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Published on: 04/12/2020
10th Standard Mathematics English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Nine
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 \(\frac { p }{ q } =a\) then \(\frac { { p }^{ 2 }+{ q }^{ 2 } }{ { p }^{ 2 }-{ q }^{ 2 } } \) ___________
\(\frac { { a }^{ 2 }+1 }{ { a }^{ 2 }-1 } \)
\(\frac { 1+{ a }^{ 2 } }{ 1-{ a }^{ 2 } } \)
\(\frac { 1-{ a }^{ 2 } }{ 1-{ +a }^{ 2 } } \)
\(\frac { { a }^{ 2 }-1 }{ { a }^{ 2 }+1 } \)
3.
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)
4.
In an A.P if the pth term is q and the qth term is p, then its nth term is ____________
p+q-n
p+q+n
p-q+n
p-q-n
5.
How many terms are there in the G.P : 5, 20, 80, 320,..., 20480
5
6
7
9
6.
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
7.
If f is constant function of value \(\frac { 1 }{ 10 } \), the value of f(1) + f(2) + ... + f(100) is _________
\(\frac { 1 }{ 100 } \)
100
\(\frac { 1 }{ 10 } \)
10
8.
If the order pairs (a, -1) and (5, b) belongs to {(x, y) | y = 2x + 3}, then a and b are __________
-13, 2
2, 13
2, -13
-2,13
9.
If a letter is chosen at random from the English alphabets {a, b,...,z}, then the probability that the letter chosen precedes x
\(\frac{12}{13}\)
\(\frac{1}{13}\)
\(\frac{23}{26}\)
\(\frac{3}{26}\)
10.
Variance of first 20 natural numbers is
32.25
44.25
33.25
30
11.
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
\(\frac { b }{ 3 } \)
\(\frac { b }{ 2 } \)
\(\frac { b }{ \sqrt { 3 } } \)
12.
tan \(\theta \) cosec2\(\theta \) - tan\(\theta \) is equal to
sec\(\theta \)
\(cot^{ 2 }\theta \)
sin\( \theta \)
\(cot\theta \)
13.
If the sequence t1, t2, t3... are in A.P. then the sequence t6, t12, t18,.... is
a Geometric Progression
an Arithmetic Progression
neither an Arithmetic Progression nor a Geometric Progression
a constant sequence
14.
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
2025
5220
5025
2520
15.
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
16.
If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is
3
6
9
12
17.
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°
18.
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
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.
The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be
12 cm
10 cm
13 cm
5 cm
21.
f(x) = (x + 1)3 - (x - 1)3 represents a function which is
linear
cubic
reciprocal
quadratic
22.
23.
24.
The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is
0
1
0 or 1
2
25.
1.
(a)
2.
(a)
\(\frac { { a }^{ 2 }+1 }{ { a }^{ 2 }-1 } \)
3.
(a) Capital employed - Goodwill + current liabilities
4.
(a)
p+q-n
5.
(c)
7
6.
(b)
2
7.
(d)
10
8.
(d)
-2,13
9.
(c)
\(\frac{23}{26}\)
10.
(c)
33.25
11.
(b)
\(\frac { b }{ 3 } \)
12.
(d)
\(cot\theta \)
13.
(b)
an Arithmetic Progression
14.
(d)
2520
15.
(c)
l2 and l4 are perpendicular
16.
(c)
9
17.
(b)
110°
18.
(d)
15 cm
19.
(a)
2:1
20.
(a)
12 cm
21.
(d)
quadratic
22.
(c)
23.
(c)
24.
(b)
1
25.
(a)
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Tamilnadu Stateboard 10th Standard Subjects
Tamilnadu Stateboard Standards
