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Maths M.C.Q (1 Marks)

MODEL PAPER 2025 (STANDARD) · CBSE STD 10 (CBSE - English Medium). 18 questions.

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M.C.Q (1 Marks)

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18 questions · timed · auto-graded

MCQ 11 Mark
A card is drawn from a well shuffled deck of playing cards. The probability of getting red face card is
  • A
    $\frac{3}{13}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{3}{52}$
  • ✓
    $\frac{3}{26}$
Answer
Correct option: D.
$\frac{3}{26}$
(D) $\frac{3}{26}$
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MCQ 21 Mark
A point on the $x$-axis divides the line segment joining the points $A(2,-3)$ and $B(5,6)$ in the ratio 1:2. The point is
  • A
    $(4,0)$
  • B
    $\left(\frac{7}{2}, \frac{3}{2}\right)$
  • ✓
    (3, 0)
  • D
    (0,3)
Answer
Correct option: C.
(3, 0)
(C) (3,0)
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MCQ 31 Mark
Which of the following gives the middle most observation of the data?
  • ✓
    Median
  • B
    Mean
  • C
    Range
  • D
    Mode
Answer
Correct option: A.
Median
(A) median
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MCQ 41 Mark
The point on the x- axis nearest to the point (-4,-5) is
  • A
    (0, 0)
  • ✓
    (-4, 0)
  • C
    (-5, 0)
  • D
    $(\sqrt{41}, 0)$
Answer
Correct option: B.
(-4, 0)
(B) $(-4,0)$
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MCQ 51 Mark
In a bag containing 24 balls, 4 are blue, 11 are green and the rest are white. One ball is drawn at random. The probability that drawn ball is white in colour is
  • A
    $\frac{1}{6}$
  • ✓
    $\frac{3}{8}$
  • C
    $\frac{11}{24}$
  • D
    $\frac{5}{8}$
Answer
Correct option: B.
$\frac{3}{8}$
(B) $\frac{3}{8}$
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MCQ 61 Mark
The volume of a solid hemisphere is $\frac{396}{7} cm^3$. The total surface area of the solid hemisphere (in sq.cm) is
  • A
    $\frac{396}{7}$
  • ✓
    $\frac{594}{7}$
  • C
    $\frac{549}{7}$
  • D
    $\frac{604}{7}$
Answer
Correct option: B.
$\frac{594}{7}$
(B) $\frac{594}{7}$
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MCQ 71 Mark
If $\theta=30^{\circ}$ then the value of $3 \tan \theta$ is
  • A
    1
  • B
    $\frac{1}{\sqrt{3}}$
  • ✓
    $\frac{3}{\sqrt{3}}$
  • D
    not defined
Answer
Correct option: C.
$\frac{3}{\sqrt{3}}$
(C) $\frac{3}{\sqrt{3}}$
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MCQ 81 Mark
The roots of the quadratic equation $x^2+ x -1=0$ are
  • ✓
    Irrational and distinct
  • B
    not real
  • C
    rational and distinct
  • D
    real and qual
Answer
Correct option: A.
Irrational and distinct
(A) Irrational and distinct
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MCQ 91 Mark
O is the point of intersection of two chords AB and CD of a circle.
Image

If $\angle B O C=80^{\circ}$ and $O A=O D$ then $\triangle O D A$ and $\triangle O B C$ are
  • A
    equilateral and similar
  • ✓
    isosceles and similar
  • C
    isosceles but not similar
  • D
    not similar
Answer
Correct option: B.
isosceles and similar
(B) isosceles and similar
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MCQ 101 Mark
Consider the frequency distribution of 45 observations.
Class0-1010-2020-3030-4040-50
Frequency5915106
The upper limit of median class is
  • A
    20
  • B
    10
  • ✓
    30
  • D
    40
Answer
Correct option: C.
30
(C) 30
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MCQ 111 Mark
A quadratic polynomial having zeroes $-\sqrt{\frac{5}{2}}$ and $\sqrt{\frac{5}{2}}$ is
  • A
    $x^2-5 \sqrt{2} x+1$
  • ✓
    $8 x^2-20$
  • C
    $15 x^2-6$
  • D
    $x^2-2 \sqrt{5} x-1$
Answer
Correct option: B.
$8 x^2-20$
(B) $8 x^2-20$
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MCQ 121 Mark
In the given figure, a tangent has been drawn at a point P on the circle centred at O.
Image
If $\angle TPQ =110^{\circ}$ then $\angle POQ$ is equal to
  • A
    $110^{\circ}$
  • B
    $70^{\circ}$
  • ✓
    $140^{\circ}$
  • D
    $55^{\circ}$
Answer
Correct option: C.
$140^{\circ}$
(C) $140^{\circ}$
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MCQ 131 Mark
If $\tan \theta=\frac{5}{2}$ then $\frac{4 \sin \theta+\cos \theta}{4 \sin \theta-\cos \theta}$ is equal to
  • ✓
    $\frac{11}{9}$
  • B
    $\frac{3}{2}$
  • C
    $\frac{9}{11}$
  • D
    4
Answer
Correct option: A.
$\frac{11}{9}$
(A) $\frac{11}{9}$
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MCQ 141 Mark
The radius of the base of a right circular cone and the radius of a sphere are each 5 cm in length. If the volume of the cone is equal to the volume of the sphere then the height of the cone is
  • A
    5 cm
  • ✓
    20 cm
  • C
    10 cm
  • D
    4 cm
Answer
Correct option: B.
20 cm
(B) 20 cm
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MCQ 151 Mark
If nth term of an A.P. is 7n-4 then the common difference of the A.P. is
  • ✓
    7
  • B
    7n
  • C
    $- 4$
  • D
    4
Answer
Correct option: A.
7
(A) 7
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MCQ 161 Mark
Which of the following statements is not true?
  • A
    A number of secants can be drawn at any point on the circle
  • B
    Only one tangent can be drawn at any point on a circle.
  • C
    A chord is a line segment joining two points on the circle
  • ✓
    From a point inside a circle only two tangents can be drawn.
Answer
Correct option: D.
From a point inside a circle only two tangents can be drawn.
(D) From a point inside a circle only two tangents can be drawn.
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MCQ 171 Mark
The value of k for which the system of equations 3x-ky= 7 and 6x+ 10y =3 is inconsistent, is
  • A
    $-10 $
  • ✓
    $-5 $
  • C
    5
  • D
    7
Answer
Correct option: B.
$-5 $
(B) $-5 $
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MCQ 181 Mark
The graph of a quadratic polynomial p(x) passes through the points (-6,0), (0, -30), (4,-20) and (6,0). The zeroes of the polynomial are
  • A
    $ - 6,0$
  • B
    4, 6
  • C
    $- 30,-20 $
  • ✓
    $- 6,6$
Answer
Correct option: D.
$- 6,6$
(D) $- 6,6$
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M.C.Q (1 Marks) - Maths STD 10 Questions - Vidyadip