Quiz about ACT Math Prep - #21-40

Question 1

Question 1.

Accepted Answer

Scalene triangle

Answer

Acute triangle

Answer

Equilateral triangle

Answer

Isosceles triangle

Answer

Right triangle

Question 2

What is the slope of the line, in the standard (x,y) coordinate plane, that is parallel to x + 5y = 9 ?

Accepted Answer

-1/5

Answer

-5

Answer

1/5

Answer

9/5

Answer

9

Question 3

Question 3.

Accepted Answer

1.9

Answer

-1.9

Answer

-0.9

Answer

0.0

Answer

0.9

Question 4

The set of all positive integers that are divisible by both 15 and 35 is infinite. What is the least positive integer in this set?

Accepted Answer

105

Answer

5

Answer

50

Answer

210

Answer

525

Question 5

Question 5.

Accepted Answer

61 degrees

Answer

32 degrees

Answer

42 degrees

Answer

58 degrees

Answer

62 degrees

Question 6

Question 6.

Accepted Answer

71%

Answer

80%

Answer

65%

Answer

41%

Answer

29%

Question 7

On the first 7 statistics tests of the semester, Jamal scored 61, 76, 79, 80, 80, 84, and 91. The mean, median, and mode of his scores were 79, 80, and 80, respectively. On the 8th statistics test, Jamal scored 90. How do the mean, median, and mode of all 8 of his scores compare to the mean, median, and mode of his first 7 scores?

Accepted Answer

Mean - greater

Median - equal

Mode - equal

Answer

Mean - equal

Median - greater

Mode - greater

Answer

Mean - greater

Median - greater

Mode - greater

Answer

Mean - greater

Median - greater

Mode - equal

Answer

Mean - greater

Median - equal

Mode - greater

Question 8

Question 8.

Accepted Answer

105

Answer

45

Answer

102

Answer

140

Answer

210

Question 9

One side of the square ABCD has a length of 12 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 8 meters. What is the length, in meters, of the rectangle?

Accepted Answer

18

Answer

12

Answer

16

Answer

20

Answer

24

Question 10

The average of a list of 4 numbers is 92.0. A new list of 4 numbers has the same first 3 numbers as the original list, but the fourth number in the original list is 40, and the fourth number in the new list is 48. What is the average of the new list of numbers?

Accepted Answer

94.0

Answer

81.0

Answer

92.0

Answer

94.4

Answer

96.6

Question 11

The vector i represents 1 mile per hour east, and the vector j represents 1 mile per hour north. Maria is jogging south at 12 miles per hour. One of the following vectors represents Maria's velocity, in miles per hour. Which one?

Accepted Answer

-12j

Answer

-12i

Answer

12i

Answer

12j

Answer

12i + 12j

Question 12

Question 12.

Accepted Answer

31/80

Answer

2/11

Answer

8/11

Answer

3/22

Answer

31/60

Question 13

Aurelio is purchasing carpet tiles to cover an area of his living room floor that is 8 1/3 feet wide by 10 feet long. Each carpet tile is a square 20 inches wide by 20 inches long. What is the minimum number of carpet tiles that Aurelio must purchase to cover this area of his living room floor?

Accepted Answer

30

Answer

5

Answer

11

Answer

21

Answer

84

Question 14

In the standard (x,y) coordinate plane, a circle with its center at (8,5) and a radius of 9 coordinate units has which of the following equations?

Accepted Answer

$$\left(x-8\right)^2\ +\ \left(y-5\right)^2\ =\ 81$$

Answer

$$\left(x-8\right)^2\ +\ \left(y-5\right)^2=9$$

Answer

$$\left(x+8\right)^2+\left(y+5\right)^2=81$$

Answer

$$\left(x+8\right)^2+\left(y+5\right)^2=9$$

Answer

$$\left(x+5\right)^2+\left(y+8\right)^2=81$$

Question 15

It cost $2,500 to administer each Yq test and $50 to administer each Sam77 test. What was the total cost to administer both tests to all volunteers?

Accepted Answer

$2,550,000

Answer

$1,537,500

Answer

$1,556,750

Answer

$1,568,250

Answer

$2,500,000

Question 16

What percentage of the volunteers actually carry Yq77?

Accepted Answer

61.5%

Answer

57.5%

Answer

60.0%

Answer

60.5%

Answer

62.5%

Question 17

For how many volunteers did the Sam77 test give an incorrect result?

Accepted Answer

35

Answer

10

Answer

25

Answer

385

Answer

400

Question 18

One of the volunteers whose Sam77 test results was positive will be chosen at random. To the nearest 0.001, what is the probability the chosen volunteer does not possess Yq77?

Accepted Answer

0.017

Answer

0.026

Answer

0.035

Answer

0.041

Answer

0.063

Question 19

Regardless of how the graph is oriented in the standard (x,y) coordinate plane, NO graph in one of the following categories has a vertical line of symmetry. Which one?

Accepted Answer

Line

Answer

Square

Answer

Pentagon

Answer

Parallelogram

Answer

Scalene Triangle

ACT Math Prep - #21-40

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