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Published on: 12/06/2021
QB365 provides detailed and simple solution for every book back questions in class 10 Maths subject.It will helps to get more idea about question pattern in every book back questions with solution.
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.
Kamalam went to play a lucky draw contest. 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is \(\frac{1}{9}\), then the number of tickets bought by Kamalam is
5
10
15
20
2.
Variance of first 20 natural numbers is
32.25
44.25
33.25
30
3.
The sum of all deviations of the data from its mean is
Always positive
always negative
zero
non-zero integer
4.
Two persons are standing ‘x’ metres apart from each other and the height of the first person is double that of the other. If from the middle point of the line joining their feet an observer finds the angular elevations of their tops to be complementary, then the height of the shorter person (in metres) is
\(\sqrt { 2 } \) x
\(\frac { x }{ 2\sqrt { 2 } } \)
\(\frac { x }{ \sqrt { 2 } } \)
2x
5.
The angle of depression of the top and bottom of 20 m tall building from the top of a multistoried building are 30° and 60° respectively. The height of the multistoried building and the distance between two buildings (in metres) is
20, 10\(\sqrt { 3 } \)
30, 5\(\sqrt { 3 } \)
20, 10
30, 10\(\sqrt { 3 } \)
6.
a cot \(\theta \) + b cosec\(\theta \) = p and b cot \(\theta \) + a cosec\(\theta \) = q then p2- q2 is equal to
a2 - b2
b2 - a2
a2 + b2
b - a
7.
(1 + tan \(\theta \) + sec\(\theta \)) (1 + cot\(\theta \) - cosec\(\theta \)) is equal to
0
1
2
-1
8.
If sin \(\theta \) = cos \(\theta \), then 2 tan2 \(\theta \) + sin2 \(\theta \) -1 is equal to
\(\frac { -3 }{ 2 } \)
\(\frac { 3 }{ 2 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { -2 }{ 3 } \)
9.
The next term of the sequence \(\frac { 3 }{ 16 } ,\frac { 1 }{ 8 } ,\frac { 1 }{ 12 } ,\frac { 1 }{ 18 } \), ..... is
\(\frac { 1 }{ 24 } \)
\(\frac { 1 }{ 27 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { 1 }{ 81 } \)
10.
The sum of the exponents of the prime factors in the prime factorization of 1729 is
1
2
3
4
11.
(2, 1) is the point of intersection of two lines.
x - y - 3 = 0; 3x - y - 7 = 0
x + y = 3; 3x + y = 7
3x + y = 3; x + y = 7
x + 3y - 3 = 0; x - y - 7 = 0
12.
When proving that a quadrilateral is a parallelogram by using slopes you must find
The slopes of two sides
The slopes of two pair of opposite sides
The lengths of all sides
Both the lengths and slopes of two sides
13.
When proving that a quadrilateral is a trapezium, it is necessary to show
Two sides are parallel
Two parallel and two non-parallel sides
Opposite sides are parallel
All sides are of equal length
14.
A straight line has equation 8y = 4x + 21. Which of the following is true
The slope is 0.5 and the y intercept is 2.6
The slope is 5 and the y intercept is 1.6
The slope is 0.5 and the y intercept is 1.6
The slope is 5 and the y intercept is 2.6
15.
The straight line given by the equation x = 11 is
parallel to X axis
parallel to Y axis
passing through the origin
passing through the point (0,11)
16.
In a given figure ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of \(\triangle\)PQR to the area \(\triangle\)PST is

25 : 4
25 : 7
25 : 11
25 : 13
17.
18.
A shuttle cock used for playing badminton has the shape of the combination of
a cylinder and a sphere
a hemisphere and a cone
a sphere and a cone
frustum of a cone and a hemisphere
19.
A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is
3x cm
x cm
4x cm
2x cm
20.
If the radius of the base of a cone is tripled and the height is doubled then the volume is
made 6 times
made 18 times
made 12 times
unchanged
21.
The total surface area of a cylinder whose radius is \(\frac{1}{3}\)of its height is
\(\frac { 9\pi { h }^{ 2 } }{ 8 } \) sq.units
24\(\pi\)h2 sq.units
\(\frac { 8\pi { h }^{ 2 } }{ 9 } \) sq.units
\(\frac { 56\pi { h }^{ 2 } }{ 9 } \) sq.units
22.
Let f(x) = \(\sqrt { 1+x^{ 2 } } \) then
f(xy) = f(x).f(y)
f(xy) ≥ f(x).f(y)
f(xy) ≤ f(x).f(y)
None of these
23.
24.
25.
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives
\(\frac { { x }^{ 2 }-7x+40 }{ \left( x-5 \right) \left( x+5 \right) } \)
\(\frac { { x }^{ 2 }+7x+40 }{ \left( x-5 \right) \left( x+5 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }+10 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
1.
(c)
15
2.
(c)
33.25
3.
(c)
zero
4.
(b)
\(\frac { x }{ 2\sqrt { 2 } } \)
5.
(d)
30, 10\(\sqrt { 3 } \)
6.
(b)
b2 - a2
7.
(c)
2
8.
(b)
\(\frac { 3 }{ 2 } \)
9.
(b)
\(\frac { 1 }{ 27 } \)
10.
(c)
3
11.
(b)
x + y = 3; 3x + y = 7
12.
(b)
The slopes of two pair of opposite sides
13.
(b)
Two parallel and two non-parallel sides
14.
(a)
The slope is 0.5 and the y intercept is 2.6
15.
(b)
parallel to Y axis
16.
(a)
25 : 4
17.
(a)
18.
(d)
frustum of a cone and a hemisphere
19.
(c)
4x cm
20.
(b)
made 18 times
21.
(c)
\(\frac { 8\pi { h }^{ 2 } }{ 9 } \) sq.units
22.
(c)
f(xy) ≤ f(x).f(y)
23.
(a)
24.
(c)
25.
(c)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
10th Standard Syllabus & Materials
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards