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Published on: 04/12/2020
10th Standard Mathematics English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021 Part - 8
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 angle of depression of a boat from a \(50\sqrt { 3 } \) m high bridge is 30o. The horizontal distance of the boat from the bridge is ___________
150 m
\(150\sqrt { 3 } \)
60m
\(60\sqrt { 3 } \)
2.
3.
The range of first 10 prime number is ___________
9
20
27
5
4.
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
5.
Find the equation of the line passing the point which is parallel to the y axis (5, 3) is ____________
y = 5
y = 3
x = 5
x = 3
6.
The height of an equilateral triangle of side a is
\(\frac { a }{ 2 } cm\)
\(\sqrt { 3a } \)
\(\frac { \sqrt { 3 } }{ 2 } a\)
\(\frac { \sqrt { 3 } }{ 4 } a\)
7.
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
8.
Graphically an infinite number of solutions represents ___________
three planes with no point in common
three planes intersecting at a single point
three planes intersecting in a line or coinciding with one another
None
9.
The first term of an A.P. whose 8th and 12th terms are 39 and 59 respectively is ____________
5
6
4
3
10.
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
11.
If f(x) = mx + n, when m and n are integers f(-2) = 7, and f(3) = 2 then m and n are equal to ___________
-1, -5
1, -9
-1, 5
1, 9
12.
The volume of a frustum if a cone of height L and ends-radio and r1 and r2 is ___________
\(\frac{1}{3}\)πh1(r12+r22+r1r2)
\(\frac{1}{3}\)πh(r12+r22-r1r2)
πh(r12+r22+r1r2)
πh(r12+r22-r1r2)
13.
14.
15.
If a letter is chosen at random from the English alphabets {a, b,...,z}, then the probability that the letter chosen precedes x
\(\frac{12}{13}\)
\(\frac{1}{13}\)
\(\frac{23}{26}\)
\(\frac{3}{26}\)
16.
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
3
15
5
225
17.
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
18.
If sin \(\theta \) + cos\(\theta \) = a and sec \(\theta \) + cosec \(\theta \) = b, then the value of b(a2 - 1) is equal to
2a
3a
0
2ab
19.
The first term of an arithmetic progression is unity and the common difference is 4. Which of the following will be a term of this A.P.
4551
10091
7881
13531
20.
The point of intersection of 3x − y = 4 and x + y = 8 is
(5, 3)
(2, 4)
(3, 5)
(4, 4)
21.
If in \(\triangle\)ABC, DE || BC, AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
1.4 cm
1.8 cm
1.2 cm
1.05 cm
22.
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
23.
The total surface area of a hemi-sphere is how much times the square of its radius.
\(\pi\)
4\(\pi\)
3\(\pi\)
2\(\pi\)
24.
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
7
49
1
14
25.
Graph of a linear equation is a ____________
straight line
circle
parabola
hyperbola
26.
The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is
x = 1, y = 2, z = 3
x = −1, y = 2, z = 3
x = −1, y = −2, z = 3
x = 1, y = -2, z = 3
1.
(a)
150 m
2.
(a)
3.
(c)
27
4.
(c)
15
5.
(c)
x = 5
6.
(c)
\(\frac { \sqrt { 3 } }{ 2 } a\)
7.
(d)
(ii) and (iv) only
8.
(c)
three planes intersecting in a line or coinciding with one another
9.
(c)
4
10.
(d)
Identify function
11.
(c)
-1, 5
12.
(a)
\(\frac{1}{3}\)πh1(r12+r22+r1r2)
13.
(d)
14.
(b)
15.
(c)
\(\frac{23}{26}\)
16.
(d)
225
17.
(b)
\(\frac { x }{ 2\sqrt { 2 } } \)
18.
(a)
2a
19.
(c)
7881
20.
(c)
(3, 5)
21.
(a)
1.4 cm
22.
(b)
1:2
23.
(c)
3\(\pi\)
24.
(a)
7
25.
(a)
straight line
26.
(a)
x = 1, y = 2, z = 3
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards