IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 585 - 586 of 1059

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Question number: 585

» Fractions

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MCQ▾

Question

How many parts should be shaded in the figure B to make it the same fraction as the unshaded part in the figure A?

Triangle poly1Triangle poly1: Polygon A, B, CTriangle poly2Triangle poly2: Polygon D, E, FSegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment fSegment f: Segment [D, E] of Triangle poly2Segment dSegment d: Segment [E, F] of Triangle poly2Segment eSegment e: Segment [F, D] of Triangle poly2Segment gSegment g: Segment [G, H] Segment hSegment h: Segment [H, J] Segment iSegment i: Segment [J, K] Segment jSegment j: Segment [K, G] Segment kSegment k: Segment [I, L] Segment lSegment l: Segment [M, N] Segment mSegment m: Segment [O, P] Segment nSegment n: Segment [Q, R] Segment pSegment p: Segment [S, T] Segment qSegment q: Segment [U, V] Segment rSegment r: Segment [W, Z] Segment sSegment s: Segment [A_1, B_1] Figure Atext1 = “Figure A”Figure Btext1_1 = “Figure B”

Image of a Triangle and Rectangle Having Some Parts

Choices

Choice (4)Response

a.

12

b.

4

c.

3

d.

8

Question number: 586

» Fractions

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MCQ▾

Question

Which of the following options (shaded) is not equivalent to ?

Choices

Choice (4)Response

a.

Quadrilateral poly2Quadrilateral poly2: Polygon D, C, E, FQuadrilateral poly3Quadrilateral poly3: Polygon F, E, G, HSegment d_1Segment d_1: Segment [D, C] of Quadrilateral poly2Segment c_1Segment c_1: Segment [C, E] of Quadrilateral poly2Segment eSegment e: Segment [E, F] of Quadrilateral poly2Segment fSegment f: Segment [F, D] of Quadrilateral poly2Segment f_1Segment f_1: Segment [F, E] of Quadrilateral poly3Segment e_1Segment e_1: Segment [E, G] of Quadrilateral poly3Segment gSegment g: Segment [G, H] of Quadrilateral poly3Segment hSegment h: Segment [H, F] of Quadrilateral poly3Segment h_1Segment h_1: Segment [H, G] of Quadrilateral poly4Segment g_1Segment g_1: Segment [G, I] of Quadrilateral poly4Segment iSegment i: Segment [I, J] of Quadrilateral poly4Segment jSegment j: Segment [J, H] of Quadrilateral poly4Segment d_2Segment d_2: Segment [D_1, C_1] of Quadrilateral poly2_1Segment c_2Segment c_2: Segment [C_1, E_1] of Quadrilateral poly2_1Segment e_2Segment e_2: Segment [E_1, F_1] of Quadrilateral poly2_1Segment f_2Segment f_2: Segment [F_1, D_1] of Quadrilateral poly2_1Segment d_3Segment d_3: Segment [D_2, C_2] of Quadrilateral poly2_2Segment c_3Segment c_3: Segment [C_2, E_2] of Quadrilateral poly2_2Segment e_3Segment e_3: Segment [E_2, F_2] of Quadrilateral poly2_2Segment f_3Segment f_3: Segment [F_2, D_2] of Quadrilateral poly2_2Segment d_4Segment d_4: Segment [D_3, C_3] of Quadrilateral poly2_3Segment c_4Segment c_4: Segment [C_3, E_3] of Quadrilateral poly2_3Segment e_4Segment e_4: Segment [E_3, F_3] of Quadrilateral poly2_3Segment f_4Segment f_4: Segment [F_3, D_3] of Quadrilateral poly2_3

Geometric Shapes Having Some Shaded Sections: Choice A

b.

Quadrilateral poly1Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly2_1Quadrilateral poly2_1: Polygon D_1, C_1, E_1, F_1Segment aSegment a: Segment [A, B] of Quadrilateral poly1Segment bSegment b: Segment [B, C] of Quadrilateral poly1Segment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, A] of Quadrilateral poly1Segment d_1Segment d_1: Segment [D, C] of Quadrilateral poly2Segment c_1Segment c_1: Segment [C, E] of Quadrilateral poly2Segment eSegment e: Segment [E, F] of Quadrilateral poly2Segment fSegment f: Segment [F, D] of Quadrilateral poly2Segment d_2Segment d_2: Segment [D_1, C_1] of Quadrilateral poly2_1Segment c_2Segment c_2: Segment [C_1, E_1] of Quadrilateral poly2_1Segment e_1Segment e_1: Segment [E_1, F_1] of Quadrilateral poly2_1Segment f_1Segment f_1: Segment [F_1, D_1] of Quadrilateral poly2_1Segment d_3Segment d_3: Segment [D_2, C_2] of Quadrilateral poly2_2Segment c_3Segment c_3: Segment [C_2, E_2] of Quadrilateral poly2_2Segment e_2Segment e_2: Segment [E_2, F_2] of Quadrilateral poly2_2Segment f_2Segment f_2: Segment [F_2, D_2] of Quadrilateral poly2_2

Geometric Shapes Having Some Shaded Sections: Choice B

c.

Triangle poly1Triangle poly1: Polygon A, B, CTriangle poly2Triangle poly2: Polygon D, E, FTriangle poly3Triangle poly3: Polygon G, H, ISegment cSegment c: Segment [A, B] of Triangle poly1Segment aSegment a: Segment [B, C] of Triangle poly1Segment bSegment b: Segment [C, A] of Triangle poly1Segment fSegment f: Segment [D, E] of Triangle poly2Segment dSegment d: Segment [E, F] of Triangle poly2Segment eSegment e: Segment [F, D] of Triangle poly2Segment iSegment i: Segment [G, H] of Triangle poly3Segment gSegment g: Segment [H, I] of Triangle poly3Segment hSegment h: Segment [I, G] of Triangle poly3

Geometric Shapes Having Some Shaded Sections: Choice C

d.

Circle c_1Circle c_1: Circle through B_1 with center A_1Sector d_1Sector d_1: CircularSector [A_1, C_1, B_1] Sector d_1Sector d_1: CircularSector [A_1, C_1, B_1] Sector e_1Sector e_1: CircularSector [A_1, C_1, D_1] Sector f_1Sector f_1: CircularSector [A_1, D_1, E_1] Sector f_1Sector f_1: CircularSector [A_1, D_1, E_1] Sector g_1Sector g_1: CircularSector [A_1, E_1, F_1] Sector h_1Sector h_1: CircularSector [A_1, F_1, G_1] Sector k_1Sector k_1: CircularSector [A_1, G_1, H_1] Sector k_1Sector k_1: CircularSector [A_1, G_1, H_1] Sector p_1Sector p_1: CircularSector [A_1, H_1, I_1] Sector q_1Sector q_1: CircularSector [A_1, I_1, C_1]

Geometric Shapes Having Some Shaded Sections: Choice D

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