Questão 01

The weekly fee for staying at the Pleasant Lake Campground is $20 per vehicle and $10 per person. Last year, weekly fees were paid for v vehicles and p persons. Which of the following expressions gives the total amount, in dollars, collected for weekly fees last year?

A. 20v + 10p

B. 20p + 10v

C. 10(v + p)

D. 30(v + p)

E. 10(v + p) + 20p


Questão 02

If r = 9, b = 5, and g = −6, what does (r + bg)(b + g) equal?

F. -20

G. -8

H. 8

J. 19

K. 20


Questão 03

A copy machine makes 60 copies per minute. A second copy machine makes 80 copies per minute. The second machine starts making copies 2 minutes after the first machine starts. Both machines stop making copies 8 minutes after the first machine started. Together, the 2 machines made how many copies?

A. 480

B. 600

C. 680

D. 720

E. 960


Questão 04

Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon’s score for his 6th game?

F. 200

G. 210

H. 231

J. 240

K. 245


Questão 05

Joelle earns her regular pay of $7:50 per hour for up to 40 hours of work in a week. For each hour over 40 hours of work in a week, Joelle is paid 1 ½ times her regular pay. How much does Joelle earn for a week in which she works 42 hours?

A.  $126:00

B.  $315:00

C.  $322:50

D.  $378:00

E.  $472:50


Questão 06

Which of the following mathematical expressions is equivalent to the verbal expression “A number, x, squared is 39 more than the product of 10 and x ”?

F.   2x = 39 + 10x

G.   2x = 39x + 10x

H.   x2= 39 − 10x

J.   x2 = 39 + x10

K.   x2 = 39 + 10x


Questão 07

If 9(x - 9) = -11, then x = ?


Questão 08

Discount tickets to a basketball tournament sell for $4.00 each. Enrico spent $60.00 on discount tickets, $37.50 less than if he had bought the tickets at the regular price. What was the regular ticket price?

F. $2.50

G. $6.40

H. $6.50

J. $7.50

K. $11.00


Questão 09

The expression (3x - 4y2)(3x + 4y2) is equivalent to:

A.   9x2 - 16y4

B.   9x2 - 8y4

C.   9x2 + 16y4

D.   6x2 - 16y4

E.   6x2 - 8y4


Questão 10

A rectangle has an area of 32 square feet and a perimeter of 24 feet. What is the shortest of the side lengths, in feet, of the rectangle?

F. 1

G. 2

H. 3

J. 4

K. 8


Questão 11

In , the sum of the measures of and is 47°. What is the measure of ?

A. 47°

B. 86°

C. 94°

D. 133°

E. 143°

Questão 12

In the school cafeteria, students choose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. How many different lunches are possible for a student who chooses exactly 1 sandwich, 1 soup, 1 salad, and 1 drink?

F. 2

G. 4

H. 12

J. 36

K. 72


Questão 13

For 2 consecutive integers, the result of adding the smaller integer and triple the larger integer is 79. What are the 2 integers?

A. 18, 19

B. 19, 20

C. 20, 21

D. 26, 27

E. 39, 40


Questão 14

A function f(x) is defined as f(x) = -8x2. What is f(-3)?

F.   - 72

G.     72

H.    192

J.   - 576

K.    576


Questão 15

If 3x = 54, then which of the following must be true?

A.  1 < x < 2

B.  2 < x < 3

C.  3 < x < 4

D.  4 < x < 5

E.  5 < x


Questão 16

What is the least common multiple of 70, 60, and 50?

F. 60

G. 180

H. 210

J. 2,100

K. 210,000


Questão 17

Hot Shot Electronics is designing a packing box for its new line of Acoustical Odyssey speakers. The box is a rectangular prism of length 45 centimeters, width 30 centimeters, and volume 81;000 cubic centimeters. What is the height, in centimeters, of the box?

A. 75

B. 60

C. 48

D. 27

E. 18


Questão 18

Four points, A, B, C, and D, lie on a circle having a circumference of 15 units. B is 2 units counterclockwise from A. C is 5 units clockwise from A. D is 7 units clockwise from A and 8 units counterclockwise from A. What is the order of the points, starting with A and going clockwise around the circle?

F. A, B, C, D

G. A, B, D, C

H. A, C, B, D

J. A, C, D, B

K. A, D, C, B


Questão 19

A group of cells grows in number as described by theequation y = 16(2)t, where t represents the number of days and y represents the number of cells. According to this formula, how many cells will be in the group at the end of the first 5 days?

A.  80

B.  160

C.  400

D.  512

E.  1,280


Questão 20

The length of a rectangle is 3 times the length of a smaller rectangle. The 2 rectangles have the same width. The area of the smaller rectangle is A square units. The area of the larger rectangle is kA square units. Which of the following is the value of k?


Questão 21

(a + 2b + 3c) - (4a + 6b - 5c) is equivalent to:

A. - 4a - 8b - 2c

B. - 4a - 4b + 8c

C. - 3a + 8b - 2c

D. - 3a - 4b - 2c

E. - 3a - 4b + 8c


Questão 22

The dimensions of the right triangle shown below are given in feet. What is sin ?




Questão 23

In a basketball passing drill, 5 basketball players stand evenly spaced around a circle. The player with the ball (the passer) passes it to another player (the receiver). The receiver cannot be the player to the passer’s immediate right or left and cannot be the player who last passed the ball. A designated player begins the drill as the first passer. This player will be the receiver for the first time on which pass of the ball?

A. 4th

B. 5th

C. 6th

D. 10th

E. 24th


Questão 24

Lines p and n lie in the standard (x, y) coordinate plane. An equation for line p is y = 0.12x + 3;000. The slope of line n is 0.1 greater than the slope of line p. What is the slope of line n?

F. 0.012

G. 0.02

H. 0.22

J. 1.2

K. 300


Qustão 25

The expression -8x3(7x6 - 3x5) is equivalent to:

A.  -56x9 + 24x8

B.  -56x9 - 24x8

C.  -56x18 + 24x15

D.  -56x18 - 24x15

E.  -32x4


Questão 26

-3j - 6 + 8j =?

F. -42

G. -6

H. -1

J. 6

K. 42


Questão 27

In right triangle below, is parallel to , and is perpendicular to at D. The lenght of is 20 feet, the lenght of is 3 feet, and the lenght of is 4 feet. What is the lenght, in feet, of ?



A. 10

B. 12

C. 15

D. 16

E. 17

Questão 28

As part of a lesson on motion, students observed a cart rolling at a constant rate along a straight line. As shown in the chart below, they recorded the distance, y feet, of the cart from a reference point at 1-second intervals from t = 0 seconds to t = 5 seconds.


i 0 1 2 3 4 5
y 14 19 24 29 34 39


Which of the following equations represents this data?

F.  y = t + 14

G.  y = 5t + 9

H.  y = 5t + 14

J.  y = 14t + 5

K.  y = 19t


Questão 29

The inequality 6( x + 2 ) > 7( x - 5 ) is equivalent to which of the following inequalities?

A. x < - 23

B. x < 7

C. x < 17

D. x < 37

E. x < 47


Questão 30

The sides of a square are 3 cm long. One vertex of the square is at (2; 0) on a square coordinate grid marked in centimeter units. Which of the following points could also be a vertex of the square?

F. (- 4, 0)

G. (0, 1)

H. (1, -1)

J. (4, 1)

K. (5, 0)


Questão 31

For , shown below, which of the following is an expression for y in terms of x?




Questão 32

A bag contains 12 red marbles, 5 yellow marbles, and 15 green marbles. How many additional red marbles must be added to the 32 marbles already in the bag so that the probability of randomly drawing a red marble is ?

F. 13

G. 18

H. 28

J. 32

K. 40

Questão 33

What are the quadrants of the standard (x; y) coordinate plane below that contain points on the graph of the equation 4x - 2y = 8?



A.  I and III only

B.  I, II, and III only

C.  I, II, and IV only

D.  I, III, and IV only

E.  II, III, and IV only


Qestão 34

The graph of y = -5x2 + 9 passes through (1, 2a) in the standard (x, y) coordinate plane. What is the value of a?

F.  2

G.  4

H.  7

J.  -1

K.  -8


Questão 35

Jerome, Kevin, and Seth shared a submarine sandwich. Jerome ate     of the sandwich, Kevin ate     of the sandwich, and Seth ate the rest. What is the ratio of Jerome’s share to Kevin’s share to Seth’s share?

A. 2:3:6

B. 2:6:3

C. 3:1:2

D. 3:2:1

E. 6:3:2

Questão 36

A particular circle in the standard (x; y) coordinate plane has an equation of (x - 5)2 + y2 = 38. What are the radius of the circle, in coordinate units, and the coordinates of the center of the circle?

    radius    center

F.  √38       (5; 0)

G.  19        (5; 0)

H.  38        (5; 0)

J.  √38       (-5; 0)

K.  19        (-5; 0)


Questão 37

The figure below consists of a square and 2 semicircles, with dimensions as shown. What is the outside perimeter, in centimeters, of the figure?

A.  8 + 8

B.  16 + 8

C.  16 + 16

D.  32 + 8

E.  32 + 16


Questão 38

In the figure below, points E and F are the midpoints of sides and In the figure below, points E and F are the midpoints of sides and of rectangle ABCD, point G is the intersection of and , and point H is the intersection of and . The interior of ABCD except for the interior of EGFH is shaded. What is the ratio of the area of EGFH to the area of the shaded region?



F. 1:2

G. 1:3

H. 1:4

J. 1:6

K. Cannot be determined from the given information

Questão 39

The coordinates of the endpoints of , in the standard (x; y) coordinate plane, are (-4, -2) and (14, 2). What is the x-coordinate of the midpoint of ?

A. 0

B. 2

C. 5

D. 9

E. 10

Questão 40

What is the surface area, in square inches, of an 8-inch cube?

F. 512

G. 384

H. 320

J. 256

K. 192


Questão 41

The equations below are linear equations of a system where a, b, and c are positive integers.

ay + bx = c

ay - bx = c

Which of the following describes the graph of at least 1 such system of equations in the standard (x,y) coordinate plane?

I. 2 parallel lines

II. 2 intersecting lines

III. A single line

A. I only

B. II only

C. III only

D. I or II only

E. I, II, or III


Questão 42

According to the measurements given in the figure below, which of the following expressions gives the distance, in miles, from the boat to the dock?




Questão 43

The circle graph below shows the distribution of registered voters, by age, for a community. Registered voters are randomly selected from this distribution to be called for jury duty. What are the odds (in the age range:not in the age range) that the first person called for jury duty is in the age range of 25-35 years?



A.   1:3

B.   7:8

C.   7:43

D.  21:29

E.   42:25


Questão 44

The design of the stained-glass panel has how many lines of symmetry in the plane of the panel?

F. 2

G. 4

H. 8

J. 16

K. Infinitely many


Questão 45

What is the area of the stained-glass panel, to the nearest 0:1 square foot?

A. 3.1

B. 4.0

C. 6.2

D. 8.0

E. 12.6


Questão 46

Kaya wants to install a new circular stained-glass window in her living room. The design of the window will be identical to that of the panel. The diameter of the new window will be 75% longer than the diameter of the panel. The new window will be how many feet in diameter?

F. 1:50

G. 2:50

H. 2:75

J. 3:50

K. 4:00


Questão 47

In the figure below, || , bisects , and bisects . If the measure of is 82°, what is the measure of ?



A.   86°

B.   88°

C.   90°

D.   92°

E.   Cannot be determined from the given information

Questão 48

In the circle shown below, chords and intersect at P, which is the center of the circle, and the measure of is 30°. What is the degree measure of minor arc ?

F.   30°

G.   45°

H.   60°

J.   90°

K.   Cannot be determined from the given information

Questão 49

For what value of a would the following system of equations have an infinite number of solutions?

2x - y = 8

6x - 3y = 4a

A. 2

B. 6

C. 8

D. 24

E. 32


Questão 50

The weekly constraint represented by the horizontal line segment containing (9, 2) means that each week Marcia makes a minimum of:

F. 2 large frames.

G. 9 large frames.

H. 2 small frames.

J. 9 small frames.

K. 11 small frames.


Questão 51

For every hour that Marcia spends making frames in the second week of December each year, she donates $3 from that week’s profit to a local charity. This year, Marcia made 4 large frames and 2 small frames in that week. Which of the following is closest to the percent of that week’s profit Marcia donated to the charity?

A. 6%

B. 12%

C. 14%

D. 16%

E. 19%


Questão 52

What is the maximum profit Marcia can earn from the picture frames she makes in 1 week?

F. $410

G. $460

H. $540

J. $560

K. $690


Questão 53

The determinant of a matrix equals ad -cb. What must be the value of x for the matrix to have a determinant of -16?

E.   4

Questão 54

A formula for finding the value, A dollars, of P dollars invested at i% interest compounded annually for n years is A = P(1 + 0.01i)n . Which of the following is an expression for P in terms of i, n, and A?


Questão 55

If x and y are real numbers such that x > 1 and y -1, then which of the following inequalities must be true?


Questão 56

Triangles and are shown below. The given side lengths are in centimeters. The area of is 30 square centimeters. What is the area of , in square centimeters?



F.   15

G.  19

H.  25

J.   30

K.  33


Questão 57

Triangle is shown in the figure below. The measure of is 40°, AB = 18 cm, and AC = 12 cm. Which of the following is the length, in centimeters, of ?

(Note: For a triangle with sides of length a, b, and c opposite angles , , and , respectively, the law of sines states     and the law of cosines states .)



A. 12 sin 40°

B. 18 sin 40°


Questão 58

What is the sum of the first 4 terms of the arithmetic sequence in which the 6th term is 8 and the 10th term is 13?

F. 10.5

G. 14.5

H. 18

J. 21.25

K. 39.5


Qestão 59

In the equation x2 + mx + n = 0, m and n are integers. The only possible value for x is -3. What is the value of m?

A.   3

B.  -3

C.   6

D.  -6

E.   9


Questão 60

The solution set of which of the following equations is the set of real numbers that are 5 units from -3?

F. |x + 3| = 5

G. |x - 3| = 5

H. |x + 5| = 3

J. |x - 5| = 3

K. |x + 5| = 3