[PDF] act-worksheet-proportions_-means-_-probabilitypdf - WordPresscom

2543_6act_worksheet_proportions__means___probability.pdf ACT Review Worksheet Name____________________________ Proportions, Means, & Probability Date_______________________CP____

1. What is the average of 3, 3, and 4?

A. 3

B. 133
C. 132
D. 2 3 3

E. 4

3. As a salesperson, your commission is directly

proportional to the dollar amount of sales you make. If your sales are $800, your commission is $112.

How much commission would you earn if you had a

$1,400 in sales?

A. $210

B. $196

C. $175

D. $128

E. $64

10. An urn contains 6 blue balls, 5 white balls, and 4

green balls. What is the probability that the first ball drawn at random from the urn will be white? F. 4 15 G. 1 3 H. 2 5 J. 3 5 K. 11 15

13. In a bag of 400 jelly beans, 25% of the jelly

beans are red in color. If you randomly pick a jelly bean from the bag, what is the probability that the jelly bean picked is NOT one of the red jelly beans. F. 1 2 G. 1 4 H. 3 4 J. 1 16 K. 15 16

21. A photocopy machine enlarges a small triangle

to produce a larger, similar triangle, as shown in the figure below. (The triangles are similarly oriented.) If the lengths of the sides in inches, are marked on the figure, what is the value of x? A. 1 6 2 B. 3 6 5 C. 5 6 8 D. 1 7 7 E. 1 7 5 24.
The lengths of the corresponding sides of 2 similar right triangles are in the ratio of 2:5. If the hypotenuse of the smaller triangle is 5 inches long, how many inches long is the hypotenuse of the larger triangle?

F. 2

G 2.5

H. 7

J. 10

K. 12.5

30.

To increase the mean of 4 numbers by 2, by how

much would the sum of the 4 numbers have to increase?

F. 2

G. 4

H. 6

J. 8

K. 16

32.
Television screen sizes are the diagonal length of the rectangular screen. Hector recently changed from watching a television with a 13-inch screen to a television with a similar 19-inch screen. If a boxcar appeared 8 inches long on the 13-inch screen, how long to the nearest inch, will it appear on the 19-inch screen? F. 10 G. 12 H. 14 J. 16 K. 18

32. The figure below shows 2 triangles, where

'''ABC A B C. In these similar triangles a = 9, b = 12, c = 15, and 'a= 15 with all dimensions given in feet. What is the value of 'b?

F. 14

G. 16

H. 18

J. 20

K. 22

33. In the figure below, ABCD is a square. Points

are chosen on each pair of adjacent sides of ABCD to form 4 congruent right triangles, as shown below. Each of these has one leg that is twice as long as the other leg. What fraction of the area of square ABCD is shaded? A. 1 9 B. 2 9 C. 4 9 D. 5 9 E. 8 9

43. In a certain office, the ratio of left-handed

employees to right-handed employees is 3:7. The office has 210 employees. How many employees are left handed?

A. 7

B. 21

C. 30

D. 63

E. 70

45. A 45-foot wire is cut into 2 pieces whose lengths
are in the ratio 2:3. What is the length of the shorter piece, in feet?

A. 9

B. 15

C. 18

D. 22

1 2

E. 30

48. Judy needs a test average of at least 86 to make a

"B" in her English class. If she has test scores of 81,

74, 93, 86, and 89 on 5 of her tests, what is the lowest

score she can make on her sixth test to get a "B" in

English?

F. 87

G. 89

H. 91

J. 93

K. 95

49. Elkville High won a Friday night basketball

game by 10 points; the next night they scored 25 points more than Friday, and again won by 10 points.

The sum of the opponents' scores for the 2 games

was 109. How many points did Elkville score on

Friday?

A. 37

B. 41

C. 46

D. 52

E. 72

57. In ABCshown below, ABis parallel to DE

and the lengths in units, are as marked. How many units long is DC?

A. 5

B. 16 3 C. 11 2

D. 6

E. 27
4

ANSWERS: 1.) B 3.) B 10.) G 13.) H 21.) E 24.) K 30.) J 32.) G 32.) J 33.) D 43.) D 45.) C 48.) J 49.) D 57.) B