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Quiz Session - Attempts With Random Questions

GACE Exam Questions

Page 8 of 27

141.

Read the passage then answer the question that follows. 

Which of the following sentences contains a distracting detail that impairs the development of the main idea of this passage?

  • Sentence 7

  • Sentence 2

  • Sentence 4

  • Sentence 9

Correct answer: Sentence 7

Sentence 7 is not congruent with the focus of the passage. While there is some mention of the local cultivators crossing vinifera with local vines, this doesn’t encourage the explanation that the local cultivators did not have advanced technology. 

Sentences 2, 4, and 9 all provide details that are related to the thesis of the passage.

142.

Written in scientific notation, the number 980,000,000,000 is:

  • 9.8 x 1011

  • 980 x 109

  • 0.98 x 1012

  • 98.0 x 1010

  • 0.98 x 10-10

Correct answer: 9.8 x 1011

1. To convert a number to scientific notation, move the decimal until it forms a real number. In this case, that number is 9.8.

2. The exponent tells us how many decimal places are in the number. Since the decimal moved 11 places to the left, the number is positive.

980,000,000,000 = 9.8 x 1011

143.

Read the passage then answer the question that follows.

Which of the following best outlines the structure of the passage?

  • A statement is made, then supported

  • A theory is stated, and then explained

  • A question is raised, then answered

  • An experiment is stated, followed by the conclusion

Correct answer: A statement is made, then supported

The passage starts with the statement that the polar bears are not dying because of exhaustion from swimming and having to navigate larger bodies of water. The statement is then supported by the explanation of why this cannot be true, as polar bears are better at swimming than walking, and they have a layer of fat that keeps them warm and provides energy while they are swimming.

144.

Tiffany is looking at a right triangle, where angle B is identified as being 42 degrees. How many degrees would angle C be, if angle A was the 90-degree angle?

  • 48

  • 228

  • 52

  • 42

Correct answer: 48

Every triangle contains 180 degrees. You will need to subtract the degrees of angles A and B to find the degrees of angle C: 

180 - 90 - 42 = 48

145.

Kent has been working on his web design for exactly 22 weeks. How many minutes has Kent worked on his web design?

  • 221,760

  • 3,696

  • 90,560

  • 161,320

Correct answer: 221,760

First, you will need to convert 22 weeks to days: 22 weeks x 7 days / 1 week = 154 days. 

Next, you will need to convert 154 days to hours: 154 days x 24 hours / 1 day = 3,696 hours.

Then, you will need to convert 3,696 hours to minutes: 3,696 hours x 60 minutes / 1 hour = 221,760 minutes.

146.

Jason scored an 80 in math, a 90 in writing, a 75 in history, and a 95 in science. What was Jason's average score for his four classes?

  • 85

  • 78

  • 83

  • 88

Correct answer: 85

To find the average, you take the sum of the class scores and divide it by the number of classes.

80 + 90 + 75 + 95 = 340

340 / 4 = 85

147.

The box plot shows the ages of Oscar-winning actors between 1975 and 2004.

What is the approximate median age of female Oscar winning actors?

  • 35

  • 42

  • 32

  • 48

  • 28

Correct answer: 35

In a box-and-whisker plot, or box plot, the median is represented by the vertical line in the box. Because A represents female actors, the median age is about 35 years old.

  • 42 is incorrect because it is the median of the upper quartile, so only 25% of female actors were over the age of 42.
  • 32 is incorrect because it is the median of the lower quartile, so only 25% of female actors were younger than 32.
  • 48 is incorrect because the box plot shows that it is the highest age of any female Oscar-winning actress between 1975 and 2004.

148.

Read the passage then answer the question that follows. 

Which of the following changes needs to be made?

  • Sentence 3: Change “are” to “is”

  • Sentence 4: Change “general” to “generally”

  • Sentence 7: Change “solvent” to “solvents”

  • Sentence 8: Change “extremely” to “extreme”

Correct answer: Sentence 3: Change “are” to “is”

The word “are” in Sentence 3 should be changed to “is.” The subject of the sentence is singular; making “is” the correct word choice. 

The other answer choices are all using the appropriate forms of words and do not need to be changed.

149.

June uses her own car to travel for work. Within the last month, June made 5 trips to Columbus, and 8 trips to Cleveland. The mileage reimbursement is $0.50 per mile. The round trip to and from Columbus is 110 miles, and the round trip to and from Cleveland is 250 miles. June uses the following expression to calculate her mileage reimbursement for the trips:

5($0.50 x 110) + 8($0.50 x 250)

Which of the following expressions could June have also used?

  • 5 x $55.00 + 8 x $125.00

  • 13($0.50 x 360)

  • 5 + 8($0.50 x 110 + 250)

  • 5($0.50 x 250) x 8

Correct answer: 5 x $55.00 + 8 x $125.00

If you solve the expression given to you, you have $275.00 + $1,000.00 = $1,275.00. Therefore, the correct answer needs to produce a value of $1,275.00. The expression 5 x $55.00 + 8 x $125.00 = $1,275.00. This yields the same value as the given expression, so it is the correct answer.

13($0.50 x 360) would yield $2,340 as an answer.

5 + 8($0.50 x 110 + 250) would yield $2,445 as an answer.

5($0.50 x 250) x 8 would yield $5,000 as an answer.

150.

Read the passage then answer the question that follows. 

Which one of the following changes is needed?

  • Sentence 4: Change “were” to “we’re”

  • Sentence 3: Change “are” to “were”

  • Sentence 5: Change “it’s” to “its”

  • Sentence 2: Change “most” to “more”

Correct answer: Sentence 4: Change “were” to “we’re”

Sentence 4 contains an inappropriate use of words. The contraction for “we are” should be used to make the sentence correct. The verb “were” is not correct in this context. 

Sentence 2 correctly uses the comparative degree. Sentence 3 correctly uses the present tense. Sentence 5 correctly uses the contraction for “it is”.

151.

Chris purchased 10 maple trees, 6 oak trees, and some pine trees from the nursery. There is a 3 to 5 ratio of maple trees to pine trees. Which of the following numbers in the problem are needed to find the total number of pine trees that Chris purchased?

  • 10, 3, and 5 only

  • 6, 3, and 5 only

  • 10, 6, 3, and 5

  • 3 and 5 only

Correct answer: 10, 3, and 5 only

In order to find the actual number of pine trees, you need the initial ratio, plus one actual number. The initial ratio of maple trees to pine trees is 3 to 5, and the actual number of maple trees is 10. 

You do not need the fact that there were oak trees purchased. This piece of information does nothing to help you solve the ratio box involving maple trees and pine trees.

152.

When 45.67 is multiplied by 100, which digit of the answer is in the hundreds place?

  • 5

  • 4

  • 6

  • 7

  • 3

Correct answer: 5

1. When multiplying a number expressed as a decimal by 100, move the decimal two places to the right.

45.67 × 100 = 4,567

2. The hundreds place is the third place to the left of the decimal point. 4,567 can be rewritten as 4567.0, so the digit in the third place to the left of the decimal point is 5.

153.

Multiplying a number by 1/5 is the same as dividing that number by:

  • 5

  • 10

  • 1/2

  • 0.2

Correct answer: 5

If you select the number 20, and multiply it by 1/5, the result is 4. If you divide the number 20 by 5, the result is 4. 1/5 means 1 divided by 5.

154.

If side a is equal to 30, what is the length of side x?

  • 20

  • 30

  • 15

  • 45

  • 35

Correct answer: 20

Similar triangles are two triangles with angles of the same measurements. The length of their sides are proportionate.

1. Find the relationship between the sides of triangle ABC and triangle XYZ.

Flip triangle XYZ so the angle measuring 75º is in the same place as in triangle ABC. We see that side AB is proportionate to side XY, and side AC is proportionate to side XZ.

15/10 = 3/2

21/14 = 3/2

2. Find the length of side x.

Since we know the relationship between triangles ABC and XYZ is 3/2, set up an equation to solve for x.

3/2 = 30/x

3x = 60

x = 20

155.

April scored an average of 93 on the six tests that she took in English. What was the sum total of all six tests?

  • 558

  • 532

  • 569

  • 596

Correct answer: 558

To find the sum total of the six tests, you will need to multiply the average score by the number of tests.

93 x 6 = 558

156.

Read the passage then answer the question that follows. 

The passage implies that the healthiest part of the grape is:

  • The skin

  • The sugar content

  • The seeds

  • The stem

Correct answer: The skin

This statement is found in sentence 6.

157.

View the supporting details to answer the following question.

Which month saw the largest percent increase in popcorn sales from 2009 to 2010?

  • January

  • May

  • June

  • February

Correct answer: January

First, eliminate any answer choice that does not increase. May and June did not see an increase. 

Next, calculate the percent increase using the percent change formula (difference / original). The total in January 2009 was $900.00 and the total in January 2010 was $950.00. The percent change fraction is $50/$900.00, which equals the largest percent increase at 5.6%.

158.

The hypotenuse of a 30-60-90 triangle is 24 meters. What is the measure of the longer leg?

  • 12√3 m

  • 24√3 m

  • 12 m

  • 2√3 m

  • 2 m

Correct answer: 12√3 m

1. In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.

2 × length of shorter leg = 24 meters

length of shorter leg = 12 m

2. In a 30-60-90 triangle, the longer leg is √3 times the measure of the shorter leg.

length of longer leg = 12√3 m

159.

Read the passage then answer the question that follows. 

Which of the following sentences contains nonstandard comma use?

  • Sentence 4

  • Sentence 6

  • Sentence 10

  • Sentence 11

Correct answer: Sentence 4

The words “child, desertion” are not items in a series and should not be separated with a comma. 

Sentences 6, 10, and 11 contain standard comma use.

160.

Read the passage then answer the question that follows.

According to the passage, by exercising your brain you will:

  • Increase your ability to focus

  • Lose weight faster

  • Learn faster than others

  • Increase the muscle tissue

Correct answer: Increase your ability to focus

The statement is found in the second sentence of the passage.

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