Geometry (IMO Level 1- Mathematics Olympiad (SOF) Class 4): Questions 1 - 6 of 66

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Passage

Line P and five points are shown on the grid.

Polygon poly1 Polygon poly1: Polygon [A, B, 4] Polygon poly1 Polygon poly1: Polygon [A, B, 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 [E, F] Segment k Segment k: Segment [G, H] Segment l Segment l: Segment [I, J] Segment m Segment m: Segment [K, L] Segment n Segment n: Segment [M, N] Segment p Segment p: Segment [O, P] Segment q Segment q: Segment [Q, R] Segment r Segment r: Segment [S, T] Segment s Segment s: Segment [U, V] Segment t Segment t: Segment [W, Z] Segment a Segment a: Segment [A_1, B_1] Segment a_1 Segment a_1: Segment [A_2, B_2] Segment a_2 Segment a_2: Segment [A_4, B_4] Segment a_3 Segment a_3: Segment [A_6, B_6] Segment a_4 Segment a_4: Segment [A_8, B_8] Segment a_5 Segment a_5: Segment [A_ {10}, B_ {10} ] Segment a_6 Segment a_6: Segment [A_ {12}, B_ {12} ] Segment a_7 Segment a_7: Segment [A_ {14}, B_ {14} ] Segment a_8 Segment a_8: Segment [A_ {16}, B_ {16} ] Segment a_9 Segment a_9: Segment [A_ {18}, B_ {18} ] Segment a_ {10} Segment a_ {10}: Segment [A_ {20}, B_ {20} ] Segment b Segment b: Segment [E_1, F_1] Point E_1 Point E_1: Intersection point of k, a_2 Point E_1 Point E_1: Intersection point of k, a_2 Point F_1 Point F_1: Intersection point of r, a_2 Point F_1 Point F_1: Intersection point of r, a_2 Point G_1 Point G_1: Intersection point of r, a_6 Point G_1 Point G_1: Intersection point of r, a_6 Point I_1 Point I_1: Intersection point of r, a_4 Point I_1 Point I_1: Intersection point of r, a_4 Point K_1 Point K_1: Intersection point of r, a_ {10} Point K_1 Point K_1: Intersection point of r, a_ {10} Point J_1 Point J_1: Intersection point of r, a_8 Point J_1 Point J_1: Intersection point of r, a_8 Point H_1 Point H_1: Intersection point of m, a_6 Point H_1 Point H_1: Intersection point of m, a_6 P text1 = “P” M text1_1 = “M” N text1_2 = “N” O text1_3 = “O” R text1_4 = “R” Q text1_5 = “Q”

Image Shows the Grid and Line P with Some Points

Showing image of the grid and line P with some points

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

» Geometry

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MCQ▾

Question

Which two points appears to lie on the same line that is similar to line P?

Choices

Choice (4) Response

a.

M and N

b.

R and Q

c.

M and O

d.

Q and M

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

» Geometry

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MCQ▾

Question

If the points M, N, O, R, and Q are joined together how many triangles can be formed?

Choices

Choice (4) Response

a.

4

b.

8

c.

10

d.

6

Question number: 3

» Geometry

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MCQ▾

Question

If radius of the circle is third odd prime number, how much is its diameter?

Choices

Choice (4) Response

a.

23 units

b.

10 units

c.

14 units

d.

All of the above

Question number: 4

» Geometry

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MCQ▾

Question

Which pair of figures are exactly same?

Choices

Choice (4) Response

a.

The pair of different shapes are given in image : Choice - A

The Pair of Different Shapes Are Given in Image: Choice - A

Find the exactly similar shape

b.

The pair of different shapes are given in image : Choice - B

The Pair of Different Shapes Are Given in Image: Choice - B

Find the exactly similar shape

c.

The pair of different shapes are given in image : Choice - C

The Pair of Different Shapes Are Given in Image: Choice - C

Find the exactly similar shape

d.

The pair of different shapes are given in image : Choice - D

The Pair of Different Shapes Are Given in Image: Choice - D

Find the exactly similar shape

Question number: 5

» Geometry

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MCQ▾

Question

Mehul plans to cover the boundary of park with tiles. What should Mehul know to make sure he buys enough tiles?

Choices

Choice (4) Response

a.

Area of park

b.

Length of park

c.

Perimeter of park

d.

All of the above

Question number: 6

» Geometry

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MCQ▾

Question

WXYZ and MNOP are rectangles. Find ZN.

Quadrilateral poly1 Quadrilateral poly1: Polygon A, B, C, D Pentagon poly2 Pentagon poly2: Polygon E, F, G, H, C 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 e Segment e: Segment [E, F] of Pentagon poly2 Segment f Segment f: Segment [F, G] of Pentagon poly2 Segment g Segment g: Segment [G, H] of Pentagon poly2 Segment h Segment h: Segment [H, C] of Pentagon poly2 Segment c_1 Segment c_1: Segment [C, E] of Pentagon poly2 Segment i Segment i: Segment [I, J] Segment i_1 Segment i_1: Segment [I_1, J_1] Segment i_2 Segment i_2: Segment [I_2, J_2] Point I I = (-3.06,4.08) Point I I = (-3.06,4.08) Point J J = (-0.34,4.08) Point J J = (-0.34,4.08) Point I_1 I_1 = (-1.38,1.12) Point I_1 I_1 = (-1.38,1.12) Point J_1 J_1 = (1.84,1.1) Point J_1 J_1 = (1.84,1.1) Point I_2 I_2 = (-3,2.2) Point I_2 I_2 = (-3,2.2) Point J_2 J_2 = (-1.62,2.2) Point J_2 J_2 = (-1.62,2.2) 12 cm text1 = “12 cm” 8 cm text1_1 = “8 cm” 15 cm text1_2 = “15 cm” W text2 = “W” X text2_1 = “X” Y text2_2 = “Y” M text2_3 = “M” Z text2_4 = “Z” N text2_5 = “N” O text2_6 = “O” P text2_7 = “P”

Image Shows the WXYZ and MNOP Are Rectangles

Find the length of ZN

Choices

Choice (4) Response

a.

8 cm

b.

10 cm

c.

9 cm

d.

11 cm

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