CBSE 10 Maths Question Paper-2020 Set-3 by Pavan | Practice Test to Test Your Knowledge
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CBSE 10 Maths Question Paper-2020 Set-3

CBSE 10 Maths Question Paper-2020 Set-3

This mock test includes actual CBSE Class 10 Maths board exam questions from the year 2020 Set 3, helping students understand exam trends and practice real paper formats.

2025-07-28
CBSE 2020 Class 10 Mathematics Grade 10

Duration

30 min

Questions

30

Marking

Negative

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Questions Preview

For the following frequency distribution: Class: 0–5, 5–10, 10–15, 15–20, 20–25, Frequency: 8, 10, 19, 25, 8. The upper limit of the median class is

A
15
B
10
C
20
D
25

The probability of an impossible event is

A
1
B
1/2
C
not defined
D
0

The discriminant of the quadratic equation 4x² – 6x + 3 = 0 is

A
12
B
84
C
23
D
-12

If (3, –6) is the mid-point of the line segment joining (0, 0) and (x, y), then the point (x, y) is

A
(-3, 6)
B
(6, -6)
C
(6, -12)
D
(2/3, -3)

The total surface area of a frustum-shaped glass tumbler is (r1 > r2)

A
π r1 l + π r2 l
B
π l (r1 + r2) + π r²
C
3/1 πh (2r1 + 2r2 + r1r2)
D
2/21 πr–r(h + r)

The distance between the points (3, -2) and (-3, 2) is

A
52 units
B
4 10 units
C
2 10 units
D
40 units

If tan(A + B) = 3 and tan(A - B) = 3/1, 0 < A + B ≤ 90°, A > B, find the values of A and B.

A
A = 60°, B = 30°
B
A = 45°, B = 30°
C
A = 30°, B = 45°
D
A = 90°, B = 0°

The value of cosA if 2 is a zero of the polynomial ax² – 2x is

A
1
B
2
C
0
D
-1

The prime factorization of 180 is

A
10 × 2 × 32
B
25 × 4 × 3
C
22 × 32 × 5
D
4 × 9 × 5

The probability of an impossible event is

A
1
B
1/2
C
not defined
D
0

If the radii of two spheres are in the ratio 2:3, then the ratio of their respective volumes is

A
8:27
B
2:3
C
4:9
D
1:1

If the discriminant of a quadratic equation is positive, the roots are

A
Real and distinct
B
Real and equal
C
Imaginary
D
Complex

The equation 3x² + 14x – 5 = 0 has roots

A
Real and distinct
B
Real and equal
C
Imaginary
D
Complex

For the equation 4x² + 12x + 9 = 0, the roots are

A
Real and equal
B
Real and distinct
C
Imaginary
D
Complex

The probability of selecting a vowel from the English alphabet is

A
5/26
B
1/5
C
3/5
D
1/26

The mean for the distribution: Classes: 5–15, 15–25, 25–35, 35–45; Frequencies: 2, 4, 3, 1

A
15
B
10
C
20
D
25

If tan (A + B) = 3 and tan (A - B) = 1/3, 0 < A + B ≤ 90°, A > B, find the values of A and B.

A
A = 60°, B = 30°
B
A = 45°, B = 30°
C
A = 30°, B = 45°
D
A = 90°, B = 0°

In the given figure, the angle of elevation of the top of a tower AC from a point B on the ground is 60°. If the height of the tower is 20m, find the distance of the point from the foot of the tower.

A
10√3 m
B
10 m
C
20 m
D
20√3 m

The value of cosA if cosA = sin42° is

A
42°
B
48°
C
60°
D
30°

Find the value of x if the terms -6, x, 8 are in Arithmetic Progression (A.P.)

A
0
B
2
C
-2
D
4

The 11th term of the A.P. –27, –22, –17, –12, ... is

A
0
B
10
C
-12
D
5

In the given circle, the number of tangents parallel to tangent PQ is

A
0
B
1
C
2
D
many

The probability of selecting a vowel from the English alphabet is

A
5/26
B
1/5
C
1/26
D
3/26

Find the mode of the following distribution: Expenditure (in ₹): 200–400, 400–600, 600–800, 800–1000, 1000–1200; Number of employees: 21, 25, 19, 23, 12.

A
400–600
B
600–800
C
200–400
D
800–1000

If 6n can end with the digit ‘0’ for any natural number n, the solution is

A
Yes
B
No
C
Depends on n
D
None of the above

Solve for x in the quadratic equation: 3x² + 14x - 5 = 0

A
x = 2, -5
B
x = -2, 5
C
x = -1, 5
D
x = 1, -5

Find the discriminant of the quadratic equation 4x² – 6x + 3 = 0

A
12
B
84
C
23
D
0

The ratio of the areas of two squares is 16:25. The ratio of their sides is

A
4:5
B
16:25
C
1:1
D
2:3

The mean of the following distribution is 12. Find the mode: Classes: 5–15, 15–25, 25–35, 35–45; Frequencies: 3, 8, 5, 4.

A
20
B
25
C
15
D
10

Find the 10th term of the arithmetic progression 3, 8, 13, 18, ...

A
48
B
40
C
30
D
20