IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 662 - 665 of 1022

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Question number: 662

» Triangle and Its Properties

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MCQ▾

Question

Two poles 20 m and 14 m high stand upright on a ground. If their feet are 8 m apart, then the distance between their tops is ________.

Choices

Choice (4) Response

a.

11 m

b.

15 m

c.

10 m

d.

17 m

Question number: 663

» Triangle and Its Properties

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MCQ▾

Question

The three angles of a triangle are in the ratio 2: 2: 1, then the greatest angle is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 664

» Triangle and Its Properties

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MCQ▾

Question

The sides of a measure 5 cm, 12 cm and 13 cm. The area of the triangle is ________.

Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

Question number: 665

» Practical Geometry - Lines and Angles

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MCQ▾

Question

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

Arc c Arc c: Semicircle through F and G Arc d Arc d: Semicircle through H and I Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [B, C] Segment h Segment h: Segment [C, D] Segment i Segment i: Segment [D, A] Segment j Segment j: Segment [A, C] Segment k Segment k: Segment [D, B] Point A A = (7.11,1.05) Point A A = (7.11,1.05) Point A A = (7.11,1.05) Point B B = (7.11,4.54) Point B B = (7.11,4.54) Point B B = (7.11,4.54) Point C C = (4.31,4.54) Point C C = (4.31,4.54) Point C C = (4.31,4.54) Point D D = (4.31,1.05) Point D D = (4.31,1.05) Point D D = (4.31,1.05) Point E Point E: Intersection point of j, k Point E Point E: Intersection point of j, k Point E Point E: Intersection point of j, k 55â° text1_1 = “55â°” x text2 = “x”

Image Made by a Rectangle ABCD

Showing an image made by a rectangle ABCD, so find x.

Choices

Choice (4) Response

a.

b.

c.

d.