Quantitative Reasoning Diagnostic

The first four terms in a sequence are shown below. What is the sixth term in the sequence?

{3, 6, 11, 18, …}

• 38

• 40

• 41

• 50

A basket contains 30 marbles and the average weight of each of these marbles is 15 g. The five heaviest marbles have an average weight of 30 g each, and these are removed from the basket. What is the average weight of the remaining marbles?

• 10

• 12

• 15

• 20

How much greater is the value of 3x + 5 than the value of 3x − 7?

• -12

• 10

• 12

• 14

On a map, the length of the road from City A to City B is measured to be 18 inches. On this map, ¼ inch represents an actual distance of 10 miles. What is the actual distance, in miles, from City A to City B along this road?

• 580

• 720

• 960

• 1140

This pie chart shows Al’s monthly expenses. If Al spent $210 on transportation in one month, how much did he spend on food in that month?

• 126

• 250

• 325

• 350

Danielle drives from her house to work at an average speed of 50 miles per hour. On her return home from work, she drives at an average speed of 60 miles per hour. What was her maximum speed on the round trip in miles per hour?

• 50

• 55

• 60

• Not Enough Information Given

If the area of a circle is 100π, what is the circumference of the circle?

• 5π

• 10π

• 15π

• 20π

The price of company XYZ’s stock increased by 10 percent in the month of July and decreased by 10 percent in the month of August. What is the percent change in the price of the stock over the two month period?

• 1% decrease

• No Change

• 1% increase

• 1.1% increase

If Δ(x) = 2x2 +3, what is the smallest possible value of Δ(x) ?

• 0

• 2

• 3

• 6

If the sum of the positive integers from 1 to n is 1275, and the sum of the positive integers from n + 1 to 2n is 3775, which of the following represents the sum of the positive integers from 1 to 2n inclusive?

• 2550

• 3750

• 5000

• 5050