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India’s FIRST scientifically designed portal
for Olympiad preparation
� Olympiad & Talent Exams preparation packages
Analysis Reports Previous question papers � �
Free Demo Packages Free Android Mobile App� �
YOUR
COACH
A unique opportunity to take about 50 tests per subject.
Brain Mapping Academy
More Practice - More Score
B2 2a + 2ab + b
( )m
mn na a=
( (
This 'Mock Test 20-20 series' provides students,
the rigorous practice they need to prepare for any Olympiad,
through carefully designed 'Multiple Choice Questions'.
Every book in this series contains
20 test papers, each of 20 questions.
This readies the students
for confidently tackling different types of questions
and prepares them adequately for
any Regional / National / International Olympiad.
www.bmatalent.com
` 100
l Key to all test papers
l Evaluation sheet for performance analysis of each test.
l for diagnosing grades in each chapter.‘Unique Diagnostic Table’
l Grid for drawing graph of your overall preparedness.
The salient features of this series :
( (
MOCK TESTOLYMPIAD
MATHEMATICS
Class 9
2 2Model Recurring Questions
SERIES
9 B
MA’s O
lym
pia
d M
ock
Test 2
0-2
0 S
erie
s - MA
TH
EM
ATIC
S
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Published by :
Brain Mapping Academy#16�11�16/1/B, first floor, Farhath Hospital Road,Saleem Nagar, Malakpet, Hyderabad�500036.✆ 040�66135169, 65165169.E�mail : [email protected] : www.bmatalent.com
Brain Mapping Academy© All Rights reservedNo part of this book may be reproduced, stored in a retrieval system ortransmitted in any form or by any means, electronic, mechanical, photocopying,recording or otherwise without the prior written permission of the publisher.
ISBN : 978-93-82058-83-0
Disclaimer :Every care has been taken by the compilers and publishers to give correct, completeand updated information. In case any omission, printing or any other error has creptin inadvertently, neither the compiler/publisher nor any of the distributors take anylegal responsibility.In case of any dispute, all matters are subjected to the exclusivejurisdiction of the courts in Hyderabad, India, only.
Printed at :
Sri Vinayaka Art Printers, Hyderabad.
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ContentsPage No.
Mock Test Paper 1 ....... 5
Mock Test Paper 2 ....... 9
Mock Test Paper 3 ....... 13
Mock Test Paper 4 ....... 17
Mock Test Paper 5 ....... 21
Mock Test Paper 6 ....... 25
Mock Test Paper 7 ....... 29
Mock Test Paper 8 ....... 33
Mock Test Paper 9 ....... 37
Mock Test Paper 10 ....... 41
Mock Test Paper 11 ....... 45
Mock Test Paper 12 ....... 49
Mock Test Paper 13 ....... 53
Mock Test Paper 14 ....... 57
Mock Test Paper 15 ....... 61
Mock Test Paper 16 ....... 65
Mock Test Paper 17 ....... 69
Mock Test Paper 18 ....... 73
Mock Test Paper 19 ....... 77
Mock Test Paper 20 ....... 81
OMR Response Sheets ....... 84
Diagnostic Table ....... 94
Key ....... 96
Preparedness Graph ....... 97
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Class 9 - Mathematics Mock Test Paper 18
Brain Mapping Academy 73
Fill the correct options here and finally in OMR response sheet.
Paper
18 Mock TestCLASS - 9
MATHEMATICS
1 ∠ ABC and ∠ BDC are right angles. If AD = 9 cm,DC = 16 cm and AB = 15 cm, find length of BD. [ ]
(A) 12 cm(B) 16 cm(C) 15 cm(D) 25 cm
2 Find the value of
11+ 2
+1
2 + 3 + ......... +
1120 + 121
. [ ]
(A) 120 (B) 10 (C) 12 12 D) 8
3 If the altitude of an equilateral triangle is6 cm, what is its area? [ ]
(A) 2 3 cm2 (B) 2 2 cm2
(C) 3 3 cm2 (D) 6 2 cm2
4 Given that m – n = 4 and m + n = 8,find the value of m. [ ]
(A) 2 (B) 4 (C) 6 (D) 12
5 ∆ ABC ≅ ∆ PQR, if AB = 5 cm, ∠ B = 40o and∠ A = 80o, which of the following is true? [ ]
(A) QP = 5 cm, ∠ P = 60o (B) QP = 5 cm, ∠ R = 40o
(C) QP = 5 cm, ∠ R = 60o (D) QP = 5 cm, ∠ Q = 40o
D
CB
A
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Class 9 - Mathematics Mock Test Paper 18
Brain Mapping Academy74
6 The points P(3, p) & Q(q, 5) represent the samepoint R. What are the respective values of p & q ? [ ]
(A)5 and 3 (B) –5 and 3(C) 3 and 5 (D) 3 and –5
7 Two cylinders of same volume have theirheights in the ratio 1 : 3. Find the ratio oftheir radii [ ]
(A) 2 : 5 (B) 1 : 3 (C) 3 : 1 (D) 3 : 1
8 1000 tickets of a lottery were sold and thereare 5 prizes on these tickets. If Monu haspurchased one lottery ticket, what is herprobability of winning a prize ? [ ]
(A) 0.005 (B) 0.75 (C) 0.055 (D) 0.5
9 ABCD is a quadrilateral. BE||AC. BE meets DC(produced) at E. AE and BC intersect at O.Identify the correct statement. [ ]
A
C ED
B
O
(A) ABEC is a parallelogram(B) ar(AOC) = ar(BOE)(C) ar(OAB) = ar(OCE)(D) ar(ABE) = ar(ACE)
10 What are the groups into which large data iscondensed called ? [ ]
(A) Class limits (B) Classes(C) Class size (D) Class width
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Class 9 - Mathematics Mock Test Paper 18
Brain Mapping Academy 75
11 In the given figure, ∠ OB = 125 , what is themeasure of ∠E ? [ ]
A
B
D C
E
(A) 550 (B) 1250 (C) 1300 (D) 62.50
12 If AC = PQ and CP = BQ, find the midpoint ofthe line segment AB. [ ]
(A) P (B) Q (C) C (D) B
13 A triangle and a rhombus are on the same baseand between the same parallels. Find the ratioof the areas of the triangle and the rhombus. [ ]
(A) 1 : 1 (B) 1 : 2 (C) 1 : 3 (D) 1 : 4
14 If (x – 2) is a common factor of x3 – 4x2 + ax + band x3 – ax2 + bx + 8, what are the values ofa and b are respectively ? [ ]
(A) 3 and 5 (B) 2 and –4 (C) 4 and 0 (D) 0 and 4
15 A reservoir 30 m long, 15 m broad is filled withwater. How many gallons of water must betaken out to lower the level of water by 4 m ? [ ]
(A) 342000 (B) 364200 (C) 324000 (D) 386400
16 A ball rises to th3
4 of the height from which it is
dropped at every bounce. If the ball is droppedfrom a height of 32 m, how high will it riseafter the third bounce ? [ ]
(A)114 m2
(B)113 m2
(C) 13 m (D) 14
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Class 9 - Mathematics Mock Test Paper 18
Brain Mapping Academy76
2
5
6
x
17 If 6 =2.449, find the closest value of 3 22 3
. [ ]
(A) 1.225 (B) 0.816(C) 0.613 (D) 2.449
18 The perimeters of two similar triangles are81 cm and 63 cm respectively. If one side ofthe first triangle is 18 cm, find thecorresponding side of the smaller triangle. [ ]
(A) 14 cm (B) 18 cm
(C) 13 cm (D) 15 cm
19 A circle is divided into four arcs of lengths2, 5, 6 and x. Arc 2 has a measure of 30o.Find the measure of arc x. [ ]
(A) 8(B) 9(C) 10(D) 11
20 Area of a parallelogram ABCD is 432 cm2. IfBCP AD and the distance between BC and ADis 20 cm, what is the measure of the sideBC of parallelogram ABCD ? [ ]
(A) 43.2 cm (B) 10.8 cm(C) 18.2 cm (D) 21.6 cm
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Tota
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Tota
lC
hap
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12
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56
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Mo
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1112
1314
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Question Numbers
Tria
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37 31 33 36 20 39 21 34
55
57
64
614
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65
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1815
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78
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98
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1918
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Class 9 - Mathematics Key
Brain Mapping Academy96
KeyTestNo. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Question Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
B A B B B A B A C C A A C C A B D A B A
A C B D C B D C D A A D B B A B C C C A
D C A D D D C B C A C D C D B C C B C C
D C C A D D A B A C C A D C C A C C B A
A C B B C D C B B A D D A C C A B D A D
A B C B B B C A D D B A A A D D B D C B
A A C A D C B A C D A A A C C A A D B A
C B B D D B C B C C C C A D C D B D C B
A A B D C C A A A A B B C A C B C C D D
B D C C D C C B C D C D C A C D C B D C
A A C C A D A B C A A A B D D A A A B D
C D A A B B C D A C C A C C B D C A D C
B A C D C D D B D B D D C A C A C B A D
B B D A B B B B A C A D C A C C C D C B
A A A A C D D C D C C B C A B B D C B A
D A A C C D B A B B D D B D D B D A C B
B B B A C B B A D B B C D C B C C B B A
A B A C D A D A C B A A B C C B D A D D
D D A A C B B A A A C A C C C A B D C B
B A A C C A D A C D B B B A A B C A B A
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n Excellent source of important concepts and objective questions for Mathematics and Science Olympiads / NTSE / NSTSE / S c h o l a r s h i p Te s t s a n d o t h e r International, National and State competitive examinations.
n Exhaustive range of skill, reasoning and application based questions.
n Synopsis of each chapter with hints, solutions and explanations for complicated concepts. Separate book for each class.
Must for all Science & Maths Talent Exams & Olympiads
VIII IX X
110
110
Rs.200
Rs.200
Class
Maths
`
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IIIIII
110
110
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110
110
110
IV V VI VII VIII IX X
110
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130
130
130
130
130
130
130
130
130
130Science
SOLD Over
2.5 Millioncopies of this series since the 1st Edition
Brain Mapping Academy
Must For All Science Talent Search Exams & Olympiads
GENERAL SCIENCE
Revised Edition
Strong Foundation forBetter Results
SOLD Over
2.5 Millioncopies of this series since the 1st Edition
Brain Mapping Academy
BMA’S
Must For All Maths Talent Search Exams & Olympiads
MATHEMATICS
Revised Edition
Strong Foundation forBetter Results
Talent & Olympiad Exams Resource Book
Pre
par
ed
ne
ss G
rap
h
12
1234567891011121314151617181920
34
56
78
910
1112
1314
1516
1718
1920
Mo
ck T
est
Pap
er
Score
BMA’s
Trainer Plus
TM FOUNDATION OLYMPIAD &
Class 2 to 8 Class 1 to 10 Class 6 to 10
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Class 1 to 10Useful for
Class 1 to 5
online payment facility is available at www.bmatalent.com
Useful for Class 6 to 10
Handbook of MathematicsHandbook of Physics & Chemistry
Handbook of Biology
www.bmata
lent.c
om
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India’s FIRST scientifically designed portal
for Olympiad preparation
� Olympiad & Talent Exams preparation packages
Analysis Reports Previous question papers � �
Free Demo Packages Free Android Mobile App� �
YOUR
COACH
A unique opportunity to take about 50 tests per subject.
Brain Mapping Academy
More Practice - More Score
B2 2a + 2ab + b
( )m
mn na a=
( (
This 'Mock Test 20-20 series' provides students,
the rigorous practice they need to prepare for any Olympiad,
through carefully designed 'Multiple Choice Questions'.
Every book in this series contains
20 test papers, each of 20 questions.
This readies the students
for confidently tackling different types of questions
and prepares them adequately for
any Regional / National / International Olympiad.
www.bmatalent.com
l Key to all test papers
l Evaluation sheet for performance analysis of each test.
l for diagnosing grades in each chapter.‘Unique Diagnostic Table’
l Grid for drawing graph of your overall preparedness.
The salient features of this series :
( (
MOCK TESTOLYMPIAD
MATHEMATICS
Class 9
2 2Model Recurring Questions
SERIES
9 B
MA’s O
lym
pia
d M
ock
Test 2
0-2
0 S
erie
s - MA
TH
EM
ATIC
S
www.bmata
lent.c
om
(Free Sam
ple)