# CCE RR. ( / English Version ) ( / New Syllabus ) ( / Regular Repeater )

Save this PDF as:

Size: px
Start display at page:

Download "CCE RR. ( / English Version ) ( / New Syllabus ) ( / Regular Repeater )"

## Transcription

1 CCE RR 1 81-E : 81-E Code No. : 81-E CCE RR Subject : MATHEMATICS ( / English Version ) ( / New Syllabus ) ( / Regular Repeater ) General Instructions : i) The Question-cum-Answer Booklet consists of objective and subjective types of questions having 40 questions. ii) Space has been provided against each objective type question. You have to choose the correct choice and write the complete answer along with its letter in the space provided. iii) For subjective type questions enough space for each question has been provided. You have to answer the questions in the space. iv) Follow the instructions given against both the objective and subjective types of questions. v) Candidates should not write the answer with pencil. Answers written in pencil will not be evaluated. ( Except Graphs, Diagrams & Maps ) vi) In case of Multiple Choice, Fill in the blanks and Matching questions, scratching / rewriting / marking is not permitted, thereby rendering to disqualification for evaluation. vii) Candidates have extra 15 minutes for reading the question paper. viii) Space for Rough Work has been printed and provided at the bottom of each page. ix) Do not write anything in the space provided in the right side margin RR-60 [ Turn over

2 81-E CCE RR I. Four alternatives are given for each of the following questions / incomplete statements. Only one of them is correct or most appropriate. Choose the correct alternative and write the complete answer along with its letter in the space provided against each question. 8 1 = 8 1. By applying Euclid s division lemma 7 and 8 can be expressed as (A) 8 = ( 7 16 ) (B) 7 = ( 8 ) + 16 (C) 7 = ( 8 ) 16 (D) 16 = 7 ( 8 + ).. A and B are two sets. If n ( A ) = 0, n ( B ) = 30 and n ( A B ) = 40, then n ( A B ) is equal to (A) 50 (B) 10 (C) 40 (D) If a, b and c are in Arithmetic progression then b a c b is equal to (A) b a (B) 0 (C) 1 (D) a. 4. The occurrence of one event excludes the occurrence of other event. In a random experiment of probability theory it is called (A) Complementary event (B) Impossible event (C) Mutually exclusive event (D) Certain event. 5. The standard deviation of a set of scores is 1 6. The variance of these scores is (A) 0 4 (B) 1 96 (C) 0 04 (D) RR-60

3 CCE RR 3 81-E 6. The product of 3 3 and 3 4 is (A) 6 (B) 8 (C) 10 (D) In the following figure ABC = 90 and BD AC. If AD = 8 cm, CD = cm, then the length of BD is (A) 4 cm (B) 8 cm (C) 16 cm (D) 10 cm. 8. In the following figure AB BC and ACB = 30, given BC = 300 m. The length of AB is (A) 10 m (B) 100 m (C) 10 3 m (D) m RR-60 [ Turn over

4 81-E 4 CCE RR II. Answer the following : 6 1 = 6 9. If T n n 5 then find T Write the degree of the polynomial 19 x 3 x Rationalise the surd 5 to get a rational number. 1. PQ and PR are tangents to given circle as shown in the figure. If RPQ = 90 and PQ = 8 cm, find the radius of the circle. 13. Write the discriminant of the equation ax bx c Write the formula to find the total surface area of a right circular cylinder. III. Answer the following : 15. Show that is an irrational number. 16. Draw Venn diagrams to illustrate the following sets : (i) ( A B ) l (ii) A l B. 17. In a Harmonic Progression T and T Find T 1. n 18. If P 90, then find the value of n. 19. An unbiased cubical die whose faces are numbered 1 to 6 is rolled once. Find the probability of getting a square number on the top face RR-60

5 CCE RR 5 81-E 0. Rationalise the denominator and simplify : Find the roots of the equation x 7x 1 0 by using the formula. Solve x 6x 7 0 by the method of completing the square.. The length of a rectangular playground is m longer than its breadth. If the area of the playground is 195 sq.m, find the length and breadth of the field. 3. In the following figure, AC BD and CE DF. If OA = 1 cm, AB = 9 cm, OC = 8 cm and EF = 4 5 cm, find OE. If the area of two similar triangles are equal, then they are congruent. Prove. 4. If 4 tan = 7, then find (i) sin, (ii) cos. 5. Find the equation of a straight line having angle of inclination 60 and y-intercept. 6. The distance between the points ( 3, 1 ) and ( 0, x ) is 5 units. Find x RR-60 [ Turn over

6 81-E 6 CCE RR 7. In the given figure, AB, BC and AC are tangents to the circle at P, Q and R. If AB = AC, show that Q is the mid-point of BC. 8. The radii of two circular ends of a frustum of a cone shaped dust bin are 15 cm and 8 cm. If its depth is 63 cm, find the volume of the dust bin. 9. Draw a plan for the recordings from Surveyor s field work book given below : [ Scale : 0 m = 1 cm ] To D ( m ) to C To E to B From A 30. Verify Euler s formula for the given network : RR-60

7 CCE RR 7 81-E IV. 31. Prove that n Cr ( n 1) Cr 1 n r where 1 r n. A polygon has 44 diagonals. Find the number of sides of the polygon Calculate the standard deviation of the following data ( by Assumed mean method ). 3 Assumed Mean = 5 C.I f The polynomials P ( x ) = ax 3 3x 13 and g ( x ) = x 3 4x a are divided by ( x 3 ). If the remainder in each case is the same, find the value of a. 4 3 If the quotient obtained on dividing x 10x 35x 50x 9 by ( x + 4 ) is 3 x ax bx 6 then find a and b. Also find the remainder. ( Hint : Apply Synthetic division ) In an equilateral triangle ABC, AD BC. Prove that AB 5 CD AC. 4 In ABC, AD BC and BD : CD = 3 : 1. Prove that AB AC BC RR-60 [ Turn over

8 81-E 8 CCE RR 35. Prove that ( sin + cosec ) + ( cos + sec ) = 7 + tan + cot. Prove that 1 cos 1 cos = cosec + cot Prove that the tangents drawn to a circle from an external point are equal. 3 V. 37. The product of three consecutive terms of a geometric progression is 16 and the sum of their products taken in pairs is 156. Find the terms of the progression. Find three consecutive terms in an Arithmetic progression whose sum is 18 and sum of their squares is Draw a transverse common tangent to two circles of radii 4 cm and cm whose centres are 9 cm apart. Measure the length of the tangent Prove that If two triangles are equiangular, then their corresponding sides are proportional Solve the quadratic equation x x 6 0 graphically. 4 graph RR-60

### CCE RF CCE RR. Œ æ fl : V {}

SL. No. : AA Jlflo Æ ÀÊ-V MSÊ : 40 ] [ Jlflo» flfl } Æ lv MSÊ : 1 CCE RF MOÊfi} MSÊ : 81-E CCE RR Code No. : 81-E Œ æ fl : V {} Total No. of Questions : 40 ] [ Total No. of Printed Pages : 1 Subject :

### CCE RR KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2017

CCE RR O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KRNTK SECONDRY EDUCTION EXMINTION BORD, MLLESWRM, BNGLORE 560 00 G È.G È.G È.. Æ fioê, d È 07 S. S. L. C. EXMINTION, JUNE, 07» D} V fl MODEL

### CLASS 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

### KENDRIYA 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

### 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

### SURA'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 -

### London Examinations IGCSE

Centre No. Candidate No. Paper Reference 4 4 0 0 3 H Surname Signature Paper Reference(s) 4400/3H London Examinations IGCSE Mathematics Paper 3H Higher Tier Thursday 11 November 2010 Morning Time: 2 hours

### 43055/2H. General Certificate of Secondary Education June 2009

Surname Other Names For Examiner s Use Centre Number Candidate Number Candidate Signature General Certificate of Secondary Education June 2009 MATHEMATICS (MODULAR) (SPECIFICATION B) 43055/2H Module 5

### 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 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

### (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

### abc Mathematics Pure Core General Certificate of Education SPECIMEN UNITS AND MARK SCHEMES

abc General Certificate of Education Mathematics Pure Core SPECIMEN UNITS AND MARK SCHEMES ADVANCED SUBSIDIARY MATHEMATICS (56) ADVANCED SUBSIDIARY PURE MATHEMATICS (566) ADVANCED SUBSIDIARY FURTHER MATHEMATICS

### ( Bifurcated Syllabus ) ( According to Syllabus of Class X only) PART - I

Karunamoyee, Salt Lake, Kolkata : 70009 Mathematics (COMPULSORY) (Compulsory) Full marks : NEW 90 - For SYLLABUS Regular Candidates { Time 00 ---3 Hours - For 5 Eternal Minutes Candidates ( First 5 minutes

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 04 (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

### 43005/1H. General Certificate of Secondary Education November 2008

Surname Other Names For Examiner s Use Centre Number Candidate Number Candidate Signature General Certificate of Secondary Education November 2008 MATHEMATICS (MODULAR) (SPECIFICATION B) 43005/1H Module

### AS PURE MATHS REVISION NOTES

AS PURE MATHS REVISION NOTES 1 SURDS A root such as 3 that cannot be written exactly as a fraction is IRRATIONAL An expression that involves irrational roots is in SURD FORM e.g. 2 3 3 + 2 and 3-2 are

### S.S.L.C. - MATHS BOOK BACK ONE MARK STUDY MATERIAL

1 S.S.L.C. - MATHS BOOK BACK ONE MARK STUDY MATERIAL DEAR STUDENTS, I have rearranged MATHS-one mark book questions in the order based on value of the answer so that, you can understand easily Totally

### KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 07 (017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit Total

### 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:

### SUBJECT: ADDITIONAL MATHEMATICS CURRICULUM OUTLINE LEVEL: 3 TOPIC OBJECTIVES ASSIGNMENTS / ASSESSMENT WEB-BASED RESOURCES. Online worksheet.

TERM 1 Simultaneous Online worksheet. Week 1 Equations in two Solve two simultaneous equations where unknowns at least one is a linear equation, by http://www.tutorvista.com/mat substitution. Understand

### PreCalculus. Curriculum (447 topics additional topics)

PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

### MATHEMATICS SYLLABUS SECONDARY 4th YEAR

European Schools Office of the Secretary-General Pedagogical Development Unit Ref.:010-D-591-en- Orig.: EN MATHEMATICS SYLLABUS SECONDARY 4th YEAR 6 period/week course APPROVED BY THE JOINT TEACHING COMMITTEE

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 17, 2011 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of

### General Certificate of Secondary Education November MATHEMATICS (MODULAR) (SPECIFICATION B) 43055/1H Module 5 Higher Tier Paper 1 Non-calculator

Surname Other Names For Examinerʼs Use Centre Number Candidate Number Candidate Signature General Certificate of Secondary Education November 2009 MATHEMATICS (MODULAR) (SPECIFICATION B) 43055/1H Module

### 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

### QUESTION BANK ON. CONIC SECTION (Parabola, Ellipse & Hyperbola)

QUESTION BANK ON CONIC SECTION (Parabola, Ellipse & Hyperbola) Question bank on Parabola, Ellipse & Hyperbola Select the correct alternative : (Only one is correct) Q. Two mutually perpendicular tangents

### Practice Papers Set D Higher Tier A*

Practice Papers Set D Higher Tier A* 1380 / 2381 Instructions Information Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number.

### Cambridge International Examinations Cambridge International General Certificate of Secondary Education

PAPA CAMBRIDGE Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 1 0 4 5 3 8 9 2 1 * ADDITIONAL MATHEMATICS 0606/23 Paper 2 May/June 2014 2 hours

### MODEL 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

### GCSE NEW 3300U50-1 MATHEMATICS UNIT 1: NON-CALCULATOR HIGHER TIER. TUESDAY, 13 JUNE 2017 MORNING 1 hour 45 minutes JUN173300U50101.

Surname Centre Number Candidate Number Other Names 0 GCSE NEW 3300U50-1 S17-3300U50-1 MATHEMATICS UNIT 1: NON-CALCULATOR HIGHER TIER TUESDAY, 13 JUNE 2017 MORNING 1 hour 45 minutes ADDITIONAL MATERIALS

### High School Math Contest

High School Math Contest University of South Carolina February th, 017 Problem 1. If (x y) = 11 and (x + y) = 169, what is xy? (a) 11 (b) 1 (c) 1 (d) (e) 8 Solution: Note that xy = (x + y) (x y) = 169

### Mathematics Module N4 Paper 1 (Non-calculator) Higher Tier pm 2.30 pm [GMN41] 1 hour.

Centre Number 71 Candidate Number General Certificate of Secondary Education 2009 Mathematics Module N4 Paper 1 (Non-calculator) Higher Tier [GMN41] GMN41 MONDAY 18 MAY 1.30 pm 2.30 pm TIME 1 hour. INSTRUCTIONS

### Mathematics. 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

### X- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS. 1. Commutative property i ii. 2. Associative property i ii

X- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS 1. Commutative property i ii 2. Associative property i ii 3. Distributive property i ii 4. De Morgan s laws i ii i ii 5. Cardinality of

### Topic Outline for Algebra 2 & and Trigonometry One Year Program

Topic Outline for Algebra 2 & and Trigonometry One Year Program Algebra 2 & and Trigonometry - N - Semester 1 1. Rational Expressions 17 Days A. Factoring A2.A.7 B. Rationals A2.N.3 A2.A.17 A2.A.16 A2.A.23

### Section I 10 marks (pages 2 5) Attempt Questions 1 10 Allow about 15 minutes for this section

017 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics General Instructions Reading time 5 minutes Working time hours Write using black pen NESA approved calculators may be used A reference sheet is provided

### College Algebra with Trigonometry

College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional

### 1. Peter cuts a square out of a rectangular piece of metal. accurately drawn. x + 2. x + 4. x + 2

1. Peter cuts a square out of a rectangular piece of metal. 2 x + 3 Diagram NOT accurately drawn x + 2 x + 4 x + 2 The length of the rectangle is 2x + 3. The width of the rectangle is x + 4. The length

### Objective Mathematics

Multiple choice questions with ONE correct answer : ( Questions No. 1-5 ) 1. If the equation x n = (x + ) is having exactly three distinct real solutions, then exhaustive set of values of 'n' is given

### MATHEMATICS 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

### Cambridge International Examinations CambridgeInternationalGeneralCertificateofSecondaryEducation

PAPA CAMBRIDGE Cambridge International Examinations CambridgeInternationalGeneralCertificateofSecondaryEducation * 7 0 2 4 7 0 9 2 3 8 * ADDITIONAL MATHEMATICS 0606/22 Paper2 May/June 2014 2 hours CandidatesanswerontheQuestionPaper.

### Mathematics (Modular) 43055/2H (Specification B) Module 5

Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Higher Tier June 0 Mathematics (Modular) 43055/H

### Mathematics Extension 1

0 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics Extension General Instructions Total marks 70 Reading time 5 minutes Section I Pages 6 Working time hours 0 marks Write using black or blue pen Black

### 43005/1H. General Certificate of Secondary Education June 2008

Surname Other Names For Examiner s Use Centre Number Candidate Number Candidate Signature General Certificate of Secondary Education June 2008 MATHEMATICS (MODULAR) (SPECIFICATION B) 43005/1H Module 5

### X- MATHS IMPORTANT FORMULAS SELF EVALUVATION

X- MATHS IMPORTANT FORMULAS SELF EVALUVATION 1. SETS AND FUNCTIONS 1. Commutative property i ii 2. Associative property i ii 3. Distributive property i ii 4. De Morgan s laws i ii i ii 5. Cardinality of

### Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 1 1 9 9 9 9 1 * ADDITIONAL MATHEMATICS 0606/1 Paper May/June 016 hours Candidates answer on the

### 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

### Candidate Number. General Certificate of Secondary Education Higher Tier June 2013

Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Higher Tier June 2013 Pages 2 3 4 5 Mark Mathematics

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Edexcel Certificate Edexcel International GCSE Mathematics A Paper 3H Friday 10 May 2013 Afternoon Time: 2 hours Centre Number Candidate Number Higher Tier Paper

ADDITIONAL MATHEMATICS GCE NORMAL ACADEMIC LEVEL (016) (Syllabus 4044) CONTENTS Page INTRODUCTION AIMS ASSESSMENT OBJECTIVES SCHEME OF ASSESSMENT 3 USE OF CALCULATORS 3 SUBJECT CONTENT 4 MATHEMATICAL FORMULAE

### Class IX Chapter 5 Introduction to Euclid's Geometry Maths

Class IX Chapter 5 Introduction to Euclid's Geometry Maths Exercise 5.1 Question 1: Which of the following statements are true and which are false? Give reasons for your answers. (i) Only one line can

### The Learning Objectives of the Compulsory Part Notes:

17 The Learning Objectives of the Compulsory Part Notes: 1. Learning units are grouped under three strands ( Number and Algebra, Measures, Shape and Space and Data Handling ) and a Further Learning Unit.

### Paper: 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]

### CBSE 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

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B. Tuesday, January 26, :15 a.m. to 12:15 p.m.

MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Tuesday, January 26, 2010 9:15 a.m. to 12:15 p.m., only Print Your Name: Print Your School s Name: Print

### Edexcel GCSE Mathematics (Linear) A* Paper (not for the faint hearted) Higher Tier

Edexcel GCSE Mathematics (Linear) A* Paper (not for the faint hearted) Higher Tier Time: 2 hours Materials required for examination Ruler graduated in centimetres and millimetres, protractor, compasses,

### (A) 2S + 3 (B) 3S + 2 (C) 3S + 6 (D) 2S + 6 (E) 2S + 12

1 The sum of two numbers is S Suppose 3 is added to each number and then each of the resulting numbers is doubled What is the sum of the final two numbers? (A) S + 3 (B) 3S + (C) 3S + 6 (D) S + 6 (E) S

### 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)

### Mathematics 43601H. A* Questions. In the style of General Certificate of Secondary Education Foundation Tier. Past Paper Questions by Topic TOTAL

Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials In the style of General Certificate of Secondary Education Foundation Tier Pages 2 3 4 5 Mark

### Methods in Mathematics

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Methods in Mathematics Unit 1: Methods 1 For Approved Pilot Centres ONLY Higher Tier Monday 11 November 013

### 1 Solution of Final. Dr. Franz Rothe December 25, Figure 1: Dissection proof of the Pythagorean theorem in a special case

Math 3181 Dr. Franz Rothe December 25, 2012 Name: 1 Solution of Final Figure 1: Dissection proof of the Pythagorean theorem in a special case 10 Problem 1. Given is a right triangle ABC with angle α =

### *X100/201* X100/201. MATHEMATICS INTERMEDIATE 2 Units 1, 2 and 3 Paper 1 (Non-calculator) NATIONAL QUALIFICATIONS 2010 FRIDAY, 21 MAY 1.00 PM 1.

X00/0 NATIONAL QUALIFICATIONS 00 FRIDAY, MAY.00 PM.45 PM MATHEMATICS INTERMEDIATE Units, and Paper (Non-calculator) Read carefully You may NOT use a calculator. Full credit will be given only where the

### MATHEMATICS (IX-X) (Code No. 041)

MATHEMATICS (IX-X) (Code No. 041) The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. The present

### MATHEMATICS. 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

### Created by T. Madas. Candidates may use any calculator allowed by the Regulations of the Joint Council for Qualifications.

IYGB Special Paper Q Time: 3 hours 30 minutes Candidates may use any calculator allowed by the Regulations of the Joint Council for Qualifications. Information for Candidates This practice paper follows

### Methods in Mathematics

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Methods in Mathematics Unit 2: Methods 2 For Approved Pilot Centres ONLY Higher Tier Thursday 19 June 2014 Morning

### London Examinations IGCSE

Centre No. Candidate No. Paper Reference 4 4 0 0 4 H Surname Signature Paper Reference(s) 4400/4H London Examinations IGCSE Mathematics Paper 4H Higher Tier Tuesday 16 November 2010 Morning Time: 2 hours

### You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 4HR Centre Number Monday 12 January 2015 Afternoon Time: 2 hours Candidate Number Higher Tier Paper Reference

### SAMPLE 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

### MATHEMATICS (IX-X) (Code No. 041)

MATHEMATICS (IX-X) (Code No. 041) The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. The present

### Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education *41476759* ADDITIONAL MATHEMATICS 0606/ Paper February/March 017 hours Candidates answer on the Question

### Algebra 2 with Trigonometry

Algebra 2 with Trigonometry This course covers the topics shown below; new topics have been highlighted. Students navigate learning paths based on their level of readiness. Institutional users may customize

### MATHEMATICS. Surname. Other Names. Centre Number. Candidate Number. Candidate Signature

Surname Other Names Centre Number Candidate Number Candidate Signature General Certificate of Secondary Education Higher Tier June 2013 MATHEMATICS Unit 3 43603H Friday 14 June 2013 9.00 am to 10.30 am

### 2016 SEC 4 ADDITIONAL MATHEMATICS CW & HW

FEB EXAM 06 SEC 4 ADDITIONAL MATHEMATICS CW & HW Find the values of k for which the line y 6 is a tangent to the curve k 7 y. Find also the coordinates of the point at which this tangent touches the curve.

### Geometry Final Exam 2014 Study Guide. Name Date Block

Geometry Final Exam 014 Study Guide Name Date Block The final exam for Geometry will take place on June 5. The following study guide will help you prepare for the exam. Everything we have covered is fair

### Q.1 If a, b, c are distinct positive real in H.P., then the value of the expression, (A) 1 (B) 2 (C) 3 (D) 4. (A) 2 (B) 5/2 (C) 3 (D) none of these

Q. If a, b, c are distinct positive real in H.P., then the value of the expression, b a b c + is equal to b a b c () (C) (D) 4 Q. In a triangle BC, (b + c) = a bc where is the circumradius of the triangle.

### y mx 25m 25 4 circle. Then the perpendicular distance of tangent from the centre (0, 0) is the radius. Since tangent

Mathematics. The sides AB, BC and CA of ABC have, 4 and 5 interior points respectively on them as shown in the figure. The number of triangles that can be formed using these interior points is () 80 ()

### CAMI Education linked to CAPS: Mathematics

- 1 - The main topics in the Curriculum: NUMBER TOPIC 1 Functions 2 Number patterns, sequences and series 3 Finance, growth and decay 4 Algebra 5 Differential Calculus 6 Probability 7 Euclidian geometry

### SAMPLE 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

### General Certificate of Secondary Education Higher Tier

Centre Number Surname Other Names Candidate Number For Examiner s Use Examiner s Initials Candidate Signature General Certificate of Secondary Education Higher Tier Pages 3 4-5 Mark GCSE Mathematics Unit

### Prep for College Algebra

Prep for College Algebra This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (219 topics + 85 additional topics)

### n The coefficients a i are real numbers, n is a whole number. The domain of any polynomial is R.

Section 4.1: Quadratic Functions Definition: A polynomial function has the form P ( x ) = a x n+ a x n 1+... + a x 2+ a x + a (page 326) n n 1 2 1 0 The coefficients a i are real numbers, n is a whole

### Pre Algebra. Curriculum (634 topics)

Pre Algebra This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

### MATHEMATICS Compulsory Part PAPER 1 (Sample Paper)

Please stick the barcode label here. HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION MATHEMATICS Compulsory Part PAPER 1 (Sample Paper) Question-Answer

### WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ALGEBRA II

UNIT: Review of Basic Algebra Skills as Needed SR1 and any Supplemental Materials UNIT : What skills from Algebra I are used in Algebra II? Review Algebra I Skills as Needed SR1 and any additional resources

### Coach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers

Coach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers CLASSIFICATIONS OF NUMBERS NATURAL NUMBERS = N = {1,2,3,4,...}

### Hanoi Open Mathematical Competition 2017

Hanoi Open Mathematical Competition 2017 Junior Section Saturday, 4 March 2017 08h30-11h30 Important: Answer to all 15 questions. Write your answers on the answer sheets provided. For the multiple choice

### Unit 2: Number, Algebra, Geometry 1 (Non-Calculator)

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Mathematics B Unit 2: Number, Algebra, Geometry 1 (Non-Calculator) Friday 7 November 2014 Morning Time: 1 hour 15 minutes Candidate

### Copyright 2018 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. 2/10

Prep for Calculus This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (281 topics + 125 additional topics) Real

### Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards

Algebra 2 with Trigonometry Correlation of the ALEKS course Algebra 2 with Trigonometry to the Tennessee Algebra II Standards Standard 2 : Number & Operations CLE 3103.2.1: CLE 3103.2.2: CLE 3103.2.3:

### BOARD 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

### Marking 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,

### Key Facts and Methods

Intermediate Maths Key Facts and Methods Use this (as well as trying questions) to revise by: 1. Testing yourself. Asking a friend or family member to test you by reading the questions (on the lefthand

### Core Mathematics C12

Write your name here Surname Other names Core Mathematics C12 SWANASH A Practice Paper Time: 2 hours 30 minutes Paper - E Year: 2017-2018 The formulae that you may need to answer some questions are found

### You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Mathematics A Paper 1 (Non-Calculator) Thursday 25 May 2017 Morning Time: 1 hour 45 minutes Candidate Number Higher Tier Paper

### 0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below?

0110ge 1 In the diagram below of trapezoid RSUT, RS TU, X is the midpoint of RT, and V is the midpoint of SU. 3 Which expression best describes the transformation shown in the diagram below? If RS = 30

### Mathematics (Linear) 43652H. (JAN H01) WMP/Jan13/43652H. General Certificate of Secondary Education Higher Tier January 2013.

Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials General Certificate of Secondary Education Higher Tier January 2013 Pages 3 4 5 Mark Mathematics