Fid g (, )
More informationMT - GEOMETRY - SEMI PRELIM - I : PAPER - 4
07 00 MT A.. Attempt ANY FIVE of the following : (i) Slope of the line (m) 4 y intercept of the line (c) 0 By slope intercept form, The equation of the line is y m + c y (4) + (0) y 4 MT - GEOMETRY - SEMI
More information3 Show in each case that there is a root of the given equation in the given interval. a x 3 = 12 4
C Worksheet A Show i each case that there is a root of the equatio f() = 0 i the give iterval a f() = + 7 (, ) f() = 5 cos (05, ) c f() = e + + 5 ( 6, 5) d f() = 4 5 + (, ) e f() = l (4 ) + (04, 05) f
More informationMODEL TEST PAPER II Time : hours Maximum Marks : 00 Geeral Istructios : (i) (iii) (iv) All questios are compulsory. The questio paper cosists of 9 questios divided ito three Sectios A, B ad C. Sectio A
More information1. SETS AND FUNCTIONS
. SETS AND FUNCTIONS. For two sets A and B, A, B A if and only if B A A B A! B A + B z. If A B, then A + B is B A\ B A B\ A. For any two sets Pand Q, P + Q is " x : x! P or x! Q, " x : x! P and x b Q,
More information4038/02 October/November 2008
GCE O Level October/November 008 Suggested Solutions Additional Mathematics (408/0) version 1.1 ADDITIONAL MATHEMATICS Paper Suggested Solutions 1. Topic: Exponential Functions (i) Given: V =10000e -pt
More informationIndian Institute of Information Technology, Allahabad. End Semester Examination - Tentative Marking Scheme
Idia Istitute of Iformatio Techology, Allahabad Ed Semester Examiatio - Tetative Markig Scheme Course Name: Mathematics-I Course Code: SMAT3C MM: 75 Program: B.Tech st year (IT+ECE) ate of Exam:..7 ( st
More information(Question paper - With Answers) STD. X - MATHEMATICS. [Time Allowed : 2½ Hrs.] [Maximum Marks : 100]
GOVT SUPPLEMENTARY EXAM OCTOER - 06 (Question paper - With Answers) STD. X - MATHEMATICS [Time Allowed : ½ Hrs.] [Maimum Marks : 00] SECTION - I 8. The equation of a straight line passing through the point
More information1 Cabin. Professor: What is. Student: ln Cabin oh Log Cabin! Professor: No. Log Cabin + C = A Houseboat!
MATH 4 Sprig 0 Exam # Tuesday March st Sectios: Sectios 6.-6.6; 6.8; 7.-7.4 Name: Score: = 00 Istructios:. You will have a total of hour ad 50 miutes to complete this exam.. A No-Graphig Calculator may
More informationGRADE 12 SEPTEMBER 2015 MATHEMATICS P1
NATIONAL SENIOR CERTIFICATE GRADE 1 SEPTEMBER 015 MATHEMATICS P1 MARKS: 150 TIME: 3 hours *MATHE1* This questio paper cosists of 10 pages, icludig a iformatio sheet. MATHEMATICS P1 (EC/SEPTEMBER 015) INSTRUCTIONS
More information1 / 23
CBSE-XII-07 EXAMINATION CBSE-X-00 EXAMINATION MATHEMATICS Series: LRH/ Paper & Solution Code: 30// Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question
More information1 / 23
CBSE-XII-017 EXAMINATION CBSE-X-008 EXAMINATION MATHEMATICS Series: RLH/ Paper & Solution Code: 30//1 Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question
More informationCalculus 2 Test File Spring Test #1
Calculus Test File Sprig 009 Test #.) Without usig your calculator, fid the eact area betwee the curves f() = - ad g() = +..) Without usig your calculator, fid the eact area betwee the curves f() = ad
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P FEBRUARY/MARCH 0 MARKS: 50 TIME: 3 hours This questio paper cosists of 9 pages, 5 diagram sheets ad iformatio sheet. Please tur over Mathematics/P DBE/Feb.
More informationCBSE Board Class X Mathematics
CBSE Board Class X Mathematics Time: 3 hrs Total Marks: 80 General Instructions: 1. All questions are compulsory.. The question paper consists of 30 questions divided into four sections A, B, C, and D.
More informationPhysicsAndMathsTutor.com
PhysicsAdMathsTutor.com physicsadmathstutor.com Jue 005 4. f(x) = 3e x 1 l x, x > 0. (a) Differetiate to fid f (x). (3) The curve with equatio y = f(x) has a turig poit at P. The x-coordiate of P is α.
More informationMath 143 Review for Quiz 14 page 1
Math Review for Quiz age. Solve each of the followig iequalities. x + a) < x + x c) x d) x x +
More informationRao IIT Academy/ ICSE - Board 2018_Std X_Maths_QP + Solutions JEE MEDICAL-UG BOARDS KVPY NTSE OLYMPIADS. X - ICSE Board MATHS - QP + SOLUTIONS
Rao IIT Academy/ ICSE - Board 018_Std X_Maths_QP + Solutions JEE MEDICAL-UG BOARDS KVPY NTSE OLYMPIADS X - ICSE Board Date: 7.0.018 MATHS - QP + SOLUTIONS SECTION - A (40 Marks) Attempt all questions from
More informationMock Exam 1. 1 Hong Kong Educational Publishing Company. Section A 1. Reference: HKDSE Math M Q1 (4 - x) 3
Moc Exam Moc Exam Sectio A. Referece: HKDSE Math M 06 Q ( - x) + C () (-x) + C ()(-x) + (-x) 6 - x + x - x 6 ( x) + x (6 x + x x ) + C 6 6 6 6 C C x + x + x + x 6 6 96 (6 x + x x ) + + + + x x x x \ Costat
More informationMathematics Class X Board Paper 2011
Mathematics Class X Board Paper Solution Section - A (4 Marks) Soln.. (a). Here, p(x) = x + x kx + For (x-) to be the factor of p(x) = x + x kx + P () = Thus, () + () k() + = 8 + 8 - k + = k = Thus p(x)
More informationIIT JAM Mathematical Statistics (MS) 2006 SECTION A
IIT JAM Mathematical Statistics (MS) 6 SECTION A. If a > for ad lim a / L >, the which of the followig series is ot coverget? (a) (b) (c) (d) (d) = = a = a = a a + / a lim a a / + = lim a / a / + = lim
More informationGRADE 12 JUNE 2017 MATHEMATICS P1
NATIONAL SENIOR CERTIFICATE GRADE 1 JUNE 017 MATHEMATICS P1 MARKS: 150 TIME: 3 hours *MATHE1* This questio paper cosists of 11 pages, icludig a iformatio sheet. MATHEMATICS P1 (EC/JUNE 017) INSTRUCTIONS
More informationSubstitute these values into the first equation to get ( z + 6) + ( z + 3) + z = 27. Then solve to get
Problem ) The sum of three umbers is 7. The largest mius the smallest is 6. The secod largest mius the smallest is. What are the three umbers? [Problem submitted by Vi Lee, LCC Professor of Mathematics.
More informationGRADE 12 SEPTEMBER 2012 MATHEMATICS P2
Provice of the EASTERN CAPE EDUCATION NATIONAL SENIOR CERTIFICATE GRADE SEPTEMBER 0 MATHEMATICS P MARKS: 50 TIME: 3 hours *MATHE* This questio paper cosists of 4 pages, icludig a formula sheet ad 4 diagram
More informationCALCULUS AB SECTION I, Part A Time 60 minutes Number of questions 30 A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM.
AP Calculus AB Portfolio Project Multiple Choice Practice Name: CALCULUS AB SECTION I, Part A Time 60 miutes Number of questios 30 A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM. Directios: Solve
More information2. A die is rolled 3 times, the probability of getting a number larger than the previous number each time is
. If P(A) = x, P = 2x, P(A B) = 2, P ( A B) = 2 3, then the value of x is (A) 5 8 5 36 6 36 36 2. A die is rolled 3 times, the probability of getting a number larger than the previous number each time
More informationMATHEMATICS. IMPORTANT FORMULAE AND CONCEPTS for. Summative Assessment -II. Revision CLASS X Prepared by
MATHEMATICS IMPORTANT FORMULAE AND CONCEPTS for Summative Assessment -II Revision CLASS X 06 7 Prepared by M. S. KUMARSWAMY, TGT(MATHS) M. Sc. Gold Medallist (Elect.), B. Ed. Kendriya Vidyalaya GaCHiBOWli
More informationSolutions for May. 3 x + 7 = 4 x x +
Solutios for May 493. Prove that there is a atural umber with the followig characteristics: a) it is a multiple of 007; b) the first four digits i its decimal represetatio are 009; c) the last four digits
More informationPractice Assessment Task SET 3
PRACTICE ASSESSMENT TASK 3 655 Practice Assessment Task SET 3 Solve m - 5m + 6 $ 0 0 Find the locus of point P that moves so that it is equidistant from the points A^-3, h and B ^57, h 3 Write x = 4t,
More informationUNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST. First Round For all Colorado Students Grades 7-12 November 3, 2007
UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST First Roud For all Colorado Studets Grades 7- November, 7 The positive itegers are,,, 4, 5, 6, 7, 8, 9,,,,. The Pythagorea Theorem says that a + b =
More informationCBSE CLASS-10 MARCH 2018
CBSE CLASS-10 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 information1988 AP Calculus BC: Section I
988 AP Calculus BC: Sectio I 9 Miutes No Calculator Notes: () I this eamiatio, l deotes the atural logarithm of (that is, logarithm to the base e). () Uless otherwise specified, the domai of a fuctio f
More informationAssignment ( ) Class-XI. = iii. v. A B= A B '
Assigmet (8-9) Class-XI. Proe that: ( A B)' = A' B ' i A ( BAC) = ( A B) ( A C) ii A ( B C) = ( A B) ( A C) iv. A B= A B= φ v. A B= A B ' v A B B ' A'. A relatio R is dified o the set z of itegers as:
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 informationEDEXCEL STUDENT CONFERENCE 2006 A2 MATHEMATICS STUDENT NOTES
EDEXCEL STUDENT CONFERENCE 006 A MATHEMATICS STUDENT NOTES South: Thursday 3rd March 006, Lodo EXAMINATION HINTS Before the eamiatio Obtai a copy of the formulae book ad use it! Write a list of ad LEARN
More informationCOMPLEX NUMBERS AND DE MOIVRE'S THEOREM SYNOPSIS. Ay umber of the form x+iy where x, y R ad i = - is called a complex umber.. I the complex umber x+iy, x is called the real part ad y is called the imagiary
More information