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Quiz Session - Attempts With Random Questions

GACE Exam Questions

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21.

The stem-and-leaf plot shows new car mileage in the city and on the highway.

Which number is not represented in the plot?

  • 40

  • 31

  • 23

  • 41

  • 34

Correct answer: 40

In a stem-and-leaf plot, the tens place is represented by the stem and the ones place is represented by the leaf. In this particular plot, the tens place is still represented by the stem, even though the city mileage runs from right to left.

40 is not shown on the plot, as there is no 0 following the stem of 4.

  • 31 is represented twice under city mileage
  • 23 is represented twice under city mileage
  • 41 appears once under highway mileage
  • 34 appears once under city mileage

22.

Don orders cable television with HBO, Starz, and Encore. Basic cable packages cost $30.00, and additional channels are $10.00 each. Don pays with a hundred-dollar bill. Don uses the following expression to calculate the amount of money he should receive back from the order:

$100.00 - ($30.00 + $10.00 + $10.00 + $10.00)

Which of the following expressions could Don have also used?

  • $70.00 - 3 x $10.00

  • 3 x ($100.00 - $30.00 - $10.00)

  • $30.00 + (3 x $10.00) - $100.00

  • $10.00 - $100.00 + $30.00

Correct answer: $70.00 - 3 x $10.00

If you solve the expression given to you, you have $100.00 - $60.00 = $40.00. Therefore, the correct answer needs to produce a value of $40.00. 

The expression $70.00 - 3 x $10.00 = $40.00. This yields the same value as the given expression, so it is the correct answer.

23.

Solve the following:

3/5 + 0.4

  • 1

  • 9/5

  • 0.7

  • 4 3/5

  • 2

Correct answer: 1

1. Convert 0.4 to a fraction.

0.4 = 4/10

2. Convert 3/5 to a common denominator.

3/5 × 2/2 = 6/10

3. Solve.

6/10 + 4/10 = 10/10 = 1

24.

What is the mode in the given set of data?

12 14 7 2 21 2 17 6

  • 2

  • 10

  • 19

  • 9

  • 17

Correct answer: 2

The mode is the number that appears the most often. All the numbers appear only once except for 2, so it is the correct answer.

25.

There are 18 red candies, 23 blue candies, 20 green candies, and 25 yellow candies in a bag. What is the probability of not drawing a red candy?

  • 34/43

  • 9/43

  • 81/86

  • 1/3

  • 1/2

Correct answer: 34/43

1. Find the total number of candies in the bag.

18 + 23 + 20 + 25 = 86 candies

2. Subtract the number of red candies from the total number.

86 - 18 = 68

3. Set up a proportion.

68/86

4. Simplify.

68/86 = 34/43

26.

Read the passage then answer the question that follows. 

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

  • A statement is made, followed by a general discussion

  • A theory is stated, then explained

  • A question is asked, then answered

  • An argument is stated, then defended

Correct answer: A statement is made, followed by a general discussion

The passage starts by stating that more people are using smartphones as technology advances. Then the statement is followed by a general discussion about how people use their smartphones.

27.

Read the passage then answer the question that follows. 

Which of the following sentences displays a nonstandard placement of a modifying phrase?

  • Sentence 3

  • Sentence 1

  • Sentence 7

  • Sentence 9

Correct answer: Sentence 3

Sentence 3 displays a nonstandard placement of a modifying phrase. The modifying phrase “by the way” should be used to state that Kaizen Events are also known as Rapid Improvement Events. The sentence should be rewritten as: There are several different designations and generic forms of Kaizen Events, which, by the way, are also known as Rapid Improvement Events. 

The other sentences have their modifying phrases directly related to the idea they qualify.

28.

Read the passage then answer the question that follows.

Which of the following provides the best outline for the passage?

  • A theory is tested, then refuted, and another theory is created

  • A general story is told, followed by general explanations

  • A specific story is told, followed by specific explanations

  • A statement is made, then supported by examples

Correct answer: A theory is tested, then refuted, and another theory is created

The passage begins with the theory that obesity is linked to fast food. It is then refuted by the fact that home-cooked meals probably contain just as many calories. Then another theory is created with the idea that increased use of technology could be the cause of obesity.

29.

Sara wants to fence in her backyard, which is 36 feet long and 22 feet wide. How much fencing will Sara need in yards, considering that she does not have to provide fencing for one of the 22 foot wide sides of the yard that backs up against her house?

  • 31 1/3 yards

  • 94 yards

  • 38 2/3 yards

  • 116 yards

  • 74 yards

Correct answer: 31 1/3 yards

1. Find how many feet of fencing Sara will need.

36 + 36 + 22 = 94 feet

2. The question asks for the answer in yards, so convert feet to yards by dividing by 3.

94 ÷ 3 = 31 1/3 yards

30.

Pick 'n Save sells 550 boxes of cereal every day. How many boxes of cereal does Pick 'n Save sell in 30 days?

  • 16,500 boxes of cereal

  • 1,650 boxes of cereal

  • 33,000 boxes of cereal

  • 8,250 boxes of cereal

Correct answer: 16,500 boxes of cereal

In order to find out how many boxes of cereal were sold over the 30-day period, you need to multiply:

550 × 30

1. Set up the long multiplication.

2. Calculate 0 x 3, which is 0.

3. Calculate 5 x 3, which is 15.

Since 15 is two-digit, we carry the first digit 1 to the next column.

4. Calculate 5 x 3, which is 15. Now add the carry digit of 1, which is 16. Since 16 is two-digit, we carry the first digit 1 to the next column.

5. Bring down the carry digit of 1.

6. Therefore, 550 x 30 = 16,500.

31.

If Hunter scored an average of 76 on his first four tests, what is the minimum he must score on his fifth test in order to have an overall average of 80?

  • 96

  • 80

  • 86

  • 94

Correct answer: 96

First, you will need to find the total of the tests that have already been taken. Multiplying 4 by 76 gives you a total of 304.

Next, you will need to find the total of what you want. There are 5 tests, and you want an average of 80. Multiplying 5 by 80 gives you a total of 400.

Then, you will need to find the difference between the total of the first 4 tests and all 5 tests. Subtracting 304 from 400 gives you a total of 96.

32.

What is the area of the triangle in the graph?

  • 7.5

  • 12

  • 15

  • 9

  • 8.5

Correct answer: 7.5

1. Find the measurements of the triangle.

To find the area of a triangle, we only need to know the base and height. Based on the measurements in the graph, a is 5 and b is 3.

2. Find the area of the triangle.

Area = (1/2)(base)(height)

A = (1/2)(3)(5)

A = (1/2)(15) = 7 1/2, or 7.5

33.

Use the table of contents below to answer the question that follows.

A Textbook on Biology
1 - The Life of the Cell
2 - The Chemical Basis of Life
3 - The Molecules of Cells
4 - A Tour of the Cell
5 - The Working Cell
6 - How Cells Harvest Chemical Energy
7 - Photosynthesis
About the Authors
Glossary
Bibliography
Index

The reader wants to see if the textbook contains information about stem cell research. Where can the reader look to determine this the quickest?

  • Index

  • Bibliography

  • Glossary

  • Chapter 1

Correct answer: Index

The index in a textbook is where one can find an alphabetized list of names, places, and subjects that are within the book; thus, the index would be the quickest method to determine if the textbook contained information regarding stem cell research.

34.

If two of the angles in a triangle were 40 degrees each, what would the third angle equate to?

  • 100 degrees

  • 40 degrees

  • 90 degrees

  • 110 degrees

Correct answer: 100 degrees

Every triangle contains 180 degrees. In order to get the degrees of the third angle, you will need to subtract: 

180 - 40 - 40 = 100 degrees.

35.

Read the passage then answer the question that follows. 

Which of the following changes is needed?

  • Sentence 7: Change “resulted” to “results”

  • Sentence 11: Change “diamonds” to “diamond’s”

  • Sentence 1: Change “known” to “knew”

  • Sentence 3: Change “greatest” to “greater”

Correct answer: Sentence 7: Change “resulted” to “results”

Sentence 7 requires the word “resulted” to be changed to “results.” This change will keep the sentence in the present form to correspond with the passage. 

The other sentences are correct and do not require changes.

36.

A bucket contains 10 pink marbles, 6 purple marbles, 5 blue marbles, and 3 white marbles. If two marbles are picked out of the bucket, what is the probability that one will be purple and one will be white?

  • 1/32

  • 1/6

  • 1/12

  • 1/24

  • 1/16

Correct answer: 1/32

1. Find the total number of marbles.

10 + 6 + 5 + 3 = 24

2. Find the probability of choosing a purple marble.

6/24, or 1/4

3. Find the probability of choosing a white marble.

3/24, or 1/8

4. Multiply the two together.

1/4 × 1/8 = 1/32

37.

What does y equal if (6 - y) + (1 + 4y) = 43?

  • 12

  • 21

  • 11

  • 3

Correct answer: 12

First, combine like terms: (6 + 1) + (-y + 4y) = 43 to give you: 7 + 3y = 43. 

Then, subtract 7 from each side of the equation: 3y = 36.

Now, divide each side of the equation by 3: y = 12.

38.

Read the passage then answer the question that follows. 

Which of the following sentences contains nonstandard capitalization?

  • Sentence 3

  • Sentence 1

  • Sentence 5

  • Sentence 6

Correct answer: Sentence 3

Sentence 3 contains nonstandard capitalization. The word “westwards” should not be capitalized, as it is used to show direction and is not used as a section of a country. 

The capitalization used in the other sentences is standard.

39.

Consider the following statement: All the pizza deliveries will not be made if Dan does not deliver the pizza. 

Which of the following answer choices must be true?

  • If all of the pizza deliveries were not made, Dan did not deliver the pizza.

  • Dan is the only one who can deliver the pizza.

  • If Dan does not deliver the pizza, no one will receive their pizza delivery.

  • All the pizza deliveries were made, but Dan did not deliver the pizza.

Correct answer: If all of the pizza deliveries were not made, Dan did not deliver the pizza.

It is neither necessary for Dan to deliver the pizza in order for other individuals to receive their pizza, nor is he the only driver who is delivering pizza.

40.

If 10 + 8n = 42, what is the value of 9n?

  • 36

  • 4

  • 9

  • 32

Correct answer: 36

First, subtract 10 from each side of the equation: 8n = 32

Now, divide each side of the equation by 8: n = 4

The question asks you to find the value of 9n: 9 x 4 = 36

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