Navodaya Vidyalaya Class 9 Entrance Exam – Mock Test Paper

Time: 3 Hours | Total Marks: 120 | Questions: 100

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🔹 SECTION A – MATHEMATICS (Q1–Q25)

Each question carries 4 marks.

Q1. Solve for $x$x: $2x – 3 = 5$2x−3=5

Q2. Find the value of $x$x in the equation $3x + 7 = 2x + 12$3x+7=2x+12.

Q3. Factorize: $x^2 – 5x + 6$x2−5x+6

Q4. Find the value of $x$x in $\frac{2x + 1}{3} = 5$32x+1​=5.

Q5. Find the LCM of 18, 24, and 36.

Q6. Find the HCF of 48 and 60.

Q7. A triangle has two sides of 15 cm and 20 cm. The perimeter is 60 cm. Find the third side.

Q8. A sum of ₹5000 is invested at 6% simple interest for 3 years. Find the total amount at the end of 3 years.

Q9. Calculate the area of a circle with radius 7 cm. Use $\pi = 3.14$π=3.14.

Q10. Simplify: $4x – 5 = 3x + 10$4x−5=3x+10.

Q11. The sum of three consecutive even numbers is 72. Find the numbers.

Q12. A sum of ₹2000 amounts to ₹2400 in 2 years at simple interest. Find the rate of interest.

Q13. Solve: $5(x – 3) = 3x + 12$5(x−3)=3x+12

Q14. Find the value of $\sqrt{529}$529​.

Q15. If the perimeter of a square is 48 cm, find the area.

Q16. Find the LCM of 12 and 15.

Q17. The price of an item is ₹1200. It is sold at a profit of 25%. Find the selling price.

Q18. Find the next term in the series: 2, 6, 12, 20, 30, ___.

Q19. Solve: $7x + 5 = 2x + 30$7x+5=2x+30.

Q20. The cost of 7 pens is ₹84. Find the cost of 13 pens.

Q21. A train travels at a speed of 60 km/h. How long will it take to cover a distance of 180 km?

Q22. If $x + 3 = 5$x+3=5, find the value of $x$x.

Q23. Solve: $6x + 8 = 4x + 18$6x+8=4x+18.

Q24. A cylinder has a radius of 7 cm and height 14 cm. Find its volume. (Use $\pi = \frac{22}{7}$π=722​).

Q25. Find the HCF of 36 and 54.

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🔹 SECTION B – INTELLIGENCE / REASONING (Q26–Q50)

Each question carries 2 marks.

Q26. Odd one out: 16, 25, 36, 40, 49

Q27. Find the next term in the series: 3, 6, 9, 12, ___

Q28. If 7x – 3 = 29, find the value of $x$x.

Q29. Find the missing number: 8, 15, 22, 29, ___

Q30. Mirror image of 6:00

Q31. Coding: If CAT = 24, DOG = 26, then COW = ?

Q32. A is the brother of B. B is the mother of C. How is A related to C?

Q33. Complete the pattern: 5, 9, 13, 17, ___

Q34. What comes next in the series: 2, 6, 12, 20, 30, ___

Q35. Blood relation: A is father of B, B is sister of C. How is A related to C?

Q36. Number series: 7, 13, 19, 25, ___

Q37. Direction: Ravi walks 5 km East, then turns left and walks 3 km. What is his final direction from the start?

Q38. What comes next in the series: 3, 9, 27, 81, ___

Q39. A man walks 6 km North, 8 km East, 10 km South. Find the distance from his starting point.

Q40. Find the missing letter: F, I, L, O, ___

Q41. Odd one out: 2, 4, 6, 9, 10

Q42. Find the next term: 10, 20, 30, 40, ___

Q43. Complete the analogy: Book : Author :: Painting : ___

Q44. A clock shows 7:30. What is the angle between the hour and minute hands?

Q45. Find the missing number: 16, 21, 26, ___, 36

Q46. Number series: 4, 12, 36, 108, ___

Q47. Letter series: B, E, H, K, ___

Q48. Blood relation: A is the grandfather of B, C is the father of B. How is C related to A?

Q49. Find the next term: 5, 11, 17, 23, ___

Q50. What is the opposite of “Advance”?

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🔹 SECTION C – ENGLISH GRAMMAR & VOCABULARY (Q51–Q70)

Each question carries 1 mark.

Q51. He ___ (go) to school every day.

Q52. The children ___ (be) playing in the park.

Q53. Choose the correct sentence:
a) She can singing.
b) She can sing.
c) She sing.
d) She sings.

Q54. I saw ___ eagle flying in the sky.

Q55. They ___ been working for two hours.

Q56. Choose the synonym of “Quick”:
a) Slow
b) Swift
c) Lazy
d) Soft

Q57. Fill in the blank: The book is ___ the table.
a) in
b) on
c) at
d) over

Q58. What is the opposite of “Accept”?
a) Approve
b) Refuse
c) Reject
d) Disapprove

Q59. The opposite of “Easy” is ___.

Q60. She is the ___ (tall) of all the students in her class.

Q61. Choose the correct word:
___ you come with me?
a) Do
b) Are
c) Can
d) Will

Q62. Which of the following is correct?
a) He has gone to the market.
b) He gone to the market.
c) He have gone to the market.
d) He is gone to the market.

Q63. She was tired, ___ she did not go to school.
a) so
b) because
c) but
d) and

Q64. Fill in the blank: I ___ my homework already.
a) done
b) does
c) doing
d) have done

Q65. The synonym of “Brave” is ___.

Q66. Which of the following is the correct form of the verb?
a) He is write a letter.
b) He is writing a letter.
c) He write a letter.
d) He writing a letter.

Q67. “They ___ here since morning.”
a) were
b) have been
c) is
d) will be

Q68. The antonym of “Victory” is ___.

Q69. He is very ___ in his studies.
a) interested
b) interesting
c) interest
d) interests

Q70. Choose the correct spelling:
a) Applience
b) Appliance
c) Applieance
d) Apliance

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🔹 SECTION D – COMPREHENSION (Q71–Q75)

Passage:

Ananya loves reading. She spends most of her time with books. She reads books on various subjects like history, science, and literature. Her teachers admire her dedication and often encourage her to take part in reading competitions.

Q71. What is Ananya’s favorite activity?
Q72. What kind of books does she read?
Q73. How do her teachers feel about her?
Q74. What do her teachers encourage her to do?
Q75. What is the main idea of the passage?

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🔹 SECTION E – GENERAL KNOWLEDGE (Q76–Q100)

Q76. Capital of India
Q77. National Animal of India
Q78. National Bird of India
Q79. Largest River in India
Q80. Largest Planet in Solar System
Q81. National Fruit of India
Q82. Currency of India
Q83. Author of “Gitanjali”
Q84. Who is known as the Father of the Nation?
Q85. Who is the first President of India?
Q86. The national flower of India
Q87. Who wrote the Indian National Anthem?
Q88. India’s National Sport
Q89. First Prime Minister of India
Q90. Who invented the telephone?
Q91. Longest Railway Bridge in India
Q92. First woman to win the Nobel Prize
Q93. The largest state of India by area
Q94. Founder of the Maurya Empire
Q95. Official Language of India
Q96. First woman Prime Minister of India
Q97. Name of India’s longest highway
Q98. Largest Ocean on Earth
Q99. Founder of Microsoft
Q100. Famous festival of India known as the Festival of Lights

Disclaimer:
This mock test paper is created for educational and practice purposes only. It is not an official Navodaya Vidyalaya or Sainik School question paper, but is based on the pattern and difficulty of previous year questions (PYQs).

Navodaya Vidyalaya Class 9 Entrance Exam – Answer Key (Q1–Q100)

🔹 SECTION A – MATHEMATICS (Q1–Q25)

Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer
1	4	2	5	3	( (x-2)(x-3) )	4	( x = 6 )	5	180
6	12	7	25 cm	8	₹5300	9	153.94 sq cm	10	( x = 15 )
11	24, 26, 28	12	10%	13	( x = 2 )	14	23	15	256 sq cm
16	60	17	₹1500	18	42	19	( x = 5 )	20	₹136
21	3 hours	22	2	23	5	24	1540.4 cm³	25	18

SECTION B – INTELLIGENCE / REASONING (Q26–Q50)

Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer
26	40	27	15	28	10	29	36	30	6:00
31	27	32	Uncle	33	17	34	40	35	Father
36	31	37	Artist	38	243	39	14 km	40	G
41	9	42	50	43	Artist	44	90°	45	25
46	432	47	K	48	Father	49	29	50	Advance

SECTION C – ENGLISH GRAMMAR & VOCABULARY (Q51–Q70)

Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer
51	goes	52	are	53	b) She can sing	54	an	55	have
56	b) Swift	57	b) on	58	c) Reject	59	Reject	60	tallest
61	c) Can	62	a) He has gone to the market.	63	a) so	64	have done
65	Courageous	66	b) He is writing	67	b) have been	68	Defeat	69	interested
70	b) Appliance

SECTION D – COMPREHENSION (Q71–Q75)

Q.No	Answer
71	Reading
72	Science, History, Literature
73	They admire her dedication.
74	Take part in reading competitions.
75	Ananya loves reading and her teachers encourage her participation in competitions.

SECTION E – GENERAL KNOWLEDGE (Q76–Q100)

Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer	Q.No	Answer
76	New Delhi	77	Tiger	78	Peacock	79	Ganges	80	Jupiter
81	Mango	82	INR	83	Rabindranath Tagore	84	Mahatma Gandhi	85	Dr. Rajendra Prasad
87	Rabindranath Tagore	88	Hockey	89	Jawaharlal Nehru	90	Alexander Graham Bell	91	Howrah Bridge
93	Rajasthan	94	Chandragupta Maurya	95	Hindi	96	Indira Gandhi	97	National Highway 44