International Maths Olympiad Forum By SOF Olympiad Trainer

Aprajittabakshi from Vibgyorhigh, Bengaluru

Subject :IMO Class : Class 8

Which of the following statements is CORRECT?

A Length of a side of square and its area vary directly with each other.
B If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.
C The area of circle and its diameter vary directly with each other.
D All of these

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Ans 1:

Yajat from Dps, Bathinda

Class : Class 8

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Tamrashi Pani from National Public School, Bangalore

Subject :IMO Class : Class 5

Find the missing number, if a certain rule is followed in the given figures.

A25
B33
C39
D41

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Tamrashi Pani from National Public School, Bangalore

Class : Class 8

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Ishat from DPS, GURUGRAM

Subject :IMO Class : Class 8

Given below are the steps of construction to construct a quadrilateral ABCD where AB = 3.5 cm, BC = 5.5 cm, CD = 2.4 cm, AD = 6.3 cm and ∠A = 45°. Which of the following steps is INCORRECT ?
Step I : Draw AB = 3.5 cm and construct ∠BAX = 45°.
Step II : With A as centre and radius AD = 6.3 cm, cut off AD = 6.3 cm along AX.
Step III : Join BD. With D as centre and radius 2.4 cm, draw an arc.
Step IV : With B as centre and radius 2.4 cm, draw an arc to cut the arc drawn in above step at C. Join BC, CD to obtain the required quadrilateral ABCD.

AStep I
BStep II
CStep III
DStep IV

the correct answer should be answer D i.e. Step 4.

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Ans 1:

Arnav Diwan from F.A.I.P.S Kuwait, Kuwait

Class : Class 10

Step 4 and 3 both are incorrect

Ans 2:

Ketaki Subhash Ghatol from CSA Satara, Satara

Class : Class 8

Ans 3:

Ayaan jamal from Dddddd, Delhi

Class : Class 5

yes true...cuz the last line which it is telling to construct is not the actual one

Ans 4:

Arnav Diwan from F.A.I.P.S Kuwait, Kuwait

Class : Class 10

4 and 3 both are wrong as in 3rd one it says to join diagonals which is useless and 4th one you know why

Ans 5:

Ambati Daivik from Kendriya Vidyalaya, Dharwad

Class : Class 10

yes the option is D

Ans 6:

Nishchay Gupta from Cambridge Court World School, Jaipur

Class : Class 6

Yes it should be Option (D) Step IV

Ans 7:

Arnav Raj Sharma from GEMS International School the ultra master mega, Gurgaon

Class : Class 7

should be option D

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Shayan Bari from Kendriya Vidyalaya, Katihar

Subject :IMO Class : Class 7

Pointing to a boy in the photograph, Reena said, "He is the only son of the only child of my grandfather". How is Reena related to that boy ?

AMother
BSister
CAunt
DNone of these

Only sons cannot have brothers or sisters.

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Lakshmi from FPS, Bangalore

Subject :IMO Class : Class 6

The given table shows the temperature of a country for 7 consecutive hours.

A17 °C
B29 °C
C21 °C
D25 °C

difference in temp is 23-(-6) that is 29 but 0 to be included then the answer is 30. Think I am correct so the answer is 30 but since 30 is not there nearest number is 29

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Ans 1:

Kavitharini Joseph from HUS, Chennai

Class : Class 6

how?

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Tamrashi Pani from National Public School, Bangalore

Subject :IMO Class : Class 6

If a number is formed by interchanging the digits at tens and thousands places of 7939, then which of the following is CORRECT?

ANew number > Original number
BNew number < Original number
CNew number = Original number
DNone of these