Fractions (IMO- Mathematics Olympiad Class 6): Questions 66 - 66 of 96

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Question number: 66

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Question

In which of the following does the shaded part represent one third of its whole?

Choices

Choice (4) Response

a.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly2 Quadrilateral poly2: Polygon A, E, F, GQuadrilateral poly2_1 Quadrilateral poly2_1: Polygon A_1, E_1, F_1, G_1Quadrilateral poly2_2 Quadrilateral poly2_2: Polygon A_2, E_2, F_2, G_2Quadrilateral poly2_3 Quadrilateral poly2_3: Polygon A_3, E_3, F_3, G_3Segment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment a_1 Segment a_1: Segment [A, E] of Quadrilateral poly2Segment e Segment e: Segment [E, F] of Quadrilateral poly2Segment f Segment f: Segment [F, G] of Quadrilateral poly2Segment g Segment g: Segment [G, A] of Quadrilateral poly2Segment a_2 Segment a_2: Segment [A_1, E_1] of Quadrilateral poly2_1Segment e_1 Segment e_1: Segment [E_1, F_1] of Quadrilateral poly2_1Segment f_1 Segment f_1: Segment [F_1, G_1] of Quadrilateral poly2_1Segment g_1 Segment g_1: Segment [G_1, A_1] of Quadrilateral poly2_1Segment a_4 Segment a_4: Segment [A_2, E_2] of Quadrilateral poly2_2Segment e_2 Segment e_2: Segment [E_2, F_2] of Quadrilateral poly2_2Segment f_2 Segment f_2: Segment [F_2, G_2] of Quadrilateral poly2_2Segment g_2 Segment g_2: Segment [G_2, A_2] of Quadrilateral poly2_2Segment a_6 Segment a_6: Segment [A_3, E_3] of Quadrilateral poly2_3Segment e_3 Segment e_3: Segment [E_3, F_3] of Quadrilateral poly2_3Segment f_3 Segment f_3: Segment [F_3, G_3] of Quadrilateral poly2_3Segment g_3 Segment g_3: Segment [G_3, A_3] of Quadrilateral poly2_3

Image of Geometric Shapes With One Shaded Part: Choice a

Find the figure that has one third fraction of shaded part (B)

b.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly2 Quadrilateral poly2: Polygon B, A, E, FSegment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment b_1 Segment b_1: Segment [B, A] of Quadrilateral poly2Segment a_1 Segment a_1: Segment [A, E] of Quadrilateral poly2Segment e Segment e: Segment [E, F] of Quadrilateral poly2Segment f Segment f: Segment [F, B] of Quadrilateral poly2

Image of Geometric Shapes With One Shaded Part: Choice B

Find the figure that has one third fraction of shaded part (C)

c.

Triangle poly1 Triangle poly1: Polygon A, B, CQuadrilateral poly2 Quadrilateral poly2: Polygon D, E, C, BQuadrilateral poly2 Quadrilateral poly2: Polygon D, E, C, BSegment c Segment c: Segment [A, B] of Triangle poly1Segment a Segment a: Segment [B, C] of Triangle poly1Segment b Segment b: Segment [C, A] of Triangle poly1Segment d Segment d: Segment [D, E] of Quadrilateral poly2Segment e Segment e: Segment [E, C] of Quadrilateral poly2Segment c_1 Segment c_1: Segment [C, B] of Quadrilateral poly2Segment b_1 Segment b_1: Segment [B, D] of Quadrilateral poly2

Image of Geometric Shapes With One Shaded Part: Choice C

Find the figure that has one third fraction of shaded part (D)

d.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly1_1 Quadrilateral poly1_1: Polygon A_1, B_1, C_1, D_1Quadrilateral poly1_2 Quadrilateral poly1_2: Polygon A_2, B_2, C_2, D_2Segment a Segment a: Segment [A, B] of Quadrilateral poly1Segment b Segment b: Segment [B, C] of Quadrilateral poly1Segment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, A] of Quadrilateral poly1Segment a_1 Segment a_1: Segment [A_1, B_1] of Quadrilateral poly1_1Segment b_1 Segment b_1: Segment [B_1, C_1] of Quadrilateral poly1_1Segment c_1 Segment c_1: Segment [C_1, D_1] of Quadrilateral poly1_1Segment d_1 Segment d_1: Segment [D_1, A_1] of Quadrilateral poly1_1Segment a_2 Segment a_2: Segment [A_2, B_2] of Quadrilateral poly1_2Segment b_2 Segment b_2: Segment [B_2, C_2] of Quadrilateral poly1_2Segment c_2 Segment c_2: Segment [C_2, D_2] of Quadrilateral poly1_2Segment d_2 Segment d_2: Segment [D_2, A_2] of Quadrilateral poly1_2

Image of Geometric Shapes With One Shaded Part: Choice D

Find the figure that has one third fraction of shaded part

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