International Maths Olympiad Forum By SOF Olympiad Trainer - Page 561

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Subject :IMO    Class : Class 7

Ans 1:

Class : Class 7
(1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*(1-1/6)*(1-1/7)*(1-1/8)*(1-1/9)*(1-1/10), first solve the brackets, we will get 1/2*2/3*3/4*4/5*5/6*6/7*7/8*8/9*9/10, cancel 2 in 1/2 and 2/3, cancel 3 in 2/3 and 3/4, cancel 4 in 3/4 and 4/5, cancel 5 in 4/5 and 5/6, cancel 6 in 5/6 and 6/7, cancel 7 in 6/7 and 7/8, cancel 8 in 7/8 and 8/9, cancel 9 in 8/9 and 9/10, now we will get 1/1*1/1*1/1*1/1*1/1*1/1*1/1*1/1*1/1*1/10, then multiply1*1*1*1*1*1*1*1*1*1/1*1*1*1*1*1*1*1*1*10, then we will get the answer as 1/10, so option C is correct.

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Subject :IMO    Class : Class 4

Ans 1:

Class : Class 5
Answer is D as the question says to find the perimeter, which is (7*2) cm+4 cm+(9*2) cm+15 cm+8 cm+5 cm+(4+5+9) cm=14 cm+4 cm+18 cm+15 cm+8 cm+5 cm+18 cm=82 cm.

Ans 2:

Class : Class 6
oh! yeah it's D

Ans 3:

Class : Class 4
Easy! It's D

Ans 4:

Class : Class 8
d

Ans 5:

Class : Class 5
The correct answer is D

Ans 6:

Class : Class 7

Ans 7:

Class : Class 7
D) 82 cm

Ans 8:

Class : Class 8
The correct answer is D

Ans 9:

Class : Class 8
The answer is D

Ans 10:

Class : Class 4
Option D

Ans 11:

Class : Class 4
missing is 9cm and 18cm which goes accoording to D!

Ans 12:

Class : Class 8
ans is d

Ans 13:

Class : Class 8
The correct answer is D

Ans 14:

Class : Class 3
It’s obviously D!!!

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Subject :IMO    Class : Class 8

Ans 1: (Master Answer)

Class : Class 1
The correct answer is D.

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Subject :IMO    Class : Class 3

Ans 1:

Class : Class 2

Ans 2: (Master Answer)

Class : Class 1
The correct answer is A.

Ans 3:

Class : Class 4

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 8

Ans 1:

Class : Class 8
Answer is C. a^2 ÷ 2 Because diagonals of a square are equal. And area of rhombus formula can be used here because both have all sides equal. Area of rhombus= 1/2(diagonal 1 × diagonal 2) Because diagonals are equal, we write it as : a × a÷ 2 =a^2 ÷2

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Subject :IMO    Class : Class 6

Ans 1:

Class : Class 8
option B

Ans 2:

Class : Class 6
option B

Ans 3:

Class :
B: New number is smaller than original number.

Ans 4:

Class : Class 7
B

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Subject :IMO    Class : Class 4

Ans 1:

Class : Class 5

Ans 2:

Class : Class 4
The answer is C

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Subject :IMO    Class : Class 7

Ans 1:

Class : Class 9
D

Ans 2:

Class : Class 10
Ans is d 20

Ans 3:

Class : Class 7
B

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Subject :IMO    Class : Class 7

Ans 1:

Class : Class 7
D

Ans 2:

Class : Class 9
Angle BAC = x + 40 - x => 40 As triangle ABC is an isosceles triangle with AB = AC, angle acb = angle abc = x Therefore, as angle abc + angle acb + angle bac = 180 then, x + x + 40 = 180 =>2x = 180 - 40 =>2x = 140 =>x = 70

Ans 3:

Class : Class 9
d

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