IMO- Mathematics Olympiad Class 6: Questions 466 - 467 of 1049

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Question number: 466

» Understanding Elementary Shapes

MCQ▾

Question

In the figure, not drawn to scale, ABC is a right-angled triangle. Find ∠DBC.

Arc c Arc c: Semicircle through F and GArc d Arc d: Semicircle through H and IArc e Arc e: Semicircle through J and KLine f Line f: Line through A, BLine f Line f: Line through A, BLine g Line g: Line through B, CLine g Line g: Line through B, CLine h Line h: Line through B, DLine h Line h: Line through B, DLine i Line i: Line through B, ELine i Line i: Line through B, EPoint A A = (5.88, 5.44) Point A A = (5.88, 5.44) Point A A = (5.88, 5.44) Point B B = (5.86, 2.04) Point B B = (5.86, 2.04) Point B B = (5.86, 2.04) Point C C = (9.74, 2.06) Point C C = (9.74, 2.06) Point C C = (9.74, 2.06) Point D D = (9.26, 3.92) Point D D = (9.26, 3.92) Point D D = (9.26, 3.92) Point E E = (7.7, 5.2) Point E E = (7.7, 5.2) Point E E = (7.7, 5.2) 34? text1 = “34? “? text2 = “? “18? text3 = “18? “

Image of Four Lines Making a Right-Angled Triangle

Showing an image of four lines making a right-angled triangle ABC

Choices

Choice (4) Response

a.

440

b.

380

c.

320

d.

410

Question number: 467

» Understanding Elementary Shapes

MCQ▾

Question

The measure of ∠BOI in the following figure is

Arc c Arc c: Semicircle through C and HRay f Ray f: Ray through O, ARay g Ray g: Ray through O, BRay k Ray k: Ray through O, IPoint O O = (5.28, 2) Point O O = (5.28, 2) Point O O = (5.28, 2) Point A A = (9.32, 2) Point A A = (9.32, 2) Point A A = (9.32, 2) Point B B = (4.02, 4.82) Point B B = (4.02, 4.82) Point B B = (4.02, 4.82) Point I I = (1.52, 2) Point I I = (1.52, 2) Point I I = (1.52, 2) 116? text2 = “116? “

Image of Three Lines Making One Unknown Angle

Showing the image of three lines making two angles so find the angle BOI

Choices

Choice (4) Response

a.

640

b.

800

c.

740

d.

340

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