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MOCK TESTOLYMPIAD

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1 Sunil wrote an equation as m

= 45

.

Which of these is the statement for Sunil’sequation ? [ ]

(A) One-fifth of ‘m’ is 4.

(B) One-fifth of a number is 5.

(C) One-fourth of ‘m’ is 4.

(D) One-fourth of a number is 4.

2 The hypotenuses of four congruent isoscelesright triangles serve as the sides of a square, asshown. If the area of that (unshaded) square is18 sq.cm, find the area of the shaded region. [ ]

(A) 36 sq.cm

(B) 27 sq.cm

(C) 18 sq.cm

(D) 19 sq.cm

3 What is the value of the expression7 – [13 – {–2 – 6 (6 of –5)}] ? [ ]

(A) –172 (B) 180 (C) 172 (D) 0

4 The vertical angle of an isosceles trianglemeasures (5p – 18)o and one of the base anglesmeasure 3po. What is the value of p ? [ ]

(A) 24 (B) 15 (C) 18 (D) 12

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5 How many sixteenths are there in the resultant

of ⎡ ⎤ ⎛ ⎞⎛ ⎞

⎜ ⎟ ⎜ ⎟⎢ ⎥⎝ ⎠ ⎝ ⎠⎣ ⎦1 1 1 3

3 1 28 6 12 2

− + + − × − ? [ ]

(A) − 97 (B) 16 (C) 97 (D) 96

6 What is the arithmetic mean of 1, 2,..., 9, 10 ? [ ]

(A) 5.5 (B) 6 (C) 7.5 (D) 10

7 By how much is a2 – 2ab + b2 less thana2 + 2ab + b2 ? [ ]

(A) (a + b)2 (B) (a – b)2 (C) –4ab (D) 4ab

8 Of all the line segments that can be drawn toa given line from a given point outside it,which angle of inclination has the shortestlength ? [ ]

(A) 55o (B) 60o (C) 70o (D) 65o

9 Express ⎡ ⎤ ⎡ ⎤⎛ ⎞ ⎛ ⎞⎢ ⎥ ⎢ ⎥⎜ ⎟ ⎜ ⎟⎝ ⎠ ⎝ ⎠⎣ ⎦ ⎣ ⎦

− − −− ÷ +1 1 1 14 6 3 2 in the simplest

form. [ ]

(A)−23 (B)

12

(C)23 (D)

−12

10 Which figure could be made if the piece ofcardboard shown below is folded along thedotted lines ? [ ]

(A) (B) (C) (D)

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11 If m na a÷ = n m

1

a − and all exponents are positive,

then which of the following is true ? [ ]

(A) m = n (B) m > n (C) m < n (D) m = n = 0

12 Which option has both multiple line androtational symmetries ? [ ]

(A) S (B) H (C) L (D) O

13 What is the difference between the biggestand the smallest fraction in the following ? [ ]

2 4 5 3, , ,

3 5 6 4

(A)1

6(B)

1

20(C)

1

30(D)

1

6

14 In the given figure, what is the measure of q ? [ ]

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(A) 48o (B) 90o (C) 42o (D) 110o

15 In the given figure, ABC is a right angledtriangle where AB = 7 cm and BC = 10 cm.Given that AEB and BCD are quadrants.Find the area of the shaded region. [ ]

(A) 2157 cm

7(B) 82 cm2

(C) 2185 cm

7(D)

2175 cm

7

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16 At what rate percent per annum will a sum ofmoney double in 8 years ? [ ]

(A)1

3 %3

(B)1

12 %2

(C)1

33 %3

(D)1

3 %2

17 Vani wants to prove that FGH JKL∆ ≅ ∆ usingR.H.S. congruency rule. She knows that FG = JKand FH = JL. What additional piece ofinformation does she need ? [ ]

(A) oH = K = 90∠ ∠ (B) oF = G = 90∠ ∠(C) oG = K = 90∠ ∠ (D) oF = J = 90∠ ∠

18 144 beads were shared equally among somechildren. If there were 3 children fewer, eachchild would have 16 beads each. How manychildren were there ? [ ]

(A) 8 (B) 9 (C) 12 (D) 11

19 What is the compound interest on 6000 at10% per annum for one year compoundedhalf-yearly ? [ ]

(A) 1260 (B) 630 (C) 615 (D) 600

20 The length and breadth of a rectangular plotare � and b. Two rectangular paths each ofwidth ‘w’ run inside the plot one parallel to thelength and the other parallel to the breadth.Calculate the total area of the paths. [ ]

(A) (� + w) (b + w) – �b

(B) �b – (� – w) (b – w)

(C) (� + 2w) (b + 2w) – �b

(D) �b – (� – 2w) (b – 2w)

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C A B A C A A B C C D C C C C B C D C D

A B C C C A B C A B A B C A B C B C B C

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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 7

2 2Model Recurring Questions

SERIES

7 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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