Mathematical Reasoning 4

Several numbers, some of which are the same, are represented by variables and arranged

in order from least to greatest. The list of numbers is as follows:

a, b, b, c, d, d, d

What is the median of the numbers?

• c

• d

• d-a

• (a+b+c+d)/4

To convert Celsius temperature to Fahrenheit temperature, the following procedure is used:

Multiply Celsius degrees by 9, divide by 5, then add 32.

If a temperature reading is 40° Celsius, what is the equivalent temperature in degrees

Fahrenheit?

• 104

• 100

• 32

• not enough information is given

In the diagram below, segment AD is perpendicular to segment BC, and segment AB is

perpendicular to segment BD. If the measure of angle A is 50°, what is the measure, in degrees, of angle D?

• 150

• 130

• 50

• 40

• not enough information is given

Shelly paid a total of $80 for seven tickets for a hockey game. Five of the tickets were in

the cheapest price range, and two were in the most expensive range. If the cheaper tickets

were $10 each, which of the following equations could be used to determine x, the price (in

dollars) of the expensive ones?

• 7(10) + 2x = 80

• 2(10) + 7x = 80

• 5(10) + 2x = 80

• 2(10) + 5x = 80

• 5(10) + 7x = 80

The number of games in a shipment must be a multiple of 25 and 40. What is the FEWEST

number of games that could be in the shipment?

• 800

• 200

• 120

• 75

• 5

Which point is the midpoint of segment AB?

• (1,2)

• (0,0)

• (-2,1)

• (4,3)

• (2,1)

How many minutes after the medication is taken is the increase from the initial pulse rate

the greatest?

• 3

• 5

• 7

• 9

• 10

A discount electronics store had a month-long sale on CD players. On average, one out of

every 36 customers who purchased a CD player was dissatisfied and returned it to the

store.If 576 CD players were sold, how many were returned?

• 16

• 36

• 1

• not enough information is given

Margaret’s monthly income is $1200. Of that income, 25% is used to pay her rent, and

another 10% goes into savings.

How much of her monthly income can Margaret use for expenses other than rent and savings?

• $780

• $480

• $420

• $350

The Dewey Decimal System (DDS) is used to organize books in many libraries. Each book

is assigned a number based on its content and author. Listed at the left are five books

classified under American Literature in English and their corresponding DDS number.

If the books were arranged on a shelf with the lowest number to the left, which of the books

would appear farthest to the left?

• City Lights

• Dawn Breaks

• Laughing Clowns

• Strawberry Fields

• Winter Palace