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: 31/08/2026
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.
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1.
The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is _______.
75 litres
750 litres
7500 litres
75000 litres
2.
The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is _______.
280 cm2
300 cm2
360 cm2
600 cm2
3.
The lateral surface area of a cube of side 12 cm is _______.
144 cm2
196 cm2
576 cm2
664 cm2
4.
The six faces of the dice are called equally likely if the dice is _______.
Small
Fair
Six-faced
Round
5.
A collection of one or more outcomes of an experiment is called _______.
Event
Outcome
Sample point
None of the above
6.
Which of the following cannot be taken as probability of an event?
0
0.5
1
-1
7.
The perimeter of an equilateral triangle is 30 cm. The area is _______.
\(10\sqrt { 3 } \) cm2
\(12\sqrt { 3 } \) cm2
\(15\sqrt { 3 } \) cm2
\(25\sqrt { 3 } \) cm 2
8.
If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is _______.
3 cm2
6 cm2
9 cm2
12 cm2
9.
Probability lies between _______.
−1 and +1
0 and 1
0 and n
0 and \(\infty \)
10.
A number between 0 and 1 that is used to measure uncertainty is called _______.
Random variable
Trial
Simple event
Probability
11.
The value of tan 1° tan 2° tan 3°...tan 89° is ________.
0
1
2
\(\frac { \sqrt { 3 } }{ 2 } \)
12.
The value of cosec(700 + \(\theta\)) - sec(200 - \(\theta\)) + tan(650 + \(\theta\)) - cot(250 - \(\theta\)) is ________.
0
1
2
3
13.
The value of \(\frac { 1-{ tan }^{ 2 }{ 45 }^{ 0 } }{ 1+{ tan }^{ 2 }{ 45 }^{ 0 } } \) is ________.
2
1
0
\(\frac { 1 }{ 2 } \)
14.
The value of 3 sin 700sec 200 + 2 sin 490sec 510 is ________.
2
3
5
6
15.
If 2 sin 2\(\theta\) = \(\sqrt { 3 } \) , them the value of \(\theta\) is ________.
900
300
450
600
16.
If \(\frac { { a }_{ 1 } }{ { a }_{ 2 } } =\frac { { b }_{ 1 } }{ { b }_{ 2 } } \neq \frac { { c }_{ 1 } }{ { c }_{ 2 } } \) where a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then the given pair of linear equation has _________ solution(s)
no solution
two solutions
infinite
unique
17.
If (2,3) is a solution of linear equation 2x + 3y = k then, the value of k is _______.
12
6
0
13
18.
The ratio in which the x-axis divides the line segment joining the points (6, 4) and (1, −7) is ______.
2:3
3:4
4:7
4:3
19.
The coordinates of the point C dividing the line segment joining the points P(2, 4) and Q(5, 7) internally in the ratio 2:1 is______.
\((\frac{7}{2},\frac{11}{2})\)
(3, 5)
(4, 4)
(4, 6)
20.
The mean of a set of numbers is \(\bar X\). If each number is multiplied by z, the mean is _______.
\(\bar X + z\)
\(\bar X-z\)
z\(\bar X\)
\(\bar X\)
21.
The mean of the square of first 11 natural numbers is _______.
26
46
48
52
22.
The mean of a, b, c, d and e is 28. If the mean of a, c and e is 24, then mean of b and d is _______.
24
36
26
34
23.
A particular observation which occurs maximum number of times in a given data is called its _______.
Frequency
range
mode
Median
24.
Let m be the mid point and b be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is _______.
2m - b
2m+b
m-b
m-2b.
25.
In the given figure, If OP = 17cm PQ = 30, cm and OS is perpendicular to PQ, then RS is ________.
10 cm
6 cm
7 cm
9 cm
26.
In the figure, ABCD is a cyclic quadrilateral in which DC produced to E and CF is drawn parallel to AB such that ㄥADC = 80° and ㄥECF = 20°, then ㄥBAD = ?
100°
20°
120°
110°
27.
In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ㄥQRS = 100°, then ㄥTVS = ______.
80°
100°
70°
90°
28.
If (x + 5) and (x - 3) are the factors of ax2+bx+c, then values of a, b and c are _______.
1, 2, 3
1, 2,15
1, 2, −15
1, −2,15
29.
Which of the following has x -1 as a factor?
2x -1
3x -3
4x -3
3x -4
30.
If p(a)= 0 then (x-a) is a _____ of p(x).
divisor
quotient
remainder
factor
31.
\(\left( 0.000729 \right) ^{ \frac { -3 }{ 4 } }\times \left( 0.09 \right) ^{ \frac { -3 }{ 4 } }\) = ______.
\(\frac { { 10 }^{ 3 } }{ { 3 }^{ 3 } } \)
\(\frac { { 10 }^{ 5 } }{ { 3 }^{ 5 } } \)
\(\frac { { 10 }^{ 2 } }{ { 3 }^{ 2 } } \)
\(\frac { { 10 }^{ 6 } }{ { 3 }^{ 6 } } \)
32.
Which one of the following is not a rational number?
\(\sqrt { \frac { 8 }{ 18 } } \)
\(\frac { 7 }{ 3 } \)
\(\sqrt{0.01}\)
\(\sqrt{13}\)
33.
Which of the following statement is false?
The square root of 25 is 5 or −5
\(\sqrt{25}\) = 5
-\(\sqrt{25}\) = -5
\(\sqrt{25}\) = ±5
34.
For any three sets P, Q and R, P-(Q\(\\ \cap \)R) is ________.
P-(Q\(\cup \)R)
(P\(\\ \cap \)Q)-R
(P-Q)\(\cup \)(P-R)
(P-Q)\(\\ \cap \)(P-R)
35.
If U = {x : x\(\in \)N and x<10}, A = {1, 2, 3, 5, 8} and B = {2, 5, 6, 7, 9}, then n[(A∪B)′] is ________.
1
2
4
8
36.
if \(\frac { 1 }{ 7 } \) = \(0.\overline { 142857 } \) then the value of \(\frac { 5 }{ 7 } \) ________.
\(0.\overline { 142857 } \)
\(0.\overline { 714285 } \)
\(0.\overline { 571428 } \)
0.714285
37.
The distance between the point ( 5, –1 ) and the origin is _______.
\(\sqrt { 24 } \)
\(\sqrt { 37 } \)
\(\sqrt { 26 } \)
\(\sqrt { 17 } \)
38.
If Q1, Q2, Q3, Q4 are the quadrants in a Cartesian plane then \({ Q }_{ 2 }\cap { Q }_{ 3 }\) is ______.
\({ Q }_{ 1 }\cup { Q }_{ 2 }\)
\({ Q }_{ 2 }\cup { Q }_{ 3 }\)
Null set
Negative x-axis
39.
The point whose ordinate is 4 and which lies on the y-axis is ______.
( 4, 0 )
(0, 4)
(1, 4)
(4, 2)
40.
An irrational number between 2 and 2.5 is ________.
\(\sqrt { 11 } \)
\(\sqrt { 5 } \)
\(\sqrt { 2.5 } \)
\(\sqrt { 8 } \)
41.
On plotting the points O(0, 0), A(3, – 4), B(3, 4) and C(0, 4) and joining OA, AB, BC and CO, which of the following figure is obtained?
Square
Rectangle
Trapezium
Rhombus
42.
Which of the following is not true?
Every rational number is a real number
Every integer is a rational number
Every real number is an irrational number
Every natural number is a whole number
43.
The type of the polynomial 4–3x3 is ________.
constant polynomial
linear polynomial
quadratic polynomial
cubic polynomial.
44.
Let A = {∅} and B = P(A), then A∩B is ________.
{ ∅, {∅} }
{∅}
∅
{0}
45.
If A∪B = A∩B, then ________.
A ≠ B
A = B
A ⊂ B
B ⊂ A
46.
If B ⊆ A then n(A∩B) is –––––––––.
n(A – B)
n(B)
n(B – A)
n(A)
47.
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}
48.
If the diagonal of a rhombus are equal, then the rhombus is a ________.
Parallelogram but not a rectangle
Rectangle but not a square
Square
Parallelogram but not a square
49.
In the given figure CE || DB then the value of x0 is ________.

45°
30°
75°
85°
50.
ABCD is a square, diagonals AC and BD meet at O. The number of pairs of congruent triangles with vertex O are ________.

6
8
4
12
1.
(d)
75000 litres
2.
(a)
280 cm2
3.
(c)
576 cm2
4.
(b)
Fair
5.
(a)
Event
6.
(d)
-1
7.
(d)
\(25\sqrt { 3 } \) cm 2
8.
(b)
6 cm2
9.
(b)
0 and 1
10.
(d)
Probability
11.
(b)
1
12.
(a)
0
13.
(c)
0
14.
(c)
5
15.
(b)
300
16.
(a)
no solution
17.
(d)
13
18.
(c)
4:7
19.
(d)
(4, 6)
20.
(c)
z\(\bar X\)
21.
(b)
46
22.
(d)
34
23.
(c)
mode
24.
(a)
2m - b
25.
(d)
9 cm
26.
(c)
120°
27.
(a)
80°
28.
(c)
1, 2, −15
29.
(b)
3x -3
30.
(d)
factor
31.
(d)
\(\frac { { 10 }^{ 6 } }{ { 3 }^{ 6 } } \)
32.
(d)
\(\sqrt{13}\)
33.
(d)
\(\sqrt{25}\) = ±5
34.
(c)
(P-Q)\(\cup \)(P-R)
35.
(a)
1
36.
(b)
\(0.\overline { 714285 } \)
37.
(c)
\(\sqrt { 26 } \)
38.
(c)
Null set
39.
(b)
(0, 4)
40.
(b)
\(\sqrt { 5 } \)
41.
(c)
Trapezium
42.
(c)
Every real number is an irrational number
43.
(d)
cubic polynomial.
44.
(b)
{∅}
45.
(b)
A = B
46.
(b)
n(B)
47.
(b)
7 ∈ {1,2,3,4,5,6,7,8,9,10}
48.
(c)
Square
49.
(d)
85°
50.
(a)
6
9th Standard Syllabus & Materials
9th Standard
TN 9th Tamil உள்ளத்தின் சீர் - திருக்குறள் Important Questions And Answers Study Material - QB365 Set A
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Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards