# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 112 - 118 of 929

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## Question number: 112

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MCQ▾

### Question

If , and , then x and y respectively are ________

### Choices

Choice (4)Response

a.

35˚, 55˚

b.

90˚, 30˚

c.

45˚, 35˚

d.

65˚, 25˚

## Question number: 113

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MCQ▾

### Question

In the given figure, XY is a mirror, AB is the incident ray and BC is the reflected ray. If ∠ABC = 116˚, then ∠CBY is ________

### Choices

Choice (4)Response

a.

43˚

b.

21˚

c.

23˚

d.

32˚

## Question number: 114

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MCQ▾

### Question

In the given figure and , then value of x is________.

### Choices

Choice (4)Response

a.

140˚

b.

105˚

c.

135˚

d.

125˚

## Question number: 115

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MCQ▾

### Question

How many sides does a regular polygon have, each angle of which is of measure 135˚?

### Choices

Choice (4)Response

a.

6

b.

8

c.

7

d.

9

## Question number: 116

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MCQ▾

### Question

Two supplementary angles differ by 94˚. Then the angles are ________

### Choices

Choice (4)Response

a.

120˚, 60˚

b.

142˚, 38˚

c.

137˚, 43˚

d.

67˚, 113˚

## Question number: 117

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MCQ▾

### Question

In the figure below, lines PQ and JK intersect at O. if and , then are equal to ________

### Choices

Choice (4)Response

a.

56˚

b.

54˚

c.

58˚

d.

90˚

## Question number: 118

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MCQ▾

### Question

A die is rolled 10,500 times. The frequency of each outcome is shown in the table. What is the empirical probability of the outcomes of multiples of 3?

### Choices

Choice (4)Response

a.

b.

c.

d.

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