IMO- Mathematics Olympiad Class 7: Questions 654 - 656 of 1012

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Question number: 654

» Triangle and Its Properties

MCQ▾

Question

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

Choices

Choice (4) Response

a.

12cm2

b.

8cm2

c.

6cm2

d.

None of the above

Question number: 655

» Practical Geometry - Lines and Angles

MCQ▾

Question

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

Arc d Arc d: Semicircle through H and ISegment 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 [B, E] Segment k Segment k: Segment [D, B] Point A A = (3.42, 1.54) Point A A = (3.42, 1.54) Point A A = (3.42, 1.54) Point B B = (5.46, 1.54) Point B B = (5.46, 1.54) Point B B = (5.46, 1.54) Point C C = (5.46, 3.26) Point C C = (5.46, 3.26) Point C C = (5.46, 3.26) Point D D = (3.42, 3.26) Point D D = (3.42, 3.26) Point D D = (3.42, 3.26) Point E E = (7.55, 1.54) Point E E = (7.55, 1.54) Point E E = (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.

1530

b.

1200

c.

1350

d.

1150

Question number: 656

» Triangle and Its Properties

MCQ▾

Question

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

Triangle poly1 Triangle poly1: Polygon B, F, EArc d Arc d: Semicircle through G and HArc e Arc e: Semicircle through I and JArc k Arc k: Semicircle through K and LSegment c Segment c: Segment [B, F] of Triangle poly1Segment a Segment a: Segment [F, E] of Triangle poly1Segment b Segment b: Segment [E, B] of Triangle poly1Segment f Segment f: Segment [A, C] Segment g Segment g: Segment [C, D] Segment h Segment h: Segment [D, E] Segment i Segment i: Segment [M, N] Segment j Segment j: Segment [O, P] Point B B = (3.08, 4.82) Point B B = (3.08, 4.82) Point B B = (3.08, 4.82) Point F F = (1.12, 1.58) Point F F = (1.12, 1.58) Point F F = (1.12, 1.58) Point E E = (5.24, 1.58) Point E E = (5.24, 1.58) Point E E = (5.24, 1.58) Point A Point A: Point on cPoint A Point A: Point on cPoint A Point A: Point on cPoint C Point C: Point on bPoint C Point C: Point on bPoint C Point C: Point on bPoint D D = (9.7, 1.58) Point D D = (9.7, 1.58) Point D D = (9.7, 1.58) 62â° text1 = “62â°”28â° text1_1 = “28â°”y text1_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.

930

b.

920

c.

910

d.

900

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