American College Testing (ACT)
The ACT is a standardized test used for undergraduate college admissions in the United States. It is created and administered by American College Testing (ACT), a nonprofit organization of the same name.
Question 1
Oakley is watching the weather to plan their week. The forecast says that Monday has a 65% chance of rain, Tuesday has a 30% chance of rain, Wednesday has a 90% chance of rain, and Thursday has a 60% of rain. Oakley wants to paint their house and wants to avoid rain for all four days. What is the probability (as a percentage rounded to the nearest hundredth) that it will NOT rain on any of the four days?
A.
0.25%
B.
0.49%
C.
0.98%
D.
1.47%
E.
1.96%
Question 2
Simplify the following expression:
3𝑥
3𝑦
A.
(𝑥 - 𝑦)3
B.
1
C.
3𝑥 - 𝑦
D.
3𝑥 + 𝑦
E.
(𝑥 + 𝑦)3
Question 3
Simplify the following fraction:
10𝑥 + 2𝑦
6𝑥 - 8𝑦
A.
10𝑥 - 8𝑦
B.
5/3𝑥 - 1/4𝑦
C.
(5𝑥 + 𝑦) ÷ (3𝑥-4𝑦)
D.
16𝑥/10𝑦
E.
17/12
Question 4
What is the range of the following set of numbers?
57, 96, -38, -94, 86, 37, -62, -7, -87, 94
A.
-190
B.
2
C.
8.2
D.
190
Question 5
A circle is drawn in the standard (𝑥, 𝑦) coordinate plane. Points A and B lie on the circle, and when they are connected, they form a diameter. If point A is at (9, 9) and point B is at (-5, -3), what are the coordinates of the center of the circle?
A.
(-14, -12)
B.
(-12, -14)
C.
(-7, -6)
D.
(-6, -7)
E.
(2, 3)
Question 6
Azariah goes for a bike ride through their town. They start out by heading 10 miles west. Then they make a sharp turn north and continue another 22 miles. After taking a rest, Azariah decides to head home in a perfectly straight line. How many miles shorter was their return trip than the initial trip out?
A.
0.73
B.
1.93
C.
7.83
D.
13.03
E.
24.17
Question 7
For 𝑦 = ((4𝑥 + 8)/2)2 - 9(𝑥/2), what does 𝑦 equal when 𝑥 = 6?
A.
-1
B.
13
C.
229
D.
741
E.
757
Question 8
Jordan has a bag containing 11 blue, 9 red, 13 green, and 14 yellow marbles. What is the probability that they pull out a yellow marble at random?
A.
1/2
B.
9/47
C.
13/47
D.
14/47
E.
47/14
Question 9
Spencer is looking to rent a car. They find one company that charges a $67 flat fee and also a $0.86 fee per mile. Because Spencer is a nice person, the company decides to cut them a deal and give them 164 free miles. Which of the following expressions correctly models the amount, A, in dollars, that Spencer will have to pay if they travel m miles, assuming that they travel over 164 miles?
A.
A = 67 - (164 + 0.86m)
B.
A = 67 + 0.86 × (164 - m)
C.
A = 67 + 164 - 0.86m
D.
A = 67 + (164 - m) ÷ 0.86
E.
A = (67 + 164) + 0.86m
Question 10
If f(𝑥) = 6𝑥 + 9 and g(𝑥) = 7𝑥 - 3 what is f(9) - g(9)?
A.
-3
B.
-1
C.
0
D.
1
E.
3
American College Testing's ACT exam summary
ACT english test
45 minutes
75 questions
The ACT english test asks you to edit English language texts. You will need to be able to assess passages on a wide variety of topics and rhetorical situations.
ACT mathematics test
60 minutes
60 questions
The ACT mathematics test gauges your ability to do math typically taken by American students through grade 11. This includes geometry, statistics & probability, modeling, algebra, functions, number & quantity, integration of essential skills, and a small number of trigonometry questions. It assumes you have knowledge of basic formulas and basic computational skills.
ACT reading test
35 minutes
40 questions
The ACT reading test evaluates your ability to make logical decisions about long texts using the information they contain. You must be able to determine main ideas, identify significant details, make comparisons, find and interpret significant details, determine the meaning of context-dependent words, evaluate claims and evidence in arguments, and bring together information from up to four passages.
ACT science test
35 minutes
40 questions
The ACT science test measures the core skills required by the natural sciences: interpretation, analysis, evaluation, reasoning, and problem solving. The science test includes content related to biology, chemistry, physics, geology, astronomy, and meteorology. You are asked to digest the information provided, critically evaluate that information relative to the hypotheses provided, and draw conclusions or make predictions.
ACT writing test (optional)
40 minutes
Prompted essay
The ACT writing test is an optional essay test that measures the writing skills typically taught to American students through grade 11. You are given one writing prompt that describes a complex issue, and then given three different perspectives on that issue. You must read the prompt and perspectives before developing your own perspective. You must relate your perspective to one or more of the provided perspectives. Your perspective may support one of the perspectives provided, or it can introduce a new perspective that is completely different.
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