9th Standard Syllabus & Materials
9th Standard
TN 9роЖроорпН ро╡роХрпБрокрпНрокрпБ роХрогро┐родроорпН роЖропродрпНродрпКро▓рпИ ро╡роЯро┐ро╡ро┐ропро▓рпН,роорпБроХрпНроХрпЛрогро╡ро┐ропро▓рпН роорпБроХрпНроХро┐ропрооро╛рой 2,3,&5 роородро┐рокрпНрокрпЖрогрпН ро╡ро┐ройро╛роХрпНроХро│рпН ро╡ро┐роЯрпИроХро│рпБроЯройрпН TN 9th Maths Coordinate Geometry,Trigonometry Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers
NEW9th Standard
TN 9роЖроорпН ро╡роХрпБрокрпНрокрпБ роХрогро┐родроорпН роЕро│ро╡ро┐ропро▓рпН,рокрпБро│рпНро│ро┐ропро┐ропро▓рпН&роиро┐роХро┤рпНродроХро╡рпБ роорпБроХрпНроХро┐ропрооро╛рой 2,3,&5 роородро┐рокрпНрокрпЖрогрпН ро╡ро┐ройро╛роХрпНроХро│рпН ро╡ро┐роЯрпИроХро│рпБроЯройрпН TN 9th Maths Mensuration,Statistics&Probability Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
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NEW9th Standard
TN 9роЖроорпН ро╡роХрпБрокрпНрокрпБ роЪроорпВроХ роЕро▒ро┐ро╡ро┐ропро▓рпН ро╡ро░ро▓ро╛ро▒рпБ - родрпКроЯроХрпНроХроХро╛ро▓родрпН родрооро┐ро┤рпНроЪрпН роЪроорпВроХроорпБроорпН рокрогрпНрокро╛роЯрпБроорпНроорпБроХрпНроХро┐ропрооро╛рой 2,3,&5 роородро┐рокрпНрокрпЖрогрпН ро╡ро┐ройро╛роХрпНроХро│рпН ро╡ро┐роЯрпИроХро│рпБроЯройрпН TN 9th Social Science HIS - Early Tamil Society and Culture Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
TN 9роЖроорпН ро╡роХрпБрокрпНрокрпБ роЪроорпВроХ роЕро▒ро┐ро╡ро┐ропро▓рпН ро╡ро░ро▓ро╛ро▒рпБ - родрпКро┤ро┐ро▒рпНрокрпБро░роЯрпНроЪро┐ роорпБроХрпНроХро┐ропрооро╛рой 2,3,&5 роородро┐рокрпНрокрпЖрогрпН ро╡ро┐ройро╛роХрпНроХро│рпН ро╡ро┐роЯрпИроХро│рпБроЯройрпН TN 9th Social Science HIS - Industrial Revolution Important 1 Mark Questions with Answers 2,3,&5 Marks Questions with Answers.
NEW9th Standard
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Published on: 22/09/2018
Important 2 Mark Test - 1st Term
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.
Subtract 5x2 - 4y2 + 6y - 3 from 7x2 - 4xy + 5y2 + 5x - 3y.
2.
Without actual division classify the decimal expansion of the following numbers as terminating or non-terminating and recurring.
\(13\over 150\)
3.
Express the following in the form \({p\over q},\) where p and q are integers and q \(\ne\) 0.
\(0.2\overline{45}\)
4.
In the given diagram PQRS is a parallelogram.
уДеS = 4x - 60, уДеQ = 30 - x. Find the angles of P and R.
5.
Procedure: Cut off a quadrilateral ABCD in a paper with prescribed dimensions. Mark the mid points P, Q, R and S of the sides AB, BC, CD and DA respectively. By folding the sides appropriately cut off the quadrilateral PQRS. Fold the quadrilateral (i) Does PQ lie on SR? similarly fold the other way and verify QR lies on PS.
Observation
(i) What do you conclude?
(ii) Name the resulting figure?
Draw the following quadrilaterals and join the mid points of all its sides. Find the resultant shape and complete the table.
| Name of the quadrilateral | Shape obtained by joining the midpoints |
| Parallelogram | |
| Rectangle | |
| Square | |
| Kite | |
| Trapezium | |
| Rhombus |
6.
Find the distance between the two given points A (8, 3) and B (- 4, 3)
7.
Plot the points A( -1, 0), B( 3, 0), C(3, 4), and 0(-1, 4) on a graph sheet. Join them to form a rectangle. Draw the mirror image Of the diagram in clockwise direction:
(i) about x-axis.
(ii) about y-axis.
What is your observation on the coordinates of the mirror image?
8.
If U = {a, b, c, d, e, f, g, h}, A = {b, d, f, h} and B = {a, d, e, h}, find the following sets. (B′)′
9.
If U = {a, b, c, d, e, f, g, h}, A = {b, d, f, h} and B = {a, d, e, h}, find the following sets. B′
10.
Using the given Venn diagram, write the elements of A∩B
11.
Write down the power set of the following sets.
E = ∅
12.
Which of the following sets are equivalent or unequal or equal sets?
C = {2,3,4,5}
D = { x : x ∈ W, 1 < x < 5}
13.
Identify the following sets as finite or infinite.
Y = The set of all straight lines passing through a point.
14.
Represent the following sets in set builder form.
E = The set of odd Whole numbers less than 9.
15.
By remainder theorem, find the remainder when, p(x) is divided by g(x) where
p(x) = 27x3-54x2+3x-4 g(x) = 1-\(\frac{3}{2}x\)
16.
By remainder theorem, find the remainder when, p(x) is divided by g(x) where p(x) = x3-2x2- 4x-1 g(x) = x+1
17.
Which of the following are sets?
The Collection of all rivers in India.
18.
In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. Find
(i) The number of students who take part in only music.
(ii) The number of students who take part in only drama.
(iii) The total number of students in the class.
19.
Find the number of zeros of the following polynomials represented by their graphs.
20.
Verify whether the following are zeros of the polynomial indicated against them, or not.
p(x) = (x+3) (x-4), x = -3, x = 4
21.
Identify which ones are trapeziums and which are not.
22.
Identify which ones are parallelograms and which are not.
23.
Draw Venn diagram and shade the region representing the following sets
(A ∪ B)′
24.
Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed?
(–3, 3) (2, 3) (–6, –1) (5, –1)
25.
Write the coefficient of x2 and x in each of the following polynomials \(\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+0.5\)
26.
Which of the following expressions are polynomials. If not give reason: \(\frac { 1 }{ x } (x+5)\)
27.
If A = {6, 7, 8, 9} and B = {8, 10, 12}, find A Δ B.
28.
Find the value of x
29.
Find the complement of the following angles (1°= 60′ minutes, 1′ = 60′′ seconds)
70°
30.
If A = {1,2,3,4,5,7,9,11}, find n(A).
31.
Write the set of letters of the following words in Roster form
ASSESSMENT
1.
2x2 - 4xy + 9y2 + 5x - 9y + 3
2.
\({13\over 150} = {13\over 2\times 3\times 5^2}\)
Since it is not in the form of \({P\over 2^m\times 5^n}\)
\(\therefore {13\over 150}\) has non-terminating and recurring decimal expansion.
3.
Let x = 0.2454545 ....... \(\rightarrow\) (1)
10x = 2.454545 ........... \(\rightarrow\) (2)
1000x = 245.4545 ........ \(\rightarrow\) (3)
| (3) - (2) \(\Rightarrow\) 1000x - 10x | = 245.4545 ......... |
| = 2.4545 ......... | |
| 990x | = 243.00000 |
\(x={243\over 990}\) (or) \({27\over 110}\)
\(\therefore 0.2\overline{45}={27\over 110}\)
4.
уДеP = уДеR= 1680
5.
6.
A (8, 3) and B (- 4, 3)
Distance =\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
AB =\(\sqrt{(-4-8)^2+(3-3)^2}\)
\(\sqrt{(-12)+0}=\sqrt{144}=12 \ units\)
7.
Take a graph sheet and plot all the points and join the points to form a rectangle.
Take a mirror and see the image of the rectangle formed.
8.
B' = {b, c, f, g}
(B')' = U-B'
= { a, b, c, d, e, f, g, h} - {b, c, f, g}
= {a, d, e, h}
9.
B' = U-B
= {a, b, c, d, e, f, g, h} - {a, d, e, h}
= {b, c, f, g}
10.
{4, 7}
11.
P(E)= {{ }}
12.
C and D does not have the same elements. So, Unequal sets
13.
Here the set of all districts in tamilnadu is finite.
So, infinite set (many lines can be drawn from a point)
14.
E = {x : x is an odd whole number less than z < 9}
15.
p(x) = 27\(\times\)3 - 54\(\times\)2 + 3x - 4
g(x) = 1 - \(\frac { 3 }{ 2 } x\)
\(p\left( \frac { 2 }{ 3 } \right) =27\left( \frac { 2 }{ 3 } \right) ^{ 2 }-54\left( \frac { 2 }{ 3 } \right) ^{ 2 }+3\left( \frac { 2 }{ 3 } \right) -4\)
= \(27\times \frac { 8 }{ 27 } -54\times \frac { 4 }{ 9 } +3\times \frac { 2 }{ 3 } -4\)
= 8 - 6 \(\times\) 4 + 2 - 4
= 8 -24 + 2 - 4
= -18
\(\therefore\) The Remainder: –18
16.
p(x) = x3 - 2x2- 4x - 1
g(x) = x + 1
p(-1) = (-1)3 - 2(-1)2 - 4(-1) - 1
= -1- 2 + 4-1
= 4 - 4 = 0
\(\therefore\) The Remainder = 0
17.
Set
18.
Let M be the set of all students take part in music.
Let D be the set of all students take part in drama.
n( M) = 25, n(D) = 30 and n(M\(\cap \)D) = 8
By using venn diagram
From the venn diagram we get.
(i) Number of students take part in only music = 17
(ii) Number of students take part in only drama = 22
(iii) Total number of students in the class = 17 + 8 + 22 = 47
Alter :
(i) The number of students who take part in only music
= n(M) - n(M\(\cap \)D)
= 25 - 8 = 17
(ii) The number of students who take part in only drama
= n(D) - n(M\(\cap \)D)
= 30 - 8 = 22
(iii) The total number of students
n(M∪D) = n(M) + n(D) - n(M\(\cap \)D)
= 25 + 30 - 8 = 47
19.
Number of zeros = 1 (The curve is intersecting at the origin)
20.
p(x) = (x + 3)(x - 4); x = -3, x = 4
p( -3) = (- 3 + 3)(- 3 - 4)
= (0) (-7) = 0
p(4) = (4+3) (4-4)
= (7) (0) = 0
\(\therefore\) -3 and 4 are the zeros of the polynomial.
21.
It is a trapezium
22.
It is not a parallelogram
23.
(A ∪ B)′
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24.
The shape of the geometrical figure Trapezium.
25.
Coefficient of x2 is \(\sqrt 3\) and Coefficient of x is \(\sqrt 2\)
26.
\(\frac { 1 }{ x } (x+5)\) not a polynomial.
Since the exponet of x is not a whole number but it is \(\left( \frac { 1 }{ 2 } ={ x }^{ -1 } \right) \) negative number
27.
A – B = {6, 7, 9}
B – A = {10, 12}
A Δ B = (A – B) ∪ (B – A) = {6, 7, 9} ∪ {10,12}
A Δ B = {6, 7, 9, 10, 12}.
28.
\(\angle AOD+\angle DOC+\angle COB=180^0\) (angle of a straight line)
3x° + 90° + 2x° = 180°
5x° + 90° = 180°
5x° = 180° - 90°
\(x=\frac{90}{5}=18^0\)
The value of x = 18°.
29.
Complement of 70° = 90° - 70°
=20°
30.
A = {1,2,3,4,5,7,9,11}
Since set A contains 8 elements, n(A) = 8.
31.
ASSESSMENT
A= {A, S, E, M, N, T}
9th Standard Syllabus & Materials
9th Standard
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NEW9th Standard
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NEW9th Standard
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NEW9th Standard
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Tamilnadu Stateboard 9th Standard Subjects
Tamilnadu Stateboard Standards
