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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 - 9
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.
A ladder of length 14m just reaches the top of a wall. If the ladder makes an angle of 60o with the horizontal, then the height of the wall is ____________
\(14\sqrt { 3 } \)
\(28\sqrt { 3 } \)
\(7\sqrt { 3 } \)
\(35\sqrt { 3 } \)
2.
If tan θ + cot θ = 3 then tan2θ + cot2θ is equal to ___________
4
7
6
9
3.
If an event occurs surely, then its probability is _________.
1
0
\(\frac { 1 }{ 2 } \)
\(\frac { 3 }{ 4 } \)
4.
A cylinder having radius 1 m and height 5 m is completely filled with milk. In how many conical flasks can this milk be filled if the radius and height is 50 cm each?
50
500
120
160
5.
The height of a cone is 60 cm. A small cone is cut off at the top by plane parallel to the base and its volume is \(\left[ \frac { 1 }{ 64 } \right] ^{ th }\) the volume of the original cone. Then the height of the smaller cone is ___________
45 cm
30 cm
15 cm
20 cm
6.
The lines y = 5x - 3, y = 2x + 9 intersect at A. The coordinates of A are ___________
(2, 7)
(2, 3)
(4, 17)
(-4, 23)
7.
The area of triangle formed by the points (a, b+c), (b, c+a) and (c, a+b) is ____________
a+b+c
abc
(a+b+c)2
0
8.
If ABC is a triangle and AD bisects A, AB = 4cm, BD = 6cm, DC = 8cm then the value of AC is ____________
\(\frac { 16 }{ 3 } cm\)
\(\frac { 32 }{ 3 } cm\)
\(\frac { 3 }{ 16 } cm\)
\(\frac { 1 }{ 2 } cm\)
9.
10.
The product of the sum and product of roots of equation (a2-b2)x2-(a+b)2x+(a3-b3) = 0 is ___________
\(\frac { { a }^{ 2 }+ab+{ b }^{ 2 } }{ (a-b) } \)
\(\frac { a-b }{ a+b } \)
\(\frac { a-b }{ a+b } \)
\(\frac { a-b }{ { a }^{ 2 }+ab+{ b }^{ 2 } } \)
11.
12.
If 3 is the least prime factor of number 'a' and 7 is least prime factor of number 'b', then the least prime factor of a + b is ____________
a + b
2
5
10
13.
The function t which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined Fahrenheit degree is 95, then the value of C \(t(C)=\frac { 9c }{ 5 } +32\) is ___________
37
39
35
36
14.
15.
16.
If sin A + sin2A = 1, then the value of the expression (cos2A + cos4A) is ___________
1
\(\frac{1}{2}\)
2
3
17.
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
\(\frac{3}{10}\)
\(\frac{7}{10}\)
\(\frac{3}{9}\)
\(\frac{7}{9}\)
18.
If 5x = sec\(\theta \) and \(\frac { 5 }{ x } \) = tan\(\theta \), then x2 - \(\frac { 1 }{ { x }^{ 2 } } \) is equal to
25
\(\frac { 1 }{ 25 } \)
5
1
19.
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
20.
If slope of the line PQ is \(\frac { 1 }{ \sqrt { 3 } } \) then slope of the perpendicular bisector of PQ is
\(\sqrt { 3 } \)
\(-\sqrt { 3 } \)
\(\frac { 1 }{ \sqrt { 3 } } \)
0
21.
The two tangents from an external points P to a circle with centre at O are PA and PB. If \(\angle APB\) = 70o then the value of \(\angle AOB\) is
100°
110°
120°
130°
22.
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
23.
If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is
4\(\pi\)r2 sq.units
6\(\pi\)r2 sq.units
3\(\pi\)r2 sq.units
8\(\pi\)r2 sq.units
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.
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
1.
(c)
\(7\sqrt { 3 } \)
2.
(b)
7
3.
(a)
1
4.
(c)
120
5.
(c)
15 cm
6.
(c)
(4, 17)
7.
(d)
0
8.
(a)
\(\frac { 16 }{ 3 } cm\)
9.
(d)
10.
(a)
\(\frac { { a }^{ 2 }+ab+{ b }^{ 2 } }{ (a-b) } \)
11.
(c)
12.
(b)
2
13.
(c)
35
14.
(b)
15.
(d)
16.
(a)
1
17.
(b)
\(\frac{7}{10}\)
18.
(b)
\(\frac { 1 }{ 25 } \)
19.
(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.
20.
(b)
\(-\sqrt { 3 } \)
21.
(b)
110°
22.
(a)
2:1
23.
(a)
4\(\pi\)r2 sq.units
24.
(a)
7
25.
(c)
-120, 100
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
