10th Standard Syllabus & Materials
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Published on: 04/12/2020
10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - One
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 probability of getting a job for a person is \(\frac{x}{3}\). If the probability of not getting the job is \(\frac{2}{3}\) then the value of x is
2
1
3
1.5
2.
A page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is
\(\frac{3}{10}\)
\(\frac{7}{10}\)
\(\frac{3}{9}\)
\(\frac{7}{9}\)
3.
The electric pole subtends an angle of 30° at a point on the same level as its foot. At a second point ‘b’ metres above the first, the depression of the foot of the pole is 60°. The height of the pole (in metres) is equal to
\(\sqrt { 3 } \) b
\(\frac { b }{ 3 } \)
\(\frac { b }{ 2 } \)
\(\frac { b }{ \sqrt { 3 } } \)
4.
If sin \(\theta \) = cos \(\theta \), then 2 tan2 \(\theta \) + sin2 \(\theta \) -1 is equal to
\(\frac { -3 }{ 2 } \)
\(\frac { 3 }{ 2 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { -2 }{ 3 } \)
5.
In an A.P., the first term is 1 and the common difference is 4. How many terms of the A.P. must be taken for their sum to be equal to 120?
6
7
8
9
6.
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
2025
5220
5025
2520
7.
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
8.
9.
The point of intersection of 3x − y = 4 and x + y = 8 is
(5, 3)
(2, 4)
(3, 5)
(4, 4)
10.
How many tangents can be drawn to the circle from an exterior point?
one
two
infinite
zero
11.
In a \(\triangle\)ABC, AD is the bisector \(\angle\)BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is
6 cm
4 cm
3 cm
8 cm
12.
If in triangles ABC and EDF,\(\cfrac { AB }{ DE } =\cfrac { BC }{ FD } \) then they will be similar, when
\(\angle B=\angle E\)
\(\angle A=\angle D\)
\(\angle B=\angle D\)
\(\angle A=\angle F\)
13.
The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. Height of the frustum is h2 units and radius of the smaller base is r2 units. If h2 : h1 = 1:2 then r2 : r1 is
1:3
1:2
2:1
3:1
14.
The total surface area of a hemi-sphere is how much times the square of its radius.
\(\pi\)
4\(\pi\)
3\(\pi\)
2\(\pi\)
15.
If f(x) = 2x2 and g(x) = \(\frac{1}{3x}\), then f o g is
\(\\ \frac { 3 }{ 2x^{ 2 } } \)
\(\\ \frac { 2 }{ 3x^{ 2 } } \)
\(\\ \frac { 2 }{ 9x^{ 2 } } \)
\(\\ \frac { 1 }{ 6x^{ 2 } } \)
16.
A = {a, b, p}, B = {2, 3}, C = {p, q, r, s} then n[(A U C) x B] is
8
20
12
16
17.
18.
Find the matrix X if 2X + \(\left( \begin{matrix} 1 & 3 \\ 5 & 7 \end{matrix} \right) =\left( \begin{matrix} 5 & 7 \\ 9 & 5 \end{matrix} \right) \)
\(\left(\begin{array}{cc} -2 & -2 \\ 2 & -1 \end{array}\right)\)
\(\left(\begin{array}{cc} 2 & 2 \\ 2 & -1 \end{array}\right)\)
\(\left(\begin{array}{ll} 1 & 2 \\ 2 & 2 \end{array}\right)\)
\(\left(\begin{array}{ll} 2 & 1 \\ 2 & 2 \end{array}\right)\)
19.
The values of a and b if 4x4 - 24x3 + 76x2 + ax + b is a perfect square are
100, 120
10, 12
-120, 100
12, 10
20.
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) 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.
(b)
1
2.
(b)
\(\frac{7}{10}\)
3.
(b)
\(\frac { b }{ 3 } \)
4.
(b)
\(\frac { 3 }{ 2 } \)
5.
(c)
8
6.
(d)
2520
7.
(a)
The slope is 0.5 and the y intercept is 2.6
8.
(c)
9.
(c)
(3, 5)
10.
(b)
two
11.
(b)
4 cm
12.
(c)
\(\angle B=\angle D\)
13.
(b)
1:2
14.
(c)
3\(\pi\)
15.
(c)
\(\\ \frac { 2 }{ 9x^{ 2 } } \)
16.
(c)
12
17.
(c)
18.
(b)
\(\left(\begin{array}{cc} 2 & 2 \\ 2 & -1 \end{array}\right)\)
19.
(c)
-120, 100
20.
(c)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards