Class - IX
Subject: Mathematics
Total Time: 40 Minutes Total Marks: 40
Objective Questions:
1. George Cantor was a / an ... ...?
(i) German (ii) Japanese (iii) Austrian (iv) American
2. Which one of the following is a unit set?
(i) {0} (ii) Æ (iii) {1} (iv) (i) & (iii)
3. A = {2, L, b, a duster}. Which element of A is of our real world?
(i) 2 (ii) L (iii) b (iv) a duster
4. Which of the following sets is not well defined?
(i) {All positive integers} (ii) {All irrational numbers}
(iii) {The mango trees} (iv) {All real numbers}
5. What is the Roster method of the set {x: x
Z and x < 3}?
Z and x < 3}? (i) {0, 1, 2} (ii) {1, 2} (iii) {0, ±1, ±2} (iv) {±1, ±2}
6. Which is the Set Builder Method of the set {0, ±2, ±4}? 
(i) {x: xZ, x is even and x < 5} (ii) {x: x is even}
Z, x is even and x < 5} (ii) {x: x is even} (iii) {x: x is even integers and x < 6} (iv) (i) & (iii)
7. Which one of the following conditions is incorrect?
(i) x: x is positive even numbers and xN (ii) x: x is odd negative numbers and xZ
N (ii) x: x is odd negative numbers and xZ (iii) x: x is 0 and x
N (iv) x: x is an integer and xR
N (iv) x: x is an integer and xRU = the set of natural number less than 15, A = the set of all the perfect square integers less than 15, B = the set of all the perfect cube integers less than 15 and C = the set of all even integers less than 15. (Considering the data given above, answer the questions 8 – 12):
8. Then U – A is ... ...?
(i) {1, 4, 9} (ii) {1, 8}
(iii) {2, 4, 6, 8, 10, 12, 14} (iv) {2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14}
9. Then U – B is ... ...?
(i) {1, 4, 9} (ii) {1, 8}
(iii) {2, 4, 6, 8, 10, 12, 14} (iv) {2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14}
10. Then U – C is ... ...?
(i) {2, 3, 5, 6, 7, 8, 10, ... ...} (ii) {1, 8} (iii) {1, 4, 9, ... ...} (iv) {1, 3, 5, 7, 9, 11, 13}
11. Then A – B is ... ...?
(i) {1, 4, 9} (ii) {1, 8} (iii) {4, 9} (iv) {1, 3, 5, 7, 9, 11, 13}
12. Then B – A is ... ...?
(i) {1, 4, 9} (ii) {1, 8} (iii) {8} (iv) {1, 3, 5, 7, 9, 11, 13}
13. Which one of the following is an irrational number?
(i) 2
(ii) 2 ± (iii) 2 
(iv) (i), (ii) & (iii)
(ii) 2 ± (iii) 2 (iv) (i), (ii) & (iii)14. Which statement is not true?
(i) A number line is not a vertical line. (ii) A number line is a horizontal line.
(iii) A number line is an infinite straight line.
(iv) The rational fractions can not be represented on a number line.
15. If x > 0, which statement is not true?
(i) x + 1 > 0 (ii) x + 2 = 0 (iii) x + 5 > 0 (iv) x – x = 0
16. Observe the number line above. Which inequality is shown on this line?
(i) –3 ≤ x < 3 (ii) –3 < x ≤ 3 (iii) – 3 ≤ x ≤ 3 (iv) – 3 < x < 3
17. Which one of the following is an improper fraction?
(i) 
(ii) 
(iii) 
(iv) 
(ii) (iii) (iv) 18. Any general rule expressed by symbols is called ... ...?
(i) Algebraic Expression (ii) Formula (iii) Postulate (iv) Corollary
19. Which one is correct if the sum of x times of a and y times of b is equal to z?
(i) ax + z = by (ii) ay + bx = z (iii) xa + yb = z (iv) ax + by + z = 0.
20. What is the H. C. F. of ax, bx and cx?
(i) 1 (ii) abc (iii) x (iv) abcx
21. If X and Y be the L. C. M. and H. C. F. respectively of any two algebraic expressions; what is the product of those expressions?
(i) XY (ii) 
(iii) 
(iv) 1
(iii) (iv) 122. In an examination a student answered 75 objective questions correctly. This was 75% of the questions. What was the total numbers of questions on the examination?
(i) 25 (ii) 50 (iii) 75 (iv) 100
23. What is the H. C. F. of x2 + x; x2 + 2x + 1 and x3 + 1?
(i) 1 (ii) x + 1 (iii) x2 + x (iv) 2(x + 1)
24. How many volumes are there of "The elements"?
(i) 11 (ii) 12 (iii) 13 (iv) 14
25. Pythagoras was an ancient ... ... geometer.
(i) France (ii) Egyptian (iii) Greek (iv) British
26. How many rays can be drawn from a point?
(i) 1 (ii) 2 (iii) 3 (iv) Innumerable
27. What is the locus of a point equidistant from a fixed point?
(i) a straight line (ii) a plane (iii) a circle (iv) a sphere
28. How many vertical angles are there at the point of intersection of two straight lines?
(i) 1 (ii) 2 (iii) 3 (iv) 4
29. a. An angle is a figure formed by two rays with a common endpoint.
b. The common endpoint is called the vertex of the angle.
c. The rays are called sides of the angle.
What is / are the correct answer/answers after the above statements?
(i) a & b (ii) a & c (iii) b & c (iv) a, b & c
30. a. An angle has exactly one bisector.
b. A right angle has more than one bisector.
c. A straight angle has innumerable bisectors.
What is / are the correct answer/answers after the above statements?
(i) a (ii) a & c (iii) b & c (iv) a, b & c
31. How many pairs of adjacent angles are formed if two lines intersect?
(i) 1 (ii) 2 (iii) 3 (iv) 4
Observe the adjoining figure carefully and answer the questions (32 – 34):
If AB||CD and EF is the bisector of ÐDEF; 32. Ðx =......?
(i) 30o (ii) 60o (iii) 90o (iv) 120o
33. Ðy =... ...?
(i) 30o (ii) 60o (iii) 90o (iv) 120o
34. ÐE =... ...?
(i) 30o (ii) 60o (iii) 90o (iv) 120o
35. What is the area of the shaded portion of the circular field?(i) 200p (ii) 225p (iii) 425p (iv) 625p
36. What is the reciprocal ratio of sinq?
(i) cosq (ii) cosecq (iii) tanq (iv) secq
37. a. Sine and cosine are called co–functions.
b. Tangent and cotangent are called co–functions.
c. Secant and cosecant are called co–functions.
What is/ are the correct answer/answers after the above statements?
(i) a (ii) b (iii) c (iv) a, b & c
38. Which of the following angles gives the same value of trigonometric functions tangent and cotangent?
(i) 30o (ii) 45o (iii) 60o (iv) 90o
Observe the adjoining figure carefully and answer the questions (39 - 40):
39. If tanq = 
; PM = ... ...?(i) 3 (ii) 4 (iii) 5 (iv) 6
40. If tanq = ; OM = ... ...?
; OM = ... ...?(i) 3 (ii) 4 (iii) 5 (iv) 6
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