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MATHS
O LY M P I A D
Academic Partner WWW.EDUSYS.IN
N I M O
Creating
9
Class
B1
Code
Stories
IMPORTANT INFORMATION
1. You are allowed additional 10 minutes to fill the required 60 minutes. All questions are compulsory. Further
details in the RESPONSE SHEET. instructions are given in the instruction letter to the
2. The question paper is made as per syllabus guidelines & coordinator teacher.
pattern given in the information Booklet. The Question 3. Use the response sheet to mark your responses by darkening
Paper for Classes 1 to 6 contains 25 Questions each to be the required circle. The response sheet has to be returned
answered in 40 minutes. The Question paper for classes to the foundation, duly filled in. The student can retain the
7 to 12 contains 50 Questions each to be answered in Question Paper.
MENTAL ABILITY
(3) (4) None of these
1. It takes an hour for a saree to dry in sunlight. In how much
time can 25 sarees dry in the same sunlight?
(1) 1 hour (2) 12 hours 4. A train takes 5 seconds to pass an electric pole. If the length
(3) 6 hours (4) None of these of the train is 120 metres, the time taken by it to cross a
railway platform 180 metres long, is :
2. Find the next option in the sequence given.
1 1
(1) 12 seconds (2) 7 seconds
2 2
1
(3) 6 seconds (4) None of these
2
(1) (2) 5. A class starts at 10 A. M. and lasts till 1.27 P.M. Four
periods are held during this interval. After every period, 5
minutes are given free to the students. The exact duration
(3) (4) None of these of each period is :
(1) 42 minutes (2) 48 minutes
(3) 51 minutes (4) None of these
3. You are given a figure (X) followed by three figures (1),
(2) and (3) such that (X) is embedded in one of them. Trace 6. One litre of water weighs 1 kg. How many cubic millimeters
out the correct alternative. of water will weigh 0.1 gram?
(1) 10 (2) 100
(3) 0.1 (4) None of these
(X) 7. Which number fits into the empty box?
5 6 8 4 5 7 3 4 6
12 20 36 11 19 35 10 18
(1) (2) (1) 32 (2) 34
(3) 30 (4) None of these
NIMO/CLASS 9 SetB1 1
8. Which number follows next? t
æ r ö
17. Compound Interest = P çè 1 + ÷ -x
0 3 8 15 100 ø
What is x :
(1) 21 (2) 23 (1) t(time) (2) P(Principal)
(3) 24 (4) None of these (3) r(rate) (4) None of these
9. Which number continues the sequence? For the next two questions :
1 5 13 29 At a birthday party out of 53 children, 8 children have
(1) 65 (2) 60 neither ice cream nor cold drink. If 30 children have ice
(3) 61 (4) None of these cream and 23 children have cold drinks, find :
10. Pointing to a man in a photograph, a woman said, “His 18. How many children have only ice cream?
brother’s father is the only son of my grandfather.” How is (1) 20 (2) 22
the woman related to the man in the photograph? (3) 18 (4) None of these
(1) Mother (2) Aunt 19. How many children have only cold drinks?
(3) Sister (4) None of these (1) 15 (2) 20
(3) 16 (4) None of these
MATHEMATICS
20. 6 24 ¸ 2 6 =
(1) 6 12 (2) 6
11. Find x
4 -3 x
(3) 3 3 (4) None of these
æ 2ö æ 2ö æ 3 ö
çè - ÷ø ¸ çè - ÷ø = ç- ÷
è 2 ø
3 3 7
21. =
(1) –7 (2) 7 5 - 3
(3) 1 (4) None of these
5 + 3 7 5 + 7 3
(1) (2)
12. (x 2
)(
- y 2 4 x 3 - y 3 ) 2 2
(1) 4 x 5 - x 2 y 3 - 4 x 3 y 2 + y 5 7 5 - 7 3
(3) (4) None of these
5 2
(2) 4 x + x y - 4 x y + y 3 3 2 5 2
(3) 4 x 5 - x 2 y 3 + 4 x 3 y 2 + y 5 1
22. In a village consisting of 150 females and 100 males, of
(4) None of these 15
13. Ashna read 0.25 part of a book on the first day, 0.35 part 1
on the second day, and 160 pages to finish reading the book, all females and of all males are graduates. What fraction
10
on the third day. How many pages were there in the book? of all the villagers are graduates?
(1) 300 (2) 400
3 2
(3) 800 (4) None of these (1) (2)
25 25
-5 -11 8 x
æ 2ö æ 2ö æ 2 ö 4
14. Find x so that çè ÷ø ´ç ÷ =ç ÷ (3) (4) None of these
3 è 3ø è 3 ø 25
(1) 2 (2) –2 23. 10% of a cold drink is orange concentrate while the rest is
(3) 4 (4) None of these
water. If there is 304 ml more of water than orange
15. A cubical box of volume 13,824 cubic cm is put in a cubical concentrate, find the volume of the cold drink.
room of side 2.4 m. How many such boxes can be put in (1) 380 ml (2) 304 ml
the room? (3) 330 ml (4) None of these
(1) 2000 (2) 1000 24. The price of onions rises 25% and then falls 25%. What is
(3) 100 (4) None of these the net rise or fall percent in the price of onions?
(1) 6.25% rise (2) 6.25% fall
16. What is remainder when ( 14 x 2
- 29 xy - 18 y 2
) ¸ ( 2 x - y
5 ) (3) 62.5% fall (4) None of these
(1) 2 x + 5 y (2) 3y 2 25. If a plastic chair is being sold at a 35% profit for Rs 202.50,
at what price had it been bought?
(3) - 3y 2 (4) None of these (1) 150 Rs (2) 200 Rs
(3) 100 Rs (4) None of these
2 SetB1 NIMO/CLASS 9
4
26. If 24 pears cost Rs 163.20, how much would 18 pears cost? æ 1 5 ö
(1) Rs. 132.40 (2) Rs. 102.40 3
çè ÷ø
(3) Rs. 122.40 (4) None of these 36. What is the simplified form of the expression 1 1
27. A 9 m long bus goes past a lamppost in 1.2 seconds. At 1 2 5 × 2 5
what speed was the bus travelling? 4 3
(1) 22 km/hr (2) 30 km/hr æ 3 ö 3 æ 3 ö 5
(1) ç ÷ (2) ç ÷
(3) 27 km/ hr (4) None of these è 2 ø è 2 ø
1
28. Given that x + y = 13 and xy = 40, find the value of x – y. æ 3 ö 2
(1) 6 (2) 3 (3) ç ÷ (4) None of these
è 2 ø
(3) 9 (4) None of these
1 1 1
29. The sum of the two digits of a 2digit number is 7. When 37. If x 3 + y 3 + z 3 = 0, then
the digits are reversed, the number increases by 27. Find
the original number. (1) x3 + y 3 + z 3 = 27 xyz (2) x + y + z = 27 xyz
(1) 52 (2) 25 3
(3) ( x + y + z ) = 27 xyz (4) None of these
(3) 50 (4) None of these
30. Which of the following quadratic equations have roots 2 38. Point of intersection of the line x + y = 1 and 2x + 2y = 4 are
and –4. (1) (1, 1) (2) (1, 0)
(3) No intersection point (4) None of these
(1) x - 2 x + 8 = 0
2
(2) x - 2 x - 8 = 0
2
(3) x 2 + 2 x - 8 = 0 (4) None of these 39. If XY is a straight line, then what is the measure of ÐROY ?
31. Find the value of x P Q
R
x
+ 12
3 x x
5x 2x
x
X O Y
(1) 60° (2) 50°
(1) 63° (2) 126° (3) 40° (4) None of these
(3) 185° (4) None of these
40. In a DPQR, ÐP = 45° , and ÐQ = 70° , then the shortest and
3 3
32. The value of ( x + 3 ) - ( x - 3 ) is longest sides of the triangle are
(1) 18 x 2 + 54 (2) 1 - x 3 (1) PQ, QR (2) QR, PR
(3) PQ, PR (4) None of these
(3) 3 x 2 - 5 (4) None of these
INTERACTIVE SECTION
INTERACTIVE SECTION
33. The value of x, for which ax2 - c = 0. Choose the best option.
41. Can you recognize a pattern for the total number of oranges
c a in a row? Now find the missing number.
(1) ± (2) ±
a c
Rows 1 2 3 4 5 6
(3) Both (1) & (2) (4) None of these Total orang es 1 3 6 10 15
34. Total area of quadrilateral ABCD is 20 cm 2 and offsets on (1) 20 (2) 22
BD are 2 cm and 3 cm. The length of BD is (3) 21 (4) None of these
D C For questions 42 and 43 :
E 3 cm The distribution of land in Dreamscape Housing Society
2 cm is shown in the pie chart below:
F
A B
Apartments
(1) 5 cm (2) 6 cm
(3) 8 cm (4) None of these 234°
36°
Community
58 2 - 42 2 90° centre and
35. =
16 Greenery swimming pool
(1) 90 (2) 100
(3) 1 (4) None of these Given that the total land area in the housing society is
162000 m 2 .
NIMO/CLASS 9 SetB1 3
42. What is the area occupied by Apartments? For the next two questions.
(1) 10,530 m 2 (2) 1,05,300 m 2
(3) 1,053 m 2
(4) None of these The given histogram shows the amount spent on auto fare
daily by the employees of a certain company.
43. What is the area occupied by Greenery?
(1) 405 m 2 (2) 45,000 m 2 Y
2
(3) 40, 500 m (4) None of these
Number of employees
For the next two questions : 120
The given pie chart gives the marks scored in an 100
examination by a student in English, Hindi, Science & 80
Technology, Social Science and Mathematics. If the total 60
marks obtained by the student were 540. 40
20
O 30 60 90 X
sh
gli
En Mathematics Amount spent on
55° 90° auto fare daily
Hindi 70°
65° Social
80°
Science 48. How many employees spent less than Rs. 90 per day on
Science &
Technology
auto fare?
(1) 130 (2) 140
(3) 150 (4) None of these
44. Maximum marks is scored in
(1) Maths (2) Science & Technology 49. How many spent between 90 & 150?
(3) Hindi (4) None of these (1) 90 (2) 100
(3) 110 (4) None of these
45. Total marks scored in English and Social Science is
(1) 120 (2) 180 50. A group of 40 students is randomly selected from a
(3) 210 (4) None of these particular school. The given frequency distribution table
shows the blood groups of these students.
46. In the given figure, D OAB is an equilateral triangle. C is a
point on the minor arc AB such that AC = BC. Blood group Number of students
A 11
B 9
O 15
O
AB 5
Total number of students 40
A B Persons having O blood group are known as universal
donors.What is the probability that a randomly chosen
C student is a universal donor?
What is the measure of Ð CAB
(1) 10° (2) 15° 7 3
(1) (2)
(3) 20° (4) None of these 9 8
47. What is the measure of Ð Q PR 5
(3) (4) None of these
13
Q
S
O 80°
P 30°
T
R
(1) 25° (2) 35°
(3) 50° (4) None of these
END OF THE EXAM
4 SetB1 NIMO/CLASS 9
