IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 506 - 506 of 1059

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Question number: 506

» Fractions

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What is the sum of the shaded parts if shaded parts are expressed in fractions?

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Quadrilateral poly2_1 Quadrilateral poly2_1: Polygon A_1, E_1, F_1, G_1 Quadrilateral poly2_2 Quadrilateral poly2_2: Polygon A_2, E_2, F_2, G_2 Quadrilateral poly2_4 Quadrilateral poly2_4: Polygon A_4, E_4, F_4, G_4 Quadrilateral poly2_6 Quadrilateral poly2_6: Polygon A_7, E_6, F_7, G_8 Quadrilateral poly2_8 Quadrilateral poly2_8: Polygon A_ {11}, E_9, F_9, G_ {10} Quadrilateral poly2_ {10} Quadrilateral poly2_ {10}: Polygon A_ {20}, E_ {14}, F_ {12}, G_ {15} Quadrilateral poly2_ {13} Quadrilateral poly2_ {13}: Polygon A_ {31}, E_ {22}, F_ {17}, G_ {24} Quadrilateral poly2_ {15} Quadrilateral poly2_ {15}: Polygon A_ {49}, E_ {31}, F_ {21}, G_ {33} Quadrilateral poly1_ {73} Quadrilateral poly1_ {73}: Polygon A_ {92}, B_ {73}, C_ {73}, D_ {73} Quadrilateral poly2_ {22} Quadrilateral poly2_ {22}: Polygon A_ {93}, E_ {53}, F_ {31}, G_ {49} Quadrilateral poly2_ {24} Quadrilateral poly2_ {24}: Polygon A_ {102}, E_ {55}, F_ {33}, G_ {51} Quadrilateral poly2_ {25} Quadrilateral poly2_ {25}: Polygon A_ {107}, E_ {56}, F_ {34}, G_ {52} Quadrilateral poly2_ {27} Quadrilateral poly2_ {27}: Polygon A_ {117}, E_ {58}, F_ {36}, G_ {54} Quadrilateral poly2_ {28} Quadrilateral poly2_ {28}: Polygon A_ {125}, E_ {59}, F_ {37}, G_ {56} Quadrilateral poly2_ {29} Quadrilateral poly2_ {29}: Polygon A_ {129}, E_ {62}, F_ {39}, G_ {57} Quadrilateral poly2_ {31} Quadrilateral poly2_ {31}: Polygon A_ {141}, E_ {66}, F_ {42}, G_ {59} Quadrilateral poly2_ {32} Quadrilateral poly2_ {32}: Polygon A_ {147}, E_ {69}, F_ {44}, G_ {60} Quadrilateral poly2_ {18} Quadrilateral poly2_ {18}: Polygon A_ {153}, E_ {72}, F_ {45}, G_ {61} Quadrilateral poly2_ {19} Quadrilateral poly2_ {19}: Polygon A_ {156}, E_ {73}, F_ {46}, G_ {62} Quadrilateral poly2_ {20} Quadrilateral poly2_ {20}: Polygon A_ {162}, E_ {76}, F_ {47}, G_ {63} 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 a_2 Segment a_2: Segment [A_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, G_1] of Quadrilateral poly2_1 Segment g_1 Segment g_1: Segment [G_1, A_1] of Quadrilateral poly2_1 Segment a_4 Segment a_4: Segment [A_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, G_2] of Quadrilateral poly2_2 Segment g_2 Segment g_2: Segment [G_2, A_2] of Quadrilateral poly2_2 Segment a_8 Segment a_8: Segment [A_4, E_4] of Quadrilateral poly2_4 Segment e_4 Segment e_4: Segment [E_4, F_4] of Quadrilateral poly2_4 Segment f_4 Segment f_4: Segment [F_4, G_4] of Quadrilateral poly2_4 Segment g_4 Segment g_4: Segment [G_4, A_4] of Quadrilateral poly2_4 Segment a_ {12} Segment a_ {12}: Segment [A_7, E_6] of Quadrilateral poly2_6 Segment e_6 Segment e_6: Segment [E_6, F_7] of Quadrilateral poly2_6 Segment f_7 Segment f_7: Segment [F_7, G_8] of Quadrilateral poly2_6 Segment g_6 Segment g_6: Segment [G_8, A_7] of Quadrilateral poly2_6 Segment a_ {18} Segment a_ {18}: Segment [A_ {11}, E_9] of Quadrilateral poly2_8 Segment e_9 Segment e_9: Segment [E_9, F_9] of Quadrilateral poly2_8 Segment f_8 Segment f_8: Segment [F_9, G_ {10} ] of Quadrilateral poly2_8 Segment g_8 Segment g_8: Segment [G_ {10}, A_ {11} ] of Quadrilateral poly2_8 Segment a_ {27} Segment a_ {27}: Segment [A_ {20}, E_ {14} ] of Quadrilateral poly2_ {10} Segment e_ {11} Segment e_ {11}: Segment [E_ {14}, F_ {12} ] of Quadrilateral poly2_ {10} Segment f_ {10} Segment f_ {10}: Segment [F_ {12}, G_ {15} ] of Quadrilateral poly2_ {10} Segment g_ {10} Segment g_ {10}: Segment [G_ {15}, A_ {20} ] of Quadrilateral poly2_ {10} Segment a_ {40} Segment a_ {40}: Segment [A_ {31}, E_ {22} ] of Quadrilateral poly2_ {13} Segment e_ {13} Segment e_ {13}: Segment [E_ {22}, F_ {17} ] of Quadrilateral poly2_ {13} Segment f_ {14} Segment f_ {14}: Segment [F_ {17}, G_ {24} ] of Quadrilateral poly2_ {13} Segment g_ {13} Segment g_ {13}: Segment [G_ {24}, A_ {31} ] of Quadrilateral poly2_ {13} Segment a_ {57} Segment a_ {57}: Segment [A_ {49}, E_ {31} ] of Quadrilateral poly2_ {15} Segment e_ {15} Segment e_ {15}: Segment [E_ {31}, F_ {21} ] of Quadrilateral poly2_ {15} Segment f_ {16} Segment f_ {16}: Segment [F_ {21}, G_ {33} ] of Quadrilateral poly2_ {15} Segment g_ {15} Segment g_ {15}: Segment [G_ {33}, A_ {49} ] of Quadrilateral poly2_ {15} Segment a_ {95} Segment a_ {95}: Segment [A_ {92}, B_ {73} ] of Quadrilateral poly1_ {73} Segment b_ {73} Segment b_ {73}: Segment [B_ {73}, C_ {73} ] of Quadrilateral poly1_ {73} Segment c_ {73} Segment c_ {73}: Segment [C_ {73}, D_ {73} ] of Quadrilateral poly1_ {73} Segment d_ {73} Segment d_ {73}: Segment [D_ {73}, A_ {92} ] of Quadrilateral poly1_ {73} Segment a_ {96} Segment a_ {96}: Segment [A_ {93}, E_ {53} ] of Quadrilateral poly2_ {22} Segment e_ {22} Segment e_ {22}: Segment [E_ {53}, F_ {31} ] of Quadrilateral poly2_ {22} Segment f_ {22} Segment f_ {22}: Segment [F_ {31}, G_ {49} ] of Quadrilateral poly2_ {22} Segment g_ {22} Segment g_ {22}: Segment [G_ {49}, A_ {93} ] of Quadrilateral poly2_ {22} Segment a_ {100} Segment a_ {100}: Segment [A_ {102}, E_ {55} ] of Quadrilateral poly2_ {24} Segment e_ {24} Segment e_ {24}: Segment [E_ {55}, F_ {33} ] of Quadrilateral poly2_ {24} Segment f_ {24} Segment f_ {24}: Segment [F_ {33}, G_ {51} ] of Quadrilateral poly2_ {24} Segment g_ {24} Segment g_ {24}: Segment [G_ {51}, A_ {102} ] of Quadrilateral poly2_ {24} Segment a_ {102} Segment a_ {102}: Segment [A_ {107}, E_ {56} ] of Quadrilateral poly2_ {25} Segment e_ {25} Segment e_ {25}: Segment [E_ {56}, F_ {34} ] of Quadrilateral poly2_ {25} Segment f_ {25} Segment f_ {25}: Segment [F_ {34}, G_ {52} ] of Quadrilateral poly2_ {25} Segment g_ {25} Segment g_ {25}: Segment [G_ {52}, A_ {107} ] of Quadrilateral poly2_ {25} Segment a_ {106} Segment a_ {106}: Segment [A_ {117}, E_ {58} ] of Quadrilateral poly2_ {27} Segment e_ {27} Segment e_ {27}: Segment [E_ {58}, F_ {36} ] of Quadrilateral poly2_ {27} Segment f_ {27} Segment f_ {27}: Segment [F_ {36}, G_ {54} ] of Quadrilateral poly2_ {27} Segment g_ {27} Segment g_ {27}: Segment [G_ {54}, A_ {117} ] of Quadrilateral poly2_ {27} Segment a_ {109} Segment a_ {109}: Segment [A_ {125}, E_ {59} ] of Quadrilateral poly2_ {28} Segment e_ {28} Segment e_ {28}: Segment [E_ {59}, F_ {37} ] of Quadrilateral poly2_ {28} Segment f_ {28} Segment f_ {28}: Segment [F_ {37}, G_ {56} ] of Quadrilateral poly2_ {28} Segment g_ {28} Segment g_ {28}: Segment [G_ {56}, A_ {125} ] of Quadrilateral poly2_ {28} Segment a_ {113} Segment a_ {113}: Segment [A_ {129}, E_ {62} ] of Quadrilateral poly2_ {29} Segment e_ {29} Segment e_ {29}: Segment [E_ {62}, F_ {39} ] of Quadrilateral poly2_ {29} Segment f_ {29} Segment f_ {29}: Segment [F_ {39}, G_ {57} ] of Quadrilateral poly2_ {29} Segment g_ {29} Segment g_ {29}: Segment [G_ {57}, A_ {129} ] of Quadrilateral poly2_ {29} Segment a_ {119} Segment a_ {119}: Segment [A_ {141}, E_ {66} ] of Quadrilateral poly2_ {31} Segment e_ {31} Segment e_ {31}: Segment [E_ {66}, F_ {42} ] of Quadrilateral poly2_ {31} Segment f_ {31} Segment f_ {31}: Segment [F_ {42}, G_ {59} ] of Quadrilateral poly2_ {31} Segment g_ {31} Segment g_ {31}: Segment [G_ {59}, A_ {141} ] of Quadrilateral poly2_ {31} Segment a_ {123} Segment a_ {123}: Segment [A_ {147}, E_ {69} ] of Quadrilateral poly2_ {32} Segment e_ {32} Segment e_ {32}: Segment [E_ {69}, F_ {44} ] of Quadrilateral poly2_ {32} Segment f_ {32} Segment f_ {32}: Segment [F_ {44}, G_ {60} ] of Quadrilateral poly2_ {32} Segment g_ {32} Segment g_ {32}: Segment [G_ {60}, A_ {147} ] of Quadrilateral poly2_ {32} Segment a_ {85} Segment a_ {85}: Segment [A_ {153}, E_ {72} ] of Quadrilateral poly2_ {18} Segment e_ {18} Segment e_ {18}: Segment [E_ {72}, F_ {45} ] of Quadrilateral poly2_ {18} Segment f_ {18} Segment f_ {18}: Segment [F_ {45}, G_ {61} ] of Quadrilateral poly2_ {18} Segment g_ {18} Segment g_ {18}: Segment [G_ {61}, A_ {153} ] of Quadrilateral poly2_ {18} Segment a_1 Segment a_1: Segment [A_ {156}, E_ {73} ] of Quadrilateral poly2_ {19} Segment e_ {19} Segment e_ {19}: Segment [E_ {73}, F_ {46} ] of Quadrilateral poly2_ {19} Segment f_ {19} Segment f_ {19}: Segment [F_ {46}, G_ {62} ] of Quadrilateral poly2_ {19} Segment g_ {19} Segment g_ {19}: Segment [G_ {62}, A_ {156} ] of Quadrilateral poly2_ {19} Segment a_ {128} Segment a_ {128}: Segment [A_ {162}, E_ {76} ] of Quadrilateral poly2_ {20} Segment e_ {20} Segment e_ {20}: Segment [E_ {76}, F_ {47} ] of Quadrilateral poly2_ {20} Segment f_ {20} Segment f_ {20}: Segment [F_ {47}, G_ {63} ] of Quadrilateral poly2_ {20} Segment g_ {20} Segment g_ {20}: Segment [G_ {63}, A_ {162} ] of Quadrilateral poly2_ {20} text1 = ” “

Image Made by Two Squares Having Shaded Parts in It

Showing an image that is made by two squares having shaded parts in it, so find the sum of the shaded parts

Choices

Choice (4) Response

a.

b.

c.

d.