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Published on: 04/12/2020
10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Five
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.
2.
The four vertices of a quadrilateral are (1, 2), (5, -6), (7, -4) and (k, -2) taken in order. If the area of quadrilateral is zero then find the value of k.
4
-2
6
3
3.
The ratio of the areas of two similar triangles is equal to ____________
The ratio of their corresponding sides
The cube of the ratio of their corresponding sides
The ratio of their corresponding attitudes
The square of the ratio of their corresponding sides
4.
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)
5.
The difference between the remainders when 6002 and 601 are divided by 6 is ____________
2
1
0
3
6.
If function f : N⟶N, f(x) = 2x then the function is, then the function is ___________
Not one - one and not onto
one-one and onto
Not one -one but not onto
one - one but not onto
7.
which of the following is true?
0 ≤ p(∈) ≤ 1
p(∈) > 1
p(∈) < 0
\(-\frac { 1 }{ 2 } \ge P(\in )\le \frac { 1 }{ 2 } \)
8.
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)
9.
If cos (∝ - β) =, then sin (∝ - β) can be reduced to ___________
cos β
cos 2β
sin ∝
sin 2∝
10.
The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is
\(\frac { q }{ p+q+r } \)
\(\frac { p }{ p+q+r } \)
\(\frac { p+q }{ p+q+r } \)
\(\frac { p+r }{ p+q+r } \)
11.
12.
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
\(\frac { b }{ 3 } \)
\(\frac { b }{ 2 } \)
\(\frac { b }{ \sqrt { 3 } } \)
13.
14.
An A.P. consists of 31 terms. If its 16th term is m, then the sum of all the terms of this A.P. is
16 m
62 m
31 m
\(\frac { 31 }{ 2 } \) m
15.
16.
17.
If A is a point on the Y axis whose ordinate is 8 and B is a point on the X axis whose abscissae is 5 then the equation of the line AB is
8x + 5y = 40
8x - 5y = 40
x = 8
y = 5
18.
In the given figure, PR = 26 cm, QR = 24 cm, \(\angle PAQ\) = 90o, PA = 6 cm and QA = 8 cm. Find \(\angle\)PQR
80o
85o
75o
90o
19.
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?
13 m
14 m
15 m
12.8 m
20.
A frustum of a right circular cone is of height 16 cm with radii of its ends as 8 cm and 20 cm. Then, the volume of the frustum is
3328\(\pi\) cm3
3228\(\pi\) cm3
3240\(\pi\) cm3
3340\(\pi\) cm3
21.
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
22.
If f(x) = 2x2 and g(x) = \(\frac{1}{3x}\), then f o g is
\(\\ \frac { 3 }{ 2x^{ 2 } } \)
\(\\ \frac { 2 }{ 3x^{ 2 } } \)
\(\\ \frac { 2 }{ 9x^{ 2 } } \)
\(\\ \frac { 1 }{ 6x^{ 2 } } \)
23.
Let A = {1, 2, 3, 4} and B = {4, 8, 9, 10}. A function f: A ⟶ B given by f = {(1, 4), (2, 8), (3, 9), (4,10)} is a
Many-one function
Identity function
One-to-one function
Into function
24.
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
25.
The solution of (2x - 1)2 = 9 is equal to
-1
2
-1, 2
None of these
1.
(d)
2.
(a)
4
3.
(d)
The square of the ratio of their corresponding sides
4.
(a) Capital employed - Goodwill + current liabilities
5.
(b)
1
6.
(d)
one - one but not onto
7.
(a)
0 ≤ p(∈) ≤ 1
8.
(a)
\(\frac{1}{3}\)πh1(r12+r22+r1r2)
9.
(a)
cos β
10.
(b)
\(\frac { p }{ p+q+r } \)
11.
(a)
12.
(b)
\(\frac { b }{ 3 } \)
13.
(d)
14.
(i) To check if h is one – one, we assume that h(b1) = h(b2)
Then we get 2.47 b1 + 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.
15.
(a)
16.
(c)
17.
(a)
8x + 5y = 40
18.
(d)
90o
19.
(a)
13 m
20.
(a)
3328\(\pi\) cm3
21.
(c)
4x cm
22.
(c)
\(\\ \frac { 2 }{ 9x^{ 2 } } \)
23.
(c)
One-to-one function
24.
(c)
-120, 100
25.
(c)
-1, 2
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
