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Published on: 04/12/2020
10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Six
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 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
2.
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
3.
If ABC is a triangle and AD bisects A, AB = 4cm, BD = 6cm, DC = 8cm then the value of AC is ____________
\(\frac { 16 }{ 3 } cm\)
\(\frac { 32 }{ 3 } cm\)
\(\frac { 3 }{ 16 } cm\)
\(\frac { 1 }{ 2 } cm\)
4.
5.
44 ≡ 8 (mod12), 113 ≡ 85 (mod 12), thus 44 x 113 ≡______(mod 12):
4
3
2
1
6.
If f(x) = x + 1 then f(f(f(y + 2))) is ___________
y + 5
y + 6
y + 7
y + 9
7.
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
8.
9.
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
10.
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
\(\frac{3}{10}\)
\(\frac{7}{10}\)
\(\frac{3}{9}\)
\(\frac{7}{9}\)
11.
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\(\sqrt { 3 } \)
12.
A tower is 60 m height. Its shadow is x metres shorter when the sun’s altitude is 45° than when it has been 30°, then x is equal to
41.92 m
43.92 m
43 m
45.6 m
13.
If A = 265 and B = 264 + 263 + 262 +...+ 20 Which of the following is true?
B is 264 more than A
A and B are equal
B is larger than A by 1
A is larger than B by 1
14.
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
15.
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
16.
Consider four straight lines
(i) l1 : 3y = 4x + 5
(ii) l2 : 4y = 3x - 1
(iii) l3 : 4y + 3x =7
(iv) l4 : 4x + 3y = 2
Which of the following statement is true?
l1 and l2 are perpendicular
l1 and l4 are parallel
l2 and l4 are perpendicular
l2 and l3 are parallel
17.
How many tangents can be drawn to the circle from an exterior point?
one
two
infinite
zero
18.
19.
A spherical ball of radius r1 units is melted to make 8 new identical balls each of radius r2 units. Then r1:r2 is
2:1
1:2
4:1
1:4
20.
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
21.
Let f and g be two functions given by
f = {(0,1), (2,0), (3,-4), (4,2), (5,7)}
g = {(0,2), (1,0), (2,4), (-4,2), (7,0)} then the range of f o g is
{0,2,3,4,5}
{–4,1,0,2,7}
{1,2,3,4,5}
{0,1,2}
22.
If f: A ⟶ B is a bijective function and if n(B) = 7, then n(A) is equal to
7
49
1
14
23.
Graph of a linear equation is a ____________
straight line
circle
parabola
hyperbola
24.
If the roots of the equation q2x2 + p2x + r2 = 0 are the squares of the roots of the equation qx2 + px + r = 0, then q, p, r are in __________.
A.P
G.P
Both A.P and G.P
none of these
1.
(b)
15 cm
2.
(c)
x = 5
3.
(a)
\(\frac { 16 }{ 3 } cm\)
4.
(a)
5.
(a)
4
6.
(a)
y + 5
7.
(a)
1-q
8.
(b)
9.
(b)
1
10.
(b)
\(\frac{7}{10}\)
11.
(d)
30, 10\(\sqrt { 3 } \)
12.
(b)
43.92 m
13.
(i) To check if h is one – one, we assume that h(b1) = h(b2)
Then we get 2.47b1 + 54.10 = 2.47 b2 + 54.10
2.47b1 = 2.47b2 ⇒ b1 = b2
Thus, h(b1) = h(b2) ⇒ b1 = b2, So, the function h is one – one.
(ii) If the length of the thigh bone b = 50, then the height is
h(50) = (2.47 x 50) + 54.10 = 177.6 cms
(iii) If the height of a person is 147.96 cms, then h(b) =147.96 and so the length of the thigh bone is given by 2.47b + 54.10 = 147.96.
b = \(\frac { 93.86 }{ 2.47 } \)
Therefore, the length of the thigh bone is 38 cms.
14.
(c)
8
15.
(a)
The slope is 0.5 and the y intercept is 2.6
16.
(c)
l2 and l4 are perpendicular
17.
(b)
two
18.
(b)
19.
(a)
2:1
20.
(d)
frustum of a cone and a hemisphere
21.
(d)
{0,1,2}
22.
(a)
7
23.
(a)
straight line
24.
(b)
G.P
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
