[Full-Version] 2022 New Preparation Guide of ACT ACT-Math Exam [Q120-Q140]

QUESTION 120
The diagonal of one face of a cube measures 4√2 in.
What is the volume of the cube?

QUESTION 121
Greg has nine paintings. The Hickory Museum has enough space to display three of them.
From how many different sets of three paintings does Greg have to choose?

QUESTION 122
For what value of x is the equation 8/x = 6/12?

QUESTION 123
If 3x – 1 = 11, what is the value of 3x + 1?

QUESTION 124
(4.8 × 10 -7 ) / (1.6 × 10 -11 )

QUESTION 125
The expression 9 × ( x – 3) + 2 × (4 x + 4) is equivalent to:

QUESTION 126
Which of the following has a vertex of (4, -4)?

QUESTION 127
The number of bonus points, B(p), a credit card holder receives is given by the function B(p) = 4p + 2, where p represents the number of purchases made.
If the number of purchases is increased by 8, by how much does the number of bonus points increase?

QUESTION 128
In the diagram above, lines M and N are parallel.

All of the following are true EXCEPT:

QUESTION 129
What is the tenth term of the pattern below?
2/3, 4/9, 8/27, 16/81 …

QUESTION 130
What is the tenth term of the pattern below?

QUESTION 131
Wendy tutors math students after school every day for five days. Each day, she tutors twice as many students as she tutored the previous day.
If she tutors t students the first day, what is the average (arithmetic mean) number of students she tutors each day over the course of the week?

QUESTION 132
If the expression

, then one possible value of x could be:

QUESTION 133
The Smith family is planning to build a 3-room cabin which consists of 2 bedrooms (BR) and 1 living room (LR). Shown below are the rectangular floor plan (left figure) and a side view of the cabin (right figure). In the side view, the roof forms an isosceles triangle (Δ ABC ), the walls are perpendicular to the level floor (

),

, F is the midpoint of

, and

.

During the week the Smiths plan to roof the cabin, there is 20% chance of rain each day.
Mr. and Mrs. Smith plan to roof the cabin on 2 consecutive days.
Assuming that the chance of rain is independent of the day, what is the probability that it will rain both days?

QUESTION 134
Which of the following expressions is equivalent to x2/3?

QUESTION 135
The average of 5 distinct scores has the same value as the median of the 5 scores. The sum of the 5 scores is 420.
What is the sum of the 4 scores that are NOT the median?

QUESTION 136
The expression 4x 2 – 2x + 3 is equal to 3 when x = 0 and when x =

QUESTION 137
The scatterplot above shows the speeds of different runners over time.

Which of the following could be the equation of the line of best fit?

QUESTION 138
FILL BLANK
Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
What is the area of rectangle ABCD?

QUESTION 139
The point (6, -3) could be the midpoint of which of the following lines?

QUESTION 140
The area of a circle is equal to four times its circumference.
What is the circumference of the circle?