IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 551 - 553 of 1059

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Question number: 551

» Basic Geometrical Ideas

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MCQ▾

Question

The two rays of an angle are called ________.

Choices

Choice (4) Response

a.

Two parts of the angle

b.

Lines of the angle

c.

Two arms of the angle

d.

None of the above

Question number: 552

» Fractions

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MCQ▾

Question

How many more equal-sized pieces would you need to make a whole for the given figure?

Hexagon poly1 Hexagon poly1: Polygon A, B, C, D, E, F Segment a Segment a: Segment [A, B] of Hexagon poly1 Segment b Segment b: Segment [B, C] of Hexagon poly1 Segment c Segment c: Segment [C, D] of Hexagon poly1 Segment d Segment d: Segment [D, E] of Hexagon poly1 Segment e Segment e: Segment [E, F] of Hexagon poly1 Segment f Segment f: Segment [F, A] of Hexagon poly1 Segment g Segment g: Segment [G, H] Segment h Segment h: Segment [H, I] Segment i Segment i: Segment [H, J] Segment j Segment j: Segment [H, K]

Image of a Hexagon with Three Equal-Sized Pieces

Find the equal-sized pieces that can complete the given circle

Choices

Choice (4) Response

a.

3

b.

1

c.

4

d.

6

Question number: 553

» Fractions

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MCQ▾

Question

In which of the following does the shaded part represent one fourth of its whole?

Choices

Choice (4) Response

a.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Quadrilateral poly2 Quadrilateral poly2: Polygon A, E, F, G 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_3 Quadrilateral poly2_3: Polygon A_3, E_3, F_3, G_3 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_1 Segment a_1: Segment [A, E] of Quadrilateral poly2 Segment e Segment e: Segment [E, F] of Quadrilateral poly2 Segment f Segment f: Segment [F, G] of Quadrilateral poly2 Segment g Segment g: Segment [G, A] of Quadrilateral poly2 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_6 Segment a_6: Segment [A_3, E_3] of Quadrilateral poly2_3 Segment e_3 Segment e_3: Segment [E_3, F_3] of Quadrilateral poly2_3 Segment f_3 Segment f_3: Segment [F_3, G_3] of Quadrilateral poly2_3 Segment g_3 Segment g_3: Segment [G_3, A_3] of Quadrilateral poly2_3

Image of Geometric Shape with One Shaded Part: Choice A

Find the figure that has one fourth fraction of shaded part

b.

Polygon poly1 Polygon poly1: Polygon [A, B, 6] Polygon poly1 Polygon poly1: Polygon [A, B, 6] Triangle poly2 Triangle poly2: Polygon G, H, I Triangle poly3 Triangle poly3: Polygon G, J, I Triangle poly4 Triangle poly4: Polygon G, J, K Triangle poly5 Triangle poly5: Polygon G, K, L Triangle poly6 Triangle poly6: Polygon G, M, L Triangle poly7 Triangle poly7: Polygon G, M, H 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, E] of Polygon poly1 Segment j Segment j: Segment [E, F] of Polygon poly1 Segment k Segment k: Segment [F, A] of Polygon poly1 Segment i_1 Segment i_1: Segment [G, H] of Triangle poly2 Segment g_1 Segment g_1: Segment [H, I] of Triangle poly2 Segment h_1 Segment h_1: Segment [I, G] of Triangle poly2 Segment i_2 Segment i_2: Segment [G, J] of Triangle poly3 Segment g_2 Segment g_2: Segment [J, I] of Triangle poly3 Segment j_1 Segment j_1: Segment [I, G] of Triangle poly3 Segment k_1 Segment k_1: Segment [G, J] of Triangle poly4 Segment g_3 Segment g_3: Segment [J, K] of Triangle poly4 Segment j_2 Segment j_2: Segment [K, G] of Triangle poly4 Segment l Segment l: Segment [G, K] of Triangle poly5 Segment g_4 Segment g_4: Segment [K, L] of Triangle poly5 Segment k_2 Segment k_2: Segment [L, G] of Triangle poly5 Segment l_1 Segment l_1: Segment [G, M] of Triangle poly6 Segment g_5 Segment g_5: Segment [M, L] of Triangle poly6 Segment m Segment m: Segment [L, G] of Triangle poly6 Segment h_2 Segment h_2: Segment [G, M] of Triangle poly7 Segment g_6 Segment g_6: Segment [M, H] of Triangle poly7 Segment m_1 Segment m_1: Segment [H, G] of Triangle poly7

Image of Geometric Shape with One Shaded Part: Choice B

Find the figure that has one fourth fraction of shaded part

c.

Triangle poly1 Triangle poly1: Polygon A, B, C Triangle poly2 Triangle poly2: Polygon F, G, H Segment c Segment c: Segment [A, B] of Triangle poly1 Segment a Segment a: Segment [B, C] of Triangle poly1 Segment b Segment b: Segment [C, A] of Triangle poly1 Segment h Segment h: Segment [F, G] of Triangle poly2 Segment f Segment f: Segment [G, H] of Triangle poly2 Segment g Segment g: Segment [H, F] of Triangle poly2

Image of Geometric Shape with One Shaded Part: Choice C

Find the figure that has one fourth fraction of shaded part

d.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Quadrilateral poly1_1 Quadrilateral poly1_1: Polygon A_1, B_1, C_1, D_1 Quadrilateral poly1_3 Quadrilateral poly1_3: Polygon A_3, B_3, C_3, D_4 Quadrilateral poly1_2 Quadrilateral poly1_2: Polygon A_5, B_4, C_4, D_5 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_1 Segment a_1: Segment [A_1, B_1] of Quadrilateral poly1_1 Segment b_1 Segment b_1: Segment [B_1, C_1] of Quadrilateral poly1_1 Segment c_1 Segment c_1: Segment [C_1, D_1] of Quadrilateral poly1_1 Segment d_1 Segment d_1: Segment [D_1, A_1] of Quadrilateral poly1_1 Segment a_3 Segment a_3: Segment [A_3, B_3] of Quadrilateral poly1_3 Segment b_3 Segment b_3: Segment [B_3, C_3] of Quadrilateral poly1_3 Segment c_3 Segment c_3: Segment [C_3, D_4] of Quadrilateral poly1_3 Segment d_3 Segment d_3: Segment [D_4, A_3] of Quadrilateral poly1_3 Segment a_2 Segment a_2: Segment [A_5, B_4] of Quadrilateral poly1_2 Segment b_2 Segment b_2: Segment [B_4, C_4] of Quadrilateral poly1_2 Segment c_2 Segment c_2: Segment [C_4, D_5] of Quadrilateral poly1_2 Segment d_2 Segment d_2: Segment [D_5, A_5] of Quadrilateral poly1_2

Image of Geometric Shape with One Shaded Part: Choice D

Find the figure that has one fourth fraction of shaded part