Understanding Elementary Shapes (IMO- Mathematics Olympiad Class 6): Questions 7 - 8 of 82

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Question number: 7

» Understanding Elementary Shapes

MCQ▾

Question

In the given figure, points A, O, B are collinear and COD=900 . Find the values of x and y 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 C, BRay g Ray g: Ray through O, ARay h Ray h: Ray through O, ERay i Ray i: Ray through O, DRay j Ray j: Ray through O, APoint C C = (2.72, 3.06) Point C C = (2.72, 3.06) Point C C = (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 A A = (7.7, 5.58) Point A A = (7.7, 5.58) Point A A = (7.7, 5.58) 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) 115? text1 = “115? “22? text2 = “22? “y text4 = “y”x text3 = “x”

Image Made by Some Lines Making Known-Unknown Angles

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

Choices

Choice (4) Response

a.

1300,450

b.

650,1330

c.

850,1100

d.

500,1650

Question number: 8

» Understanding Elementary Shapes

MCQ▾

Question

Find the value of x.

Line f Line f: Line through O, BLine f Line f: Line through O, BLine i Line i: Line through O, DLine i Line i: Line through O, DRay g Ray g: Ray through O, CRay h Ray h: Ray through O, ARay j Ray j: Ray through O, EPoint O O = (5.68, 3.02) Point O O = (5.68, 3.02) Point O O = (5.68, 3.02) Point B B = (8.66, 5.42) Point B B = (8.66, 5.42) Point B B = (8.66, 5.42) Point A A = (10, 3) Point A A = (10, 3) Point A A = (10, 3) Point D D = (2.96, 0.82) Point D D = (2.96, 0.82) Point D D = (2.96, 0.82) Point E E = (9.5, 1.66) Point E E = (9.5, 1.66) Point E E = (9.5, 1.66) Point C C = (5.68, 5.88) Point C C = (5.68, 5.88) Point C C = (5.68, 5.88) (5x 15)? text1 = ” (5x 15)? “ (2x-40)? text2 = ” (2x-40)? “ (3x)? text3 = ” (3x)? “ (2x-35)? text4 = ” (2x-35)? “ (3x-30)? text5 = ” (3x-30)? “

Image Made by Some Lines That Make Unknown Angles

Find the value of x by using given angles

Choices

Choice (4) Response

a.

200

b.

300

c.

650

d.

350

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