ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : Mode

The following is a list of days of the month that the new moon was in the sky:

 What is the mode?

Possible Answers:

Correct answer:

Explanation:

The mode is the most frequently occurring number in a data set. Since  is the only repeated number, it is the mode.

Example Question #101 : Data Analysis

What is the mode of the following list of numbers:

?

Possible Answers:

Correct answer:

Explanation:

The mode is the number that occurs the most. Since  occurs more than  and any other number, it is the mode.

Example Question #1 : Mode

Find the mode of the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

Since there is no one number that occurs more than another, the answer is no mode.

Example Question #2811 : Act Math

Find the mode of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find mode, simply find the number that occurs most frequently.

Since there isn't a number that occurs more than once, there is no mode.

Example Question #2812 : Act Math

Find the mode of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find mode, simply find the most frequent number. Thus, you answer is .

Example Question #2813 : Act Math

Gradechart

What is the range of the grades Helen received on all three exams?

Possible Answers:

9

82

12

7

84

Correct answer:

7

Explanation:

The range of a set of data is the difference between the highest and lowest values in the set.

Helen’s grades: 84 86 79

Highest = 86

Lowest = 79

Range = 86 - 79 = 7

Example Question #104 : Data Analysis

If train A heads from Albuquerque, New Mexico towards Phoenix, Arizona, at 50 miles an hour and train B heads from Phoenix to Albuquerque at 70 miles an hour leaving at the same time at 4:00PM, at what time will the trains intersect taking the same path, assuming the distance between the two cities is 450 miles.

Possible Answers:

Between 8:00 and 9:00 PM

Between 6:00 and 7:00 PM

Between 7:00 and 8:00 PM

Between 9:00 and 10:00 PM

Correct answer:

Between 7:00 and 8:00 PM

Explanation:

A quick look at the answer choices tells you that the question is not looking for the exact time of intersection, but rather between what two hours the trains will intersect. The best approach to a problem like this is to quickly make a table listing distance traveled of each train and the corresponding time. An example is illustrated below.

Table_pic

We see at 7:00 PM the trains have not yet intersected (and are actually 90 miles apart,  |  miles.

At 8:00 PM the trains have traveled a total of 480 miles together, and thus must have already intersected. Therefore, between 7:00 and 8:00 PM is the correct answer.

Questions such as these should take no longer than twenty seconds, as they only require simple arithmetic. They tend to be more intimidiating than difficult, as well as many other questions on the ACT.

Example Question #2814 : Act Math

Restaurant

Considering the entire menu shown for Lena’s Italian Kitchen, what is the range of the prices of the many food options?

Possible Answers:

$6.09

$1.50

$4.50

$7.00

$3.50

Correct answer:

$7.00

Explanation:

The range is difference between the largest value and the smallest value.

The largest value is the ravioli for $10.00

The smallest value is the house salad for $3.00

The range = $10.00 - $3.00 = $7.00

Example Question #1 : Range

Find the range of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

Range is the difference between the largest number in the set and the smallest number in the set. Our largest number in the set is  and our smallest number is .

Example Question #2 : How To Find Range

The following is a list of the amount of students in each of five 3rd grad classrooms:
23, 27, 19, 31, 33. What is the range of the number of students in each classroom?

Possible Answers:

Correct answer:

Explanation:

The range is the highest minus the lowest value in a given data set contains. Thus the low end of the range is the low number, or 19 students, and the high end of the range is the high number, or 33.

Subtracting the lowest value from the highest we get,

.

Therefore the range of the data set is .

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