DRILL 1

Question 1

In terms of y, what is the average (arithmetic mean) of 4y and 22 ?

    4y + 22

    4y + 11

    4y − 22

    2y + 11

    2y + 22

Question 2

Quantity A	Quantity B
The average (arith­metic mean) of 14, 22, and 48	The average (arith­metic mean) of 12, 22, and 50

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 3

2, 3, 5, 7

Quantity A	Quantity B
The average (arithmetic mean) of the numbers above	The median of the numbers above

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 4

Susan travels by car at an average speed of 50 miles per hour for 4 hours and then at an average speed of 20 miles per hour for 2 hours. What is her average speed, in miles per hour, for the entire 6-hour trip?

    25

    30

    35

    40

    45

Question 5

Liz owns 2 green t-shirts, 4 blue t-shirts, and 5 red t-shirts.

Quantity A	Quantity B
The probability that Liz randomly selects a blue t-shirt

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 6

Quantity A	Quantity B
The average (arithmetic mean) of 4 numbers, each less than 6 and greater than 5	The median of 6 numbers, each less than 5 and greater than 4

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 7

For which of the following values of x is the mode of 2x, x + 5, 3x − 2, 5x − 7, and 4x equal to 4 ?

    2

    3

    4

    5

    7

Question 8

A hat contains 18 raffle tickets, numbered 1 through 18. If two raffle tickets are chosen at random from the hat, what is the probability that both tickets are even numbers?

    

    

    

    

    

Question 9

k > j > 0

Quantity A	Quantity B
The time it takes to read k words at j words per minute	The time it takes to read (k + 10) words at (j + 10) words per minute

    Quantity A is greater.

    Quantity B is greater.

    The two quantities are equal.

    The relationship cannot be determined from the information given.

Question 10

How many committees of 5 members can be chosen from a group of 8 people?

        28

        56

      118

      336

    6,720

Question 11

The average (arithmetic mean) number of passengers on a subway car is 60. If the number of passengers on a car has a normal distribution with a standard deviation of 20, approximately what percent of subway cars carry more than 80 passengers?

    16%

    48%

    68%

    88%

    98%

Question 12

If the average of 10, 12, n, and n is greater than 25, what is the least possible value of integer n ?

    38

    39

    40

    41

    42