IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 294 - 299 of 929

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Question number: 294

» Triangles and Circles

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MCQ▾

Question

Centroid of a triangle is the point of concurrency of its ________

Choices

Choice (4) Response

a.

Triangle

b.

Perpendicular bisectors

c.

Medians

d.

Angle

Question number: 295

» Surface Area and Volumes

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MCQ▾

Question

216 plastic balls each of radius r are melted together to from one big sphere of radius R. then the ratio of surface area of the big sphere to that of a ball is ________

Choices

Choice (4) Response

a.

9

b.

36

c.

d.

Question number: 296

» Surface Area and Volumes

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MCQ▾

Question

The base and height of the triangle are in the ratio . The area of the triangle is , then height of triangle = ________

Choices

Choice (4) Response

a.

18 cm

b.

19 cm

c.

20 cm

d.

22 cm

Question number: 297

» Surface Area and Volumes

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MCQ▾

Question

The area of a square and a rectangle are equal. The side of square is 12 cm and the length of rectangle is 16 cm. the perimeter of the rectangle is ________

Choices

Choice (4) Response

a.

75 cm

b.

144 cm

c.

25 cm

d.

50 cm

Question number: 298

» Triangles and Circles

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MCQ▾

Question

In triangle XYZ, the altitude from X to YZ meets YZ at K, and the altitude from Y to XZ meets XK at M. if , and , if then the length of MK is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 299

» Surface Area and Volumes

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MCQ▾

Question

In the given figure, PQRS is a square of side 2a with centers P, Q, R and S, four circles are drawn such that each circle touch externally two of the remaining three circles. Then the area of the shaded region is ________

Given the PQRS is a square of side 2a and 4 circles are drawn

Given the PQRS is a Square of Side 2a and 4 Circles Are Drawn

Given the PQRS is a square of side 2a. With centres P, Q, R and S, four circles are drawn such that each circle touch externally two of the remaining three circles find the area of shaded region

Choices

Choice (4) Response

a.

b.

c.

d.

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