Free PERT Practice Test 2024

Answer & Explanation
The correct answer is (A).

The line equation is

where: 

m = slope
n = the intersection point of the line and the y axis.

The slope can be found by the difference of the two points:

Use the set of given points:

 and find the slope:

Hence:

Find the intersect point of the line with the y axis. Use the line equation formula:

and one of the points given in the problem.
For example, use

Therefore:

Accordingly, the correct answer is (A).

If you chose answer (B), review your calculations, paying attention to the signs. If you chose answer (C), review your calculations, especially the line equation definitions. If you chose answer (D), review your calculations, especially of n.

Answer & Explanation

The correct answer is (D).

To solve this question, you need to perform the two main steps involved in calculating the missing sides using the Pythagorean theorem.

According to the theorem, a right-angled triangle (illustrated in the picture above) contains a hypotenuse square equal to the other two sides' sum. It can also be represented in the formula: (a^2+b^2=c^2)

Look at the right-angled triangle in the question. Two sides of it are given so you can find the hypotenuse using the Pythagorean theorem. Notice that the triangle's hypotenuse is also the rectangle's missing side, which will be valuable in the next step to find its diagonal. To find the hypotenuse, place the given values in the formula (mark the missing hypotenuse with h):

Note: since all rectangle angles are right angles, and the parallel sides are equal, the diagonal of the rectangle (\(m\)) creates two equal right-angled triangles.

With the Pythagorean theorem, you can use the given side length and the length of the missing side that you found, and calculate the triangle's hypotenuse, which is the rectangle's diagonal (m)

Therefore, the correct answer is (D).

The correct answer is (D).

• First, you need to find the amount of wood required to build eight chairs. You should start by finding the amount required for one chair. It is pointed out that Sarah uses 16.5 pounds for three chairs, so in order to find the amount required for 1 chair, you need to divide it by three:

16.5÷3=15÷3+1.5÷3=5+0.5=5.5 Pounds.

• Next, multiply the result by 8 to find the amount required to build all chairs:

5.5×8=(5×8)+(0.5×8)=40+4=44 (Pounds).

• Finally, to find the cost of all the wood required, you need to multiply the amount found by the cost of one pound of wood, which is three and a half dollars:

44×3.5=(44×3)+(44×0.5)=(40×3)+(4×3)+(44÷2)=120+12+22=154 (Dollars).

Therefore, the correct answer is (D).

The correct answer is (B).

• The mean is the average of a data set (exam scores in this case). To find it, you add up all the data set items and divide the sum by the number of items.
  
  
• In this question, you are given most of the data set and its mean, so you can find the missing value by creating an equation and marking David's score with a variable (x):

• To solve this equation, multiply both sides by 6:

• Using the formed equation, you could discover the missing item of the data set, David's score on the exam (70), and therefore (B) is the correct answer.
  
  
• Another way of solving is by using the mean's property- the sum of the distances from the mean must be zero. If you then add the differences of all scores, including David's, from 75, it should be equal to zero.
  
  
• You can create an equation of the distances of all scores from 75 and mark David's score difference from 75 as x:
  
  88 is 13 points higher than 75 (+13), 62 is 13 points lower than 75 (-13), 100 is 25 points higher than 75 (+25), 49 is 26 points lower than 75 (-26), and 81 is 6 points higher than 75 (+6).
  Now you can create the equation to find David's difference and discover his score   
• David's score should be 5 points lower than 75 (-5): 75 - 5 = 70 → David's score in the exam is 70 and (B) is the correct answer.

The correct answer is D.
The passage discusses Vivaldi’s work, influence, and for what he is known. However, the passage also states that “Vivaldi died in poverty,” implying that he did not reap monetary benefits for his art.

The correct answer is A.

This statement contains an opinion because it uses the phrase "seems to be better off," which is a subjective judgment about the species' situation rather than an objective fact.
• Answer B: This statement is a factual observation about the Brown Argus butterfly's diet and does not contain any subjective judgment or opinion.
• Answer C: This is a factual statement describing the geographical expansion of the butterfly's range over a specific time period. It is not an opinion.
• Answer D: This is another factual statement. It describes the butterfly's status in the 1980s and its subsequent spread northward, without expressing any opinion.

The correct answer is C.

This statement best captures the main idea of the passage. It acknowledges the specific example of the Brown Argus butterfly benefiting from climate change, while also noting the generally harmful effects of climate change on other species.
• Answer A: While this is true, it does not fully capture the main idea of the passage, which also includes the impact of climate change on the butterfly and the broader context of climate change's effects on species.
• Answer B: This statement is accurate regarding the broader implications of climate change, but it does not focus on the specific example of the Brown Argus butterfly, which is central to the passage.
• Answer D: This is incorrect because the passage emphasizes that the Brown Argus butterfly is an exception and that overall, climate change is expected to be detrimental to most species.

The correct answer is D.

This structure explains the cause of an event and its effects. The first paragraph describes the cause (climate change) and its effect (the northward spread of the Brown Argus butterfly), making it a cause-effect structure.
• Answer A: Sequence refers to events or steps occurring in a specific order. The first paragraph does not present a sequence of events.
• Answer B: This structure presents a problem and then a solution. The first paragraph does not fit this structure as it does not present a problem followed by a solution.
• Answer C: This structure defines a concept and provides an example. The first paragraph does not fit this structure as it neither defines a term nor provides an example.

The correct answer is B.

The subject and the verb in a sentence must always agree. If the subject is singular, the verb should be singular as well. Singular verbs usually end in -s or
-es.
If the subject is plural, the verb should be plural too. Plural verbs usually do not end in -s or -es.
The only sentence in which the subject and the verb agree is in answer (B). Both the subject (two boys) and the verb (go) are plural. Therefore, the correct answer is (B).

The correct answer is A.

A pronoun is a word that refers to a specific noun in a given context, and its antecedent is the word that is being referred to. Vague pronoun use is when it is unclear what the antecedent is, as some multiple fitting subjects or objects could be what the pronoun in the sentence is referring to.

In the sentence in option A, the word “which” is a relative pronoun referring to something that “was the reason [Callie] was late for work.” It is unclear, however, which antecedent it is referring to—the fact that she “styled her hair in a French braid,” or “the heavy rain outside.” That is why it is considered vague pronoun use.

The correct answer is A.

The major words in the titles of works of art (but not short prepositions or the articles "the," "a," or "an," if they are not the first word of the title) should always be capitalized. Therefore, the correct answer is (A).

The correct answer is A.

Answer (B) is incorrect as it contains a mistake: temparature should be temperature.
Answer (C) is incorrect as it contains a mistake: cataloge should be either catalogue or catalog.
Answer (D) is incorrect as it contains a mistake: phisician should be physician.