IMO- Mathematics Olympiad Class 9: Questions 255 - 259 of 919

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Question number: 255

» Surface Area and Volumes

MCQ▾

Question

A covered wooden box has the inner measures as 115 cm, 75 cm, 35 cm and the thickness of wood is 2.5 cm. Then the volume of the wood is________

Choices

Choice (4) Response

a.

80, 000 cu. Cm

b.

82, 125 cu. Cm

c.

85, 000 cu. Cm

d.

84, 000 cu. Cm

Question number: 256

» Lines, Angles and Quadrilaterals

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.

2 inches

b.

Not obtainable from these data

c.

19 inches

d.

11 inches

Question number: 257

» Lines, Angles and Quadrilaterals

MCQ▾

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 ROS=105° , 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.

90˚

b.

40˚

c.

60˚

d.

80˚

Question number: 258

» Surface Area and Volumes

MCQ▾

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.

15.33 cm

d.

40.33 cm

Question number: 259

» Surface Area and Volumes

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.

3.51 cm

c.

2.26 cm

d.

3.94 cm

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