IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 585 - 587 of 1022

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Question number: 585

» Practical Geometry - Lines and Angles

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MCQ▾

Question

In the figure (not drawn to scale), ABCD is a rectangle, . Find y.

Arc dArc d: Semicircle through H and IArc cArc c: Semicircle through R and SArc eArc e: Semicircle through T and USegment fSegment f: Segment [A, B] Segment gSegment g: Segment [B, C] Segment hSegment h: Segment [C, D] Segment iSegment i: Segment [D, A] Segment jSegment j: Segment [A, C] Segment kSegment k: Segment [D, B] Point AA = (7.11,1.05) Point AA = (7.11,1.05) Point AA = (7.11,1.05) Point BB = (7.11,4.54) Point BB = (7.11,4.54) Point BB = (7.11,4.54) Point CC = (4.31,4.54) Point CC = (4.31,4.54) Point CC = (4.31,4.54) Point DD = (4.31,1.05) Point DD = (4.31,1.05) Point DD = (4.31,1.05) Point EPoint E: Intersection point of j, kPoint EPoint E: Intersection point of j, kPoint EPoint E: Intersection point of j, k75â°text1_1 = “75â°”ytext2 = “y”35â°text1_2 = “35â°”

Image Made by a Rectangle ABCD in Which ∠CBE = 75 Degree

Choices

Choice (4)Response

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b.

c.

d.

Question number: 586

» Comparing Quantities

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MCQ▾

Question

What percent of 1 day is 36 minutes?

Choices

Choice (4)Response

a.

2.5%

b.

3.6%

c.

25%

d.

0.25%

Question number: 587

» Practical Geometry - Lines and Angles

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MCQ▾

Question

In the figure (not drawn to scale), AE, DCH and ACG are straight lines, and . Find x and y respectively.

Arc cArc c: Semicircle through I and JArc dArc d: Semicircle through K and QArc eArc e: Semicircle through R and SSegment fSegment f: Segment [A, B] Segment gSegment g: Segment [B, C] Segment iSegment i: Segment [A, E] Segment jSegment j: Segment [F, G] Segment kSegment k: Segment [A, G] Segment lSegment l: Segment [B, H] Segment hSegment h: Segment [C, D] Vector uVector u: Vector [O, P] Vector uVector u: Vector [O, P] Vector u_1Vector u_1: Vector [O_1, P_1] Vector u_1Vector u_1: Vector [O_1, P_1] Point AA = (4.86,0.52) Point AA = (4.86,0.52) Point AA = (4.86,0.52) Point BB = (7.17,2.46) Point BB = (7.17,2.46) Point BB = (7.17,2.46) Point CC = (5.46,2.48) Point CC = (5.46,2.48) Point CC = (5.46,2.48) Point EE = (8.6,0.52) Point EE = (8.6,0.52) Point EE = (8.6,0.52) Point FF = (2.84,3.88) Point FF = (2.84,3.88) Point FF = (2.84,3.88) Point GG = (5.91,3.9) Point GG = (5.91,3.9) Point GG = (5.91,3.9) Point HH = (9.48,2.46) Point HH = (9.48,2.46) Point HH = (9.48,2.46) Point DD = (3.37,2.48) Point DD = (3.37,2.48) Point DD = (3.37,2.48) xtext1 = “x”ytext1_1 = “y”60â°text1_2 = “60â°”

Image Made by Some Lines Making Two Unknown Angles

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Choice (4)Response

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b.

c.

d.

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