検証済み！ACT-Math問題集と解答でACT-Mathテストエンジン正確解答付き
あなたを必ず合格させるACT-Math問題集PDF2023年最新のに更新された280問あります
質問 58
What is the sum of the solutions of the 2 equations below?
8 x = 12
2 y + 10 = 22
- A.
- B. 0
- C.
- D. 1
- E.
正解: A
質問 59
FILL BLANK
In the diagram above, what is the length of side FG?
正解:
解説:
21
質問 60
The number 1,001 is the product of the prime numbers 7, 11, and 13. Knowing this, what is the prime factorization of 30,030?
- A. 3 · 7 · 10 · 13
- B. 3 · 7 · 10 · 11 · 13
- C. 2 · 3 · 5 · 7 · 11 · 13
- D. 2 · 5 · 7 · 11 · 13
- E. 30 · 7 · 11 · 13
正解: C
質問 61
The lengths of the 2 legs of right triangle ABC shown below are given in inches.
The midpoint of
is how many inches
from A?
- A. 0
- B. 1
- C. 2
- D. 3
- E. 4
正解: D
質問 62
What is the degree measure of the obtuse angle formed by the hands of a 12-hour clock that reads exactly one o'clock?
- A. 150°
- B. 120°
- C. 135°
- D. 165°
正解: A
質問 63
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?
- A. 0
- B. 1
- C. 2
- D. 3
正解: A
質問 64
In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH.
If the diameter of circle O is 24 in, what is the measure of
?
- A. 45º
- B. 75º
- C. 60º
- D. 30º
- E. Cannot be determined.
正解: D
質問 65
If n = 8 and 16 × 2 m = 4 n - 8 , then m = ___.
- A. 0
- B. 1
- C. 2
- D. 3
- E. 4
正解: E
質問 66
Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6.
If there are 24 2 total flowers in her garden, how many of them are tulips?
- A. 0
- B. 1
- C. 2
- D. 3
- E. 4
正解: E
質問 67
Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
1.5 feet.
The length of the south side of the park is what percent of the length of the north side?
- A.
- B. 124%
- C. 112%
- D. 175%
- E. 250%
正解: A
質問 68
The pie chart above shows the distribution of video rentals from Al's Video Vault for a single night.
If 250 videos were rented that night, how many more action movies were rented than horror movies?
- A. 0
- B. 1
- C. 2
- D. 3
- E. 4
正解: D
質問 69
In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.
If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?
- A. 64 cm2
- B. 25 cm2
- C. 39 cm2
- D. 89 cm2
- E. 78 cm2
正解: C
質問 70
If the circumference of the circle in the diagram above is 20π units, what is the area of triangle ABC?
- A. 160π square units
- B. 80 square units
- C. 80π square units
- D. 160 square units
- E. 40 square units
正解: B
質問 71
If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?
- A. y = (x - 2) / 3
- B. y = 3 × (x - 6)
- C. y = (x + 2) / 3
- D. y = 3 × (x - 2)
正解: D
質問 72
FILL BLANK
In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the ratio of guppies to platies becomes 5:4.
How many guppies are in the fish tank now?
正解:
解説:
25
質問 73
In the diagram above, lines EF and GH are parallel, and line AB is perpendicular to lines EF and GH.
What is the length of line AB?
- A.
- B.
- C.
- D. 0
- E.
正解: E
質問 74
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