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

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## Question number: 294

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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

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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

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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

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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

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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

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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. 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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