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: 09/12/2019
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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 =\(\left\{ \cfrac { 1 }{ 2 } ,1\cfrac { 5 }{ 4 } ,\cfrac { 7 }{ 4 } ,3 \right\} \) ,B =\(\left\{ 1\cfrac { 5 }{ 4 } ,\cfrac { 7 }{ 4 } ,3\cfrac { 7 }{ 2 } \right\} \) Now and C =\(\left\{ \cfrac { 1 }{ 2 } ,\cfrac { 5 }{ 4 } ,2,3\cfrac { 7 }{ 2 } \right\} \), then verify \(A\cap \left( B\cap C \right) \)= \(\left( A\cap B \right) \cap C\)
2.
If A = {1, 3, 5, 7, 9},B = {x: x is a composite number and x<12} and C={ x:x\(\in \) N and 6<<10} the verify \(A\cup \left( B\cap C \right) =\left( A\cup B \right) \cap \left( A\cup C \right) \)
3.
Fill in the blanks with appropriate cardinal numbers
| S.No | n(A) | n(B) | n(AUB) | n(A∩B) | n(A-B) | n(B-A) |
|---|---|---|---|---|---|---|
| 1 | 30 | 45 | 65 | |||
| 2 | 20 | 55 | 10 | |||
| 3 | 50 | 65 | 25 | |||
| 4 | 30 | 43 | 70 |
4.
Discuss with your friends and give examples of subsets of sets from your daily life situation.
5.
For any three sets, P,Q,R\(\left( P\cap Q \right) ^{ ' }\)
\({ P }^{ ' }\cup { Q }^{ ' }\)
\(P\cup Q\)
\({ P }^{ ' }\)
\({ Q }^{ ' }\)
6.
If A,B,C are non-overlapping sets, then n \(\left( A\cap B\cap C \right) \) is ___________
n(A) + n(B) + n(C)
\(n\left( A\cup B\cup C \right) \)
0
\(n\left( A\cap B \right) \)
7.
The shaded region in the venn diagram is ___________
\(A\cup B\)
\(A\cap B\)
\(\left( A\cap B \right) ^{ ' }\)
\(\left( A-B \right) \cup \left( B-A \right) \)
8.
The number of elements of the set {x : x ∈ Z, x2 = I} is ________
0
1
2
3
9.
The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.
A ∩ B
A U B
A - B
A Δ B
10.
State the formula to find \(n\left( A\cup B\cup C \right) \)
11.
State Associative property of sets.
12.
IfA = {1,2,3} B = {3,5,6} C = {3,4,7}. Find
(i) A-(BUC)
(ii) BΔC
(iii) AΔB
13.
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
14.
Write the following in "Roster" form?
(a) A = set of the months having 31 days.
(b) B = {x : x is a natural number of 2 digits divisible by 13}
(c) C = {set of vowels in the word "father"}
(d) D = {x : 5 < x < 10 ; x ∈ N}
(e) E = {x: x is a square natural number less than 16}
15.
If A = {2,5,6,7} and B = {3,5,7,8}, then verify the commulative property of intersection of sets
16.
If A = {2,5,6,7} and B = {3,5,7,8}, then verify the commutative property of union sets
17.
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.
18.
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)
19.
Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find
(i) AΔB and
(ii) BΔA
1.
Now \(B\cap C\) =\(\left\{ 1,\cfrac { 5 }{ \underline { 4 } } ,\cfrac { 7 }{ 4 } ,\underline { 3 } ,\cfrac { 7 }{ \underline { 2 } } \right\} \cap \)= \(\left\{ \cfrac { 1 }{ 2 } ,\cfrac { 5 }{ \underline { 4 } } ,2,\underline { 3, } \cfrac { 7 }{ \underline { 2 } } \right\} \)=\(\left\{ 3,\cfrac { 7 }{ 2 } ,\cfrac { 5 }{ 4 } \right\} \)
\(A\cap \left( B\cap C \right) \)=\(\left\{ \cfrac { 1 }{ 2 } ,1,\cfrac { 5 }{ 4 } ,\cfrac { 7 }{ 4 } ,\underline { 3 } \right\} \cap \left( \underline { 3 } ,\cfrac { 7 }{ 2 } ,\cfrac { 5 }{ 4 } \right) \)=\(\left\{ \cfrac { 5 }{ 3 } ,3 \right\} \)
Then \(A\cap B\)=\(\left\{ \cfrac { 1 }{ 2 } ,\underline { 1 } ,\cfrac { 5 }{ 4 } ,\cfrac { 7 }{ 4 } ,\underline { 3 } \right\} \cap \left[ \underline { 1 } ,\cfrac { 5 }{ \underline { 4 } } ,\cfrac { 7 }{ \underline { 4 } } ,\underline { 3 } ,\cfrac { 7 }{ 2 } \right] \)=\(\left\{ 1,\cfrac { 5 }{ 4 } ,\cfrac { 7 }{ 4 } ,3 \right\} \)
\(A\cap B\cap C\)=\(\left\{ 1,\cfrac { 5 }{ \underline { 4 } } ,\cfrac { 7 }{ 3 } ,\underline { 3 } \right\} \cap \left\{ \cfrac { 1 }{ 2 } ,\cfrac { 5 }{ 4 } ,2,\underline { 3 } ,\cfrac { 7 }{ 2 } \right\} \) =\(\left\{ \cfrac { 5 }{ 4 } ,3 \right\} \)
From(1) and (2) it is property of sets
\(A\cap \left( B\cap C \right) \)=\(\left( A\cap B \right) \cap C\)
2.
Given, A = {1, 3, 5, 7, 9} and B = {4, 6, 8, 9, 10} and C = {6, 7, 8, 9}
\(B\cap C\) = {4, \(\underline { 6 } \), \(\underline { 8 } \), \(\underline { 9 } \), 10} \(\cap \){\(\underline { 6 } \), 7, \(\underline { 8 } \), \(\underline { 9 } \)} = {6, 8, 9}
\(A\cup \left( B\cap C \right) \)={1, 3, 5, 6, 7, 8, 9}
Then \(\left( A\cup B \right) \) = {1, 3, 5, 7, 9}\(\cup \){4, 6, 8, 9,10} = {1, 3, 4, 5, 6, 7, 8, 9, 10}
\(\left( A\cup C \right) \) = {1, 3, 5, 7, 9}\(\cup \){6, 7, 8, 9} = {1, 3, 5, 6, 7, 8, 9}
\(\left( A\cup C \right) \cap \left( A\cup C \right) \)={\(\underline { 1 } \), \(\underline { 3 } \), \(4\), \(\underline { 5 } \), \(\underline { 6 } \), \(\underline { 7 } \), \(\underline { 8} \), \(\underline { 9 } \), 10} \(\cap \) {\(\underline { 1 } \), \(\underline { 3 } \), \(\underline { 5 } \), \(\underline { 6 } \), \(\underline { 7 } \), \(\underline { 8 } \), \(\underline { 9 } \)}
= {1, 3, 5, 6, 7, 8, 9}
From (1) and (2),it is verified that
\(A\cup \left( B\cup C \right) \) = \(\left( A\cup B \right) \cap \left( A\cup C \right) \)
3.
| S.No | n(A) | n(B) | n(AUB) | n(A∩B) | n(A-B) | n(B-A) |
|---|---|---|---|---|---|---|
| 1 | 30 | 45 | 65 | 10 | 20 | 35 |
| 2 | 20 | 45 | 55 | 10 | 10 | 35 |
| 3 | 50 | 65 | 90 | 25 | 25 | 40 |
| 4 | 30 | 43 | 70 | 3 | 27 | 40 |
4.
(i) A = The set of shapes which have four sides. ,
B = {square, rectangle, rhombus}
B ⊆ A ( B is the subset of A)
(ii) A - Set of natural numbers; B = {set of all even numbers}
B ⊆ A
(iii) M = A set offamily members; N = {Daughter, Son}.
N ⊆ M
5.
(a)
\({ P }^{ ' }\cup { Q }^{ ' }\)
6.
(c)
0
7.
(d)
\(\left( A-B \right) \cup \left( B-A \right) \)
8.
(c)
2
9.
(d)
A Δ B
10.
\(n\left( A\cup B\cup C \right) \)= n(A) + n(B) + n(C) - \(n\left( A\cap B \right) -\left( B\cap C \right) -n\left( A\cap C \right) +\left( A\cap B\cap B \right) \)
11.
For any three sets A, B and C
(i) \(A\cap \left( B\cap C \right) =\left( A\cap B \right) \cap C\)
(ii) \(A\cup \left( B\cup C \right) =\left( A\cup B \right) \cup C\)
12.
(i) {1 ,2}
(ii) {4,5,6,7}
(iii) {1,2,5,6}
13.
22
14.
(a) A = {Jan, March, May, July, Aug, Oct, Dec}
(b) B = {13,26,39,52,65,78,91}
(c) C = {a,e}
(d) D = {6,7,8,9,10}
(e) E = {1,4,9}
15.
\(A\cap B\) = {5,7}
\(B\cap A\)= {5,7}
From (3) and (4) we get, \(A\cap B=B\cap C\)
It is verifield that insersection of sets is commutative.
16.
Given, A = {2,5,6,7} and B = {3,5,7,8}
\(A\cup B\) = {2,3,5,6,7,8} ...........(1)
\(B\cup A\) = {2,3,5,6,7,8} ..............(2)
17.
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
18.
(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) = { }.
19.
(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}
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
