IMO- Mathematics Olympiad Class 6: Questions 392 - 393 of 1049

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Question number: 392

» Understanding Elementary Shapes

MCQ▾

Question

In the figure, not drawn to scale, XYZ is a right-angled triangle. Find XYV that is double of XYW.

Arc c Arc c: Semicircle through L and MArc d Arc d: Semicircle through N and OArc e Arc e: Semicircle through P and QLine f Line f: Line through X, YLine f Line f: Line through X, YLine g Line g: Line through Y, ZLine g Line g: Line through Y, ZLine h Line h: Line through Y, WLine h Line h: Line through Y, WLine i Line i: Line through Y, VLine i Line i: Line through Y, VPoint X X = (5.88, 5.44) Point X X = (5.88, 5.44) Point X X = (5.88, 5.44) Point Y Y = (5.86, 2.04) Point Y Y = (5.86, 2.04) Point Y Y = (5.86, 2.04) Point Z Z = (9.74, 2.06) Point Z Z = (9.74, 2.06) Point Z Z = (9.74, 2.06) Point W W = (7.46, 5.2) Point W W = (7.46, 5.2) Point W W = (7.46, 5.2) Point V V = (3.12, 4.7) Point V V = (3.12, 4.7) Point V V = (3.12, 4.7) ? text2 = “? “75? text3 = “75? “

Image of Two Angles Making a Right-Angle ABC

Showing an image of two angles making a right-angle ABC

Choices

Choice (4) Response

a.

250

b.

300

c.

500

d.

350

Question number: 393

» Understanding Elementary Shapes

MCQ▾

Question

In the figure, AB and CD are parallel and XY is the transversal intersecting them at R and S. If RSC=1100 , find RSD and XRB respectively.

Arc e Arc e: Semicircle through M and NArc c Arc c: Semicircle through Q and R_1Arc d Arc d: Semicircle through S_1 and TLine f Line f: Line through A, BLine f Line f: Line through A, BLine g Line g: Line through C, DLine g Line g: Line through C, DLine h Line h: Line through X, YLine i Line i: Line through R, SPoint A A = (3.9, 3.4) Point A A = (3.9, 3.4) Point A A = (3.9, 3.4) Point B B = (9.64, 3.4) Point B B = (9.64, 3.4) Point B B = (9.64, 3.4) Point C C = (3.84, 1.76) Point C C = (3.84, 1.76) Point C C = (3.84, 1.76) Point D D = (9.66, 1.76) Point D D = (9.66, 1.76) Point D D = (9.66, 1.76) Point X X = (8.84, 5.2) Point X X = (8.84, 5.2) Point X X = (8.84, 5.2) Point Y Y = (4.76, 0.22) Point Y Y = (4.76, 0.22) Point Y Y = (4.76, 0.22) Point R Point R: Intersection point of f, hPoint R Point R: Intersection point of f, hPoint R Point R: Intersection point of f, hPoint S Point S: Intersection point of g, hPoint S Point S: Intersection point of g, hPoint S Point S: Intersection point of g, h110? text1 = “110? “

Image of One Line XY Intersecting Two Parallel Lines

Showing image of one line intersecting two parallel lines

Choices

Choice (4) Response

a.

300,800

b.

700,600

c.

700,700

d.

1100,700

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