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

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## Question 459

### Question

MCQ▾

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 460

### Question

MCQ▾

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 461

### Question

MCQ▾

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 462

### Question

MCQ▾

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 463

### Question

MCQ▾

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 464

### Question

MCQ▾

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 465

### Question

MCQ▾

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.