IMO Level 1- Mathematics Olympiad (SOF) Class 4: Questions 367 - 368 of 614

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Question number: 367

» Geometry

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MCQ▾

Question

Find the length of UT.

Polygon poly1 Polygon poly1: Polygon A, B, C, D, E, F, G, H Segment a Segment a: Segment [A, B] of Polygon poly1 Segment b Segment b: Segment [B, C] of Polygon poly1 Segment c Segment c: Segment [C, D] of Polygon poly1 Segment d Segment d: Segment [D, E] of Polygon poly1 Segment e Segment e: Segment [E, F] of Polygon poly1 Segment f Segment f: Segment [F, G] of Polygon poly1 Segment g Segment g: Segment [G, H] of Polygon poly1 Segment h Segment h: Segment [H, A] of Polygon poly1 Segment i Segment i: Segment [I, J] Segment j Segment j: Segment [O, P] Vector u Vector u: Vector [K, L] Vector u Vector u: Vector [K, L] Vector v Vector v: Vector [M, N] Vector v Vector v: Vector [M, N] Point I I = (-2.46,4.54) Point I I = (-2.46,4.54) Point J J = (-1.82,4.54) Point J J = (-1.82,4.54) Point O O = (-1.58,3.62) Point O O = (-1.58,3.62) Point P P = (-0.38,3.62) Point P P = (-0.38,3.62) P text1 = “P” Q text1_1 = “Q” R text1_2 = “R” S text1_3 = “S” T text1_4 = “T” U text1_5 = “U” 14 cm text2 = “14 cm” 5 cm text2_1 = “5 cm” 2 cm text2_2 = “2 cm”

Image Shows the Length of Hall

Find the length of UT

Choices

Choice (4) Response

a.

4 cm

b.

8 cm

c.

14 cm

d.

7 cm

Question number: 368

» Geometry

Edit
MCQ▾

Question

Find the perimeter of the shaded part of the given figure.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly2 Polygon poly2: Polygon [C, B, 4] Polygon poly2 Polygon poly2: Polygon [C, B, 4] Polygon poly3 Polygon poly3: Polygon [F, E, 4] Polygon poly4 Polygon poly4: Polygon [H, G, 4] Polygon poly4 Polygon poly4: Polygon [H, G, 4] Polygon poly5 Polygon poly5: Polygon [B, A, 4] Polygon poly5 Polygon poly5: Polygon [B, A, 4] Polygon poly6 Polygon poly6: Polygon [E, B, 4] Polygon poly7 Polygon poly7: Polygon [G, E, 4] Polygon poly7 Polygon poly7: Polygon [G, E, 4] Polygon poly8 Polygon poly8: Polygon [I, G, 4] Polygon poly8 Polygon poly8: Polygon [I, G, 4] Polygon poly9 Polygon poly9: Polygon [L, K, 4] Polygon poly9 Polygon poly9: Polygon [L, K, 4] Polygon poly10 Polygon poly10: Polygon [N, L, 4] Polygon poly10 Polygon poly10: Polygon [N, L, 4] Polygon poly11 Polygon poly11: Polygon [P, N, 4] Polygon poly11 Polygon poly11: Polygon [P, N, 4] Polygon poly12 Polygon poly12: Polygon [R, P, 4] Polygon poly12 Polygon poly12: Polygon [R, P, 4] Polygon poly13 Polygon poly13: Polygon [J, I, 4] Polygon poly13 Polygon poly13: Polygon [J, I, 4] Polygon poly14 Polygon poly14: Polygon [I, R, 4] Polygon poly14 Polygon poly14: Polygon [I, R, 4] Polygon poly15 Polygon poly15: Polygon [R, B_1,4] Polygon poly15 Polygon poly15: Polygon [R, B_1,4] Polygon poly16 Polygon poly16: Polygon [T, S, 4] Polygon poly16 Polygon poly16: Polygon [T, S, 4] Polygon poly17 Polygon poly17: Polygon [V, T, 4] Polygon poly18 Polygon poly18: Polygon [Z, V, 4] Polygon poly18 Polygon poly18: Polygon [Z, V, 4] Polygon poly19 Polygon poly19: Polygon [B_1, Z, 4] Polygon poly19 Polygon poly19: Polygon [B_1, Z, 4] Polygon poly20 Polygon poly20: Polygon [G_1, B_1,4] Polygon poly21 Polygon poly21: Polygon [W_1, Z_1,4] Polygon poly22 Polygon poly22: Polygon [A_2, Z_1,4] Polygon poly22 Polygon poly22: Polygon [A_2, Z_1,4] Polygon poly23 Polygon poly23: Polygon [D_2, C_2,4] Polygon poly23 Polygon poly23: Polygon [D_2, C_2,4] Polygon poly24 Polygon poly24: Polygon [F_2, E_2,4] Segment f Segment f: Segment [A, B] of Polygon poly1 Segment g Segment g: Segment [B, C] of Polygon poly1 Segment h Segment h: Segment [C, D] of Polygon poly1 Segment i Segment i: Segment [D, A] of Polygon poly1 Segment j Segment j: Segment [C, B] of Polygon poly2 Segment k Segment k: Segment [B, E] of Polygon poly2 Segment l Segment l: Segment [E, F] of Polygon poly2 Segment m Segment m: Segment [F, C] of Polygon poly2 Segment n Segment n: Segment [F, E] of Polygon poly3 Segment p Segment p: Segment [E, G] of Polygon poly3 Segment q Segment q: Segment [G, H] of Polygon poly3 Segment r Segment r: Segment [H, F] of Polygon poly3 Segment s Segment s: Segment [H, G] of Polygon poly4 Segment t Segment t: Segment [G, I] of Polygon poly4 Segment a Segment a: Segment [I, J] of Polygon poly4 Segment b Segment b: Segment [J, H] of Polygon poly4 Segment c Segment c: Segment [B, A] of Polygon poly5 Segment d Segment d: Segment [A, K] of Polygon poly5 Segment e Segment e: Segment [K, L] of Polygon poly5 Segment f_1 Segment f_1: Segment [L, B] of Polygon poly5 Segment g_1 Segment g_1: Segment [E, B] of Polygon poly6 Segment h_1 Segment h_1: Segment [B, M] of Polygon poly6 Segment i_1 Segment i_1: Segment [M, N] of Polygon poly6 Segment j_1 Segment j_1: Segment [N, E] of Polygon poly6 Segment k_1 Segment k_1: Segment [G, E] of Polygon poly7 Segment l_1 Segment l_1: Segment [E, O] of Polygon poly7 Segment m_1 Segment m_1: Segment [O, P] of Polygon poly7 Segment n_1 Segment n_1: Segment [P, G] of Polygon poly7 Segment p_1 Segment p_1: Segment [I, G] of Polygon poly8 Segment q_1 Segment q_1: Segment [G, Q] of Polygon poly8 Segment r_1 Segment r_1: Segment [Q, R] of Polygon poly8 Segment s_1 Segment s_1: Segment [R, I] of Polygon poly8 Segment t_1 Segment t_1: Segment [L, K] of Polygon poly9 Segment a_1 Segment a_1: Segment [K, S] of Polygon poly9 Segment b_1 Segment b_1: Segment [S, T] of Polygon poly9 Segment c_1 Segment c_1: Segment [T, L] of Polygon poly9 Segment d_1 Segment d_1: Segment [N, L] of Polygon poly10 Segment e_1 Segment e_1: Segment [L, U] of Polygon poly10 Segment f_2 Segment f_2: Segment [U, V] of Polygon poly10 Segment g_2 Segment g_2: Segment [V, N] of Polygon poly10 Segment h_2 Segment h_2: Segment [P, N] of Polygon poly11 Segment i_2 Segment i_2: Segment [N, W] of Polygon poly11 Segment j_2 Segment j_2: Segment [W, Z] of Polygon poly11 Segment k_2 Segment k_2: Segment [Z, P] of Polygon poly11 Segment l_2 Segment l_2: Segment [R, P] of Polygon poly12 Segment m_2 Segment m_2: Segment [P, A_1] of Polygon poly12 Segment n_2 Segment n_2: Segment [A_1, B_1] of Polygon poly12 Segment p_2 Segment p_2: Segment [B_1, R] of Polygon poly12 Segment q_2 Segment q_2: Segment [J, I] of Polygon poly13 Segment r_2 Segment r_2: Segment [I, C_1] of Polygon poly13 Segment s_2 Segment s_2: Segment [C_1, D_1] of Polygon poly13 Segment t_2 Segment t_2: Segment [D_1, J] of Polygon poly13 Segment a_2 Segment a_2: Segment [I, R] of Polygon poly14 Segment b_2 Segment b_2: Segment [R, E_1] of Polygon poly14 Segment c_2 Segment c_2: Segment [E_1, F_1] of Polygon poly14 Segment d_2 Segment d_2: Segment [F_1, I] of Polygon poly14 Segment e_2 Segment e_2: Segment [R, B_1] of Polygon poly15 Segment f_3 Segment f_3: Segment [B_1, G_1] of Polygon poly15 Segment g_3 Segment g_3: Segment [G_1, H_1] of Polygon poly15 Segment h_3 Segment h_3: Segment [H_1, R] of Polygon poly15 Segment i_3 Segment i_3: Segment [T, S] of Polygon poly16 Segment j_3 Segment j_3: Segment [S, I_1] of Polygon poly16 Segment k_3 Segment k_3: Segment [I_1, J_1] of Polygon poly16 Segment l_3 Segment l_3: Segment [J_1, T] of Polygon poly16 Segment m_3 Segment m_3: Segment [V, T] of Polygon poly17 Segment n_3 Segment n_3: Segment [T, K_1] of Polygon poly17 Segment p_3 Segment p_3: Segment [K_1, L_1] of Polygon poly17 Segment q_3 Segment q_3: Segment [L_1, V] of Polygon poly17 Segment r_3 Segment r_3: Segment [Z, V] of Polygon poly18 Segment s_3 Segment s_3: Segment [V, M_1] of Polygon poly18 Segment t_3 Segment t_3: Segment [M_1, N_1] of Polygon poly18 Segment a_3 Segment a_3: Segment [N_1, Z] of Polygon poly18 Segment b_3 Segment b_3: Segment [B_1, Z] of Polygon poly19 Segment c_3 Segment c_3: Segment [Z, O_1] of Polygon poly19 Segment d_3 Segment d_3: Segment [O_1, P_1] of Polygon poly19 Segment e_3 Segment e_3: Segment [P_1, B_1] of Polygon poly19 Segment f_4 Segment f_4: Segment [G_1, B_1] of Polygon poly20 Segment g_4 Segment g_4: Segment [B_1, Q_1] of Polygon poly20 Segment h_4 Segment h_4: Segment [Q_1, R_1] of Polygon poly20 Segment i_4 Segment i_4: Segment [R_1, G_1] of Polygon poly20 Segment j_4 Segment j_4: Segment [S_1, T_1] Segment k_4 Segment k_4: Segment [U_1, V_1] Segment l_4 Segment l_4: Segment [W_1, Z_1] of Polygon poly21 Segment m_4 Segment m_4: Segment [Z_1, A_2] of Polygon poly21 Segment n_4 Segment n_4: Segment [A_2, B_2] of Polygon poly21 Segment p_4 Segment p_4: Segment [B_2, W_1] of Polygon poly21 Segment q_4 Segment q_4: Segment [A_2, Z_1] of Polygon poly22 Segment r_4 Segment r_4: Segment [Z_1, C_2] of Polygon poly22 Segment s_4 Segment s_4: Segment [C_2, D_2] of Polygon poly22 Segment t_4 Segment t_4: Segment [D_2, A_2] of Polygon poly22 Segment a_4 Segment a_4: Segment [D_2, C_2] of Polygon poly23 Segment b_4 Segment b_4: Segment [C_2, E_2] of Polygon poly23 Segment c_4 Segment c_4: Segment [E_2, F_2] of Polygon poly23 Segment d_4 Segment d_4: Segment [F_2, D_2] of Polygon poly23 Segment e_4 Segment e_4: Segment [F_2, E_2] of Polygon poly24 Segment f_5 Segment f_5: Segment [E_2, G_2] of Polygon poly24 Segment g_5 Segment g_5: Segment [G_2, H_2] of Polygon poly24 Segment h_5 Segment h_5: Segment [H_2, F_2] of Polygon poly24 Point S_1 S_1 = (-3.48,4.24) Point S_1 S_1 = (-3.48,4.24) Point T_1 T_1 = (-3.48,3.64) Point T_1 T_1 = (-3.48,3.64) Point U_1 U_1 = (-3.18,4.62) Point U_1 U_1 = (-3.18,4.62) Point V_1 V_1 = (-2.6,4.62) Point V_1 V_1 = (-2.6,4.62) 1 cm text1 = “1 cm” 1 cm text1_1 = “1 cm”

As Shown Figure Made by Squares

Find the perimeter of the shaded part of the given figure.

Choices

Choice (4) Response

a.

26 cm

b.

28 cm

c.

14 cm

d.

18 cm