10th Standard Syllabus & Materials
10th Standard
Tamilnadu 10th Standard Social Science GEO - India - Population, Transport, Communication and Trade Important Questions And Answers Study Material - QB365 Set C
NEW10th Standard
Tamilnadu 10th Standard Social Science GEO - India - Population, Transport, Communication and Trade Important Questions And Answers Study Material - QB365 Set B
NEW10th Standard
Tamilnadu 10th Standard Social Science GEO - India - Population, Transport, Communication and Trade Important Questions And Answers Study Material - QB365 Set A
NEW10th Standard
Tamilnadu 10th Standard Social Science GEO - India - Resources and Industries Important Questions And Answers Study Material - QB365 Set C
NEW10th Standard
Tamilnadu 10th Standard Social Science GEO - India - Resources and Industries Important Questions And Answers Study Material - QB365 Set B
NEW10th Standard
Tamilnadu 10th Standard Social Science GEO - India - Resources and Industries Important Questions And Answers Study Material - QB365 Set A

Published on: 09/05/2020
10th Standard Maths English Medium Creative Important 1 Marks Questions
Download Tamil Nadu 10th 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.
The top of two poles of height 18.5m and 7m are connected by a wire. If the wire makes an angle of measures 360o with horizontal, then the length of the wire is ____________
23m
18m
28m
25.5m
2.
If sin(α + β) = 1 then cos(α - β) can be reduced to ___________
sin α
cos β
sin 2β
cos 2β
3.
4.
From the figure, the value of cosec θ + cot θ is ___________
\(\frac { a+b }{ c } \)
\(\frac { c }{ a+b } \)
\(\frac { b+c }{ a } \)
\(\frac { b }{ a+c } \)
5.
When three coins are tossed, the probability of getting the same face on all the three coins is ___________
\(\frac { 1 }{ 8 } \)
\(\frac { 1 }{ 4 } \)
\(\frac { 3 }{ 8 } \)
\(\frac { 1 }{ 3 } \)
6.
7.
8.
A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4. The probability that \(\left| x \right| \le 3\) is ___________
\(\frac { 3 }{ 9 } \)
\(\frac { 4 }{ 9 } \)
\(\frac { 1 }{ 9 } \)
\(\frac { 7 }{ 9 } \)
9.
A letter is selected at random from the the word 'PROBABILITY'. The probability that its is nota vowel is _______.
\( \frac { 4 }{ 11 } \)
\(\frac { 7 }{ 11 } \)
\(\frac { 3 }{ 11 } \)
\(\frac { 6 }{ 11 } \)
10.
If a letter is chosen at random from the English alphabets {a, b....,z}, then the probability that the letter chosen precedes x ____________
\(\frac { 12 }{ 13 } \)
\(\frac { 1 }{ 13 } \)
\(\frac { 23 }{ 26 } \)
\(\frac { 3 }{ 26 } \)
11.
A semicircular thin sheet of a metal of diameter 28 cm is bent and an open conical cup. What is the capacity of the cup?
\(\left[ \frac { 1000 }{ 3 } \right] \sqrt { 3 } { cm }^{ 3 }\)
\(300\sqrt { 3 } { cm }^{ 3 }\)
\(\left[ \frac { 700 }{ 3 } \right] \sqrt { 3 } { cm }^{ 2 }\)
\(\left[ \frac { 1078 }{ 3 } \right] \sqrt { 3 } { cm }^{ 3 }\)
12.
When Karuna divided surface area of a sphere by the sphere's volume, he got the answer as \(\frac { 1 }{ 3 } \). What is the radius of the sphere?
24 cm
9cm
54cm
4.5cm
13.
The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then height of the cone is ___________
10 cm
15 cm
18 cm
24 cm
14.
A solid frustum is of height 8 cm. If the radii of its lower and upper ends are 3 cm and 9 cm respectively, then its slant height is ___________
15 cm
12 cm
10 cm
17 cm
15.
Find the equation of the line passing through the point (0, 4) and is parallel to 3x+5y+15 = 0 the line is ___________
3x+5y+15 = 0
3x+5y-20 = 0
2x+7y-20 = 0
4x+3y-15 = 0
16.
A line passing through the point (2, 2) and the axes enclose an area ∝. The intercept on the axes made by the line are given by the roots of ____________
x2-2-∝x+∝ = 0
x2+2∝x+∝ = 0
x2-∝x+2∝ = 0
none of these
17.
Find the slope and the y-intercept of the line \(3y-\sqrt { 3x } +1=0\) is ____________
\(\frac { 1 }{ \sqrt { 3 } } ,\frac { -1 }{ 3 } \)
\(-\frac { 1 }{ \sqrt { 3 } } ,\frac { -1 }{ 3 } \)
\(\sqrt { 3 } ,1\)
\(-\sqrt { 3 } ,3\)
18.
Find the value of P, given that the line \(\frac { y }{ 2 } =x-p\) passes through the point (-4, 4) is ____________
-4
-6
0
8
19.
Find the slope of the line 2y = x + 8 ____________
\(\frac { 1 }{ 2 } \)
1
8
2
20.
The area of triangle formed by the points (a, b+c), (b, c+a) and (c, a+b) is ____________
a+b+c
abc
(a+b+c)2
0
21.
Find the ratio in which the line segment joining the points (-3, 10) and (6,-8) is internally divided by (-1, 6) ____________
7:2
3:4
2:7
5:3
22.
Two concentric circles if radii a and b where a>b are given. The length of the chord of the circle which touches the smaller circle is ____________
\(\sqrt { { a }^{ 2 }-{ b }^{ 2 } } \)
\(\sqrt { { a }^{ 2 }-{ b }^{ 2 } } \)
\(\sqrt { { a }^{ 2 }+{ b }^{ 2 } } \)
\(2\sqrt { { a }^{ 2 }+{ b }^{ 2 } } \)
23.
In the given figure if OC = 9 cm and OB = 15 cm then OB + BD is equal to ____________
23 cm
24 cm
27 cm
30 cm
24.
A line which intersects a circle at two distinct points is called ____________
Point of contact
secant
diameter
tangent
25.
The perimeter of a right triangle is 36 cm. Its hypotenuse is 15 cm, then the area of the triangle is ____________
108 cm2
54 cm2
27 cm2
216 cm2
26.
S and T are points on sides PQ and PR respectively of \(\Delta PQR\) If PS = 3cm, AQ = 6 cm, PT = 5 cm, and TR = 10 cm and then QR
4 ST
5 ST
3 ST
3 QR
27.
I the given figure DE||AC which of the following is true.
\(x=\frac { ay }{ b+a } \)
\(x=\frac { a+b }{ ay } \)
\(x=\frac { ay }{ b-a } \)
\(\frac { x }{ y } =\frac { a }{ b } \)
28.
If triangle PQR is similar to triangle LMN such that 4PQ = LM and QR = 6 cm then MN is equal to ____________
12 cm
24 cm
10 cm
36 cm
29.
If \(A=\left[ \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right] _{ 3\times 2 }\) \(B=\left[ \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{matrix} \right] _{ 2\times 3 }\) then which of the following products can be made from these matrices
(i) A2
(ii) B2
(iii) AB
(iv) BA
(i) only
(ii) and (iii) only
(iii) and (iv) only
all the above
30.
31.
Choose the correct answer
(i) Every scalar matrix is an identity matrix
(ii) Every identity matrix is a scalar matrix
(iii) Every diagonal matrix is an identity matrix
(iv) Every null matrix is a scalar matrix
(i) and (iii) only
(iii) only
(iv) only
(ii) and (iv) only
32.
Axis of symmetry in the term of vertical line separates parabola into ___________
3 equal halves
5 equal halves
2 equal halves
4 equal halves
33.
The square root of 4m2 - 24m + 36 is ___________
4(m-3)
2(m-3)
(2m-3)2
(m-3)
34.
Consider the following statements:
(i) The HCF of x+y and x8-y8 is x+y
(ii) The HCF of x+y and x8+y8 is x+y
(iii) The HCF of x-y nd x8+y8 is x-y
(iv) The HCF of x-y and x8-y8 is x-y
(i) and (ii)
(ii) and (iii)
(i) and (iv)
(ii) and (iv)
35.
Which of the following are linear equation in three variables ___________
2x = z
2sin x + y cos y + z tan z = 2
x + 2y2 + z = 3
x - y - z = 7
36.
In an A.P if the pth term is q and the qth term is p, then its nth term is ____________
p+q-n
p+q+n
p-q+n
p-q-n
37.
If pth, qth and rth terms of an A.P. are a, b, c respectively, then (a(q - r) + b(r - p) + c(p - q) is____________
0
a + b + c
p + q + r
pqr
38.
How many terms are there in the G.P : 5, 20, 80, 320,..., 20480
5
6
7
9
39.
The first term of an A.P. whose 8th and 12th terms are 39 and 59 respectively is ____________
5
6
4
3
40.
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
4
3
2
1
41.
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
2
1
0
3
42.
If 3 is the least prime factor of number 'a' and 7 is least prime factor of number 'b', then the least prime factor of a + b is ____________
a + b
2
5
10
43.
If a and b are the two positive integers when a > b and b is a factor of a then HCF (a, b) is ____________
b
a
ab
\(\frac { a }{ b } \)
44.
If \(f(x)=\frac { x+1 }{ x-2 } ,g(x)=\frac { 1+2x }{ x-1 } \) then fog(x) is ___________
Constant function
Quadratic function
Cubic function
Identify function
45.
If f(x) + f(1 - x) = 2 then \(f\left( \frac { 1 }{ 2 } \right) \) is ___________
5
-1
-9
1
46.
If f(x) = 2 - 3x, then f o f(1 - x) = ?
5x+9
9x-5
5-9x
5x-9
47.
If f(x) = ax - 2, g(x) = 2x - 1 and fog = gof, the value of a is ___________
3
-3
\(\frac { 1 }{ 3 } \)
13
48.
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
37
39
35
36
49.
If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________
-13, 2
2, 13
2, -13
-2,13
50.
Let f(x) = x2 - x, then f(x- 1) - (x + 1) is ___________
4x
2-2x
2-4x
4x-2
51.
52.
IF the probability of the non-happening of a event is q, then the probability of happening of that event is
1-q
q
q/2
∝q
53.
How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius cm?
64
216
512
16
54.
If S1 denotes the total surface area at a sphere of radius ૪ and S2 denotes the total surface area of a cylinder of base radius ૪ and height 2r, then ___________
S1 = S2
S1 > S2
S1 < S2
S1 = 2S2
55.
If A is an assets angle of Δ ABC, right angle at 3, then the value of sin A T cos A is ___________
=1
>1
<1
=2
56.
A pole 6 m high a shadow 2\(\sqrt{3}\) m long on the ground, then the sun's elevation is ___________
60o
45o
30o
90o
57.
58.
59.
60.
1.
(a)
23m
2.
(c)
sin 2β
3.
(d)
4.
(c)
\(\frac { b+c }{ a } \)
5.
(b)
\(\frac { 1 }{ 4 } \)
6.
(a)
7.
(a)
8.
(d)
\(\frac { 7 }{ 9 } \)
9.
(b)
\(\frac { 7 }{ 11 } \)
10.
(c)
\(\frac { 23 }{ 26 } \)
11.
(d)
\(\left[ \frac { 1078 }{ 3 } \right] \sqrt { 3 } { cm }^{ 3 }\)
12.
(b)
9cm
13.
(b)
15 cm
14.
(c)
10 cm
15.
(b)
3x+5y-20 = 0
16.
(c)
x2-∝x+2∝ = 0
17.
(a)
\(\frac { 1 }{ \sqrt { 3 } } ,\frac { -1 }{ 3 } \)
18.
(b)
-6
19.
(a)
\(\frac { 1 }{ 2 } \)
20.
(d)
0
21.
(c)
2:7
22.
(b)
\(\sqrt { { a }^{ 2 }-{ b }^{ 2 } } \)
23.
(c)
27 cm
24.
(b)
secant
25.
(b)
54 cm2
26.
(c)
3 ST
27.
(c)
\(x=\frac { ay }{ b-a } \)
28.
(b)
24 cm
29.
(c)
(iii) and (iv) only
30.
(c)
31.
(d)
(ii) and (iv) only
32.
(c)
2 equal halves
33.
(b)
2(m-3)
34.
(a) Capital employed - Goodwill + current liabilities
35.
(d)
x - y - z = 7
36.
(a)
p+q-n
37.
(a)
0
38.
(c)
7
39.
(c)
4
40.
(a)
4
41.
(b)
1
42.
(b)
2
43.
(a)
b
44.
(d)
Identify function
45.
(d)
1
46.
(c)
5-9x
47.
(a)
3
48.
(c)
35
49.
(d)
-2,13
50.
(c)
2-4x
51.
(b)
52.
(a)
1-q
53.
(a)
64
54.
(a)
S1 = S2
55.
(a)
=1
56.
(a)
60o
57.
(d)
58.
(c)
59.
(c)
60.
(b)
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