Attempt Any Five Questions out of Eight
Mathematics 10th Class
Syllabus
Qs. 1 Fill in the Blanks (Compulsory) 10 Marks
Section A
Chapter 1 To 9 (50 Marks)
Attempt Any Five Questions Out of Eight
Qs. 2 (A) Chapter 1 5 Marks
Qs. 2 (B) Chapter 1 5 Marks
Qs. 3 (A) Chapter 2 5 Marks
Qs. 3 (B) Chapter 4 5 Marks
Qs. 4 Chapter 3 & 4 10 Marks
Qs. 5 Chapter 5 10 Marks
Qs. 6 (A) Chapter 9 5 Marks
Qs. 6 (B) Chapter 3 5 Marks
Qs. 7 (A) Chapter 7 5 Marks
Qs. 7 (B) Chapter 4 5 Marks
Qs. 8 (A) Chapter 8 5 Marks
Qs. 8 (B) Chapter 4 5 Marks
Qs. 9 Chapter 5 & 7 8 Marks
Section B
Chapter 10, 11, 12 (30 Marks)
Attempt Any Three Questions Out of Five
Qs. 10 P. Geometry 10 Marks
Qs. 11 Theorem 10 Marks
Qs. 12 (A) Theorem 5 Marks
Qs. 12 (B) Theorem 5 Marks
Qs. 13 (A) Theorem 5 Marks
Qs. 13 (B) Theorem 5 Marks
Qs. 14 (A) Theorem 5 Marks
Qs. 14 (B) Theorem 5 Marks
Section C – Chapter 13 & 14
(10 Marks)
Attempt Any One Question Out of Two
Qs. 15 (A) Chapter 13 5 Marks
Qs. 15 (B) Chapter 14 5 Marks
Qs. 16 (A) Chapter 13 5 Marks
Qs. 16 (B) Chapter 14 5 Marks
Important Questions
Chapter 1
Ex 1.1 Qs. 1, 2, 10, 11
Ex 1.2 Qs. 3, 4, 5
Ex 1.3 Qs. 2, 3, 4, 5
Chapter 2
Ex 2.1 - 2.5 Are Not Important
Ex 2.6 Qs. 13, 14
Ex 2.7 Qs. 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19
Ex 2.8 Qs. 2, 3, 4, 5, 6, 7, 8, 9, 10
Misc. Ex. 2 Qs. 8, 10, 11
Chapter 3
Ex. 3.1 - 3.4 Are Not Important
Ex 3.5 Qs. 1, 2, 3, 4, 5, 6, 7, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Ex 3.6 Qs. 4, 6, 8
Ex 3.7 Qs. 8, 9, 10, 11
Ex 3.8 Qs. 14, 15, 16, 17, 20
Ex 3.9 Qs. 11, 12, 13, 14, 15
Ex 3.10 Qs. 6, 9, 10
Misc. Ex. 3 Qs. 6, 11, 12, 13
Chapter 4
Ex 4.1 Not Important
Ex 4.2 Qs. 1 To 16
Ex 4.3 Qs. 1 To 16
Ex 4.4 Qs. 1 To 21
Ex 4.5 Qs. 1 To 21
Ex 4.6 Qs. 8, 9, 10
Ex 4.7 Qs. 1 To 13
Ex. 4.8 - 4.10 Are Not Important
Ex 4.11 Qs. 8 To 36
Ex 4.12 Qs. 1 To 10
Ex 4.13 Qs. 1 To 7
Misc. Ex. 4 Qs. 6, 7, 8, 9
Chapter 5
Ex 5.1 Qs. 1
Ex 5.2 Qs. 7, 8, 13, 14, 15, 18, 19
Ex 5.3 Qs. 5, 6, 7, 9, 10
Ex 5.4 Qs. 1 To 12
Chapter 6
Ex 6.1 - 6.3 Are Not Important
Ex 6.4 Qs. 7, 8, 10, 11
Ex 6.5 Qs. 1 To 12
Chapter 7
Ex 7.1 Not Important
Ex 7.2 Qs. 19, 20, 21, 22, 23, 24, 25
Misc. Ex. 7 Qs. 7, 8, 9, 10, 11, 12, 13
Chapter 8
Ex 8 Qs. 9, 10, 11, 12, 13, 14
Misc. Ex. 8 Qs. 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
Chapter 9
Ex. 9.1 - 9.5 Are Not Important
Ex 9.6 Qs. 1 To 12
Misc. Ex. 9 Qs. 9
Chapter 13
Ex. 13.1-13.2 Are Not Important
Ex. 13.3 Qs. 1 To 18
Ex. 13.4 Not Important
Ex. 13.5 Qs. 1 To 11
Misc. Ex. 13 Qs. 4, 5, 6, 7, 8
Trigonometric Ratios of 30, 45, 60 Degrees
Chapter 14
Ex. 14.1 Not Important
Ex. 14.2 Qs. 2, 4, 6, 7, 8, 9, 14
Ex. 14.3 Qs. 4, 7, 8, 9, 10, 11
Egs./ Page 1/310, 2/311, 3/312, 4/313, 3/315, 4/316, 1/322, 2/322, 3/323, 4/325, 5/325
Fill In the Blanks
1. If A = {2, 3, 5, 10}, B = {5, 2, 10, 3}, then A and B are ______sets.
2. If A = {1, 2, 3}, B = {a, b, c}, then A and B are ______sets.
3. If A = {1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, then A and B are ______sets.
4. If A = {a, b, c}, B = {b, d, e, f}, then A and B are ______sets.
5. If A = {1, 3, 5, 7}, B = {0, 2, 4, 6, 8}, then A and B are ______sets.
6. If A = {a, b, c}, B = {e, f, g}, then A and B are ______sets.
7. If A = {a, b, c}, B = {l, m, n, p}, then A and B are ______sets.
8. If A = {x, y, z}, B = {p, q, r, s}, then A and B are ______sets.
9. If A = {x, y, z}, B = {l, m, n, p}, then A and B are ______sets.
10. If A = {l, m, n, o}, B = {l, n, q}, then AUB is equal to ______.
11. If A = {l, m, n, o, p}, B = {l, n, q, s}, then AÇB is equal to ______.
12. If A and B are disjoint sets, then AÇB is ______set.
13. If A = {a, b, c, d}, B = {b, d}, then B is a ______of A.
14. If A = {p, q, r, s}, B = {p, s}, then A is a ______of B.
15. The null set is considered to be the ______of every set.
16. The complementary set of a null set is a ______set.
17. The power set of a set A is the set of all ______of A.
18. A set which contains all possible subsets of A is called ______set.
19. If a set has 3 members, the power set of this set will have ______members.
20. If A = {1, 2, 3}, then the number of all possible subsets of A is ______.
21. If A = {1, 2, 3, 4}, then the number of all possible subsets of A is ______.
22. The power subset of a null set contains ______.
23. The y-cordinate of all the points on X- axis is ______.
24. The x-cordinate of all the points on Y- axis is ______.
25. Any ordered pair of real numbers (x, y) is to be considered a ______.
26. A cartesian product of A* B ______B*A.
27. If R is equal to {(1, 2), (2, 3), (3, 4}, then domain R = ______.
28. If R is equal to {(1, 2), (2, 3), (3, 4}, then Range R = ______.
29. N = {1, 2, 3, 4,….} is the set of ______numbers.
30. Z = {0,1, 2, 3, 4,….} is the set of ______numbers.
31. I = {…, -3, -2, -1, 0, 1, 2, 3…} is the set of ______.
32. All those numbers that form complete pair are called ______numbers.
33. All those numbers that do not form complete pairs are called ______numbers.
34. All those numbers which are divisible by 1 and by themselves are known as ______numbers.
35. All those numbers which can be written in the form p/q, where p and q are integers and q is not zero are called ______numbers.
36. 1/3 or 0.333 and 1/2 or 0.5 are examples of ______numbers.
37. All those numbers, which do not have repeating or terminating decimal representations, are called ______numbers.
38. and p are the examples of ______numbers.
39. A set is said to be closed for ______if the sum of every two numbers of the set is also in the set.
40. A set is said to be closed for ______if the product of every two numbers of the set is also in the set.
41. A = {1, 3, 5, 7….} is closed for ______.
42. A = {0, 1} is closed for ______.
43. 5 + 7 = 7 + 5. The property used is ______.
44. (4 + 3) + 2 = 4 + (3 + 2). The property used is ______.
45. The identity element of addition of the set of real numbers is ______.
46. The additive inverse of 7a is ______.
47. The additive inverse of a-b is ______.
48. The additive inverse of b-a is ______.
49. 4*7 = 7*4. The property used is ______.
50. (2*3) 6 = 2*(3*6). The property used is ______.
51. The identity element for multiplication of the set of real numbers is ______.
52. The multiplicative inverse of a is ______.
53. The multiplicative inverse of (a + b) is ______.
54. The multiplicative inverse of (a - b) is ______.
55. The multiplicative inverse of 1/(x + y) is ______.
56. 4*(5 + 7) = 4*5 +4*7. The property used is ______.
57. If x, y, z are real numbers and x = y, y = z, then x = z (or z = x). The property used is ______.
58. ______non collinear points determine a plane.
59. ______number of planes pass through a given line.
60. If two planes intersect, their intersection is a ______.
61. If a plane meets two parallel planes, then the lines of intersection are ______.
62. One and only one ______can be drawn to a plane from a point no on the plane.
63. If two straight lines are perpendicular to the same plane, they are ______to each other.
64. If a line is perpendicular to each of the two planes, then the planes are ______.
65. An angle is the union of two non-collinear rays having the same end ______.
66. If the sum of the measures of two angles is 90, then the angles are called complementary angles, and each one is called the ______of the other.
67. The complement of 40 = ______.
68. The complement of 41 = ______.
69. If the sum of the measures of two angles is 180, then the angles are called supplementary angles, and each one is called ______of the other.
70. The supplement of 50 = ______.
71. The supplement of 41 = ______.
72. If the outer sides of two adjacent angles lie on a line, they are ______angles.
73. If two lines intersect, then the vertical angles are ______.
74. If two sides of a triangle are congruent, then angles opposite to these sides are ______.
75. If two parallel lines are cut by a transversal, each pair of alternate interior angles are ______.
76. If two parallel lines are cut by a transversal, each pair of corresponding angles are ______.
77. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are ______.
78. In a plane, if a line is perpendicular to one to two parallel lines, it is ______to the other.
79. The sum of the measures of three angles of a triangle is equal to ______.
80. Each angle of an equilateral triangle is ______.
81. In a right triangle, the acute angles are ______angles.
82. The measure of an exterior angle of triangle is ______to the sum of the opposite interior angles.
83. If two angles and one side of an triangles are congruent to the corresponding angles and side of another triangle respectively, then the triangles are ______.
84. If the measure of two angles in a triangle are 80 and 60, then the measure of third angle is ______.
85. The sum of the measures of angles of a quadrilateral is ______.
86. If two angles of a triangle are congruent, then the ______opposite to them are also congruent.
87. The opposite sides and angles of a parallelogram are ______.
88. In a parallelogram, the interior angles of a side are ______.
89. The measure of one angle of a parallelogram is 75; the measure of the consecutive angle is ______.
90. The diagonals of a square bisect each other at ______.
91. The diagonals of a rhombus bisect each other at ______.
92. In a triangle, the sum of measure of any two sides is ______than the measure of the third side.
93. A set of all points in a plane which are equidistant from a fixed point is called a ______.
94. If a straight line intersects a circle in two points, then the line is called a ______of the circle.
95. If a straight line touches a circle at one point only, then the line is called ______to the circle.
96. Two or more circles with the same center are called ______circles.
97. Circles having equal radii are called ______circles.
98. If a diameter of a circle is perpendicular to one of its chords then it will ______the chord.
99. If two chords of a circle are congruent, they are ______from the center.
100. If a line is ______to a radial segment at its point on the circle, it is tangent to the circle.
101. The sum of the measure of the opposite angles of a cyclic quadrilateral is ______.
102. The opposite angles of a cyclic quadrilateral are ______.
103. The measure of an angle subtended in a semicircle is ______.
104. Sin2q + Cos 2q = ______.
105. The characteristics of log 0.00753 is ______.
106. The inscribed angle of a semi-circle is ______.
107. The additive inverse of a + b is ______.
108. Sin 20 = Cos ______.
109. If S = {1, 2, 3, 4}, then the number of elements in P(S) = ______.
110. According to the demorgan’s law A’ÇB’ = ______.
111. The supplement of an angle of 90 is ______.
112. ______is the multiplicative inverse of a – b.
113. A chord which passes through the center of a circle is called ______.
114. ______is the multiplicative inverse of 1/X.
115. The set of all subsets of a set is called ______.
116. Sin(90 – 40) = Cos ______.
117. If log8 16 = x, then x =______.
118. ______should be added to 9a2b2 – 12abc to make it a perfect square.
119. Sin 60 = ______.
120. X = S fx / Sf is the formula of ______.
121. Log5 + log8 – log6 = log ______.
122. The circle passing through the vertices of a triangle is called ______circle.
123. ______should be added to 4x2 + 12x to make is a perfect square.
124. X3.X-3 = ______
125. Sec2q - 1 =______
126. Cot 30 = ______
127. If log4 64 = x, then x = ______.
128. An angle inscribed in a minor arc is ______angle.
129. The set A = {1, 3, 5, 7…..} is closed with respect to ______.
130. Two circles whose radii are equal are called ______Circles.
131. A line segment joining any two points of a circle is called ______of the circle.
132. The set A = {0,1} is closed with respect to ______.
133. The angle inscribed in a major arc is an ______.
134. The characteristic of log 97.2 is ______.
135. If all the elements of a matrix are zero, the matrix is called a ______matrix.
136. A-1 is called ______.
137. If ½A½=0, then matrix A is called ______.
138. If ½A½¹0, then the matrix A is called ______.
139. Measure of radial segment is called ______.
140. The chord through the centre of the circle is called a ______.
141. A line segment having both its end points on a circle is called ______.
142. The distance of any point of a circle from its centre is called ______.