IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 654 - 656 of 1022

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Question number: 654

» Triangle and Its Properties

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MCQ▾

Question

The sides of a measure 3 cm, 4 cm and 5 cm. The area of the triangle is ________.

Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

Question number: 655

» Practical Geometry - Lines and Angles

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MCQ▾

Question

In the figure (not drawn to scale), ABCD is square, ABE is a straight line. Find .

Arc dArc d: Semicircle through H and ISegment 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 [B, E] Segment kSegment k: Segment [D, B] Point AA = (3.42,1.54) Point AA = (3.42,1.54) Point AA = (3.42,1.54) Point BB = (5.46,1.54) Point BB = (5.46,1.54) Point BB = (5.46,1.54) Point CC = (5.46,3.26) Point CC = (5.46,3.26) Point CC = (5.46,3.26) Point DD = (3.42,3.26) Point DD = (3.42,3.26) Point DD = (3.42,3.26) Point EE = (7.55,1.54) Point EE = (7.55,1.54) Point EE = (7.55,1.54)

Image Made by a Square and a Line ABE

Showing an image made by a square and a line ABE, so find angle DBE

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 656

» Triangle and Its Properties

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MCQ▾

Question

In the figure (not drawn to scale), ADF and BEF are triangles and EC = ED, find y.

Triangle poly1Triangle poly1: Polygon B, F, EArc dArc d: Semicircle through G and HArc eArc e: Semicircle through I and JArc kArc k: Semicircle through K and LSegment cSegment c: Segment [B, F] of Triangle poly1Segment aSegment a: Segment [F, E] of Triangle poly1Segment bSegment b: Segment [E, B] of Triangle poly1Segment fSegment f: Segment [A, C] Segment gSegment g: Segment [C, D] Segment hSegment h: Segment [D, E] Segment iSegment i: Segment [M, N] Segment jSegment j: Segment [O, P] Point BB = (3.08,4.82) Point BB = (3.08,4.82) Point BB = (3.08,4.82) Point FF = (1.12,1.58) Point FF = (1.12,1.58) Point FF = (1.12,1.58) Point EE = (5.24,1.58) Point EE = (5.24,1.58) Point EE = (5.24,1.58) Point APoint A: Point on cPoint APoint A: Point on cPoint APoint A: Point on cPoint CPoint C: Point on bPoint CPoint C: Point on bPoint CPoint C: Point on bPoint DD = (9.7,1.58) Point DD = (9.7,1.58) Point DD = (9.7,1.58) 62â°text1 = “62â°”28â°text1_1 = “28â°”ytext1_2 = “y”

Image of Two Triangles BEF and ADF

Showing an image of two triangles BEF and ADF, so find y

Choices

Choice (4)Response

a.

b.

c.

d.

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