# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 1 - 4 of 76

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## Question number: 1

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Appeared in Year: 2014

MCQ▾

### Question

Poiting to Mohit, Sana said, “His mother’s brother is the father of my son Nitin. ” How is Mohit related to Sana?

### Choices

Choice (4)Response

a.

Niece

b.

Nephew

c.

Brother

d.

Uncle

## Question number: 2

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MCQ▾

### Question

Sixteen years ago, Tanya’s grandfather was 8 times older to her. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tanya’s age to that of her grandfather?

### Choices

Choice (4)Response

a.

1: 5

b.

3: 8

c.

1: 2

d.

None of the above

## Question number: 3

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MCQ▾

### Question

Consider the volumes of the following:

1. A parallelogram of length 5 cm, breadth 3 cm and height 4 cm

2. A cube of each side 4 cm

3. A cylinder of radius 3 cm and length 3 cm

4. A sphere of radius 3 cm

The volumes of these in the decreasing order is ________.

### Choices

Choice (4)Response

a.

4,3, 2,1

b.

4,2, 3,1

c.

1,2, 3,4

d.

1,3, 2,4

## Question number: 4

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MCQ▾

### Question

A large solid sphere of diameter 15 m is melted and recast into several small spheres of diameter 3 m. What is the percentage increase in the surface area of the smaller spheres over that of the large sphere?

### Choices

Choice (4)Response

a.

Can’t be determined

b.

c.

d.

Both a. and c. are correct

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