CBSE Class 10 Mathematics Sample Paper Set 14

SECTION – A

Q1. The class interval of a given observation is 10 to 15, then the class mark for this interval will be:
(a) 11.5
(b) 12.5
(c) 12
(d) 14

Q2. If the sum of given frequencies is 24, then the value of x in the observation: x, 5,6,1,2, will be;
(a) 4
(b) 6
(c) 8
(d) 10

Q3. For any two positive integers a and b, HCF (a, b) × LCM (a, b) =
(a) 1
(b) (a × b)/2
(c) a/b
(d) a × b

Q4. The probability of an event is always
(a) 0≤ P(E) ≤ 1
(b) 0≤ P(E) ≥1
(c) 0< P(E) < 1
(d) none of these

Q5. HCF of 26 and 91 is:
(a) 15
(b) 13
(c) 19
(d) 11

Q6. A cylindrical pencil sharpened at one edge is the combination of
(a) a cone and a cylinder
(b) two cylinders
(c) a hemisphere and a cylinder
(d) none of these

Q7. Which of the following is not irrational?
(a) (3 + √7)
(b) (3 – √7)
(c) (3 + √7) (3 – √7)
(d) 3√7

Q8. The area of a sector of a circle with radius 6 cm if the angle of the sector is 60°.
(a) 142/7
(b) 152/7
(c) 132/7
(d) 122/7

Q9. The length of a tangent from a point A at a distance 5 cm from the centre of the circle is 4 cm. The radius of the circle is:
(a) 3 cm
(b) 5 cm
(c) 7 cm
(d) 10 cm

Q10. If θ is the angle (in degrees) of a sector of a circle of radius r, then the length of arc is
(a) (πr2θ)/360
(b) (πr2θ)/180
(c) (2πrθ)/360
(d) (2πrθ)/180

Q11. The degree of the polynomial, x⁴ – x² + 2 is
(a) 2
(b) 4
(c) 1
(d) 0

Q12. The midpoint of a line segment joining two points A(2, 4) and B(-2, -4) is
(a) (-2, 4)
(b) (2, -4)
(c) (0, 0)
(d) (-2, -4)

Q13. The pairs of equations 9x + 3y + 12 = 0 and 18x + 6y + 26 = 0 have
(a) Unique solution
(b) Exactly two solutions
(c) Infinitely many solutions
(d) No solution

Q14. If triangle ABC is similar to triangle DEF, then,
(a) AB/FD = BC/EF = CA/DE
(b) AB/DE = BC/DF = CA/EF
(c) AB/DE = BC/EF = CA/FD
(d) AB/BC = CA/DE = EF/FD

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