IMO Level 1- Mathematics Olympiad (SOF) Class 3: Questions 467 - 468 of 582

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Question number: 467

» Geometry

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MCQ▾

Question

Which of the following is shape has two circular ends?

Choices

Choice (4)Response

a.

The objects are given Choice - A

The Objects Are Given Choice - A

Find the shape has two circular ends.

b.

The objects are given Choice - B

The Objects Are Given Choice - B

Find the shape has two circular ends.

c.

The objects are given Choice - C

The Objects Are Given Choice - C

Find the shape has two circular ends.

d.

The objects are given Choice - D

The Objects Are Given Choice - D

Find the shape has two circular ends.

Passage

This is a cube.

Quadrilateral poly1Quadrilateral poly1: Polygon C, D, E, FQuadrilateral poly2Quadrilateral poly2: Polygon D, G, H, EQuadrilateral poly3Quadrilateral poly3: Polygon F, I, H, ESegment cSegment c: Segment [C, D] of Quadrilateral poly1Segment dSegment d: Segment [D, E] of Quadrilateral poly1Segment eSegment e: Segment [E, F] of Quadrilateral poly1Segment fSegment f: Segment [F, C] of Quadrilateral poly1Segment d_1Segment d_1: Segment [D, G] of Quadrilateral poly2Segment gSegment g: Segment [G, H] of Quadrilateral poly2Segment hSegment h: Segment [H, E] of Quadrilateral poly2Segment e_1Segment e_1: Segment [E, D] of Quadrilateral poly2Segment f_1Segment f_1: Segment [F, I] of Quadrilateral poly3Segment iSegment i: Segment [I, H] of Quadrilateral poly3Segment h_1Segment h_1: Segment [H, E] of Quadrilateral poly3Segment e_2Segment e_2: Segment [E, F] of Quadrilateral poly3

Cube Are Given in Image

Showing image of cube

Question number: 468 (1 of 2 Based on Passage) Show Passage

» Geometry

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MCQ▾

Question

How many of these cubes are needed to make the figures shown?

Polygon poly1Polygon poly1: Polygon C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, Z, A_1, B_1Quadrilateral poly2Quadrilateral poly2: Polygon F, C_1, D_1, E_1Quadrilateral poly3Quadrilateral poly3: Polygon D_1, F_1, G_1, H_1Quadrilateral poly4Quadrilateral poly4: Polygon G_1, I_1, R, J_1Quadrilateral poly5Quadrilateral poly5: Polygon H, K_1, L_1, M_1Quadrilateral poly6Quadrilateral poly6: Polygon L_1, N_1, P, O_1Quadrilateral poly7Quadrilateral poly7: Polygon J, P_1, N, Q_1Quadrilateral poly8Quadrilateral poly8: Polygon D, R_1, B_1, CQuadrilateral poly9Quadrilateral poly9: Polygon B_1, A_1, Z, S_1Quadrilateral poly10Quadrilateral poly10: Polygon Z, W, V, T_1Quadrilateral poly11Quadrilateral poly11: Polygon V, U, T, U_1Quadrilateral poly12Quadrilateral poly12: Polygon R_1, F, C_1, B_1Quadrilateral poly13Quadrilateral poly13: Polygon S_1, D_1, F_1, ZQuadrilateral poly14Quadrilateral poly14: Polygon T_1, G_1, I_1, VQuadrilateral poly15Quadrilateral poly15: Polygon U_1, R, S, TQuadrilateral poly16Quadrilateral poly16: Polygon E_1, H, K_1, D_1Quadrilateral poly17Quadrilateral poly17: Polygon H_1, L_1, N_1, G_1Quadrilateral poly18Quadrilateral poly18: Polygon J_1, P, Q, RQuadrilateral poly19Quadrilateral poly19: Polygon M_1, J, P_1, L_1Quadrilateral poly20Quadrilateral poly20: Polygon O_1, N, O, PQuadrilateral poly21Quadrilateral poly21: Polygon Q_1, L, M, NSegment cSegment c: Segment [C, D] of Polygon poly1Segment dSegment d: Segment [D, E] of Polygon poly1Segment eSegment e: Segment [E, F] of Polygon poly1Segment fSegment f: Segment [F, G] of Polygon poly1Segment gSegment g: Segment [G, H] of Polygon poly1Segment hSegment h: Segment [H, I] of Polygon poly1Segment iSegment i: Segment [I, J] of Polygon poly1Segment jSegment j: Segment [J, K] of Polygon poly1Segment kSegment k: Segment [K, L] of Polygon poly1Segment lSegment l: Segment [L, M] of Polygon poly1Segment mSegment m: Segment [M, N] of Polygon poly1Segment nSegment n: Segment [N, O] of Polygon poly1Segment oSegment o: Segment [O, P] of Polygon poly1Segment pSegment p: Segment [P, Q] of Polygon poly1Segment qSegment q: Segment [Q, R] of Polygon poly1Segment rSegment r: Segment [R, S] of Polygon poly1Segment sSegment s: Segment [S, T] of Polygon poly1Segment tSegment t: Segment [T, U] of Polygon poly1Segment uSegment u: Segment [U, V] of Polygon poly1Segment vSegment v: Segment [V, W] of Polygon poly1Segment wSegment w: Segment [W, Z] of Polygon poly1Segment z_1Segment z_1: Segment [Z, A_1] of Polygon poly1Segment a_1Segment a_1: Segment [A_1, B_1] of Polygon poly1Segment b_1Segment b_1: Segment [B_1, C] of Polygon poly1Segment f_1Segment f_1: Segment [F, C_1] of Quadrilateral poly2Segment c_1Segment c_1: Segment [C_1, D_1] of Quadrilateral poly2Segment d_1Segment d_1: Segment [D_1, E_1] of Quadrilateral poly2Segment e_1Segment e_1: Segment [E_1, F] of Quadrilateral poly2Segment d_2Segment d_2: Segment [D_1, F_1] of Quadrilateral poly3Segment f_2Segment f_2: Segment [F_1, G_1] of Quadrilateral poly3Segment g_1Segment g_1: Segment [G_1, H_1] of Quadrilateral poly3Segment h_1Segment h_1: Segment [H_1, D_1] of Quadrilateral poly3Segment g_2Segment g_2: Segment [G_1, I_1] of Quadrilateral poly4Segment i_1Segment i_1: Segment [I_1, R] of Quadrilateral poly4Segment r_1Segment r_1: Segment [R, J_1] of Quadrilateral poly4Segment j_1Segment j_1: Segment [J_1, G_1] of Quadrilateral poly4Segment h_2Segment h_2: Segment [H, K_1] of Quadrilateral poly5Segment k_1Segment k_1: Segment [K_1, L_1] of Quadrilateral poly5Segment l_1Segment l_1: Segment [L_1, M_1] of Quadrilateral poly5Segment m_1Segment m_1: Segment [M_1, H] of Quadrilateral poly5Segment l_2Segment l_2: Segment [L_1, N_1] of Quadrilateral poly6Segment n_1Segment n_1: Segment [N_1, P] of Quadrilateral poly6Segment p_1Segment p_1: Segment [P, O_1] of Quadrilateral poly6Segment o_1Segment o_1: Segment [O_1, L_1] of Quadrilateral poly6Segment j_2Segment j_2: Segment [J, P_1] of Quadrilateral poly7Segment p_2Segment p_2: Segment [P_1, N] of Quadrilateral poly7Segment n_2Segment n_2: Segment [N, Q_1] of Quadrilateral poly7Segment q_1Segment q_1: Segment [Q_1, J] of Quadrilateral poly7Segment d_3Segment d_3: Segment [D, R_1] of Quadrilateral poly8Segment r_2Segment r_2: Segment [R_1, B_1] of Quadrilateral poly8Segment b_2Segment b_2: Segment [B_1, C] of Quadrilateral poly8Segment c_2Segment c_2: Segment [C, D] of Quadrilateral poly8Segment b_3Segment b_3: Segment [B_1, A_1] of Quadrilateral poly9Segment a_2Segment a_2: Segment [A_1, Z] of Quadrilateral poly9Segment z_2Segment z_2: Segment [Z, S_1] of Quadrilateral poly9Segment s_1Segment s_1: Segment [S_1, B_1] of Quadrilateral poly9Segment z_3Segment z_3: Segment [Z, W] of Quadrilateral poly10Segment w_1Segment w_1: Segment [W, V] of Quadrilateral poly10Segment v_1Segment v_1: Segment [V, T_1] of Quadrilateral poly10Segment t_1Segment t_1: Segment [T_1, Z] of Quadrilateral poly10Segment v_2Segment v_2: Segment [V, U] of Quadrilateral poly11Segment u_1Segment u_1: Segment [U, T] of Quadrilateral poly11Segment t_2Segment t_2: Segment [T, U_1] of Quadrilateral poly11Segment u_2Segment u_2: Segment [U_1, V] of Quadrilateral poly11Segment r_3Segment r_3: Segment [R_1, F] of Quadrilateral poly12Segment f_3Segment f_3: Segment [F, C_1] of Quadrilateral poly12Segment c_3Segment c_3: Segment [C_1, B_1] of Quadrilateral poly12Segment b_4Segment b_4: Segment [B_1, R_1] of Quadrilateral poly12Segment s_2Segment s_2: Segment [S_1, D_1] of Quadrilateral poly13Segment d_4Segment d_4: Segment [D_1, F_1] of Quadrilateral poly13Segment f_4Segment f_4: Segment [F_1, Z] of Quadrilateral poly13Segment z_4Segment z_4: Segment [Z, S_1] of Quadrilateral poly13Segment t_3Segment t_3: Segment [T_1, G_1] of Quadrilateral poly14Segment g_3Segment g_3: Segment [G_1, I_1] of Quadrilateral poly14Segment i_2Segment i_2: Segment [I_1, V] of Quadrilateral poly14Segment v_3Segment v_3: Segment [V, T_1] of Quadrilateral poly14Segment u_3Segment u_3: Segment [U_1, R] of Quadrilateral poly15Segment r_4Segment r_4: Segment [R, S] of Quadrilateral poly15Segment s_3Segment s_3: Segment [S, T] of Quadrilateral poly15Segment t_4Segment t_4: Segment [T, U_1] of Quadrilateral poly15Segment e_2Segment e_2: Segment [E_1, H] of Quadrilateral poly16Segment h_3Segment h_3: Segment [H, K_1] of Quadrilateral poly16Segment k_2Segment k_2: Segment [K_1, D_1] of Quadrilateral poly16Segment d_5Segment d_5: Segment [D_1, E_1] of Quadrilateral poly16Segment h_4Segment h_4: Segment [H_1, L_1] of Quadrilateral poly17Segment l_3Segment l_3: Segment [L_1, N_1] of Quadrilateral poly17Segment n_3Segment n_3: Segment [N_1, G_1] of Quadrilateral poly17Segment g_4Segment g_4: Segment [G_1, H_1] of Quadrilateral poly17Segment j_3Segment j_3: Segment [J_1, P] of Quadrilateral poly18Segment p_3Segment p_3: Segment [P, Q] of Quadrilateral poly18Segment q_2Segment q_2: Segment [Q, R] of Quadrilateral poly18Segment r_5Segment r_5: Segment [R, J_1] of Quadrilateral poly18Segment m_2Segment m_2: Segment [M_1, J] of Quadrilateral poly19Segment j_4Segment j_4: Segment [J, P_1] of Quadrilateral poly19Segment p_4Segment p_4: Segment [P_1, L_1] of Quadrilateral poly19Segment l_4Segment l_4: Segment [L_1, M_1] of Quadrilateral poly19Segment o_2Segment o_2: Segment [O_1, N] of Quadrilateral poly20Segment n_4Segment n_4: Segment [N, O] of Quadrilateral poly20Segment o_3Segment o_3: Segment [O, P] of Quadrilateral poly20Segment p_5Segment p_5: Segment [P, O_1] of Quadrilateral poly20Segment q_3Segment q_3: Segment [Q_1, L] of Quadrilateral poly21Segment l_5Segment l_5: Segment [L, M] of Quadrilateral poly21Segment m_3Segment m_3: Segment [M, N] of Quadrilateral poly21Segment n_5Segment n_5: Segment [N, Q_1] of Quadrilateral poly21

The Figure Made by Cube

Find the how many cubes in given figure

Choices

Choice (4)Response

a.

15

b.

12

c.

10

d.

11

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