International Maths Olympiad Forum By SOF Olympiad Trainer - Page 33

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Subject :IMO    Class : Class 7

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 9

State ‘T’ for true and ‘F’ for false and select the correct option.
(i) A triangle whose sides measures 8 cm, 4 cm and 12 cm can be possible.
(ii) It is possible to construct an angle of 57.5° using ruler and compass only.
(iii) It is possible to construct a ΔXYZ in which ∠X = 60°, ∠Y = 100° and ∠Z = 20°.

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


Correct option is not there as (i) is false, (ii) is false, while (iii) is true

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Subject :IMO    Class : Class 8

Arrange the steps of construction while constructing a quadrilateral ABCD given AB = 5 cm,
BC = 3 cm, CD = 10 cm, AD = 6 cm and ∠A = 45°.
Step 1 : With A as centre and radius 6 cm, draw an arc to cut AX at D.
Step 2 : With D as centre and radius 10 cm, draw an arc.
Step 3 : Draw AB = 5 cm and construct ∠BAX = 45°.
Step 4 : With B as centre and radius 3 cm, draw an arc to cut the previous arc at C.

A 3, 2, 1, 4
B 3, 1, 2, 4
C 2, 1, 3, 4
D 4, 1, 3, 2


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Subject :IMO    Class : Class 7

Read the given statements carefully and state 'T' for true and 'F' for false.
(i) If the simple interest on a sum is equal to the principal and number of years is equal to the rate percent per annum, then rate of interest is 10% per annum.
(ii) If a person purchases 12 items for ₹ 36 and sells 10 items for ₹ 36, then the profit % is 15%.
(iii) The percentage decrease in the price of a shirt when it decreased from ₹ 4000 to ₹ 2500 is 15%.

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


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Subject :IMO    Class : Class 4

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 2

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 1

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