# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 459 - 465 of 968

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## Question number: 459

Edit
MCQ▾

### Question

If are the midpoints of the sides of , the area of the triangle is ________

### Choices

Choice (4)Response

a.

24 sq. units

b.

50 sq. units

c.

96 sq. units

d.

48 sq. units

## Question number: 460

Edit
MCQ▾

### Question

The average of 10 results is 70. If the average of the first five results is 60 and that of the last five is 70, then the fifth result is ________

### Choices

Choice (4)Response

a.

20

b.

30

c.

40

d.

50

## Question number: 461

Edit
MCQ▾

### Question

If are the vertices of a right angle triangle, right angle at P, then a is ________

### Choices

Choice (4)Response

a.

3

b.

4

c.

2

d.

1

## Question number: 462

Edit
MCQ▾

### Question

One card is drawn from a well-shuffled deck of 52 cards the probability of the card drawn is a king or queen ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 463

Edit
MCQ▾

### Question

The mean of a data is ‘p’. if each observation is multiplied by 3 and then 1 is added to each result, then the mean of the new observations so obtained is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 464

Edit
MCQ▾

### Question

The coordinates of the mid-points of the sides of a triangle are . What will be the coordinates of the centroid of the triangle?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 465

Edit
MCQ▾

### Question

A card is drawn from a packet of 100 cards numbered 50 to 150. The probability of drawing a number which is a square is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

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