AMCAT Math 2

Question 1

A train travels 360 km in 4 hours. If it increases its speed by 30 km/h, how long will it take to cover the same distance?

Accepted Answer

3 hours

Answer

3.5 hours

Answer

2.5 hours

Answer

4 hours

Question 2

If 2x + 3y = 12 and x - y = 1, what is the value of x?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 3

A rectangle has a perimeter of 54 cm and its length is twice its width. What is the area of the rectangle?

Accepted Answer

162 cm²

Answer

108 cm²

Answer

81 cm²

Answer

54 cm²

Question 4

What is the compound interest on $5,000 at 10% per annum for 2 years, compounded annually?

Accepted Answer

$1,050

Answer

$1,000

Answer

$1,100

Answer

$1,025

Question 5

The average of 5 numbers is 20. If one number is removed, the average becomes 18. What is the removed number?

Accepted Answer

28

Answer

22

Answer

26

Answer

30

Question 6

If log₂(32) = x, what is the value of x?

Accepted Answer

5

Answer

4

Answer

6

Answer

8

Question 7

A bag contains 4 red, 5 blue, and 6 green balls. What is the probability of drawing a blue ball at random?

Accepted Answer

5/15

Answer

1/3

Answer

4/15

Answer

6/15