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ENRICHMENT PROGRAMME FOR MATHEMATICS (2016-17)

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Page 1: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

ENRICHMENT PROGRAMME FOR

MATHEMATICS(2016-17)

Page 2: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

CBSE BOARD PAPER (2015 – 16)

1 M 4 M 6M TOTAL

RELATIONS & FUNCTIONS 1N 6

INVERSE TRIGONOMETRIC

FUNCTIONS

1N 4

MATRICES & DETERMINANTS 1NB

1N

1EX

1OS 1EX

OR

1N (MIXED)

13

CONTINUITY & DIFFERENTIABILITY 1NB

1OS

8

APPLICATION OF DERIVATIVES 1EX 1N 10

INTEGRALS 1NB

1EX

1N

12

APPLICATION OF INTEGRALS 1NB 6

DIFFERENTIAL EQUATIONS 1NB

1NB

8

VECTOR ALGEBRA 1N

1EX

1N 6

THREE DIMENSIONAL GEOMETRY 1N 1N 1NB 11

PROBABILITY 1NB 1NB 10

LINEAR PROGRAMMING 1N 6

N (NCERT) - 37 MARKS

NB (NCERT BASED) = 39 MARKS

THEREFORE, TOTAL NCERT = 76 MARKS

EX(EXEMPLAR) + OS (OUTSIDE/LOGICAL BASES ) = 24

Page 3: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

SAMPLE PAPER ( 2015-16 ) CBSE BOARD PAPER (2015 – 16)

1 M 4 M 6 M TOTAL 1 M 4 M 6M TOTAL

RELATIONS &

FUNCTIONS

1 NB 1N 5 1N 6

INVERSE

TRIGONOMETRI

C

FUNCTIONS

1NB 1NB 5 1N 4

MATRICES &

DETERMINANTS

1NB 1N

1NB

1NB

13 1NB

1N

1EX

1OS 1EX

OR

1N

(MIXED)

13

CONTINUITY &

DIFFERENTIABI

LITY

1OS 1NB

1N

9 1NB

1OS

8

APPLICATION

OF

DERIVATIVES

1NB 1MD

1 NB

13 1EX 1N 10

INTEGRALS 1NB

1NB

8 1NB

1EX

1N

12

APPLICATION

OF INTEGRALS

1NB 6 1NB 6

DIFFERENTIAL

EQUATIONS

1N

1N

8 1NB

1NB

8

VECTOR

ALGEBRA

1OS 6 1N

1EX

1N 6

THREE

DIMENSIONAL

GEOMETRY

1N 1N 1NB 11 1N 1N 1NB 11

PROBABILITY 1NB 1N 10 1NB 1NB 10

LINEAR

PROGRAMMING

1N 6 1N 6

Page 4: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 5: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 6: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

5 LATEST CBSE SAMPLE PAPER ( 2016-17 )

SEC A(1 M) SEC B(2M) SEC C(4 M) SEC D(6 M) TOTAL

RELATIONS &

FUNCTIONS

1 N

1NB

1N

CHOICE (OS)

5

INVERSE

TRIGONOMETRIC

FUNCTIONS

1N 5

MATRICES &

DETERMINANTS

1N 1N(THEOREM) 1N 1N

CHOICE (OS)

13

CONTINUITY &

DIFFERENTIABILITY

1OS 1NB

1EX

9

APPLICATION OF

DERIVATIVES

1OS 1N

1OS

13

INTEGRALS 1N 1N 1N 8

APPLICATION OF

INTEGRALS

1NB 6

DIFFERENTIAL

EQUATIONS

1OS 1N 8

VECTOR ALGEBRA 1N 1NB 1NB 6

THREE DIMENSIONAL

GEOMETRY

1NB 1NB 11

PROBABILITY 1N 1N

1NB

10

LINEAR PROGRAMMING 1N 6

Page 8: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

SAMPLE BLUE PRINT – 1

1 M

SEC A

2M

SEC B

4 M

SEC C

6 M

SEC D

TOTAL

RELATIONS & FUNCTIONS 1 4

INVERSE TRIGONOMETRIC

FUNCTIONS1,

1

1 6

MATRICES & DETERMINANTS 1, 1 1 1 13

CONTINUITY &

DIFFERENTIABILITY1 1 6

APPLICATION OF DERIVATIVES 1 1 8

INTEGRALS 1 1,

1,

1

14

APPLICATION OF INTEGRALS 1 6

DIFFERENTIAL EQUATIONS 1 1,

1

10

VECTOR ALGEBRA 1 1 5

THREE DIMENSIONAL

GEOMETRY1, 1 1 12

PROBABILITY 1,1 1 10

LINEAR PROGRAMMING 1 6

Page 9: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

SAMPLE BLUE PRINT – 2

1 M

SEC A

2M

SEC B

4 M

SEC C

6 M

SEC D

TOTAL

RELATIONS & FUNCTIONS 1 1 5

INVERSE TRIGONOMETRIC

FUNCTIONS1 1 5

MATRICES & DETERMINANTS 1 1 1 1 13

CONTINUITY &

DIFFERENTIABILITY1 4

APPLICATION OF DERIVATIVES 1,

1,

1

1 1 16

INTEGRALS 1 1 1 12

APPLICATION OF INTEGRALS 1 6

DIFFERENTIAL EQUATIONS 1 1 6

VECTOR ALGEBRA 1 1 5

THREE DIMENSIONAL

GEOMETRY1 1 1 12

PROBABILITY 1 1, 1 10

LINEAR PROGRAMMING 1 6

Page 10: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

SAMPLE BLUE PRINT – 3

1 M

SEC A

2M

SEC B

4 M

SEC C

6 M

SEC D

TOTAL

RELATIONS & FUNCTIONS 1,

1

1 4

INVERSE TRIGONOMETRIC

FUNCTIONS1 6

MATRICES & DETERMINANTS 1 1 1 1 13

CONTINUITY &

DIFFERENTIABILITY1 1,

1

10

APPLICATION OF DERIVATIVES 1 1 1 12

INTEGRALS 1 1,

1,

1

14

APPLICATION OF INTEGRALS 1 4

DIFFERENTIAL EQUATIONS 1 6

VECTOR ALGEBRA 1 1,

1

1 9

THREE DIMENSIONAL

GEOMETRY1 1 8

PROBABILITY 1 1 10

LINEAR PROGRAMMING 1 6

Page 11: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

TOPICS THAT WILL BE DEFINITELY COVEREDMARKS

RELATIONS & FUNCTIONS

FINDING INVERSE OF FUNCTION 4 OR 6

INVERSE TRIGONOMETRIC

FUNCTIONS

MATRICES &

DETERMINANTS1. PROPERTIES OF DETERMINANT

2. SOLUTION OF EQUATIONS (2 OR 3 VARIABLES)

4 OR 6

CONTINUITY &

DIFFERENTIABILITY

APPLICATION OF

DERIVATIVES1. MAXIMA / MINIMA

2. ANY ONE/TWO QUESTIONS FROM TANGENT&NORMAL OR RATE OF

CHANGE OR INC/DEC OR APPROXIMATION

10 - 12

INTEGRALS 1. BY PARTS

2. PARTIAL FRACTIONS

3. PROPERTIES OD DEFINITE INT

10 -12

APPLICATION OF

INTEGRALS ONE QUESTION

6

DIFFERENTIAL EQUATIONS SOLUTION OF DIFFERENTIAL EQUATION (ANY OF VARIABLE SEPARABLE,

HOMOGENEOUS, LINEAR)

6-8

VECTOR ALGEBRA

THREE DIMENSIONAL

GEOMETRYCOMBINATION OF 2 OR 3 CONCEPTS TAKEN TOGETHER FROM BOTH

LINES AND PLANES

10 - 12

PROBABILITY 1. BAYES’ THEOREM

2. PROBABILITY DISTRIBUTION/BINOMIAL DISTRIBUTION

10

LINEAR PROGRAMMING ONE QUESTION 6

Page 12: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

Detail of the concepts to be mastered

by every child of class XII

SYMBOLS USED

* : Important Questions,

**: Very Important Questions

***: Very-Very Important Questions

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Page 34: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 35: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 36: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 37: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 38: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 39: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 40: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 41: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 42: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 43: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 44: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 45: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
Page 46: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

ERROR ANALYSIS IN PROBABILITY

Page 47: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

Answer Sheet Of The Topper OF CBSE

Examination(MATHEMATICS)

Page 48: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always
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“Hard work is the only key to success. You can’t reach the top without climbing all the

steps of the ladder.”

steps FOR PREPARATION OF MATHEMATICS

Always keep a copy of the latest CBSE syllabus and question paper design with you.

Give extra attention to topics with higher weightage of marks.

Mathematics is not meant to be mugged up. After learning a formula/concept, try to

attempt a good number of questions based on it and it will get memorized.

Make a sheet of important concepts/formulae and paste it near your study table for

continuous revision.

Don’t panic if you commit mistakes during the preparation phase. This will help you

identify your weak areas so that you are not found wanting on the exam day.

Page 72: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

“Hard work is the only key to success. You can’t reach the top without climbing

all the steps of the ladder.”

steps FOR PREPARATION OF MATHEMATICS

work on your fundamentals. Firm groundwork can help score excellent

marks.

Don’t start a new topic at the last minute. Revise the topics which you

have already completed.

Try to solve prev. years CBSE board & sample papers.

FOLLOW THE DICTUM – MORE THE PRACTICE, BETTER THE RESULT.

Page 73: ENRICHMENT PROGRAMME · Hard work is the only key to success. You can’t reach the top without climbing all the steps of the ladder.” steps FOR PREPARATION OF MATHEMATICS Always

Thank you