IMO- Mathematics Olympiad (SOF) Class 7: Questions 567 - 568 of 1012

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Question number: 567

» Practical Geometry - Lines and Angles

MCQ▾

Question

In the figure, (not drawn to scale), BCF is an isosceles triangle with FC = FB, EBF and ABC are straight lines, EB is parallel to GC. Find x.

Arc c Arc c: Semicircle through D and HSector d Sector d: CircularSector [C, I, J] Sector d Sector d: CircularSector [C, I, J] Segment f Segment f: Segment [E, F] Segment g Segment g: Segment [G, C] Segment h Segment h: Segment [C, F] Segment i Segment i: Segment [C, A] Vector u Vector u: Vector [K, L] Vector u Vector u: Vector [K, L] Vector u_1 Vector u_1: Vector [K_1, L_1] Vector u_1 Vector u_1: Vector [K_1, L_1] Point E E = (3.22,3.26) Point E E = (3.22,3.26) Point E E = (3.22,3.26) Point F F = (7.74,4.86) Point F F = (7.74,4.86) Point F F = (7.74,4.86) Point G G = (4.44,1.16) Point G G = (4.44,1.16) Point G G = (4.44,1.16) Point C C = (9.32,2.88) Point C C = (9.32,2.88) Point C C = (9.32,2.88) Point A A = (2.62,4.96) Point A A = (2.62,4.96) Point A A = (2.62,4.96) Point B Point B: Intersection point of f, iPoint B Point B: Intersection point of f, iPoint B Point B: Intersection point of f, i48â° text1 = “48â°”x text2 = “x”

Image Made by Some Lines Making Angles

Showing the image that is made by some lines making angles, so find angle x

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 568

» Comparing Quantities

MCQ▾

Question

A school has 560 students. The number of girls is of the number of boys. How many girls are there in the school?

Choices

Choice (4) Response

a.

100

b.

80

c.

70

d.

49

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