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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.

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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 :

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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




















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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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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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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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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Class 9 - Mathematics Key


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.

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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.


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

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