Total Questions: 150

Sections:

• Mathematics – 50 Qs
• Intelligence/Reasoning – 25 Qs
• Language – 25 Qs
• Science/General Knowledge – 25 Qs
• Social Studies/Current Affairs – 25 Qs

SAINIK SCHOOL ENTRANCE EXAM – CLASS 9 MOCK TEST

Total Questions: 150
Total Marks: 300
Time: 2.5–3 hours

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SECTION A – MATHEMATICS (1–50)

1. Solve for $x$x: $2x^2 – 5x + 3 = 0$2×2−5x+3=0
2. Find the roots of $x^2 + 7x + 12 = 0$x2+7x+12=0
3. The sum of the first 25 odd numbers is:
   A) 625 B) 6250 C) 62500 D) 650
4. Simplify: $\frac{5}{8} + \frac{7}{12} – \frac{1}{6}$85​+127​−61​
5. A train travels 120 km at 60 km/h and returns at 40 km/h. Find the average speed.
6. If a^2 + b^2 = c^2, find the value of (a+b)^2 – (a-b)^2
7. A shopkeeper marks 40% above cost and allows 20% discount. Find his gain/loss %.
8. The sum of interior angles of a polygon is 1980°. Find the number of sides.
9. Factorize: $x^3 – 27$x3–27
10. Find the HCF and LCM of 288 and 360
11. Solve: $3x – 7 = 2x + 5$3x–7=2x+5
12. The perimeter of a triangle is 60 cm. Its sides are in the ratio 2:3:5. Find the sides.
13. A cone has radius 7 cm and height 24 cm. Find its volume.
14. Find the mean, median, and mode for the data: 4, 8, 15, 16, 23, 42, 8
15. Probability of getting a prime number on a die throw.
16. Find the next number in the series: 2, 6, 12, 20, 30, ?
17. A number increased by 25% becomes 500. Find the original number.
18. Solve: $\frac{2}{x} + \frac{3}{x+1} = 1$x2​+x+13​=1
19. Area of trapezium with parallel sides 10 cm, 16 cm and height 8 cm.
20. A car travels 180 km in 4 hours. Find its speed in m/s.
21. The sum of squares of three consecutive numbers is 365. Find the numbers.
22. Find the surface area of a sphere with radius 14 cm.
23. Volume of a cylinder with radius 7 cm and height 10 cm.
24. Solve: $\frac{x+2}{x-3} = 2$x−3x+2​=2
25. Find the value of $(x-1)(x+2)$(x−1)(x+2) if x = 4.
26. Next term: 3, 6, 12, 24, ?
27. Two numbers are in ratio 7:9. Their sum is 256. Find the larger number.
28. Convert 45° to radians.
29. Find the distance between points (2,3) and (5,7).
30. A boat goes 15 km downstream in 1 hr and returns in 1.5 hr. Find the speed of stream.
31. Solve for x: $5x + 3 = 2x + 12$5x+3=2x+12
32. A bag contains 5 red, 4 blue, 3 green balls. Probability of picking a green ball.
33. Simplify: $\frac{3}{4} ÷ \frac{9}{16}$43​÷169​
34. Area of triangle with sides 13, 14, 15 cm.
35. If sin θ = 3/5, find cos θ.
36. A number leaves remainder 9 when divided by 20. Find remainder when divided by 10.
37. A man walks 4 km north, 3 km east, 4 km south. How far from start?
38. Next number: 1, 8, 27, 64, ?
39. Find the sum of first 30 natural numbers.
40. The ratio of boys to girls in a class is 7:5. Total 48 students. Find number of girls.
41. Solve: $x^2 – 7x + 10 = 0$x2–7x+10=0
42. Find the volume of a cube with side 12 cm.
43. Area of circle with diameter 28 cm.
44. Solve: 5x – 2 = 3x + 6
45. Simplify: $7^2 – 6^2 + 5^2 – 4^2$72–62+52–42
46. Sum of angles of a heptagon.
47. The mean of 5 numbers is 12. Find the sum.
48. Cost price of an article ₹1200. Sold at ₹1350. Find gain %.
49. A solid sphere of radius 7 cm is melted into smaller spheres of radius 1 cm. How many small spheres?
50. Next term: 5, 11, 23, 47, ?

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SECTION B – INTELLIGENCE / REASONING (51–75)

51. Next number: 2, 6, 12, 20, 30, ?
52. Find missing term: 3, 10, 29, 66, ?
53. Odd one out: 121, 144, 169, 196, 220
54. CODE: BOOK → CPPL. PEN → ?
55. A man walks 5 km north, 3 km east, 5 km south, 3 km west. Distance from start?
56. Mirror image of 3:40
57. If South-East → North, North → ?
58. Complete series: 1, 4, 9, 16, ?
59. If TABLE → UCDMF, what is CHAIR → ?
60. Logical order: Seed, Plant, Flower, Fruit
61. Cubes painted, cut into 27 pieces. How many with 2 faces painted?
62. Direction puzzle: Ravi walks 10 m N, 15 m E, 10 m S. Distance from start?
63. Missing number: 2, 6, 15, 31, 56, ?
64. Next in series: A, D, H, M, S, ?
65. If + means × and × means –, evaluate 8 + 4 × 2
66. Students in a row: A is 12th from left, 18th from right. Total?
67. Odd one: Triangle, Square, Circle, Cube
68. Next term: 3, 9, 27, ?
69. WORD value (A=1) → WORD = ?
70. Mirror of 6:15
71. If 1 Jan 2023 is Sunday, 1 Jan 2024?
72. Direction puzzle: N→W, E→?
73. Sequence puzzle: 8, 24, 12, 36, 18, ?
74. Odd one: 11, 13, 17, 19, 21
75. How many squares in 5×5 grid?

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SECTION C – LANGUAGE (76–100)

76. Synonym of “Meticulous”
77. Antonym of “Optimistic”
78. Choose correct spelling: Conscience
79. Fill blank: Neither the teacher nor the students ___ present
80. Passive voice: “They completed the task”
81. Preposition: He insisted ___ paying
82. One word: “A person who speaks many languages”
83. Error spotting: He don’t like cricket
84. Tense: By next year, she ___ her studies
85. Idiom: “Break the ice”
86. Antonym: Ancient
87. Fill blank: She is superior ___ me
88. One word: Place where soldiers live
89. Article: He is ___ honest man
90. Phrase meaning: “At the eleventh hour”
91. Correct sentence: She doesn’t like tea
92. Synonym: Rapid
93. Choose correct meaning: Philanthropist
94. Correct preposition: He is good ___ mathematics
95. Error spotting: Each of the boys have completed the work
96. One word substitution: Person who collects coins
97. Antonym: Scarcity
98. Fill blank: He is better ___ me in English
99. Correct spelling: Miscellaneous
100. Identify sentence with correct tense usage

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SECTION D – SCIENCE / GENERAL KNOWLEDGE (101–125)

101. First Indian satellite
102. Kargil War year
103. Largest planet in solar system
104. National bird of India
105. Human largest organ
106. Atomic number of Oxygen
107. Law of reflection
108. First satellite of India
109. Red planet
110. ISRO HQ
111. Author of “Wings of Fire”
112. Tropic of Cancer passes through how many Indian states
113. Largest ocean in world
114. Indian Army HQ
115. Currency of Japan
116. Battle of Plassey year
117. Smallest continent
118. Chemical symbol of Sodium
119. UN headquarters city
120. First woman PM of India
121. Deepest ocean trench
122. Largest river in India
123. First Governor-General of India
124. Indian Constitution came into force
125. Pongal festival celebrated in which state

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SECTION E – SOCIAL STUDIES / CURRENT AFFAIRS (126–150)

126. Who was first Prime Minister of India?
127. Year of Indian Constitution adoption
128. Longest river in India
129. Current Chief of Defence Staff
130. One District One Product scheme state
131. Capital of Madhya Pradesh
132. State with largest population
133. President of India 2026
134. First Indian woman astronaut
135. First Indian Nobel Prize winner
136. Indian national anthem author
137. Largest state by area
138. Smallest state by area
139. Literacy rate highest state
140. Which river is called “Sorrow of Bihar”?
141. Who discovered India’s first vaccine?
142. First Governor of RBI
143. Current PM of India
144. Indian state that borders Nepal and China
145. National flower of India
146. National fruit of India
147. Important day: 26 Jan
148. Important day: 15 Aug
149. Important day: 5 Sept
150. Name of current Indian Army Chief

SECTION A – MATHEMATICS (1–50)

Q.No	Answer
1	1.5, 1
2	-3, -4
3	A
4	13/12
5	48 km/h
6	4ab
7	12% gain
8	12 sides
9	(x – 3)(x^2 + 3x + 9)
10	HCF: 72, LCM: 1440
11	x = 12
12	12, 18, 30 cm
13	1232 cm³
14	Mean: 16, Median: 15, Mode: 8
15	1/2
16	42
17	400
18	x = 4
19	104 cm²
20	12.5 m/s
21	12, 13, 14
22	2464 cm²
23	1538 cm³
24	x = 5
25	18
26	42
27	144
28	π/4 rad
29	5 units
30	15 km/h
31	x = 9
32	1/4
33	4/3
34	84 cm²
35	4/5
36	9
37	3 km
38	125
39	465
40	20 girls
41	2, 5
42	1728 cm³
43	616 cm²
44	x = 4
45	12
46	900°
47	60
48	12.5% gain
49	343 spheres
50	95

SECTION B – INTELLIGENCE / REASONING (51–75)

Q.No	Answer
51	42
52	135
53	220
54	RFO
55	0 km
56	3
57	East
58	25
59	DJBHR
60	Seed → Plant → Flower → Fruit
61	12
62	15 m
63	101
64	Z
65	14
66	29
67	Cube
68	81
69	60
70	6:45
71	Monday
72	South
73	54
74	21
75	30

SECTION C – LANGUAGE (76–100)

Q.No	Answer
76	B
77	C
78	C
79	“don’t”
80	B
81	A
82	C
83	B
84	B
85	B
86	B
87	B
88	C
89	A
90	A
91	C
92	B
93	A
94	B
95	C
96	Numismatist
97	B
98	B
99	C
100	C

SECTION D – SCIENCE / GENERAL KNOWLEDGE (101–125)

Q.No	Answer
101	Aryabhata
102	1999
103	Jupiter
104	Peacock
105	Skin
106	8
107	Angle of incidence = angle of reflection
108	Aryabhata
109	Mars
110	Bengaluru
111	A. P. J. Abdul Kalam
112	8
113	Pacific
114	New Delhi
115	Yen
116	1757
117	Australia
118	Na
119	New York
120	Indira Gandhi
121	Mariana Trench
122	Ganga
123	Lord Mountbatten
124	26 January 1950
125	Tamil Nadu