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Published on: 04/12/2020
10th Standard Mathematics English Medium Free Online Test Book Back 1 Mark Questions Part - Three
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.
If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is
3.5
3
4.5
2.5
3.
The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all observations is
40000
160900
160000
30000
4.
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
\(\frac { b }{ 3 } \)
\(\frac { b }{ 2 } \)
\(\frac { b }{ \sqrt { 3 } } \)
5.
If sin \(\theta \) = cos \(\theta \), then 2 tan2 \(\theta \) + sin2 \(\theta \) -1 is equal to
\(\frac { -3 }{ 2 } \)
\(\frac { 3 }{ 2 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { -2 }{ 3 } \)
6.
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
7.
Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the possible remainders are
0, 1, 8
1, 4, 8
0, 1, 3
0, 1, 3
8.
When proving that a quadrilateral is a parallelogram by using slopes you must find
The slopes of two sides
The slopes of two pair of opposite sides
The lengths of all sides
Both the lengths and slopes of two sides
9.
If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is
3
6
9
12
10.
11.
In ∆LMN, \(\angle\)L = 60o, \(\angle\)M = 50o. If ∆LMN ~ ∆PQR then the value of \(\angle\)R is
40o
70°
30°
110°
12.
The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is
1:2:3
2:1:3
1:3:2
3:1:2
13.
The total surface area of a hemi-sphere is how much times the square of its radius.
\(\pi\)
4\(\pi\)
3\(\pi\)
2\(\pi\)
14.
If the radius of the base of a right circular cylinder is halved keeping the same height, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is
1:2
1:4
1:6
1:8
15.
16.
Let n(A) = m and n(B) = n then the total number of non-empty relations that can be defined from A to B is
mn
nm
2mn-1
2mn
17.
If n(A x B) = 6 and A = {1,3} then n(B) is
1
2
3
6
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.
20.
Which of the following should be added to make x4 + 64 a perfect square
4x2
16x2
8x2
-8x2
1.
(d)
2.
(a)
3.5
3.
(b)
160900
4.
(b)
\(\frac { b }{ 3 } \)
5.
(b)
\(\frac { 3 }{ 2 } \)
6.
(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.
7.
(a)
0, 1, 8
8.
(b)
The slopes of two pair of opposite sides
9.
(c)
9
10.
(b)
11.
(b)
70°
12.
(d)
3:1:2
13.
(c)
3\(\pi\)
14.
(b)
1:4
15.
(d)
16.
(c)
2mn-1
17.
(c)
3
18.
(b)
\(\left(\begin{array}{cc} 2 & 2 \\ 2 & -1 \end{array}\right)\)
19.
(d)
20.
(b)
16x2
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
