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 poly1Quadrilateral poly1: Polygon A, B, C, DQuadrilateral poly2_1Quadrilateral poly2_1: Polygon A_1, E_1, F_1, G_1Quadrilateral poly2_2Quadrilateral poly2_2: Polygon A_2, E_2, F_2, G_2Quadrilateral poly2_4Quadrilateral poly2_4: Polygon A_4, E_4, F_4, G_4Quadrilateral poly2_6Quadrilateral poly2_6: Polygon A_7, E_6, F_7, G_8Quadrilateral poly2_8Quadrilateral 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 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 a_2Segment a_2: Segment [A_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, G_1] of Quadrilateral poly2_1Segment g_1Segment g_1: Segment [G_1, A_1] of Quadrilateral poly2_1Segment a_4Segment a_4: Segment [A_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, G_2] of Quadrilateral poly2_2Segment g_2Segment g_2: Segment [G_2, A_2] of Quadrilateral poly2_2Segment a_8Segment a_8: Segment [A_4, E_4] of Quadrilateral poly2_4Segment e_4Segment e_4: Segment [E_4, F_4] of Quadrilateral poly2_4Segment f_4Segment f_4: Segment [F_4, G_4] of Quadrilateral poly2_4Segment g_4Segment g_4: Segment [G_4, A_4] of Quadrilateral poly2_4Segment a_ {12}Segment a_ {12}: Segment [A_7, E_6] of Quadrilateral poly2_6Segment e_6Segment e_6: Segment [E_6, F_7] of Quadrilateral poly2_6Segment f_7Segment f_7: Segment [F_7, G_8] of Quadrilateral poly2_6Segment g_6Segment g_6: Segment [G_8, A_7] of Quadrilateral poly2_6Segment a_ {18}Segment a_ {18}: Segment [A_ {11}, E_9] of Quadrilateral poly2_8Segment e_9Segment e_9: Segment [E_9, F_9] of Quadrilateral poly2_8Segment f_8Segment f_8: Segment [F_9, G_ {10} ] of Quadrilateral poly2_8Segment g_8Segment g_8: Segment [G_ {10}, A_ {11} ] of Quadrilateral poly2_8Segment 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_1Segment 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

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