IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 255 - 259 of 929

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Question number: 255

» Lines, Angles and Quadrilaterals

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MCQ▾

Question

A triangle and a parallelogram are equal in area. They also have the same altitude. If the base of the triangle is 22 inches, the area of the trapezoid is ________.

Choices

Choice (4) Response

a.

19 inches

b.

11 inches

c.

Not obtainable from these data

d.

2 inches

Question number: 256

» Lines, Angles and Quadrilaterals

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Question

In the figure, PQRS is a square. A line segment SX cuts the side QR at X and the diagonal PR at O such that , then y = ________

Given in image PQRS is a square

Given in Image PQRS is a Square

Given in image PQRS is a square. A line segment SX cuts the side QR at X and the diagonal PR at O find the value of y

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 257

» Surface Area and Volumes

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Question

A cylindrical vessel 80 cm in diameter is partially filled with water. A sphere, 80 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?

Choices

Choice (4) Response

a.

30.33 cm

b.

53.33 cm

c.

40.33 cm

d.

15.33 cm

Question number: 258

» Surface Area and Volumes

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MCQ▾

Question

A spherical ball of lead, 5 cm in diameter is melted and recast into two spherical balls. The diameter of one of these is 4 cm. The radius of the second ball is________

Choices

Choice (4) Response

a.

2.51 cm

b.

2.26 cm

c.

3.51 cm

d.

3.94 cm

Question number: 259

» Lines, Angles and Quadrilaterals

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MCQ▾

Question

In the figure, If and , then

Given the LM is parallel to CB and LN is parallel to CD

Given the LM is Parallel to CB and LN is Parallel to CD

Given the LM is parallel to CB and LN is parallel to CD and find the ratio of AM: MB equal value

Choices

Choice (4) Response

a.

b.

c.

d.