CBSE 10 Maths Question Paper-2023 Set-1 by Pavan | Practice Test to Test Your Knowledge
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CBSE 10 Maths Question Paper-2023 Set-1

CBSE 10 Maths Question Paper-2023 Set-1

This mock test includes actual CBSE Class 10 Maths board exam questions from the year 2023 Set-1, helping students understand exam trends and practice real paper formats.

2025-07-30
CBSE Class 10 2023 Mathematics Grade 10

Duration

30 min

Questions

25

Marking

Negative

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Questions Preview

The value of k for which the equations 3x − y + 8 = 0 and 6x − ky + 16 = 0 represent coincident lines is:

A
1/2
B
−1/2
C
2
D
−2

A circle of radius 5.2 cm has two tangents AB and CD parallel to each other. What is the distance between the two tangents?

A
5.2 cm
B
10.4 cm
C
20.8 cm
D
Can't find

The number of polynomials having zeroes −3 and 4 is:

A
1
B
2
C
3
D
More than 3

If the perimeter and the area of a circle are numerically equal, then the radius of the circle is:

A
2 units
B
π units
C
4 units
D
2π units

A quadratic equation whose one root is 2 and the sum of whose roots is zero, is:

A
x² + 4 = 0
B
x² − 2 = 0
C
4x² − 1 = 0
D
x² − 4 = 0

Which of the following is not a quadratic equation?

A
2(x − 1)² = 4x² − 2x + 1
B
2x − x² = x² + 5
C
(2x + 3)² + x² = 3x² − 5x
D
(x² + 2x)² = x⁴ + 3 + 4x³

The number of tangents that can be drawn to a circle from a point on it is:

A
One
B
Two
C
Infinite
D
Zero

The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is:

A
30°
B
45°
C
60°
D
90°

The mode of the numbers 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 2, 6, 7 is:

A
2
B
3
C
4
D
5

From a well-shuffled deck of 52 playing cards, a card is drawn at random. What is the probability of getting a red queen?

A
1/52
B
1/26
C
1/13
D
12/13

If the pair of linear equations x − y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then the value of k is:

A
−2
B
−3
C
3
D
4

The number (5 − 3 5 + 5 ) is:

A
An integer
B
A rational number
C
An irrational number
D
A whole number

The length of the tangent from an external point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is:

A
7 cm
B
5 cm
C
7 cm
D
25 cm

What is the length of the arc of a circle of radius 14 cm which subtends an angle of 60° at the centre of the circle?

A
22 cm
B
11 cm
C
44 cm
D
56 cm

Which of the following is not a quadratic equation?

A
x² + 4 = 0
B
x² − 2 = 0
C
4x² − 1 = 0
D
x² − 4 = 0

If ∆ABC ∼ ∆DEF and ∠A = 47°, ∠E = 83°, then ∠C is equal:

A
47°
B
50°
C
83°
D
130°

If the pair of linear equations x + 2y + 5 = 0 and −3x − 6y + 1 = 0 has:

A
a unique solution
B
exactly two solutions
C
infinitely many solutions
D
no solution

The value of 5 sin²90° − 2 cos²0° is:

A
-2
B
5
C
3
D
-3

If p(x) = x² + 5x + 6, then p(−2) is:

A
20
B
0
C
−8
D
8

A quadratic polynomial the sum and product of whose zeroes are −3 and 2 respectively, is:

A
x² + 3x + 2
B
x² − 3x + 2
C
x² − 3x − 2
D
x² + 3x − 2

The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is:

A
30°
B
45°
C
60°
D
90°

How many tangents can be drawn to a circle from a point on it?

A
One
B
Two
C
Infinite
D
Zero

The value of k for which the equations 3x − y + 8 = 0 and 6x − ky + 16 = 0 represent coincident lines is:

A
1/2
B
−1/2
C
2
D
−2

The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is:

A
30°
B
45°
C
60°
D
90°

The perimeter of a semi-circular protractor with a radius of 7 cm is:

A
11 cm
B
14 cm
C
22 cm
D
36 cm