Understanding Elementary Shapes (IMO- Mathematics Olympiad Class 6): Questions 34 - 35 of 82

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Question number: 34

» Understanding Elementary Shapes

MCQ▾

Question

In the given figure, points A, O, B are collinear and COD=900 . Find the values of y and z as shown in figure (Figure is now drawn on scale).

Arc c Arc c: Semicircle through G and HArc d Arc d: Semicircle through I and JArc e Arc e: Semicircle through K and LArc k Arc k: Semicircle through M and NLine f Line f: Line through A, BLine f Line f: Line through A, BRay g Ray g: Ray through O, CRay h Ray h: Ray through O, ERay i Ray i: Ray through O, DRay j Ray j: Ray through O, CPoint A A = (2.72, 3.06) Point A A = (2.72, 3.06) Point A A = (2.72, 3.06) Point B B = (10.36, 3.06) Point B B = (10.36, 3.06) Point B B = (10.36, 3.06) Point O Point O: Point on fPoint O Point O: Point on fPoint O Point O: Point on fPoint C C = (8.9, 5.24) Point C C = (8.9, 5.24) Point C C = (8.9, 5.24) Point E E = (8.9, 0.38) Point E E = (8.9, 0.38) Point E E = (8.9, 0.38) Point D D = (9.88, 1.7) Point D D = (9.88, 1.7) Point D D = (9.88, 1.7) 55? text1 = “55? “18? text2 = “18? “z text4 = “z”y text3 = “y”

Image of Some Lines Making Known-Unknown Angles

Showing the image of some lines making known-unknown angles then find angles y and z

Choices

Choice (4) Response

a.

1150,1280

b.

1300,1330

c.

1250,1270

d.

1050,1200

Question number: 35

» 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

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