ACT Practice - Numbers, Proportions, and Measurement

A 48.5-ounce batch of cologne will be used to fill empty bottles. Each full bottle will contain 0.35 ounces of cologne. This batch of cologne will fill at most how many bottles full of cologne?

• A. 13

• B. 14

• C. 122

• D. 138

• E. 139

Of the 200 parking spaces in a parking lot, 6% of the spaces are reserved for handicapped parking. Of those parking spaces NOT reserved for handicapped parking, 20 are suitable for compact cars only. How many spaces that are NOT reserved for handicapped parking are suitable for noncompact cars?

• 160

• 168

• 174

• 180

• 188

You drove 18 miles in 20 minutes at a constant speed and did NOT exceed the speed limit, given in miles per hour. Among the following, which is the lowest that the speed limit could have been?

• 45

• 50

• 55

• 60

• 65

One welcome sign flashes every 8 seconds, and another welcome sign flashes every 12 seconds. At a certain instant, the 2 signs flash at the same time. How many seconds elapse until the 2 signs next flash at the same time?

• 4

• 10

• 20

• 24

• 96

The Department of Natural Resources (DNR) is estimating the deer population in Twin Pines County. Several months ago, DNR rangers captured, tagged, and then released 108 deer. Recently, DNR rangers captured 54 deer in the county and found that 36 of them had been tagged in the earlier capture. The DNR estimates the deer population in the county using the proportion below. What is the DNR estimate of the deer population in the county? (tagged deer in capture 1) / (deer population) = (tagged deer in capture 2) / (deer in capture 2)

• 108

• 126

• 144

• 162

• 198

In an arithmetic sequence, the 10th term (a₁₀) is 30 and the common difference is 2. What is the 1st term (a₁)?

• -28

• 6

• 11

• 12

• 15

A pedometer records the number of steps a person takes as he or she walks. When a pedometer records 3,898 steps taken by a person who covers a distance of 2.25 feet per step, how much distance, to the nearest 0.1 mile, did the person cover? (Note: 1 mile = 5,280 feet)

• 0.3

• 0.6

• 1.4

• 1.7

• 3.0

Among a group of 20 students, 13 students are members of the Math Club, 11 students are members of the Drama Club, and 9 students are members of both clubs. How many of the 20 students are NOT members of either club?

• 4

• 5

• 6

• 11

• 13

Shefali goes to a farmers' market every Saturday. Two Saturdays ago, Shefali purchased 3 apples and 4 oranges for a total of $3.47. Last Saturday, she purchased 12 oranges, but no apples, and spent $6.36. Today, she only has one $10 bill. Given that none of the prices have changed over the last 3 weeks, what is the maximum number of apples she can purchase today?

(Note: No sales tax is charged at this farmers' market.)

• F. 18

• G. 19

• H. 21

• J. 22

• K. 23