TITLE: EMILLYCHARLOTTE 2024/2025 ACADEMIC PERIOD
OWNER: EMILLYCHARLOTTE
COPYRIGHT STATEMENT: ©2024 EMILLYCHARLOTTE. ALL RIGHTS RESERVED
FIRST PUBLISHED: SEPTEMBER 2024
Act Math Test Practice Questions and
Answers | 100% Pass
Integrating Essential Skills, Ratios, Proportions, and Percent
On a map, 1/2 inch represents 16 miles. How Many miles long is a road that is 4-3/4
inches on the map?
A
76
B
112
C
128
D
139
E
152 - ✔️✔️Correct-0.5/16 = 4.75/x (Cross Multiply to find X) -----> x = 152 Miles (E)
Integrating Essential Skills, Ratios, Proportions, and Percent
If -4 ≤ x < 2 and x is an integer, how many different values can x have?
1/50
,TITLE: EMILLYCHARLOTTE 2024/2025 ACADEMIC PERIOD
OWNER: EMILLYCHARLOTTE
COPYRIGHT STATEMENT: ©2024 EMILLYCHARLOTTE. ALL RIGHTS RESERVED
FIRST PUBLISHED: SEPTEMBER 2024
A
4
B
5
C
6
D
7
E
Infinitely many - ✔️✔️Correct-The correct answer is (C).
Integers are numerical values with no decimal part, and there are six integers greater
than or equal to -4 and less than 2 (C). There's no substitute for visual proof, so here
they are.
-4, -3, -2, -1, 0, 1
Statistics and Probability, Basic Probabilities
What is the probability that a number randomly picked from the set {2, 3, 5, 8, 13, 21,
34, 45} will be prime?
F
1/8
G
2/50
,TITLE: EMILLYCHARLOTTE 2024/2025 ACADEMIC PERIOD
OWNER: EMILLYCHARLOTTE
COPYRIGHT STATEMENT: ©2024 EMILLYCHARLOTTE. ALL RIGHTS RESERVED
FIRST PUBLISHED: SEPTEMBER 2024
1/4
H
3/8
J
1/2
K
5/8 - ✔️✔️Correct-The correct answer is (J).
The probability of randomly picking a prime number from the set is equal to the number
of primes in the set divided by the total number of numbers in the set. A quick count
shows that there are eight numbers in the set, but counting the primes takes a little
more effort.
The only factors of prime numbers are 1 and themselves. Every even number is
divisible by 2, but 2 itself isn't divisible by any other number, which makes it the only
even prime number. All the other prime numbers in the set—3, 5, and 13, to be
specific—are odd.
Writing Expressions and Equations, Integrating Essential Skills, Modeling
Matilda knits hats to sell at a local store. She spends $56.40 on the materials to make
eight hats, and each hat sells for $15. Assuming there are no additional costs or fees,
how much profit does Matilda earn per hat?
A
3/50
, TITLE: EMILLYCHARLOTTE 2024/2025 ACADEMIC PERIOD
OWNER: EMILLYCHARLOTTE
COPYRIGHT STATEMENT: ©2024 EMILLYCHARLOTTE. ALL RIGHTS RESERVED
FIRST PUBLISHED: SEPTEMBER 2024
$7.05
B
$7.85
C
$7.90
D
$7.95
E
$8.00 - ✔️✔️Correct-Matilda spent a total of $56.40 on materials, so divide that by 8 to
determine how much she spent on each hat.
$56.40 ÷ 8 = $7.05
Each hat earns Matilda $15.00, so her profit is the difference between that value and
the cost of materials. The word "difference" indicates we should subtract.
$15.00 - $7.05 = $7.95
Matilda makes $7.95 profit on each hat that she knits (D). <---Answer
$7.05 is the amount Matilda spends on each hat, not the amount she earns from it (A).
Understanding Simple Descriptive Statistics, Modeling, Statistics and Probability
After taking four 100-point tests in her math class, Ashley has an average of 85%. If
only test scores count toward her final grade, what must Ashley earn on her fifth test to
have an overall average of 90% in the class?
4/50
