10th Standard Syllabus & Materials
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Published on: 04/12/2020
10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - One Free Online Test 1 Mark Questions 2020 - 2021 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.
The blanks of river are parallel. A swimmer starts from a point on one of the banks and swims in a straight line to the bank at 45o and reaches the opposite bank at a point 20 m, from the point opposite to the straight point. The breadth of the river is equal to ____________
12.12m
14.14m
1016.16m
18.18m
2.
The top of two poles of height 18.5m and 7m are connected by a wire. If the wire makes an angle of measures 360o with horizontal, then the length of the wire is ____________
23m
18m
28m
25.5m
3.
If the observations 1, 2, 3, ... 50 have the variance V1 and the observations 51, 52, 53, ... 100 have the variance V2 then \(\frac { { V }_{ 1 } }{ { V }_{ 2 } } \) is ___________
2
1
3
0
4.
If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________
(6, -1)
(-6, 1)
(-2, 1)
(3, 5)
5.
S and T are points on sides PQ and PR respectively of \(\Delta PQR\) If PS = 3cm, AQ = 6 cm, PT = 5 cm, and TR = 10 cm and then QR
4 ST
5 ST
3 ST
3 QR
6.
7.
8.
Let f(x) = x2 - x, then f(x- 1) - (x + 1) is ___________
4x
2-2x
2-4x
4x-2
9.
10.
The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is
3
15
5
225
11.
Variance of first 20 natural numbers is
32.25
44.25
33.25
30
12.
If x = a tan\(\theta \) and y = b sec\(\theta \) then
\(\frac { { y }^{ 2 } }{ { b }^{ 2 } } -\frac { { x }^{ 2 } }{ { a }^{ 2 } } =1\)
\(\frac { x^{ 2 } }{ a^{ 2 } } -\frac { y^{ 2 } }{ b^{ 2 } } =1\)
\(\frac { x^{ 2 } }{ a^{ 2 } } +\frac { y^{ 2 } }{ b^{ 2 } } =1\)
\(\frac { x^{ 2 } }{ a^{ 2 } } -\frac { y^{ 2 } }{ b^{ 2 } } =0\)
13.
If sin \(\theta \) = cos \(\theta \), then 2 tan2 \(\theta \) + sin2 \(\theta \) -1 is equal to
\(\frac { -3 }{ 2 } \)
\(\frac { 3 }{ 2 } \)
\(\frac { 2 }{ 3 } \)
\(\frac { -2 }{ 3 } \)
14.
74k \(\equiv \) ________ (mod 100)
1
2
3
4
15.
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
2025
5220
5025
2520
16.
The slope of the line joining (12, 3), (4, a) is \(\frac 18\). The value of ‘a’ is
1
4
-5
2
17.
The point of intersection of 3x − y = 4 and x + y = 8 is
(5, 3)
(2, 4)
(3, 5)
(4, 4)
18.
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
19.
The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is
\(6\frac { 2 }{ 3 } cm\)
\(\frac { 10\sqrt { 6 } }{ 3 } cm\)
\(66\frac { 2 }{ 3 } cm\)
15 cm
20.
In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4 cm. If its height is 20 cm, the volume of the material in it is
5600\(\pi\) cm3
1120\(\pi\) cm3
56\(\pi\) cm3
3600\(\pi\) cm3
21.
The total surface area of a cylinder whose radius is \(\frac{1}{3}\)of its height is
\(\frac { 9\pi { h }^{ 2 } }{ 8 } \) sq.units
24\(\pi\)h2 sq.units
\(\frac { 8\pi { h }^{ 2 } }{ 9 } \) sq.units
\(\frac { 56\pi { h }^{ 2 } }{ 9 } \) sq.units
22.
If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a, b) is
(2,-2)
(5,1)
(2,3)
(3,-2)
23.
24.
\(\frac { x }{ { x }^{ 2 }-25 } -\frac { 8 }{ { x }^{ 2 }+6x+5 } \) gives
\(\frac { { x }^{ 2 }-7x+40 }{ \left( x-5 \right) \left( x+5 \right) } \)
\(\frac { { x }^{ 2 }+7x+40 }{ \left( x-5 \right) \left( x+5 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
\(\frac { { x }^{ 2 }+10 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
25.
1.
(b)
14.14m
2.
(a)
23m
3.
(b)
1
4.
(a)
(6, -1)
5.
(c)
3 ST
6.
(c)
7.
(b)
8.
(c)
2-4x
9.
(b)
10.
(d)
225
11.
(c)
33.25
12.
(a)
\(\frac { { y }^{ 2 } }{ { b }^{ 2 } } -\frac { { x }^{ 2 } }{ { a }^{ 2 } } =1\)
13.
(b)
\(\frac { 3 }{ 2 } \)
14.
(a)
1
15.
(d)
2520
16.
(d)
2
17.
(c)
(3, 5)
18.
(a)
1.4 cm
19.
(d)
15 cm
20.
(b)
1120\(\pi\) cm3
21.
(c)
\(\frac { 8\pi { h }^{ 2 } }{ 9 } \) sq.units
22.
(d)
(3,-2)
23.
(c)
24.
(c)
\(\frac { { x }^{ 2 }-7x+40 }{ \left( { x }^{ 2 }-25 \right) \left( x+1 \right) } \)
25.
(a)
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
