Fractions (IMO- Mathematics Olympiad Class 6): Questions 74 - 75 of 96 Choose Topic

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Question number: 74 » Fractions

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Question The models are shaded to show which of the following?

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Question number: 75 » Fractions

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Question Write the equivalent fractions represented by the shaded portions of these figures.

Quadrilateral poly1_3 Quadrilateral poly1_3: Polygon A_6, B_8, C_6, D_6 Quadrilateral poly1_4 Quadrilateral poly1_4: Polygon A_5, B_7, C_5, D_5 Quadrilateral poly1_5 Quadrilateral poly1_5: Polygon A_4, B_6, C_4, D_4 Quadrilateral poly1_6 Quadrilateral poly1_6: Polygon A_9, B_ {12}, C_9, D_9 Quadrilateral poly1_7 Quadrilateral poly1_7: Polygon A_8, B_ {11}, C_8, D_8 Quadrilateral poly1_8 Quadrilateral poly1_8: Polygon A_7, B_ {10}, C_7, D_7 Quadrilateral poly1_9 Quadrilateral poly1_9: Polygon A_ {12}, B_ {16}, C_ {12}, D_ {12} Quadrilateral poly1_ {10} Quadrilateral poly1_ {10}: Polygon A_ {11}, B_ {15}, C_ {11}, D_ {11} Quadrilateral poly1_ {11} Quadrilateral poly1_ {11}: Polygon A_ {10}, B_ {14}, C_ {10}, D_ {10} Quadrilateral poly1_1 Quadrilateral poly1_1: Polygon A_ {15}, B_ {20}, C_ {15}, D_ {15} Quadrilateral poly1_2 Quadrilateral poly1_2: Polygon A_ {14}, B_ {19}, C_ {14}, D_ {14} Quadrilateral poly1_ {12} Quadrilateral poly1_ {12}: Polygon A_ {17}, B_ {23}, C_ {17}, D_ {17} Quadrilateral poly1_ {13} Quadrilateral poly1_ {13}: Polygon A_ {16}, B_ {22}, C_ {16}, D_ {16} Quadrilateral poly1_ {15} Quadrilateral poly1_ {15}: Polygon A_ {20}, B_ {28}, C_ {20}, D_ {20} Quadrilateral poly1_ {16} Quadrilateral poly1_ {16}: Polygon A_ {19}, B_ {27}, C_ {19}, D_ {19} Quadrilateral poly1 Quadrilateral poly1: Polygon E, F, G, H Quadrilateral poly1_ {18} Quadrilateral poly1_ {18}: Polygon E_1, F_1, G_1, H_1 Quadrilateral poly1_ {19} Quadrilateral poly1_ {19}: Polygon E_2, F_2, G_2, H_2 Quadrilateral poly1_ {20} Quadrilateral poly1_ {20}: Polygon E_3, F_3, G_3, H_4 Quadrilateral poly1_ {21} Quadrilateral poly1_ {21}: Polygon E_4, F_4, G_4, H_6 Segment a_3 Segment a_3: Segment [A_6, B_8] of Quadrilateral poly1_3 Segment b_3 Segment b_3: Segment [B_8, C_6] of Quadrilateral poly1_3 Segment c_3 Segment c_3: Segment [C_6, D_6] of Quadrilateral poly1_3 Segment d_3 Segment d_3: Segment [D_6, A_6] of Quadrilateral poly1_3 Segment a_4 Segment a_4: Segment [A_5, B_7] of Quadrilateral poly1_4 Segment b_4 Segment b_4: Segment [B_7, C_5] of Quadrilateral poly1_4 Segment c_4 Segment c_4: Segment [C_5, D_5] of Quadrilateral poly1_4 Segment d_4 Segment d_4: Segment [D_5, A_5] of Quadrilateral poly1_4 Segment a_5 Segment a_5: Segment [A_4, B_6] of Quadrilateral poly1_5 Segment b_5 Segment b_5: Segment [B_6, C_4] of Quadrilateral poly1_5 Segment c_5 Segment c_5: Segment [C_4, D_4] of Quadrilateral poly1_5 Segment d_5 Segment d_5: Segment [D_4, A_4] of Quadrilateral poly1_5 Segment a_6 Segment a_6: Segment [A_9, B_ {12} ] of Quadrilateral poly1_6 Segment b_6 Segment b_6: Segment [B_ {12}, C_9] of Quadrilateral poly1_6 Segment c_6 Segment c_6: Segment [C_9, D_9] of Quadrilateral poly1_6 Segment d_6 Segment d_6: Segment [D_9, A_9] of Quadrilateral poly1_6 Segment a_7 Segment a_7: Segment [A_8, B_ {11} ] of Quadrilateral poly1_7 Segment b_7 Segment b_7: Segment [B_ {11}, C_8] of Quadrilateral poly1_7 Segment c_7 Segment c_7: Segment [C_8, D_8] of Quadrilateral poly1_7 Segment d_7 Segment d_7: Segment [D_8, A_8] of Quadrilateral poly1_7 Segment a_8 Segment a_8: Segment [A_7, B_ {10} ] of Quadrilateral poly1_8 Segment b_8 Segment b_8: Segment [B_ {10}, C_7] of Quadrilateral poly1_8 Segment c_8 Segment c_8: Segment [C_7, D_7] of Quadrilateral poly1_8 Segment d_8 Segment d_8: Segment [D_7, A_7] of Quadrilateral poly1_8 Segment a_9 Segment a_9: Segment [A_ {12}, B_ {16} ] of Quadrilateral poly1_9 Segment b_9 Segment b_9: Segment [B_ {16}, C_ {12} ] of Quadrilateral poly1_9 Segment c_9 Segment c_9: Segment [C_ {12}, D_ {12} ] of Quadrilateral poly1_9 Segment d_9 Segment d_9: Segment [D_ {12}, A_ {12} ] of Quadrilateral poly1_9 Segment a_ {10} Segment a_ {10}: Segment [A_ {11}, B_ {15} ] of Quadrilateral poly1_ {10} Segment b_ {10} Segment b_ {10}: Segment [B_ {15}, C_ {11} ] of Quadrilateral poly1_ {10} Segment c_ {10} Segment c_ {10}: Segment [C_ {11}, D_ {11} ] of Quadrilateral poly1_ {10} Segment d_ {10} Segment d_ {10}: Segment [D_ {11}, A_ {11} ] of Quadrilateral poly1_ {10} Segment a_ {11} Segment a_ {11}: Segment [A_ {10}, B_ {14} ] of Quadrilateral poly1_ {11} Segment b_ {11} Segment b_ {11}: Segment [B_ {14}, C_ {10} ] of Quadrilateral poly1_ {11} Segment c_ {11} Segment c_ {11}: Segment [C_ {10}, D_ {10} ] of Quadrilateral poly1_ {11} Segment d_ {11} Segment d_ {11}: Segment [D_ {10}, A_ {10} ] of Quadrilateral poly1_ {11} Segment a_1 Segment a_1: Segment [A_ {15}, B_ {20} ] of Quadrilateral poly1_1 Segment b_1 Segment b_1: Segment [B_ {20}, C_ {15} ] of Quadrilateral poly1_1 Segment c_1 Segment c_1: Segment [C_ {15}, D_ {15} ] of Quadrilateral poly1_1 Segment d_1 Segment d_1: Segment [D_ {15}, A_ {15} ] of Quadrilateral poly1_1 Segment a_2 Segment a_2: Segment [A_ {14}, B_ {19} ] of Quadrilateral poly1_2 Segment b_2 Segment b_2: Segment [B_ {19}, C_ {14} ] of Quadrilateral poly1_2 Segment c_2 Segment c_2: Segment [C_ {14}, D_ {14} ] of Quadrilateral poly1_2 Segment d_2 Segment d_2: Segment [D_ {14}, A_ {14} ] of Quadrilateral poly1_2 Segment a_ {12} Segment a_ {12}: Segment [A_ {17}, B_ {23} ] of Quadrilateral poly1_ {12} Segment b_ {13} Segment b_ {13}: Segment [B_ {23}, C_ {17} ] of Quadrilateral poly1_ {12} Segment c_ {12} Segment c_ {12}: Segment [C_ {17}, D_ {17} ] of Quadrilateral poly1_ {12} Segment d_ {12} Segment d_ {12}: Segment [D_ {17}, A_ {17} ] of Quadrilateral poly1_ {12} Segment a_ {13} Segment a_ {13}: Segment [A_ {16}, B_ {22} ] of Quadrilateral poly1_ {13} Segment b_ {14} Segment b_ {14}: Segment [B_ {22}, C_ {16} ] of Quadrilateral poly1_ {13} Segment c_ {13} Segment c_ {13}: Segment [C_ {16}, D_ {16} ] of Quadrilateral poly1_ {13} Segment d_ {13} Segment d_ {13}: Segment [D_ {16}, A_ {16} ] of Quadrilateral poly1_ {13} Segment a_ {15} Segment a_ {15}: Segment [A_ {20}, B_ {28} ] of Quadrilateral poly1_ {15} Segment b_ {16} Segment b_ {16}: Segment [B_ {28}, C_ {20} ] of Quadrilateral poly1_ {15} Segment c_ {15} Segment c_ {15}: Segment [C_ {20}, D_ {20} ] of Quadrilateral poly1_ {15} Segment d_ {15} Segment d_ {15}: Segment [D_ {20}, A_ {20} ] of Quadrilateral poly1_ {15} Segment a_ {16} Segment a_ {16}: Segment [A_ {19}, B_ {27} ] of Quadrilateral poly1_ {16} Segment b_ {17} Segment b_ {17}: Segment [B_ {27}, C_ {19} ] of Quadrilateral poly1_ {16} Segment c_ {16} Segment c_ {16}: Segment [C_ {19}, D_ {19} ] of Quadrilateral poly1_ {16} Segment d_ {16} Segment d_ {16}: Segment [D_ {19}, A_ {19} ] of Quadrilateral poly1_ {16} Segment e Segment e: Segment [E, F] of Quadrilateral poly1 Segment f Segment f: Segment [F, G] of Quadrilateral poly1 Segment g Segment g: Segment [G, H] of Quadrilateral poly1 Segment h Segment h: Segment [H, E] of Quadrilateral poly1 Segment e_1 Segment e_1: Segment [E_1, F_1] of Quadrilateral poly1_ {18} Segment f_1 Segment f_1: Segment [F_1, G_1] of Quadrilateral poly1_ {18} Segment g_1 Segment g_1: Segment [G_1, H_1] of Quadrilateral poly1_ {18} Segment h_1 Segment h_1: Segment [H_1, E_1] of Quadrilateral poly1_ {18} Segment e_2 Segment e_2: Segment [E_2, F_2] of Quadrilateral poly1_ {19} Segment f_2 Segment f_2: Segment [F_2, G_2] of Quadrilateral poly1_ {19} Segment g_2 Segment g_2: Segment [G_2, H_2] of Quadrilateral poly1_ {19} Segment h_2 Segment h_2: Segment [H_2, E_2] of Quadrilateral poly1_ {19} Segment e_3 Segment e_3: Segment [E_3, F_3] of Quadrilateral poly1_ {20} Segment f_3 Segment f_3: Segment [F_3, G_3] of Quadrilateral poly1_ {20} Segment g_3 Segment g_3: Segment [G_3, H_4] of Quadrilateral poly1_ {20} Segment h_3 Segment h_3: Segment [H_4, E_3] of Quadrilateral poly1_ {20} Segment e_4 Segment e_4: Segment [E_4, F_4] of Quadrilateral poly1_ {21} Segment f_4 Segment f_4: Segment [F_4, G_4] of Quadrilateral poly1_ {21} Segment g_4 Segment g_4: Segment [G_4, H_6] of Quadrilateral poly1_ {21} Segment h_4 Segment h_4: Segment [H_6, E_4] of Quadrilateral poly1_ {21} = text1 = “=” Image Made by Some Boxes and Rectangles

Find the equivalent fractions represented by the shaded portions of the given figures

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