2022 ACT EXAM PREP.
When are the next 3 ACT test dates for US and international students? Correct Answer: April 9, June 11,
September 10
What is the order of the ACT sections? Correct Answer: English, Math, Reading, Science, Writing
How many minutes and questions is the English section? Correct Answer: 75 questions, 45 minutes
How many minutes and questions is the Math section? Correct Answer: 60 questions, 60 minutes
How many minutes and questions is the Reading section? Correct Answer: 40 questions, 35 minutes
How many minutes and questions is the Science section? Correct Answer: 40 questions, 35 minutes
How long is the Writing section? Correct Answer: 40 minutes
How does the ACT determine the composite score from the 4 sections? Correct Answer: It AVERAGES
them, not adds them!
What are the two MOST TESTED contents on the Math section? Correct Answer: Pre-Algebra (20-25%)
and Plane Geometry (20-25%)
What are the three SECOND MOST tested contents on the Math section? Correct Answer: • Elementary
Algebra (15-20%)
• Intermediate Algebra (15-20%)
• Coordinate Geometry (15-20%)
What is the least tested content on the Math section? Correct Answer: Trigonometry (5-10%)
How many total science passages are there and what kind of passages are they? Correct Answer: • 3
Data Representation Passages
o 5 or 6 questions per passage
• 3 Research Summaries Passages
o 5 or 6 questions per passage
• 1 Conflicting Viewpoints Passage
o 7 questions per passage
What are the two most tested areas in the Usage and Grammar part of the English section? Correct
Answer: Correct sentence formation (20%)
Use of commas, dashes, and colons: (17%)
What are the two most tested areas in the Rhetorical Strategy part of the English section? Correct
Answer: #1. Logical Transitions: 18.4%
,• Includes transitions within sentences, between sentences, and between paragraphs
• Transition words make logical sense for context
#2. Adding Information: 16.7%
• Determining if new information is relevant to paragraph
• Understanding why new information is relevant
How many passages are there on the English section? How many questions per passage? Correct
Answer: 5 passages, 15 questions per passage
How many passages are there on the Reading section? How many questions per passage? Correct
Answer: 4 passages (3 single, 1 paired), 10 questions per passage
The five passages on the Reading section always come from which four areas? Correct Answer:
humanities, social studies, natural sciences, and literary fiction
What are the two most tested types of questions on the Reading section? Correct Answer: Little detail
(45%) and Function/Development (22%)
What 3 jobs do you have in the enhanced ACT writing? Correct Answer: 1) You have to take a position
on the topic (and defend it), but you also have to
2) evaluate not just the opposing perspective but all of the 3 perspectives in the boxes
3) Finally, and this is the most novel part, you have to discuss the relationship between the perspectives.
Find a slope with two points Correct Answer: (y2−y1)/
(x2−x1)
What do the variables stand for in y=mx + b? How do you find the x and y intercept? Correct Answer: M
is the slope, b is the y-intercept (when x is 0)
To find the x-intercept, set y=0 and solve
What is an integer? Correct Answer: A WHOLE number (not a fraction or decimal!) that can be positive
or negative
Midpoint formula Correct Answer:
Distance formula between two points Correct Answer:
How many questions on the math section will typically involve logarithms? Correct Answer: 1-2
Rewrite log (b) x = y Correct Answer:
log (b) xy = Correct Answer:
Average speed Correct Answer:
Probability of an outcome Correct Answer:
,Probability of two, mutually exclusive, outcomes both happening is Correct Answer:
Combinations Correct Answer: The possible amount of different combinations of a number of different
elements (order doesn't matter)
number of element A * number of element B * number of element C....
Volume of a rectangular solid Correct Answer: l x w x h
Area of a parallelogram
How do you find the height if not given? Correct Answer: A = b x h
Pythagorean theorem
Isosceles triangle (sides and angles) Correct Answer:
30, 60, 90 degree triangle Correct Answer:
Area of a trapezoid Correct Answer: Often, you are given enough information to drop down two 90
angles to make a rectangle and two right triangles. You'll need this for the height anyway, so you can
simply find the areas of each triangle and add it to the area of the rectangle, if you would rather not
memorize the trapezoid formula
Area of a circle Correct Answer:
Area of an arc Correct Answer:
Circumference of a circle (2 formulas) Correct Answer:
Circumference of an arc Correct Answer:
Equation of a circle Correct Answer: Given a radius and a center point of a circle (h, k)
Volume of a cylinder Correct Answer:
SOH CAH TOA triangle Correct Answer:
Cosecant Correct Answer:
Secant Correct Answer:
Cotangent Correct Answer:
nth term of an arithmatic sequence Correct Answer:
nth term of a geometric sequence Correct Answer:
x^(a+b) Correct Answer:
, x^(a-b) Correct Answer:
x^(a x b) Correct Answer:
(xy)^a Correct Answer:
radical(xy) Correct Answer:
n (in terms of logb) Correct Answer:
i^0
i^1
i^2
i^4
(the pattern repeats after that) Correct Answer: = 1
=i
= -1
= -i
Parallel lines have ____ slopes
Perpendicular lines have ____ slopes Correct Answer: equal
neg. reciprocal
intersecting lines Correct Answer: opposite angles are equal
Angles on the inside of any triangle add up to Correct Answer: 180
The length of one side of any triangle is always _______ the sum and ________ the
difference of the lengths of the other two sides. Correct Answer: LESS THAN the sum
GREATER THAN the difference
Similar triangles Correct Answer: Two or more triangles are similar if they have the same shape. The
corresponding angles are equal, and the corresponding sides
are in proportion
To convert from degrees to radians, just multiply by Correct Answer:
Distance = Correct Answer: rate x time
Reflection of a graph Correct Answer: The graph is "mirrored" along a "mirror line"
Reflections: When the mirror line is the x-axis
we change each (x,y) into Correct Answer: (x,−y)
Reflections: When the mirror line is the y-axis
we change each (x,y) into Correct Answer: (−x,y)
Transformations of y = a(x - h)^2 + k
When are the next 3 ACT test dates for US and international students? Correct Answer: April 9, June 11,
September 10
What is the order of the ACT sections? Correct Answer: English, Math, Reading, Science, Writing
How many minutes and questions is the English section? Correct Answer: 75 questions, 45 minutes
How many minutes and questions is the Math section? Correct Answer: 60 questions, 60 minutes
How many minutes and questions is the Reading section? Correct Answer: 40 questions, 35 minutes
How many minutes and questions is the Science section? Correct Answer: 40 questions, 35 minutes
How long is the Writing section? Correct Answer: 40 minutes
How does the ACT determine the composite score from the 4 sections? Correct Answer: It AVERAGES
them, not adds them!
What are the two MOST TESTED contents on the Math section? Correct Answer: Pre-Algebra (20-25%)
and Plane Geometry (20-25%)
What are the three SECOND MOST tested contents on the Math section? Correct Answer: • Elementary
Algebra (15-20%)
• Intermediate Algebra (15-20%)
• Coordinate Geometry (15-20%)
What is the least tested content on the Math section? Correct Answer: Trigonometry (5-10%)
How many total science passages are there and what kind of passages are they? Correct Answer: • 3
Data Representation Passages
o 5 or 6 questions per passage
• 3 Research Summaries Passages
o 5 or 6 questions per passage
• 1 Conflicting Viewpoints Passage
o 7 questions per passage
What are the two most tested areas in the Usage and Grammar part of the English section? Correct
Answer: Correct sentence formation (20%)
Use of commas, dashes, and colons: (17%)
What are the two most tested areas in the Rhetorical Strategy part of the English section? Correct
Answer: #1. Logical Transitions: 18.4%
,• Includes transitions within sentences, between sentences, and between paragraphs
• Transition words make logical sense for context
#2. Adding Information: 16.7%
• Determining if new information is relevant to paragraph
• Understanding why new information is relevant
How many passages are there on the English section? How many questions per passage? Correct
Answer: 5 passages, 15 questions per passage
How many passages are there on the Reading section? How many questions per passage? Correct
Answer: 4 passages (3 single, 1 paired), 10 questions per passage
The five passages on the Reading section always come from which four areas? Correct Answer:
humanities, social studies, natural sciences, and literary fiction
What are the two most tested types of questions on the Reading section? Correct Answer: Little detail
(45%) and Function/Development (22%)
What 3 jobs do you have in the enhanced ACT writing? Correct Answer: 1) You have to take a position
on the topic (and defend it), but you also have to
2) evaluate not just the opposing perspective but all of the 3 perspectives in the boxes
3) Finally, and this is the most novel part, you have to discuss the relationship between the perspectives.
Find a slope with two points Correct Answer: (y2−y1)/
(x2−x1)
What do the variables stand for in y=mx + b? How do you find the x and y intercept? Correct Answer: M
is the slope, b is the y-intercept (when x is 0)
To find the x-intercept, set y=0 and solve
What is an integer? Correct Answer: A WHOLE number (not a fraction or decimal!) that can be positive
or negative
Midpoint formula Correct Answer:
Distance formula between two points Correct Answer:
How many questions on the math section will typically involve logarithms? Correct Answer: 1-2
Rewrite log (b) x = y Correct Answer:
log (b) xy = Correct Answer:
Average speed Correct Answer:
Probability of an outcome Correct Answer:
,Probability of two, mutually exclusive, outcomes both happening is Correct Answer:
Combinations Correct Answer: The possible amount of different combinations of a number of different
elements (order doesn't matter)
number of element A * number of element B * number of element C....
Volume of a rectangular solid Correct Answer: l x w x h
Area of a parallelogram
How do you find the height if not given? Correct Answer: A = b x h
Pythagorean theorem
Isosceles triangle (sides and angles) Correct Answer:
30, 60, 90 degree triangle Correct Answer:
Area of a trapezoid Correct Answer: Often, you are given enough information to drop down two 90
angles to make a rectangle and two right triangles. You'll need this for the height anyway, so you can
simply find the areas of each triangle and add it to the area of the rectangle, if you would rather not
memorize the trapezoid formula
Area of a circle Correct Answer:
Area of an arc Correct Answer:
Circumference of a circle (2 formulas) Correct Answer:
Circumference of an arc Correct Answer:
Equation of a circle Correct Answer: Given a radius and a center point of a circle (h, k)
Volume of a cylinder Correct Answer:
SOH CAH TOA triangle Correct Answer:
Cosecant Correct Answer:
Secant Correct Answer:
Cotangent Correct Answer:
nth term of an arithmatic sequence Correct Answer:
nth term of a geometric sequence Correct Answer:
x^(a+b) Correct Answer:
, x^(a-b) Correct Answer:
x^(a x b) Correct Answer:
(xy)^a Correct Answer:
radical(xy) Correct Answer:
n (in terms of logb) Correct Answer:
i^0
i^1
i^2
i^4
(the pattern repeats after that) Correct Answer: = 1
=i
= -1
= -i
Parallel lines have ____ slopes
Perpendicular lines have ____ slopes Correct Answer: equal
neg. reciprocal
intersecting lines Correct Answer: opposite angles are equal
Angles on the inside of any triangle add up to Correct Answer: 180
The length of one side of any triangle is always _______ the sum and ________ the
difference of the lengths of the other two sides. Correct Answer: LESS THAN the sum
GREATER THAN the difference
Similar triangles Correct Answer: Two or more triangles are similar if they have the same shape. The
corresponding angles are equal, and the corresponding sides
are in proportion
To convert from degrees to radians, just multiply by Correct Answer:
Distance = Correct Answer: rate x time
Reflection of a graph Correct Answer: The graph is "mirrored" along a "mirror line"
Reflections: When the mirror line is the x-axis
we change each (x,y) into Correct Answer: (x,−y)
Reflections: When the mirror line is the y-axis
we change each (x,y) into Correct Answer: (−x,y)
Transformations of y = a(x - h)^2 + k
