ACT-Math無料問題集「ACT American College Testing: Math Section」

質問 1

The frequency chart below shows the cumulative number of Ms. Hernandez's science students whose test scores fell within certain score ranges. All test scores are whole numbers.

How many students have a test score in the interval 71 - 80?

（A）13

（B）12

（C）1

（D）8

（E）6

正解：C 解答を投票する

質問 2

Which of the following is an irrational number?

（A）4 -3

（B）

（C）

D

（D）

正解：D 解答を投票する

質問 3

Line y = 2/3x - 5 is perpendicular to line:

（A）y = -2/3x + 5

（B）y = 5 - 2/3x

（C）y = -2/3x - 5

（D）y = 2/3x - 5

（E）y = 2/3x + 5

正解：A 解答を投票する

質問 4

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. Mikea's proposal includes installing a fence on the perimeter of the park.

What is the perimeter, in feet, of the park?

（A）156

（B）104

（C）84

（D）126

（E）88

正解：A 解答を投票する

質問 5

Sales for a business were $4 million more the second year than the first, and sales for the third year were double sales of year two.
If sales of the third year were $48 million, what were sales in millions of dollars for the first year?

（A）20

（B）15

（C）10

（D）25

正解：A 解答を投票する

質問 6

Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds.
If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

（A）5.5 seconds

（B）5.4 seconds

（C）5.6 seconds

（D）6.3 seconds

（E）5.3 seconds

正解：E 解答を投票する

質問 7

The expression

is equivalent to:

（A）5/7

（B）x + 5

（C）(2x - 15) / (4x - 21)

（D）-5 / (2x - 7)

（E）(x + 5) / (x + 7)

正解：E 解答を投票する

質問 8

The length of a rectangle is one greater than three times its width. If the perimeter of the rectangle is 26 feet, what is the area of the rectangle?

（A）24 ft 2

（B）30 ft 2

（C）13 ft 2

（D）100 ft 2

（E）78 ft 2

正解：B 解答を投票する

質問 9

If the statement "No penguins live at the North Pole" is true, which of the following statements must also be true?

（A）If Flipper lives at the North Pole, then he is not a penguin.

（B）If Flipper is not a penguin, then he does not live at the North Pole.

（C）If Flipper does not live at the North Pole, then he is a penguin.

（D）All penguins live at the South Pole.

（E）If Flipper is not a penguin, then he lives at the North Pole.

正解：A 解答を投票する

質問 10

Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon.

If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

（A）$600

（B）$200

（C）$500

（D）$300

（E）$800

正解：A 解答を投票する

質問 11

A streaming box with a list price of $120 is marked down 30%.
If Steve gets an employee discount of 20% off the sale price, how much does he pay for the device?

（A）$78.40

（B）$67.20

（C）$72.30

（D）$80.00

正解：B 解答を投票する

質問 12

The expression

is equivalent to:

（A）

（B）

（C）

（D）

（E）

正解：D 解答を投票する

質問 13

In the diagram above, FDCB is a rectangle. Line ED is six units long, line AB is ten units long, and the
measure of angle ECD is 60º.

What is the length of line AE?

（A）20

（B）

（C）

（D）

（E）8

正解：D 解答を投票する

質問 14

The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number.
What is the value of the greater number minus the lesser number?

（A）85

（B）121

（C）91

（D）66

（E）19

正解：C 解答を投票する

質問 15

If n = 8, what is 4 n - 8 ?

（A）3

（B）1

（C）2

（D）0

正解：B 解答を投票する

質問 16

What is the next number in the series below?
3 16 6 12 12 8

（A）24

（B）20

（C）15

（D）4

（E）32

正解：A 解答を投票する

質問 17

Drag and drop

（A）b

（B）b / a - 1

（C）b / a 2 - 1

（D）b - a 2

（E）b / a 2 - a

正解：C 解答を投票する

質問 18

A dormitory now houses 30 men and allows 42 square feet of space per man.
If five more men are put into this dormitory, how much less space will each man have?

（A）6 square feet

（B）9 square feet

（C）5 square feet

（D）8 square feet

（E）7 square feet

正解：A 解答を投票する

質問 19

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?

（A）350

（B）320

（C）360

（D）336

（E）315

正解：D 解答を投票する

質問 20

FILL BLANK
Robert is practicing for the long jump competition. His first four jumps measure 12.4 ft, 18.9 ft, 17.3 ft, and
15.3 ft, respectively.
If he averages 16.3 feet for his first five jumps, what is the length in feet of his fifth jump?

正解：

17.6

ACT-Math 無料問題集「ACT American College Testing: Math Section」

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