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Quiz Session - Attempts With Random Questions

ACT Exam Questions

Page 3 of 26

41.

Identify the next number in the sequence:

1, 2/3, 4/9, 8/27, …

  • 16/81

  • 2/7

  • 32/243

  • 8/81

Correct answer: 16/81

This is a geometric series with a common ratio r:

r = 2/3 ÷ 1 = 4/9 ÷ 2/3 = 8/27 ÷ 4/9 = 2/3.

The next number in the series is 8/27 × 2/3 = 16/81

42.

Find the y intercept of the line 2y = -2.

  • -1

  • 1

  • 0

  • 2

Correct answer: -1

2y = -2 implies y = -1. This line intersects the y axis at -1, since it is parallel to the x axis.

Hence, the y-intercept is -1.

43.

Find the slope of the line 3y − 4x − 1 = 0.

  • 4/3

  • -3/4

  • 3/4

  • -4

Correct answer: 4/3

3y − 4x − 1 = 0 is converted to y = mx + b form:

3y − 4x − 1 = 0 ; 3y = 4x + 1 ; y = (4/3)x + 1/3.

Hence, the slope is equivalent to m = 4/3.

44.

Angles a and b are the only two angles at a point. If a = 34°, find the size of angle b.

  • 326°

  • 56°

  • 236°

  • 146°

Correct answer: 326°

Angles at a point add up to 360°. 

Since a = 34°, b = 360 − 34 = 326°

45.

Simplify 3² + 3³

  • 36

  • 15

  • 243

  • 124

Correct answer: 36

3² + 3³ = (3 × 3) + (3 × 3 × 3) = 9 + 27 = 36

46.

Read the passage, and then answer the following question.

According to the author, fermentation is:

  • The process of turning sugar into alcohol

  • The process of allowing grapes to ripen

  • The process of allowing a wine to age to enhance its flavor

  • The process of growing only flavorful grapes

Alcohol is produced through fermentation, a process which turns sugar into alcohol.

The first paragraph states that fermentation is the process of turning sugar into alcohol. When drunk in moderation, alcohol can have many health benefits due to the fermentation process.

47.

Read the passage, and then answer the following question.

The columns are likely the result of:

  • Ancient volcanic eruptions

  • Ancient earthquakes

  • Droughts

  • Massive storms along the coast

Lying at the base of basalt cliffs along the sea coast, the columns are the result of ancient volcanic eruptions.

In the second sentence of the second paragraph, the author of this passage states that the columns were formed due to ancient volcanic eruptions. When the lava cooled over large basalt plateaus, it cracked and formed the basalt columns seen today.

48.

Choose the option that represents the best way to write the underlined portion of the sentence below.

Although she majored in English, Chloes dream was to be a veterinarian.

  • Chloe's dream

  • No change

  • Chloes' dream

  • Chloes's dream

Although she majored in English, Chloe's dream was to be a veterinarian.

An apostrophe is used to show possession. Therefore, "Chloe's dream" is the correct usage.

49.

Choose the option that represents the best way to write the underlined portion of the sentence below.

Not wanting to offend anyone, Leslie always chooses her words carefully.

  • No change

  • careful

  • more careful

  • most careful

Not wanting to offend anyone, Leslie always chooses her words carefully.

Because "careful" describes the action of "choosing," it functions as an adverb, and -ly is added.

50.

Angles p, q and r are interior angles of a triangle. If r = 23° and p = 41°, find the size of angle q.

  • 116°

  • 36°

  • 106°

  • 126°

Correct answer: 116°

Since p, q and r are interior angles of a triangle, p + q + r = 180°.

Substituting for p and r, we have 41 + 23 + q = 180°.

q = 180 − 41 − 23 = 116°.

51.

Simplify the following expression:

-5 |-7 − 6| + |-6|

  • -59

  • 1

  • -24

  • 59

Correct answer: -59

-5 |-7 − 6| + |-6| = -5 |-13| + 6 = -5(13) + 6 = -59

52.

The cost of an office table is $500. If a trader sold it making an 18% profit, calculate her selling price.

  • $590

  • $424

  • $520

  • $580

Correct answer: $590

The cost price = $500 (equivalent to 100%).

Selling price = cost price + profit = 100 + 18 = 118%.

Selling price = 118/100 × 500 = $590.

53.

The percentage of ladies in the estate development committee is 60%. If there are 6 men, how many people is the committee composed of?

  • 15

  • 9

  • 10

  • 12

Correct answer: 15

The percentage of ladies is 60%.

Thus, the percentage of men is 100% − 60% = 40%.

40% is equivalent to 6.

The total number of people in the committee = 100/40 × 6 = 15.

54.

Choose the option that represents the best way to write the underlined portion of the sentence below.

I couldn't hardly believe my eyes when I saw how expensive that restaurant was.

  • I could hardly

  • No change

  • I could not hardly

  • I can't hardly

I could hardly believe my eyes when I saw how expensive that restaurant was.

Both "couldn't" and "hardly" are negative constructions. Using both of them makes this phrase a double negative. The correct usage should be "I could hardly."

55.

Read the passage, and then answer the following question.

According to the passage, the columns of the Giant's Causeway are made of:

  • Basalt

  • Limestone

  • Marble

  • Shale

The eruptions created broad plateaus of molten basalt. As the lava began to cool, it contracted. Much like drying mud, the cooling and contracting lava began to crack. When the cracks spread downward, basalt columns were formed.

In the second half of the second paragraph, the author states that the columns of the Giant's Causeway are made of basalt. Ancient volcanic eruptions created plateaus of molten basalt, and as the lava cooled it cracked and formed the amazing columns seen today.

56.

Given that g(x) = -2x − 5, find the value of g(x) if x = -5

  • 5

  • -15

  • -5

  • 15

Correct answer: 5

g(x) = -2x − 5, when x = -5.

g(-5) = -2(-5) − 5 = 10 − 5 = 5.

57.

Choose the option that represents the best way to write the underlined portion of the sentence below.

Bridget can't answer the phone right now because she's waiting on a customer.

  • No change

  • waiting to a customer

  • waiting of a customer

  • waiting about a customer

Bridget can't answer the phone right now because she's waiting on a customer.

Although Bridget is obviously not actually on a customer, the preposition "on" is idiomatically correct usage.

58.

Write an expression showing the square of the sum of two consecutive integers.

  • 4a² + 4a + 1

  • a² − 1

  • 4a² − 1

  • 2a² + 2a + 1

Correct answer: 4a² + 4a + 1

Let the first number be a. The second number is a + 1.

The sum of the numbers is a + (a + 1) = 2a + 1.

The square of those numbers is (2a + 1)² = 4a² + 4a + 1.

59.

A tank has a capacity of x cubic feet. Each day, it supplies b cubic feet of water to each house. If the tank supplies water to r houses, write an expression showing the volume of water in the tank after two days, given that the tank starts out full.

  • x − 2br

  • rx − 2b

  • x + 2br

  • x − 2b − r

Correct answer: x − 2br

The volume of water available is x.

Capacity of water supplied each day is br.

The total capacity of water supplied in two days = 2br.

Volume of water remaining after two days = x − 2br.

60.

Read the passage then answer the following question.

According to the author, most how-to books are written to:

  • Make money for the author

  • Teach people how to do new things

  • Provide knowledge for people who don't want to take classes

  • Show off the author's expertise

The author of the passage makes multiple statements that suggest that how-to books are nothing more than a money-making scheme.

From the passage: What I think most people do not understand is that these books are written as a scheme to make money...purchasing a book written by someone trying to make a quick buck.

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