ANSWER KEY & SOLUTIONS
|
|
- Anis Conley
- 5 years ago
- Views:
Transcription
1 PRE-HALFYEARLY ASSESSMENT- [P-H-A 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 to 6 are mark each 4. Section B Q 7 to are marks each. 5. Section C Q 3 to are 3 marks each. 6. Section D Q 3 to 30 are 4 marks each. 7. Do proper numbering of Answer in copy & Draw Neat Diagram Ans. Non terminating. (the denominator has factor 7 also, except factors and 5 i.e., q m 5 m ) or the prime factorization of q is not in the form m 5 n. Ans. Given, tan 5 p tan b 5 AB and BC 5 According to Pythagoras Theorem AC AB + BC () + ( 5 ) AC 6 cosec 6, sec cosec sec cosec sec Ans 3. Here, ABC ~ LMN Perimeter of ABC AB Perimeter of LMN LM 60 AB 48 8 AB 0 cm Ans 4. Smallest composite number 4 Smallest prime number Hence, HCF of 4 and is. 60Χ8 AB 40 Ans 5. Since (x + a) is a factor of P(x) x + ax + 5x + 0 P (-a) 0 a + a(-a) + 5(-a) a a 5a a a 0 a
2 Ans 6. Yes, Here, a a a b, 4a b b c and b c a a a b c The given system of equations is consistent. a b c Ans.7 DE.5 cm AD BD AD AB 3 DE BC DE BC cm 3 [By Thal s theorem] B D A E C Ans.8 cosec 30 o + 3 sin 60 o 3 4 tan 30 o () Ans. 9 A o sec4a cosec (A 0 o ) Sec4A sec {90 o (A 0 o )} sec (0 o A) 4A 0 o A 5A 0 o A o Ans 0. x y (i) x + y 4 (ii) On adding (i) and (ii), we get x 6 or x 3 From (i), 3 y y a 3, b. Ans. Ans Let the ten s digit be x and unit s digit y Number 0x + y 0x + y 4(x + y) 6x 3y x y Again 0x + y 3xy 0x + x 3x (x) x 6x x (rejecting x 0) x + y y 4 The required number is 4 Ans 3. As two zeros are and (x ) (x + ) x is a factor of the given polynomial. x 3 x - 3 x 3x x 6 x 3 - x 3x 6 3x x 3 + 3x x 6 (x + ) (x - ) (x 3) For zeros, x + 0, x - 0, x +3 0 x -, x, x -3 The zeros of given polynomial are, and -3.
3 Ans 4. We have, cot θ + (cosec θ ) + cosec θ + cosec θ 8. [sin θ sin 3 ] 3 Ans 5. Given integers are 56, 96 and 404. First we find the HCF of 56 and ( Ans Applying Euclid s division algorithm, we get x + 40 Since the remainder 40 0, so we apply the division lemma to 56 and ( x Since the remainder 6 0, so we apply the division lemma to 40 and ( 40 6 x + 8 Since 8 0, so we apply the division lemma to 6 and x ( Clearly, HCF of 56 and 96 is 8. Let us find the HCF of 8 and the third number 404 by Euclid s algorithm ( Applying Euclid s division, we get x ( Since the remainder is 4 0. So we apply the division lemma to 8 and x + 0 We observe that the remainder at this stage is zero. Therefore, the divisor of this stage i.e., 4 is the HCF of 56, 96 and 404. As we know, Dividend Quotient x Divisor + Remainder So, we have, x 3 3x + x + (x ) x g(x) + (-x +4) x 3 3x + x + + x 4 (x ) g(x) x 3 3x + 3x (x ) g(x) 3 x 3x gx ( ) ( x ) Now we divide x 3 3x +3x by x. We have, x x x x3 3x 3x x x x + 3x - x + x + - x x Hence, g(x) x x
4 Ans 7. Given pair of linear equations is x + 3y 6 x 3y From equation (i), we have table x 0 6 y 0 From equation (ii), we have table x 0 6 y -4 0 According to table we have graph as given (i) (ii) Lines (i) and (ii) intersect y-axis at (0, ) and (0, -4) Ans 8. Ans 9. XP XQ 3 XP XQ 3 We have, PY QZ XY XZ 4 Now, in XPQ and XYZ XP XQ [By BPT] XY XZ X X [Common] XPQ ~ XYZ [SAS similarity] In two similar triangles ar( XPQ) XP XP ar( XYZ XY XY ar( XPQ) 3 XP 3 3 XY 4 ar XPQ 9 x 3 8 cm 6 Area of quadrilateral PYZQ Area of XYZ Area of XPQ 3 cm 8 cm 4 cm Let us assume that 5 3is a rational number. So, 5 3may be written as p 5 3, where p and q are integers, having no common factor except and q 0. q p 5 p p q p Since, 5 p p is a rational number as P and q are integers. p 3 is also a rational number. Which contradicts our assumption. This, our supposition is wrong. Hence, 5 3 is an irrational number.
5 Ans 0. cot 54 tan (90 54) tan 36 tan 33 cot (90 33) cot 57 cos 45 sec 68 cosec (90 68) cosec sin Putting these values in the given expression we get sec 36 tan 36. sin.. cos ec 57 cot 57 sin Ans. 0 Let a be any positive integer. Then it is of the form 3q, 3q + or 3q +, so we have the following cases. Case (i) When a 3q a 3 (3q) 3 7q 3 9(3q 3 ) 9m where m 3q 3 Case (ii) When a 3q + a 3 (3q +) 3 (3q) 3 + 3(3q). +3 (3q) q 3 + 7q + 9q + 9q (3q + 3q + ) + 9m +, where m q (3q + 3q + ) Case (iii) When a 3q + a 3 (3q + ) 3 (3q) 3 + 3(3q). + 3 (3q) q q q + 8 9q(3q + 6q + 4) + 8 9m + 8, where m q (3q + 6q + 4) Hence, a 3 is either of the form 9m or 9m + or 9m + 8 Ans. Given: ABC and DBC are on the same base BC and AD intersects BC at O. To Prove: ar( ABC) AO ar( DBC) DO Construction: Draw AL BC and DM BC Proof: In ALO and DMO, we have ALO DMO 90 and AOL DOM (Vertically opposite angles) ALO ~ DMO (By AA-Similarity) AL AO DM DO (i) BC AL ar( ABC) AL AO ar( DBC BC DM DM DO (Using (i)) Hence, ar( ABC) AO ar( DBC DO
6 Ans.3. Let the number of rows be x. and number of plants in each row y Total number of plants xy. A.T.Q. xy (x ) (y + 3) xy xy + 3x y 3 or 3x y 3 () Again xy (x + ) (y 3) xy xy 3x + y 6 or 3x y 6 () On solving () and () y 9 From eqn () 3x 9 3 3x x 4 Total plants x y Total trees 36 (ii) Word problem relating to linear equations in two variables. (iii) Planting more trees will help to save environment. (iv) Yes, such type of activities will help the society active in large scale and create awareness in them about their environment. Ans4. In ABC, DE AC By Basic Proportionally Theorem, we have A D BD BE DA EC B In ABE, DF AE [given] C F E By Basic Proportionality Theorem, we have BD BF DA FE From (i) and (ii), we have BF BE FE EC Ans. 5 Then given system of equations: x + y 5 3x + ky 5 a a 3, b b k (i) c c For unique solutions a b a b 3 k k 6 For no solution a a b b c c 3 k 3 k 6 and k 6 which is not possible.
7 Ans 6. We have 5 x y 6 3 x y Let u and v x y We have 5u + v (i) 6u 3v (ii) Multiplying (i) by 3 and adding it with (ii), we have 5u + 3v 6 6u 3v u 7 u 7 3 Putting the value of u in equation (i), we have v v Here u 3 x 3 x 3 x 4 and v 3 y 3 y 3 y 5 Hence, solution of the given equations is x 4 and y 5 Ans 7. Since α and β are the zeros of the quadratic polynomial f(x) x 5x + 7. ( 5) 5 α + β and αβ 7 Let S and P denote respectively the sum and product of the zeros of the required polynomial. 5 5 Then, S (α +3β) + (3α +β) 5(α +β) 5 and P (α +3β) (3α +β) P 6α +6β + 3αβ 6α + 6β + αβ + αβ 6(α + β + αβ) + αβ 6 (α + β) + αβ P 6 4 Hence, the required polynomial g(x) is given by g(x) k (x Sx + P) 5 or g(x) k x x4, where k is any-zero real number. Ans 8. Given: Two triangles ABC and PQR such that ABC ~ PQR ar( ABC) AB BC CA To Prove: ar( PQR) PQ QR RP Construction: Draw AM BC and PN QR. Proof: ar (ABC) BC AM and ar (PQR) QR PN
8 So, BC AM ar( ABC) BC AM ar( PQR) QR PN QR PN (i) Now, in ABM and PQN, B Q (As ABC ~ PQR) and AMB PNQ (Each 90 ) So, ABM ~ PQN (AA similarity criterion) Therefore, AM AB PN PQ (ii) Also, ABC ~ PQR (Given) So, AB BC CA PQ QR RP (iii) Therefore, ar( ABC) AB AM ar( PQR) PQ PN [From (i) and (iii)] AB AB AB PQ PQ PQ Now using (iii), we get [From (ii)] ar( ABC) AB BC CA ar( PQR) PQ QR RP Let two triangles ABC and PQR are similar triangles. Here, area of ABC 8 cm and area of PQR 44 cm. Side AB 7 cm and let PQ x cm. ABC ~ PQR area of ( ABC) AB area of ( PQR) PQ x x 9 7 x 9x 7 7 x 9 x 36 cm Largest side of the larger triangle 36 cm. Ans.9 By long division method: Remainder x + ax + b On comparing a, b
9 Ans.30 L.H.S. cot A +cosec A-cosecA -cot AcosecA +cot A cot A +cosec A - cosec A -cot A cot A +cosec A - cot A -cosec A + cot A -cosec A + cot A -cosec A + cosec A +cot A [- coseca -cota ] cot A -cosec A + cosec A +cot A [-cosec A +cot A] cot A -cosec A + cosa + cosa cosec A +cot A + R.H.S. sin A sina sina
MT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1
CBSE - X MT EDUCARE LTD. SUMMATIVE ASSESSMENT - 03-4 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 informationPaper: 02 Class-X-Math: Summative Assessment - I
1 P a g e Paper: 02 Class-X-Math: 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 informationPaper: 03 Class-X-Math: Summative Assessment - I
1 P a g e Paper: 03 Class-X-Math: 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 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 SA-I, September-01 only. This question paper
More informationMathematics. Mock Paper. With. Blue Print of Original Paper. on Latest Pattern. Solution Visits:
10 th CBSE{SA I} Mathematics Mock Paper With Blue Print of Original Paper on Latest Pattern Solution Visits: www.pioneermathematics.com/latest_updates www.pioneermathematics.com S.C.O. - 36, Sector 40
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 SA-I, September-01 only. This question paper
More informationCBSE QUESTION PAPER CLASS-X MATHS
CBSE QUESTION PAPER CLASS-X 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 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 informationCBSE QUESTION PAPER CLASS-X MATHS
CBSE QUESTION PAPER CLASS-X 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 informationMT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1
CBSE - X MT EDUCARE LTD. SUMMATIVE ASSESSMENT - 03-4 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 informationANSWER KEY MATHS P-SA- 1st (FULL SA-1 SYLLABUS) Std. X
ANSWER KEY MATHS P-SA- 1st (FULL SA-1 SYLLABUS) Std. X General Instructions: 1. The question aer comrises of four sections, A, B, C & D.. All questions are comulsory. 3. Section A Q 1 to 4 are 1 mark each
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 informationClass-10 - Mathematics - Solution
SECTION-A 1. Using, dividend = divisor quotient + reainder. 3. = 53 33 + 19 = 1768 6 6 5 5 a a 5 BC BC 5 5 10 5 tana cotc AB AB 1 1 1 6 Using PT : BC 13 1 5 4. Given A.P.:, 8, 18 3,... So, d Class-10 -
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 informationMODEL QUESTION FOR SA1 (FOR LATE BLOOMERS)
MODEL QUESTION FOR SA1 (FOR LATE BLOOMERS) SECTION A 1x4=4 1. Find the number of zeros in the following fig. 2. 3. If 4cotA = 3, find tan A. 4. If the less than type ogive and the more than type ogive
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 SA-I, September-202 only. This question paper
More informationSOLUTIONS 10th Mathematics Solution Sample paper -01
SOLUTIONS 0th Mathematics Solution Sample paper -0 Sample Question Paper 6 SECTION A. The smallest prime number and smallest composite number is. Required HCF (, ).. y...(i) and + y...(ii) Adding both
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 informationSUMMATIVE ASSESSMENT I, 2012 / MATHEMATICS. X / Class X
I, 0 SUMMATIVE ASSESSMENT I, 0 MA-0 / MATHEMATICS X / Class X 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 4 8 6 0 0 4 (iii) 8 (iv) (v) 4 General Instructions: (i) All questions are compulsory.
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 SA-I, September-01 only. This question paper
More information( )( ) PR PQ = QR. Mathematics Class X TOPPER SAMPLE PAPER-1 SOLUTIONS. HCF x LCM = Product of the 2 numbers 126 x LCM = 252 x 378
Mathematics Class X TOPPER SAMPLE PAPER- SOLUTIONS Ans HCF x LCM Product of the numbers 6 x LCM 5 x 378 LCM 756 ( Mark) Ans The zeroes are, 4 p( x) x + x 4 x 3x 4 ( Mark) Ans3 For intersecting lines: a
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 informationDESIGN OF THE QUESTION PAPER Mathematics Class X
SET-I 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 informationSUMMATIVE ASSESSMENT I (2011) Lakdfyr ijh{kk&i. MATHEMATICS / xf.kr Class X / & X. Time allowed : 3 hours Maximum Marks : 80 fu/kkzfjr le; % 3?k.
For more sample papers visit : www.4ono.com SUMMATIVE ASSESSMENT I (20) Lakdfyr ijh{kk&i MATHEMATICS / xf.kr Class X / & X 600 Time allowed : 3 hours Maximum Marks : 80 fu/kkzfjr le; % 3?k.Vs : 80 General
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 informationI, SUMMATIVE ASSESSMENT I, / MATHEMATICS X / Class X
I, 015-16 SUMMATIVE ASSESSMENT I, 015-16 / MATHEMATICS X / Class X : hours 90 Time Allowed: hours Maximum Marks: 90 JMYCH7I 1.. 1 1 6 10 11.. General Instructions: 1. All questions are compulsory.. The
More informationSAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER Class-X (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 informationKENDRIYA VIDYALAYA GILL NAGAR CHENNAI -96 SUMMATIVE ASSESSMENT TERM I MODEL QUESTION PAPER TIME: 3 HOURS MAXIMUM MARKS: 90
KENDRIYA VIDYALAYA GILL NAGAR CHENNAI -96 SUMMATIVE ASSESSMENT TERM I MODEL QUESTION PAPER CLASS X MATHEMATICS TIME: 3 HOURS MAXIMUM MARKS: 90 General Instructions: 1. All Questions are compulsory. 2.
More informationMarking Scheme. Mathematics Class X ( ) Section A
Marking Scheme Mathematics Class X (017-18) Section A S.No. Answer Marks 1. Non terminating repeating decimal expansion.. k ±4 3. a 11 5 4. (0, 5) 5. 9 : 49 6. 5 Section B 7. LCM (p, q) a 3 b 3 HCF (p,
More informationMODEL QUESTION PAPERS WITH ANSWERS SET 1
MTHEMTICS MODEL QUESTION PPERS WITH NSWERS SET 1 Finish Line & Beyond CLSS X Time llowed: 3 Hrs Max. Marks : 80 General Instructions: (1) ll questions are compulsory. (2) The question paper consists of
More informationSUMMATIVE ASSESSMENT I (011) Lakdfyr ijh{kk&i MATHEMATICS / xf.kr Class X / & X 60018 Time allowed : 3 hours Maximum Marks : 80 fu/kkzfjr le; % 3?k.Vs : 80 General Instructions: (i) All questions are compulsory.
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 informationDAV Public School, Jharsuguda
DAV Public School, Jharsuguda QUESTIONS BANK CLASS-X Term-I Real Number (1Mark) 1.The LCM of two numbers is 760 and their product is 6080. Find their HCF. 2. Is it possible for the LCM and HCF of numbers
More informationMore Polynomial Equations Section 6.4
MATH 11009: More Polynomial Equations Section 6.4 Dividend: The number or expression you are dividing into. Divisor: The number or expression you are dividing by. Synthetic division: Synthetic division
More informationSUMMATIVE 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:
More informationANSWERS. CLASS: VIII TERM - 1 SUBJECT: Mathematics. Exercise: 1(A) Exercise: 1(B)
ANSWERS CLASS: VIII TERM - 1 SUBJECT: Mathematics TOPIC: 1. Rational Numbers Exercise: 1(A) 1. Fill in the blanks: (i) -21/24 (ii) -4/7 < -4/11 (iii)16/19 (iv)11/13 and -11/13 (v) 0 2. Answer True or False:
More informationSample Question Paper 7
0th Mathematics Solution Sample paper -0 Sample Question Paper 7 SECTION. 8 5 5 75 0 75 0. The equation of one line 4x + y 4. We know that if two lines a x + b y + c 0 and a x + b y + c 0 are parallel,
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 informationMATHEMATICS. Time allowed : 3 hours Maximum Marks : 100 QUESTION PAPER CODE 30/1/1 SECTION - A
MATHEMATICS Time allowed : 3 hours Maximum Marks : 100 GENERAL INSTRUCTIONS : 1. All questions are compulsory 2. The question paper consists of 30 questions divided into four sections - A, B, C and D.
More informationVisit For All NCERT Solutions, CSBE Sample papers, Question, papers, Notes For Class 6 to 12
SUMMATIVE-ASSESSMENT-1 1-16 SUBJECT MATHEMATICS CLASS-X zzdr-13 Time allowed: 3 hours Maximum Marks: 9 General Instructions: 1. All questions are compulsory. The question paper consists of 31 questions
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 informationKENDRIYA 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
More informationKENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 (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
More information1 / 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
More informationCBSE Sample Question Paper 1 ( )
CBSE Sample Question Paper (07-8 Time: Hours Maximum Marks: 80 General Instructions: (i All questions are compulsory. (ii The question paper consists of 0 questions divided into four sections A, B, C and
More informationTime Allowed : 3 hours Maximum Marks : 90. jsuniltutorial
6KN77NA I, 0 SUMMATIVE ASSESSMENT I, 0 / MATHEMATICS X / Class X 90 Time Allowed : hours Maximum Marks : 90 General Instructions: All questions are compulsory. - 8 0 6 0 The question paper consists of
More informationSUMMATIVE ASSESSMENT I (2011) Lakdfyr ijh{kk&i. MATHEMATICS / xf.kr Class X / & X. Time allowed : 3 hours Maximum Marks : 80 fu/kkzfjr le; % 3?k.
SUMMATIVE ASSESSMENT I (011) Lakdfyr ijh{kk&i MATHEMATICS / f.kr Class X / & X 56003 Time allowed : 3 hours Maimum Marks : 80 fu/kkzfjr le; % 3?k.Vs : 80 General Instructions: (i) All questions are compulsory.
More informationMODEL TEST PAPER 9 FIRST TERM (SA-I) MATHEMATICS (With Answers)
MODEL TEST PAPER 9 FIRST TERM (SA-I) 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 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 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 03 (2018-19) (ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions are compulsory.
More informationSample 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
More informationClass-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
More informationKARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2018 S. S. L. C. EXAMINATION, JUNE, 2018
CCE RR REVISED & UN-REVISED O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE 560 00 G È.G È.G È.. Æ fioê, d È 08 S. S. L.
More informationCBSE 10th Maths 2016 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 Maths 2016 Unsolved Paper Summative Assessment
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 06 (018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit
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 informationZEROS OF POLYNOMIAL FUNCTIONS ALL I HAVE TO KNOW ABOUT POLYNOMIAL FUNCTIONS
ZEROS OF POLYNOMIAL FUNCTIONS ALL I HAVE TO KNOW ABOUT POLYNOMIAL FUNCTIONS TOOLS IN FINDING ZEROS OF POLYNOMIAL FUNCTIONS Synthetic Division and Remainder Theorem (Compressed Synthetic Division) Fundamental
More informationKENDRIYA VIDYALAYA SANGATHAN, ERNAKULAM REGION
KENDRIYA VIDYALAYA SANGATHAN, ERNAKULAM REGION SUMMATIVE ASSESSMENT-1 :1-13 (Question Paper) TIME: 3 hrs Class-1 : Mathematics MaxMarks=9 Total No Pages: 6 GENERAL INSTRUCTIONS (i) All questions are compulsory
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 informationSUMMATIVE ASSESSMENT I (2011) Lakdfyr ijh{kk&i. MATHEMATICS / xf.kr Class X / Section-A
SUMMATIVE ASSESSMENT I (011) Lakdfyr ijh{kk&i 56006 MATHEMATICS / xf.kr &X Class X / Time allowed : 3 hours Maximum Marks : 80 fu/kkzfjr le; % 3?k.Vs : 80 General Instructions: All questions are compulsory.
More informationKENDRIYA 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
More information[Maxin~um Marks : 80 General Instructions :
llme Albwed : S to 3% Hoursl MODEL TEST PAPER 4 FIRST TERM (SA-I) MATHEMATICS (With Answers) CLASS X [Maxin~um Marks : 80 General Instructions : (i) All questions are compulsory. (ii) The question paper
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 informationSAMPLE QUESTION PAPER MATHEMATICS
SAMPLE QUESTION PAPER 07-8 MATHEMATICS Time allowed : 3 hrs Maximum marks : 80 General Instructions : All questions are compulsory. The question paper consists of 30 questions divided into four sections
More informationKENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 03 (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
More informationO %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE
CCE RF CCE RR O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 50 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALE 50 00 G È.G È.G È.. Æ fioê,» ^È% / HØ È 0 S. S. L. C. EXAMINATION,
More informationSample Question Paper - I Mathematics - Class X. Time : Three hours Max.Marks :80 JSUNIL TUTORIAL
Sample Question Paper - I Mathematics - Class X Time : Three hours Max.Marks :80 General Instructions. 1. All Questions are compulsory. 2. The question paper consists of thirty questions divided into 4
More informationKENDRIYA 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
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 informationSOLUTIONS SECTION A SECTION B
SOLUTIONS SECTION A 1. C (1). A (1) 3. B (1) 4. B (1) 5. C (1) 6. B (1) 7. A (1) 8. D (1) SECTION B 9. 3 3 + 7 = 3 3 7 3 3 7 3 3 + 7 6 3 7 = 7 7 6 3 7 3 3 7 0 10 = = 10. To find: (-1)³ + (7)³ + (5)³ Since
More informationTOPIC-1. Unit -I : Number System. Chapter - 1 : Real Numbers. Euclid s Division Lemma and Fundamental Theorem of Arithmetic.
Unit -I : Number System Chapter - : Real Numbers TOPIC- Euclid s Division Lemma and Fundamental Theorem of rithmetic lgorithm : n algorithm is a series of well defined steps which gives a procedure for
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 informationKARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE S. S. L. C. EXAMINATION, MARCH/APRIL, » D} V fl MODEL ANSWERS
CCE RF CCE RR O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALE 560 00 G È.G È.G È.. Æ fioê,» ^È% / HØ È 08 S. S. L. C. EXAMINATION,
More informationReal Numbers. Euclid s Division Lemma P-1 TOPIC-1. qqq SECTION S O L U T I O N S
SECTION CHPTER B Real Numbers TOPIC- Euclid s Division Lemma Sol.. a and b are two positive integers such that the least prime factor of a is and the least prime factor of b is. Then least prime factor
More informationEDULABZ INTERNATIONAL NUMBER SYSTEM
NUMBER SYSTEM 1. Find the product of the place value of 8 and the face value of 7 in the number 7801. Ans. Place value of 8 in 7801 = 800, Face value of 7 in 7801 = 7 Required product = 800 7 = 00. How
More informationA SQUARE SERIES TRIGONOMETRY SSC TRIGONOMETRY. [Pick the date]
SSC TRIGONOMETRY A SQUARE SERIES [Pick the date] SSC TRIGONOMETRY A Squre Study Material Arif Baig Cell:97080654, Email:arif4medn@gmail.com, web: . Trigonometry Triogonometry: Trigonometry is the study
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 2011 CCE QUESTION PAPER. FIRST TERM (SA-I) MATHEMATICS CODE NO A1 (With Solutions) CLASS X
CBSE 2011 CCE QUESTION PAPER FIRST TERM (SAI) MATHEMATICS CODE NO. 1040105A1 (With Solutions) CLASS X Time Allowed : 3 to 3% IIoursl [Maximum Marks : 80 General Instructions : (i) All questions are compulsory.
More informationCHAPTER - 2 EQUATIONS. Copyright -The Institute of Chartered Accountants of India
CHAPTER - EQUATIONS EQUATIONS LEARNING OBJECTIVES After studying this chapter, you will be able to: u Understand the concept of equations and its various degrees linear, simultaneous, quadratic and cubic
More informationASSIGNMENT NO -1 (SIMILAR TRIANGLES)
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 =
More informationBlue print Chapters 1mark 2marks 3marks 4marks total
PRE-BOARD SAMPLE PAPER 2018-19 CLASS-X BLUEPRINT Blue print Chapters 1mark 2marks 3marks 4marks total real numbers 1 1 5 Polynomials 1 1 4 Linear equations 1 1 6 quadratic equation 1 1 6 A.P. 1 4 Triangles
More informationKENDRIYA 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
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 informationICSE QUESTION PAPER Class X Maths (2016) Solution
ICSE QUESTION PAPER Class X Maths (016) Solution SECTION A 1. (a) Let f(x) x x kx 5 Using remainder theorem, f() 7 () () k() 5 7 (8) (4) k() 5 7 16 1 k 5 7 k 16 1 5 7 k 6 k 1 (b) A = 9A + MI A 9A mi...
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 informationKendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80
Kendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80 General Instruction :-. All Questions are compulsory, however internal choices are given in some questions.. This question paper
More informationSec 4 Maths. SET A PAPER 2 Question
S4 Maths Set A Paper Question Sec 4 Maths Exam papers with worked solutions SET A PAPER Question Compiled by THE MATHS CAFE 1 P a g e Answer all the questions S4 Maths Set A Paper Question Write in dark
More information0615a2. Algebra 2/Trigonometry Regents Exam x 2 y? 4 x. y 2. x 3 y
Algebra /Trigonometry Regents Exam 065 www.jmap.org 065a Which list of ordered pairs does not represent a one-to-one function? ) (, ),(,0),(,),(4,) ) (,),(,),(,4),(4,6) ) (,),(,4),(,),(4,) 4) (,5),(,4),(,),(4,0)
More informationO %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE
CCE PF CCE PR O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 50 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE 50 00 G È.G È.G È.. Æ fioê,» ^È% / HØ È 0 S. S. L. C. EXAMINATION,
More informationRAMANUJAN MATHEMATICS CLUB,
A. B Q R C A=, BQ= AC=11 BC=... In the adjacent figure, If A= cm, BQ= cm and AC=11 cm, then BC=...cm. 1 ) 1 ) ) 1 8. ; Match the following. a) r h ) b) ) c) ) d) 1 r r r h 1 a, b, c, d ) 1 d, c, b, a )
More informationDESIGN 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:
More information9 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
More information, a 1. , a 2. ,..., a n
CHAPTER Points to Remember :. Let x be a variable, n be a positive integer and a 0, a, a,..., a n be constants. Then n f ( x) a x a x... a x a, is called a polynomial in variable x. n n n 0 POLNOMIALS.
More informationDISCUSSION CLASS OF DAX IS ON 22ND MARCH, TIME : 9-12 BRING ALL YOUR DOUBTS [STRAIGHT OBJECTIVE TYPE]
DISCUSSION CLASS OF DAX IS ON ND MARCH, TIME : 9- BRING ALL YOUR DOUBTS [STRAIGHT OBJECTIVE TYPE] Q. Let y = cos x (cos x cos x). Then y is (A) 0 only when x 0 (B) 0 for all real x (C) 0 for all real x
More informationQ4. 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
More informationPRE BOARD EXAMINATION CODE : E SESSION CLASS : X MAXIMUM MARKS: 80 SECTION A
PRE BOARD EXAMINATION CODE : E SESSION 017-018 CLASS : X MAXIMUM MARKS: 80 SUBJECT : MATHEMATICS TIME : HOURS General Instructions: (i) All questions are compulsory. (ii) The question paper consists of
More informationSome Basic Logic. Henry Liu, 25 October 2010
Some Basic Logic Henry Liu, 25 October 2010 In the solution to almost every olympiad style mathematical problem, a very important part is existence of accurate proofs. Therefore, the student should be
More informationTRIANGLE EXERCISE 6.4
TRIANGLE EXERCISE 6.4. Let Δ ABC ~ Δ DEF and their areas be, respectively, 64 cm2 and 2 cm2. If EF =5.4 cm, find BC. Ans; According to question ABC~ DEF ar( DEF) = AB2 DE 2 = BC2 EF 2 = AC2 DF 2 64cm 2
More informationProblem 1. Answer: 95
Talent Search Test Solutions January 2014 Problem 1. The unit squares in a x grid are colored blue and gray at random, and each color is equally likely. What is the probability that a 2 x 2 square will
More information