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 poly1 Triangle poly1: Polygon A, B, C Triangle poly2 Triangle poly2: Polygon D, E, F Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [D, E] of Triangle poly2 Segment d Segment d: Segment [E, F] of Triangle poly2 Segment e Segment e: Segment [F, D] of Triangle poly2 Segment g Segment g: Segment [G, H] Segment h Segment h: Segment [H, J] Segment i Segment i: Segment [J, K] Segment j Segment j: Segment [K, G] Segment k Segment k: Segment [I, L] Segment l Segment l: Segment [M, N] Segment m Segment m: Segment [O, P] Segment n Segment n: Segment [Q, R] Segment p Segment p: Segment [S, T] Segment q Segment q: Segment [U, V] Segment r Segment r: Segment [W, Z] Segment s Segment s: Segment [A_1, B_1] Figure A text1 = “Figure A” Figure B text1_1 = “Figure B”

Image of a Triangle and Rectangle Having Some Parts

Find the number of parts to be shaded in the figure B to make it same fraction as the unshaded part in the figure A

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 poly2 Quadrilateral poly2: Polygon D, C, E, F Quadrilateral poly3 Quadrilateral poly3: Polygon F, E, G, H Segment d_1 Segment d_1: Segment [D, C] of Quadrilateral poly2 Segment c_1 Segment c_1: Segment [C, E] of Quadrilateral poly2 Segment e Segment e: Segment [E, F] of Quadrilateral poly2 Segment f Segment f: Segment [F, D] of Quadrilateral poly2 Segment f_1 Segment f_1: Segment [F, E] of Quadrilateral poly3 Segment e_1 Segment e_1: Segment [E, G] of Quadrilateral poly3 Segment g Segment g: Segment [G, H] of Quadrilateral poly3 Segment h Segment h: Segment [H, F] of Quadrilateral poly3 Segment h_1 Segment h_1: Segment [H, G] of Quadrilateral poly4 Segment g_1 Segment g_1: Segment [G, I] of Quadrilateral poly4 Segment i Segment i: Segment [I, J] of Quadrilateral poly4 Segment j Segment j: Segment [J, H] of Quadrilateral poly4 Segment d_2 Segment d_2: Segment [D_1, C_1] of Quadrilateral poly2_1 Segment c_2 Segment c_2: Segment [C_1, E_1] of Quadrilateral poly2_1 Segment e_2 Segment e_2: Segment [E_1, F_1] of Quadrilateral poly2_1 Segment f_2 Segment f_2: Segment [F_1, D_1] of Quadrilateral poly2_1 Segment d_3 Segment d_3: Segment [D_2, C_2] of Quadrilateral poly2_2 Segment c_3 Segment c_3: Segment [C_2, E_2] of Quadrilateral poly2_2 Segment e_3 Segment e_3: Segment [E_2, F_2] of Quadrilateral poly2_2 Segment f_3 Segment f_3: Segment [F_2, D_2] of Quadrilateral poly2_2 Segment d_4 Segment d_4: Segment [D_3, C_3] of Quadrilateral poly2_3 Segment c_4 Segment c_4: Segment [C_3, E_3] of Quadrilateral poly2_3 Segment e_4 Segment e_4: Segment [E_3, F_3] of Quadrilateral poly2_3 Segment f_4 Segment f_4: Segment [F_3, D_3] of Quadrilateral poly2_3

Geometric Shapes Having Some Shaded Sections: Choice A

Find the shape that is not equivalent to 1/3 from the given options

b.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Quadrilateral poly2_1 Quadrilateral poly2_1: Polygon D_1, C_1, E_1, F_1 Segment a Segment a: Segment [A, B] of Quadrilateral poly1 Segment b Segment b: Segment [B, C] of Quadrilateral poly1 Segment c Segment c: Segment [C, D] of Quadrilateral poly1 Segment d Segment d: Segment [D, A] of Quadrilateral poly1 Segment d_1 Segment d_1: Segment [D, C] of Quadrilateral poly2 Segment c_1 Segment c_1: Segment [C, E] of Quadrilateral poly2 Segment e Segment e: Segment [E, F] of Quadrilateral poly2 Segment f Segment f: Segment [F, D] of Quadrilateral poly2 Segment d_2 Segment d_2: Segment [D_1, C_1] of Quadrilateral poly2_1 Segment c_2 Segment c_2: Segment [C_1, E_1] of Quadrilateral poly2_1 Segment e_1 Segment e_1: Segment [E_1, F_1] of Quadrilateral poly2_1 Segment f_1 Segment f_1: Segment [F_1, D_1] of Quadrilateral poly2_1 Segment d_3 Segment d_3: Segment [D_2, C_2] of Quadrilateral poly2_2 Segment c_3 Segment c_3: Segment [C_2, E_2] of Quadrilateral poly2_2 Segment e_2 Segment e_2: Segment [E_2, F_2] of Quadrilateral poly2_2 Segment f_2 Segment f_2: Segment [F_2, D_2] of Quadrilateral poly2_2

Geometric Shapes Having Some Shaded Sections: Choice B

Find the shape that is not equivalent to 1/3 from the given options

c.

Triangle poly1 Triangle poly1: Polygon A, B, C Triangle poly2 Triangle poly2: Polygon D, E, F Triangle poly3 Triangle poly3: Polygon G, H, I Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment f Segment f: Segment [D, E] of Triangle poly2 Segment d Segment d: Segment [E, F] of Triangle poly2 Segment e Segment e: Segment [F, D] of Triangle poly2 Segment i Segment i: Segment [G, H] of Triangle poly3 Segment g Segment g: Segment [H, I] of Triangle poly3 Segment h Segment h: Segment [I, G] of Triangle poly3

Geometric Shapes Having Some Shaded Sections: Choice C

Find the shape that is not equivalent to 1/3 from the given options

d.

Circle c_1 Circle c_1: Circle through B_1 with center A_1 Sector d_1 Sector d_1: CircularSector [A_1, C_1, B_1] Sector d_1 Sector d_1: CircularSector [A_1, C_1, B_1] Sector e_1 Sector e_1: CircularSector [A_1, C_1, D_1] Sector f_1 Sector f_1: CircularSector [A_1, D_1, E_1] Sector f_1 Sector f_1: CircularSector [A_1, D_1, E_1] Sector g_1 Sector g_1: CircularSector [A_1, E_1, F_1] Sector h_1 Sector h_1: CircularSector [A_1, F_1, G_1] Sector k_1 Sector k_1: CircularSector [A_1, G_1, H_1] Sector k_1 Sector k_1: CircularSector [A_1, G_1, H_1] Sector p_1 Sector p_1: CircularSector [A_1, H_1, I_1] Sector q_1 Sector q_1: CircularSector [A_1, I_1, C_1]

Geometric Shapes Having Some Shaded Sections: Choice D

Find the shape that is not equivalent to 1/3 from the given options