IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 599 - 603 of 1022

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Question number: 599

» Triangle and Its Properties

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MCQ▾

Question

In a triangle ABC, and D is the mid – point of BC. The value of is equal to ________.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 600

» Comparing Quantities

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MCQ▾

Question

Two cars start at the same point on a straight highway facing opposite directions. Each car drives 6 miles take a left turn and drives 8 miles. How far apart are the two cars?

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Choice (4) Response

a.

20 miles

b.

11 miles

c.

16 miles

d.

14 miles

Question number: 601

» Practical Geometry - Lines and Angles

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MCQ▾

Question

One of the exterior angle of a triangle is , interior opposite angles are equal. The angles of triangle are

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Choice (4) Response

a.

b.

c.

d.

Question number: 602

» Practical Geometry - Lines and Angles

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MCQ▾

Question

One of the exterior angle of a triangle is , interior opposite angles are in ratio 2: 5. The angles of triangle are

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Choice (4) Response

a.

b.

c.

d.

Question number: 603

» Practical Geometry - Lines and Angles

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MCQ▾

Question

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

Arc c Arc c: Semicircle through I and J Arc d Arc d: Semicircle through K and L Arc e Arc e: Semicircle through M and N Segment f Segment f: Segment [A, B] Segment g Segment g: Segment [B, C] Segment h Segment h: Segment [A, D] Segment i Segment i: Segment [A, E] Segment j Segment j: Segment [F, G] Segment k Segment k: Segment [A, G] Segment l Segment l: Segment [B, H] Vector u Vector u: Vector [O, P] Vector u Vector u: Vector [O, P] Vector u_1 Vector u_1: Vector [O_1, P_1] Vector u_1 Vector u_1: Vector [O_1, P_1] Point A A = (4.86,0.52) Point A A = (4.86,0.52) Point A A = (4.86,0.52) Point B B = (7.17,2.46) Point B B = (7.17,2.46) Point B B = (7.17,2.46) Point C C = (5.46,2.48) Point C C = (5.46,2.48) Point C C = (5.46,2.48) Point D D = (3.04,0.52) Point D D = (3.04,0.52) Point D D = (3.04,0.52) Point E E = (8.6,0.52) Point E E = (8.6,0.52) Point E E = (8.6,0.52) Point F F = (2.84,3.88) Point F F = (2.84,3.88) Point F F = (2.84,3.88) Point G G = (5.91,3.9) Point G G = (5.91,3.9) Point G G = (5.91,3.9) Point H H = (9.48,2.46) Point H H = (9.48,2.46) Point H H = (9.48,2.46) x text1 = “x” y text1_1 = “y” 70â° text1_2 = “70â°”

Image Made by Some Lines Making Some Angles

Showing an image made by some lines making some angles, so find angles x and y.

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Choice (4) Response

a.

b.

c.

d.