IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 473 - 476 of 1059

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Question number: 473

» Understanding Elementary Shapes

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MCQ▾

Question

Find the value of x in the figure, where AB and CD intersect at O.

Arc cArc c: Semicircle through E and FArc dArc d: Semicircle through G and HLine fLine f: Line through A, BLine fLine f: Line through A, BLine gLine g: Line through C, DLine gLine g: Line through C, DPoint AA = (3,5) Point AA = (3,5) Point AA = (3,5) Point BB = (9,1.52) Point BB = (9,1.52) Point BB = (9,1.52) Point CC = (8.88,5.16) Point CC = (8.88,5.16) Point CC = (8.88,5.16) Point DD = (2.94,1.28) Point DD = (2.94,1.28) Point DD = (2.94,1.28) Point OPoint O: Intersection point of f, gPoint OPoint O: Intersection point of f, gPoint OPoint O: Intersection point of f, g(5x 110)?text1 = ” (5x 110)? “(7x 80)?text2 = ” (7x 80)? “

Image of Two Intersecting Lines at Point O

Choices

Choice (4)Response

a.

17

b.

15

c.

25

d.

12

Question number: 474

» Understanding Elementary Shapes

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MCQ▾

Question

is perpendicular to is symbolically written as

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 475

» Understanding Elementary Shapes

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MCQ▾

Question

In an isosceles , the bisectors of and meet at X. If , then is equal to

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 476

» Understanding Elementary Shapes

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MCQ▾

Question

In the figure, AB and CD are parallel and JK is the transversal intersecting them at O and P. If , find and respectively.

Arc cArc c: Semicircle through E and FArc dArc d: Semicircle through I and LArc eArc e: Semicircle through M and NLine fLine f: Line through A, BLine fLine f: Line through A, BLine gLine g: Line through C, DLine gLine g: Line through C, DLine hLine h: Line through J, KLine iLine i: Line through O, PPoint AA = (3.9,3.4) Point AA = (3.9,3.4) Point AA = (3.9,3.4) Point BB = (9.64,3.4) Point BB = (9.64,3.4) Point BB = (9.64,3.4) Point CC = (3.84,1.76) Point CC = (3.84,1.76) Point CC = (3.84,1.76) Point DD = (9.66,1.76) Point DD = (9.66,1.76) Point DD = (9.66,1.76) Point JJ = (8.84,5.2) Point JJ = (8.84,5.2) Point JJ = (8.84,5.2) Point KK = (4.76,0.22) Point KK = (4.76,0.22) Point KK = (4.76,0.22) Point OPoint O: Intersection point of f, hPoint OPoint O: Intersection point of f, hPoint OPoint O: Intersection point of f, hPoint PPoint P: Intersection point of g, hPoint PPoint P: Intersection point of g, hPoint PPoint P: Intersection point of g, h140?text1 = “140? “

Image of One Line JK Intersecting Two Parallel Lines

Choices

Choice (4)Response

a.

b.

c.

d.

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