International Maths Olympiad Forum By SOF Olympiad Trainer - Page 94

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 4

Fill in the blanks and select the CORRECT option.
(i) The number 82564 when rounded off to nearest thousands becomes
__(P)__ .
(ii) __(Q)__ will be added to 56492, to make 98492.
(iii) Difference between largest 5-digit number and smallest 6-digit number is __(R)__ .

(P) (Q) (R)
A 8000 4000 1
B 80000 4200 1
C 8000 42000 1
D 83000 42000 1


Ans 1:

Class : Class 5

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Subject :IMO    Class : Class 4

Read the given statements carefully and state T for true and F for false.
(i) Roman numeral for largest 3-digit number is CMXCIX.
(ii) The sum of face value of 8 and 6 in the number 85642 is 100.
(iii) The largest 5-digit number formed from the digits 9, 6, 0, 5, 2 (without repetition) is 95062.

(i) (ii) (iii)
A T T F
B T F T
C T F F
D F T T


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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 5

Ans 1:

Class : Class 4
what the logic in calculating values of P

Ans 2:

Class : Class 8

Ans 3:

Class : Class 5
So this is actually not correct as Q = 125618 560715 = 686333 and P = 4006891 125618 = 532509. After this we have to find the value of Q - P this then = 686333 - 532509 = 153824. So this question is not correct

Ans 4:

Class : Class 6
????

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Subject :IMO    Class : Class 8

Arrange the following steps in correct order in constructing a quadrilateral PQRS, given PS = 3.2 cm, PQ = 5.6 cm, ∠P = 60°, ∠Q = 75° and ∠R = 90°.
Step 1: At Q, draw ∠YQP = 75°, so that YQ intersects MS at R.
Step 2: With P as centre and radius 3.2 cm, draw an arc to cut PX at S.
Step 3: Draw PQ = 5.6 cm.
Step 4: At P, draw ∠XPQ = 60°.
Step 5: At S, draw ∠MSP = 135°.

A3, 4, 1, 5, 2
B3, 1, 2, 5, 4
C3, 2, 1, 5, 4
D3, 4, 2, 5, 1


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Subject :IMO    Class : Class 2

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 9

Ans 1:

Class : Class 9
Zero polynomial has infinite zeros(roots).

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Subject :IMO    Class : Class 10

Ans 1:

Class : Class 7

Ans 2:

Class : Class 10
The answer for this question is given A which is Incorrect it is supposed to be option B as in the figure z the paper is cut on both the edges left and right so when we open it up we get 4 quarter circles and 4 cuts on the circumference

Ans 3:

Class : Class 10

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