CBSE CLASS 10 MATHEMATICS -SAMPLE QUESTION PAPER

 

SECTION A

Questions 1 to 20 carry 1 mark each

  1. The HCF of 95 and 152 is:
    • (a) 17
    • (b) 19
    • (c) 23
    • (d) 1
  2. If one zero of the polynomial p(x) = 5x² + 13x + k is reciprocal of the other, then the value of k is:
    • (a) 0
    • (b) 5
    • (c) 1/5
    • (d) 6
  3. The pair of equations x + 2y = 5 and 3x + 6y = 15 has:
    • (a) A unique solution
    • (b) No solution
    • (c) Infinitely many solutions
    • (d) Two solutions
  4. The value of k for which the system of equations kx + 2y = 5 and 3x + y = 1 has no solution is:
    • (a) 6
    • (b) -6
    • (c) 3/2
    • (d) 2/3
  5. The 11th term of the AP: -5, -5/2, 0, 5/2, ... is:
    • (a) 20
    • (b) 25
    • (c) -20
    • (d) -25
  6. In △ABC, DE || BC. If AD = 3 cm, DB = 2 cm and AE = 2.7 cm, then AC is:
    • (a) 4.5 cm
    • (b) 1.8 cm
    • (c) 4 cm
    • (d) 5.4 cm
  7. If sin A = 3/5, then the value of cos A is:
    • (a) 4/5
    • (b) 5/4
    • (c) 3/4
    • (d) 4/3
  8. The value of (1 + tan²θ)(1 - sin θ)(1 + sin θ) is:
    • (a) 0
    • (b) 1
    • (c) -1
    • (d) 2
  9. The distance between the points (0, 5) and (-5, 0) is:
    • (a) 5
    • (b) 5√2
    • (c) 2√5
    • (d) 10
  10. A line intersects the y-axis at point (0, 2). The y-intercept is:
    • (a) 0
    • (b) 2
    • (c) -2
    • (d) 1
  11. If the area of a circle is 154 cm², then its circumference is:
    • (a) 44 cm
    • (b) 22 cm
    • (c) 11 cm
    • (d) 88 cm
  12. The perimeter of a semicircle of radius 7 cm is:
    • (a) 36 cm
    • (b) 22 cm
    • (c) 44 cm
    • (d) 18 cm
  13. A solid sphere is cut into two hemispheres. The ratio of the surface area of the sphere to the total surface area of one hemisphere is:
    • (a) 3:4
    • (b) 4:3
    • (c) 2:3
    • (d) 1:1
  14. The probability of getting a number greater than 4 when a die is thrown is:
    • (a) 1/3
    • (b) 1/2
    • (c) 2/3
    • (d) 1/6
  15. If the mean of 5 observations x, x+2, x+4, x+6, x+8 is 11, then the value of x is:
    • (a) 7
    • (b) 9
    • (c) 5
    • (d) 11
  16. The decimal expansion of 147/120 will terminate after how many decimal places?
    • (a) 1
    • (b) 2
    • (c) 3
    • (d) Will not terminate
  17. If α and β are the zeros of the polynomial x² - 5x + 6, then α + β is:
    • (a) 5
    • (b) -5
    • (c) 6
    • (d) -6
  18. The value of sin 60° cos 30° + sin 30° cos 60° is:
    • (a) 0
    • (b) 1
    • (c) 1/2
    • (d) √3/2
  19. If the radius of a circle is reduced by 50%, then the area of the circle is reduced by:
    • (a) 25%
    • (b) 50%
    • (c) 75%
    • (d) 100%
  20. The mid-point of the line segment joining the points (3, 4) and (5, 6) is:
    • (a) (4, 5)
    • (b) (2, 2)
    • (c) (8, 10)
    • (d) (1, 1)

      ANSWER KEY

      SECTION A (1 mark each)

      1. (b) 19
      2. (b) 5
      3. (c) Infinitely many solutions
      4. (a) 6
      5. (b) 25
      6. (a) 4.5 cm
      7. (a) 4/5
      8. (b) 1
      9. (b) 5√2
      10. (b) 2
      11. (a) 44 cm
      12. (a) 36 cm
      13. (b) 4:3
      14. (a) 1/3
      15. (a) 7
      16. (c) 3
      17. (a) 5
      18. (b) 1
      19. (c) 75%
      20. (a) (4, 5)

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