CBSE Board Math Sample Papers for Class 11
Sample paper
ClassXI
Subject: Maths
Time: 3 Hrs M.M. 100
Section – A (1 mark each)
1. Find the value of 1 + i 4 + i 6+ i 10.
2. Number of relation that can be defined on the set A = {1,2,3} is…………
3. Write the negation of the statement “Sum of 3 and 4 is equal to 9”.
4. Write the contra positive of the statement “If it is hot outside, then you feel thirsty”.
5. Find the component statement of the following compound statement and check whether it is true or false.
“All integers are positive or negative”
6. Write the sample space for the following experiment “A coin is tossed and then a die is rolled only if the coin shows a head”.
7. If P (E) = , P (F) = and P (E and F) =, find P(E or F).
8. Find the image of (1,2,3) in ZX Plane.
9. The radius of circle 2x 2+ 2y2+ 4x – 3y + 2 = 0 is …….
10. Circum – centre of the triangle formed by the lines x =0, y = 0 and the line
Section – B (4 Marks Each)
11. One card is drawn from a well shuffled pack of 52 cards. If each outcome is equally likely, calculate the
probability that the card will be (i) a diamond (ii) not an ace (iii) a black card (d) not a diamond.
Or
A letter is chosen at random from the word ‘ASSASSINATION. Find the probability that the letter is (a) A
vowel (b) a consonant.
12. If U = {x: x N, 1 x 9}, A ={1,2,3,4}, B = {2,4,6,8} find (i) B C (ii) A (B C) (iii) A – (B C) (iv) B’ C’.
13. Find the domain and range of the real valued function ‘f’ defined by f(x) =
14. Let A = {1,2,3,4,5,6}. Define a Relation ‘R’ from A to A by R = {(x,y): y = x + 1}, (i) Write ‘R’ in Roaster form (ii) depict this relation using arrow diagram.
15. Prove that cos 2x cos  cos 3x cos ( = sin 5x sin
16. Using principle of mathematical induction, prove that 2x7 n+ 3x5 n – 5 is divisible by 24,
17. How many words can be formed from the letters of the word ‘DAUGHTER’ so that (i) the vowels come together? (ii) The vowels never come together?
18. A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least one boy and one girl?
19. Find the coefficient of a 4 in the product of (1 + 2a) 4 (2 – a ) 5 using binomial distribution.
20. Find the coordinates of the foci, the vertices, the eccentricity and the length of latus rectum of the curve y2– 16x2= 16.
21.A rod AB of length 15cm rests in between two coordinate axes in such a way that the end point A lies on Xaxis and B lies on Yaxis. A point P(x,y) is taken on the rod in such a way that AP = 6cm. show that the locus of
P is an ellipse.
22. Find the sum of the series up to ‘n’ terms 0.6 + 0.66 + 0.666 + 0.6666 + …..
Or
The sum of first four terms of an AP is 56. The sum of last four terms in 112. If its first term is 11, then find the number of terms.
Section – C (6 Marks Each)
23. In a survey of 60 people, it was found that 25 read news paper ‘H’, 26 read newspaper ‘T’, 26 people read newspaper ‘I’ 9 read both ‘H’ and ‘I’, 11 read both ‘H’ and ‘T’, 8 read ‘T’ and ‘I’, 3 read all three newspapers. Find (i) the number of people who read at least one of the newspapers.
(ii) the number of people who read exactly one newspaper.
24. If tan x =and x lies in third quadrant, find the values of sin, cos and tan
Or
(a) Solve: sin 2x – sin 4x + sin 6x = 0.
25. Solve the following system of linear inequalities graphically:
3x + 4y 150,
26. A line is such that its segment between the lines 5x – y + 4 = 0 and 3x + 4y – 4 =0 is bisected at the point
(1,5). Obtain its equation.
Or
The vertices of a triangle are A(10,4), B(  4, 9) and C(  2 , 1). Find the equations of its altitudes. Also find its orthocentre.
27. (i) Find the derivative of ‘tan x’ using first principle.
(ii) find the .
28. Calculate Mean and Standard Deviation for the following distribution by shortcut Method.
Classes 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100
Frequency 3 7 12 15 8 3 2
29. If S1, S2 and S3 are the sum of first ‘n’ natural numbers, their squares and their cubes respectively, show that 9S2 2 = S3(1 + 8S1).
ClassXI
Subject: Maths
Time: 3 Hrs M.M. 100
Section – A (1 mark each)
1. Find the value of 1 + i 4 + i 6+ i 10.
2. Number of relation that can be defined on the set A = {1,2,3} is…………
3. Write the negation of the statement “Sum of 3 and 4 is equal to 9”.
4. Write the contra positive of the statement “If it is hot outside, then you feel thirsty”.
5. Find the component statement of the following compound statement and check whether it is true or false.
“All integers are positive or negative”
6. Write the sample space for the following experiment “A coin is tossed and then a die is rolled only if the coin shows a head”.
7. If P (E) = , P (F) = and P (E and F) =, find P(E or F).
8. Find the image of (1,2,3) in ZX Plane.
9. The radius of circle 2x 2+ 2y2+ 4x – 3y + 2 = 0 is …….
10. Circum – centre of the triangle formed by the lines x =0, y = 0 and the line
Section – B (4 Marks Each)
11. One card is drawn from a well shuffled pack of 52 cards. If each outcome is equally likely, calculate the
probability that the card will be (i) a diamond (ii) not an ace (iii) a black card (d) not a diamond.
Or
A letter is chosen at random from the word ‘ASSASSINATION. Find the probability that the letter is (a) A
vowel (b) a consonant.
12. If U = {x: x N, 1 x 9}, A ={1,2,3,4}, B = {2,4,6,8} find (i) B C (ii) A (B C) (iii) A – (B C) (iv) B’ C’.
13. Find the domain and range of the real valued function ‘f’ defined by f(x) =
14. Let A = {1,2,3,4,5,6}. Define a Relation ‘R’ from A to A by R = {(x,y): y = x + 1}, (i) Write ‘R’ in Roaster form (ii) depict this relation using arrow diagram.
15. Prove that cos 2x cos  cos 3x cos ( = sin 5x sin
16. Using principle of mathematical induction, prove that 2x7 n+ 3x5 n – 5 is divisible by 24,
17. How many words can be formed from the letters of the word ‘DAUGHTER’ so that (i) the vowels come together? (ii) The vowels never come together?
18. A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least one boy and one girl?
19. Find the coefficient of a 4 in the product of (1 + 2a) 4 (2 – a ) 5 using binomial distribution.
20. Find the coordinates of the foci, the vertices, the eccentricity and the length of latus rectum of the curve y2– 16x2= 16.
21.A rod AB of length 15cm rests in between two coordinate axes in such a way that the end point A lies on Xaxis and B lies on Yaxis. A point P(x,y) is taken on the rod in such a way that AP = 6cm. show that the locus of
P is an ellipse.
22. Find the sum of the series up to ‘n’ terms 0.6 + 0.66 + 0.666 + 0.6666 + …..
Or
The sum of first four terms of an AP is 56. The sum of last four terms in 112. If its first term is 11, then find the number of terms.
Section – C (6 Marks Each)
23. In a survey of 60 people, it was found that 25 read news paper ‘H’, 26 read newspaper ‘T’, 26 people read newspaper ‘I’ 9 read both ‘H’ and ‘I’, 11 read both ‘H’ and ‘T’, 8 read ‘T’ and ‘I’, 3 read all three newspapers. Find (i) the number of people who read at least one of the newspapers.
(ii) the number of people who read exactly one newspaper.
24. If tan x =and x lies in third quadrant, find the values of sin, cos and tan
Or
(a) Solve: sin 2x – sin 4x + sin 6x = 0.
25. Solve the following system of linear inequalities graphically:
3x + 4y 150,
26. A line is such that its segment between the lines 5x – y + 4 = 0 and 3x + 4y – 4 =0 is bisected at the point
(1,5). Obtain its equation.
Or
The vertices of a triangle are A(10,4), B(  4, 9) and C(  2 , 1). Find the equations of its altitudes. Also find its orthocentre.
27. (i) Find the derivative of ‘tan x’ using first principle.
(ii) find the .
28. Calculate Mean and Standard Deviation for the following distribution by shortcut Method.
Classes 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100
Frequency 3 7 12 15 8 3 2
29. If S1, S2 and S3 are the sum of first ‘n’ natural numbers, their squares and their cubes respectively, show that 9S2 2 = S3(1 + 8S1).
CBSE Board Math Sample Papers for Class 11 by Year

CBSE Board Math Sample Papers for Class 11 for year 2011
1

CBSE Board Math Sample Papers for Class 11 for year 2007
1

CBSE Board Math Sample Papers for Class 11 for year 2005
1

CBSE Board Math Sample Papers for Class 11 for year 2008
1

CBSE Board Math Sample Papers for Class 11 for year 2009
1

CBSE Board Math Sample Papers for Class 11 for year 2010
1
Sign Up FREE
Get help on CBSE Board Sample Question Paper for class 11 Now
Related Links
Previous Year Paper
 CBSE Board Class 12 Functional English 2011
 CBSE Board Class 11 Computer Science 2008
 CBSE Board Class 10 Functional English 2005
 CBSE Board Class 12 Functional English 2008
 CBSE Board Class 10 English Elective 2005
 CBSE Board Class 12 Physics 2011
 CBSE Board Class 12th Political Science Previous Year Question Paper 2007
 CBSE Board Class 11 Home Science 2007
 CBSE Board Class 12 Fashion Studies 2011
 CBSE Board Class 12 Business Studies Previous Year Question Paper 2008
Syllabus
 CBSE Board Class 10 Syllabus For English Core
 CBSE Board Class 11 Functional English
 ICSE Board Class 11 Sociology
 Madhya Pradesh Board Class 12 Sanskrit
 Rajasthan Board Class 12 Political Science
 CBSE Board Class 11 Home Science
 Manipur Board Class 10 Nepali
 Haryana Board Class 12 Fine Arts
 Haryana Board Class 12 Accountancy
 Andhra Pradesh Board Class 11 Business Studies