9th Standard Syllabus & Materials
9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கற்கண்டு (இலக்கணம்) - தொடர் இலக்கணம், ஆகுபெயர் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -விரிவானம் (துணைப்பாடம்) - தாய்மைக்கு வறட்சி இல்லை! Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் -கவிதை பேழை (செய்யுள்) - மார்கழி பெருவிழா Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உயிருக்கு வேர்-இலக்கணம் - பகுபத உறுப்பிலக்கணம் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர் - இலக்கணம்-எழுத்து -அளபெடை Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil அமுதென்று பேர்-துணைப்பாடம் - ஆறாம்திணை Important Questions And Answers Study Material - QB365 Set A
Published on: 19/07/2019
Download Tamil Nadu 9th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Maths Test1.
If A and B are two finite sets such that n(A - B) = 30, n(A UB) = 180, then n(B) is ___________
2.
If n(A) = 50, n(B) = 35, n(A ⋂ B) = 5, then n(A U B) is equal to __________
3.
Sets having atleast one element in common are called ___________
4.
If A ⊆ B, then A - B is __________
5.
A is a proper subset of B, then A U B = ______________
6.
Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Tendulkar _____ A.
7.
Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Ganguly _____ A.
8.
Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Badrinath ______A.
9.
Consider the set A = { Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Ashwin ______ A.
10.
Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Muralivijay ____ A.
11.
In a class there are 50 students who are offered either History, geography or both. 35 were offered History and 10 were offered History and Geography both. How many students were offered Geography?
12.
In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. Find how many students passed in mathematics only
13.
Are P = { x : –3 ≤ x ≤ 0, x ∈ Z} and Q = The set of all prime factors of 210, equivalent sets?
14.
If A = {1,2,3,4,5,7,9,11}, find n(A).
15.
Write the set of letters of the following words in Roster form
PRINCIPAL
16.
The set (A - B) U(B - A) is ___________
AΔB
AUB
A∩B
A'UB'
17.
Sets having the same number of elements are called ___________
overlapping sets
disjoints sets
equivalent sets
equal sets
18.
The set does not have a proper subset is __________
Finite set
Infinite set
Null set
Singleton set
19.
Number of subsets in set A = {1,2,3} is ________
3
6
8
9
20.
A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________
equal set
equivalent sets
overlapping sets
disjoint sets
21.
If A = {x, y, z} then the number of non - empty subsets of A is ________.
8
5
6
7
22.
If B ⊆ A then n(A∩B) is –––––––––.
n(A – B)
n(B)
n(B – A)
n(A)
23.
If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.
{1, 6, 7, 8, 9}
{1, 2, 3, 4}
{2, 3, 4, 5}
{ }
24.
The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.
Singleton set
Power set
Null set
Subset
25.
Which of the following is correct?
{7} ∈ {1,2,3,4,5,6,7,8,9,10}
7 ∈ {1,2,3,4,5,6,7,8,9,10}
7 ∉ {1,2,3,4,5,6,7,8,9,10}
{7} \(\nsubseteq \) {1,2,3,4,5,6,7,8,9,10}
26.
In a class there are 40 students. 26 have opted for Mathematics and 24 have opted for Science. How many student have opted for Mathematics and Science.
27.
From the venn-diagram, list the following:
(i) A
(ii) B
(iii) A ∩ B
(iv) AU B
(v) A-B
(vi) B-A
(vii) (A - B) ∩ (B - A)
28.
Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find
(i) AΔB and
(ii) BΔA
29.
Insert the appropriate symbol ∈ (belongs to) or ∉ (does not belong to) in the blanks.
30.
Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?
31.
In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in atleast one subject. Find the total number of students who appeared in the examination, if they took examination in only two subjects.
1.
( )
150
2.
( )
80
3.
( )
overlapping sets
4.
( )
Ø
5.
( )
B
6.
( )
Tendulkar \(\notin \) A
7.
( )
Ganguly \(\notin \) A.
8.
( )
Badrinath \(\in \) A.
9.
( )
Ashwin \(\in \) A.
10.
( )
Muralivijay \(\in \) A.
11.
Ø
12.
22
13.
P = {–3, –2, –1, 0}, The prime factors of 210 are 2, 3, 5 and 7 and so, Q = {2, 3, 5, 7}
n(P) = 4 and n(Q) = 4. Therefore P and Q are equivalent sets.
14.
A = {1,2,3,4,5,7,9,11}
Since set A contains 8 elements, n(A) = 8.
15.
PRINCIPAL
B = {P, R, I, N, C, A, L}
16.
(a)
AΔB
17.
(c)
equivalent sets
18.
(c)
Null set
19.
(c)
8
20.
(d)
disjoint sets
21.
(d)
7
22.
(b)
n(B)
23.
(c)
{2, 3, 4, 5}
24.
(a)
Singleton set
25.
(b)
7 ∈ {1,2,3,4,5,6,7,8,9,10}
26.
Let M be the set of students opting for Mathematics.
Let S be the set of students opting for Science.
n (M U S) = 40, n (M) = 26, n (S) = 24
n (M U S) = n (M) + n (S) - n (M n S)
40 = 26 + 24 - n (M n S)
n (M n S) = 26 + 24 - 40
= 50 - 40 = 10
∴ Number of students opted for Mathematics and Science = 10
27.
(i) A = {1,2,5,6,7}
(ii) B = {3,4,5,6}
(iii) A ∩ B = {5,6}
(iv) A U B = {1,2,3,4,5,6,7}
(v) A-B = {1,2,7}
(vi) B - A = {3,4}
(vii) (A-B) ∩ (B -A) = { }.
28.
(i) A = {1,3,5,7} ; B = {1,2,4,6,8}
A-B = {1,3,:5,7} - {1,2,4,6,8}
= {3,5,7}
B -A = {1,2,4,6,S} - {1,3,5,7}
= {2,4,6,8}
AΔB = (A - B)U(B-A)
= {3,5,7} U {2,4,6,8}
= {2,3,4,5,6,7,8}.
(ii) BM = (B-A) U (A-B)
= {2,4,6,8} u {3,5,7}
= {2,3,4,516,7,S}
29.
30.
Let A be the set of people owned car A
Let B be the set of people owned car B
n( A) = 400, n(B) = 200, n(A \(\cap\) B) = 50
n(A \(\cup\) B) = 500 .........(1)
n(A) + n(B) - n(A \(\cap\) B) = 400 + 200 - 50
= 600 - 50
= 550 ...........(2)
From (1) and (2) we get
\(n(A\cup B)\ne n(A) +n(B)-n(A\cap B)\)
\(\therefore\) The given data is incorrect.
31.
Let M and S represent the student failed in Mathematics and Science.
Given: Number of students passed in Mathematics is 50%
∴ Number of students failed in Mathematics = 100 - 50% = 50%
n(M) = 50%
Number of students passed in Science is 70%
∴ Number of students failed in Science = 100 - 70% - 30%
n(S) = 30%
Number of students failed in both the subjects is 10%
n(M\(\cap\)S) = 10%
n(M\(\cup\)S) = n(M) + n(S) - n(M\(\cap\)S)
= 50 + 30 - 10
= 80 - 10 = 70
Given: 70% of the students failed in atleast anyone of the subject
∴ 30% of the students passed in atleast anyone of the subjects.
30 students passed mean, the total number of students is 100.
∴ 300 students passed means, the total number of students = \(\frac{100 \times 30}{30}\)= 1000
Total number of students appeared in the examination is = 1000
9th Standard Syllabus & Materials
9th Standard
TN 9th Tamil உள்ளத்தின் சீர் - திருக்குறள் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் - மணிமேகலை Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உள்ளத்தின் சீர் - ஏறு தழுவுதல் Important Questions And Answers Study Material - QB365 Set A
NEW9th Standard
TN 9th Tamil உயிருக்கு வேர் - தண்ணீர் Important Questions And Answers Study Material - QB365 Set A
Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards
