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“A #2 pencil and a dream can take you anywhere”
-Joyce Meyer
1. Which of the following equations could be used to determine the value of x?
A. 13sin x = 5
B. 12 tan x = 5
C. 12cos x = 13
D. 5 tan x = 12
E.
cos x
= 12
5
2. A rectangular soccer field has an area of 4,500 square meters. The length of the field is 10 meters more than
twice the width. Which of the following equations could be used to find the, w, in feet, of the soccer field?
A. w2 = 4,500 - 10w
B. 2 ( w + 10 ) + w = 4,500
C. w + 10 ( 2w ) = 4,500
D. w ( 2w + 10 ) = 4,500
(
)
E. w w2 + 10 = 4,500
3. Last year on his vegetable farm, Phil planted carrots in a square-shaped plot, with sides measuring 18 feet. This
year, he changed this plot into a rectangular design with the same area as the original square section. If the new
width of this section is 12 feet, what is its length, in feet?
A.
B.
C.
D.
E.
18
21
27
30
36
4. In the figure below, angle K is a right angle, JL is 17 inches long, and KL is 8 inches long. If the measures of
angle J is s, then tan s = ?
A.
B.
C.
D.
E.
17
8
17
15
15
17
8
15
8
17
5. What is the radius of a circle in the standard ( x, y ) coordinate plane with an equation of
( x + 9)2 + ( y + 7)2 = 64 ?
A.
B.
C.
D.
E.
64
32
16
12
8
6. In the figure below, the circle centered at K is contained within the square ABCD. The length of KL is 7 inches.
If the circle is cut out of the square, how much of the area, in square inches, of the square, will remain?
A.
B.
C.
D.
E.
196 - 49p
196 - 14p
14p
49p
196 + 14p
7. What is the value of s if the line in the standard ( x, y ) coordinate plane that passes through the points ( 3s,16 )
and ( 2s,6 ) has slope A.
B.
C.
D.
E.
5
?
2
-11
-4
0
4
11
8. The height of a triangle is
2
the length of the base. What is the area of the triangle if the height is 14 inches?
3
1
square inches
3
1
B. 93 square inches
3
2
C. 130 square inches
3
A. 65
D.
E.
147 square inches
294 square inches
9. The circumference of a circle is
24p inches. What is the area of the circle?
A. 12p square inches
B. 24p square inches
C. 36p square inches
D. 144p square inches
E. 576p square inches
10. What is the midpoint of the line segment connecting ( -2,5 ) to ( -4,-16 ) ?
A.
( -6,-11)
æ
11 ö
÷
2ø
C. ( -2,-21)
æ 21 ö
D. ç 1, ÷
è 2ø
E. ( 2,21)
B. ç -3,è
11. What is the slope of the line 2x - 3y = 4 ?
A. -3
B. -
4
3
2
3
3
D.
2
C.
E. 2
12. In the standard ( x, y ) coordinate plane the points A is located at ( 4, 7 ) and B is located at ( 2,-5 ) . Find the
length of AB.
A.
14 units
B. 3 2 units
C.
58 units
D. 2 37 units
E. 14 units
13. If a rectangle measures 42 meters by 56 meters, what is the length, in meters, of the diagonal of the rectangle?
A.
B.
C.
D.
E.
48
49
70
98
196
14. What is the slope – intercept form of -3x - y + 7 = 0
A.
B.
C.
D.
E.
y = 3x - 7
y = 3x + 7
y = -7x + 3
y = -3x - 7
y = -3x + 7
15. For right triangle
A.
B.
C.
D.
E.
VABC below, what is tanC?
c
a
c
b
a
c
a
b
b
a
16. A chord 30 centimeters long is 8 centimeters from the center of a circle, as shown below. What is the radius of
the circle, to the nearest tenth of a centimeter?
A.
B.
C.
D.
E.
38.0
34.0
31.2
22.8
17.0
17. Parallelogram FGHJ, with dimensions in centimeters, is shown in the figure below. What is the area of the
parallelogram, in square centimeters?
A.
B.
C.
D.
E.
45
130
240
260
480
18. A painter leans a 35-foot ladder against a house. The side of the house is perpendicular to the level ground, and
the base of the ladder is 15 feet away from the base of the house. To the nearest foot, how far up the hours will
the ladder reach?
A.
B.
C.
D.
E.
15
20
32
38
50
19. A circle of radius 6 inches is inscribed in a square, as shown below. What is the area of the square, in square
inches?
A.
B.
C.
D.
E.
36
42
72
36p
144
20. What is the distance in the standard ( x, y ) coordinate plane between the points ( 2, 0 ) and ( 0, 7 ) ?
A.
B.
C.
D.
E.
5
9
25
81
53
21. A circle in the standard ( x, y ) coordinate plane is tangent to the x-axis at 4 and tangent to the y-axis at 4. Which
of the following is an equation of the circle?
A. x 2 + y2 = 4
B. x 2 + y2 = 16
C.
D.
E.
( x - 4 )2 + ( y - 4 )2 = 4
( x - 4 )2 + ( y - 4 )2 = 16
( x + 4 )2 + ( y + 4 )2 = 16
22. What is the slope of the line 12y + 4x = 17
A. 17
B. 12
C. 4
17
12
1
E. 3
D.
23. In the ( x, y ) coordinate plane, what is the radius of the circle ( x - 1) + ( y + 2 ) = 8 ?
2
2
A. 1
B.
2
C. 2
D.
8
E. 8
24. In trapezoid WXYZ below, angle XWZ and angle WZY are both right angles. If WX is 13 inches long, XY 10
inches long, and WZ 8 inches long, how many inches long is ZY ?
A. 13
B.
269
C. 17
D. 19
E. 5 17
25. What is the point in the standard ( x, y ) coordinate plane that is the center of a circle with the equation
( x + 3)2 + ( y - 7 )2 = 16 ?
A.
B.
C.
D.
E.
( 7, 3)
( 4, 4 )
( 3,-7 )
( -3, 4 )
( -3, 7 )
26. What is the y-intercept of the line determined by the equation 5x - 2y - 9 = 0?
9
2
5
B. 2
5
C.
2
9
D.
2
A. -
E. 9
27. What is the distance, in units, between the points with standard ( x, y ) coordinates ( -2, 3) and ( -6,10 ) ?
A.
65
91
B.
C. 11
D.
113
185
E.
28. The length of a rectangle is 3 times its width. The area of the rectangle is 48 square inches. What is the width, in
feet, of the rectangle?
A.
B.
C.
D.
E.
4
8
12
16
22
29. Jerry’s bedroom is 2 meters wider than it is long. Its area is 99 square meters. How many meters wide is the
bedroom?
A. 9
B.
99
C. 11
D. 23
E. 45
1
2
30. The area of a circle is 25p square units. What is the circumference of the circle?
A.
B.
C.
D.
E.
5
10
5p
25
10p
31. The diagonal of a rectangle is 17 units long, and one side is 15 units long. How many units squared is the area of
the rectangle?
A.
B.
C.
D.
E.
46
120
136
208
255
32. An emergency exit ramp goes from the door of a plane to the ground. If the ramp is 29 feet long and the end of
the ramp is 21 feet away from the plane, how many feet above the ground is the start of the ramp?
A. 1,282
B. 400
C. 53
D. 1,282
E. 20
33. In the standard ( x, y ) coordinate plane, a line passes through the point ( -4,6 ) and has a slope of the x-coordinate of a point on the line having a y-coordinate of 3?
A.
B.
C.
D.
E.
1
. What is
3
-13
-8
3
5
9
34. Sam has a compost bin in the shape of a rectangular box with a length of 3 ft, a width of 4 ft, and a height of 2 ft.
Tina has a compost bin in the shape of a rectangular box with a length of 4 ft, a width of 5 ft, and a height of 3 ft.
The volume of Tina’s bin is how many cubic feet more than the volume of Sam’s bin?
A.
B.
C.
D.
E.
1
3
24
36
60
35. What is the slope of the line through ( -5,2 ) and ( 6, 7 ) in the standard ( x, y ) coordinate plane?
A. 9
B. 5
C. -5
5
11
5
E. 11
D.
36. What is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long,
respectively?
A.
13
85
B.
C. 13
D. 21
E. 42
37. Which of the following trigonometric equations is valid for the side measurement x inches, diagonal measurement
o
y inches, and angle measurement w in the rectangle shown below?
x
y
x
cot wo =
y
x
sec wo =
y
x
sin wo =
y
x
tan wo =
y
o
A. cos w =
B.
C.
D.
E.
38. In the standard ( x, y ) coordinate plane, the midpoint of AB is ( 4,-3) and A is located at (1,-5 ) . If ( x, y ) are
the coordinates of B, what is the value of x + y?
A.
B.
C.
D.
E.
19
8
6
-1.5
-3
39. The edges of a cube are each 3 inches long. What is the surface area, in square inches, of this cube?
A.
B.
C.
D.
E.
9
18
27
36
54
40. A trapezoid is shown below with the given dimensions in meters. What is the area, in square meters, of the
trapezoid?
A.
B.
C.
D.
E.
9
15
18
24
48
41. In the figure below, the small isosceles right triangles are congruent. The area of the square is 225 square inches.
What is the total area, in square inches, of the 2 small triangles
A.
B.
C.
D.
E.
75
112.5
150
225
450
42. If (1,b ) is on the graph of the equation x - 3y = 7 in the standard ( x, y ) coordinate plane, then b = ?
A. B.
C.
D.
E.
-2
2
3
6
8
3
43. In the standard ( x, y ) coordinate plane, what ist he slope of a line passing through the points ( -1,-8 ) and ( 0, 6 )
A. -14
B. -2
C.
1
14
D. 2
E. 14
44. A circle in the standard ( x, y ) coordinate plane has its center at ( 2, 6 ) and an area of
units. Which of the following is an equation for this circle?
A.
B.
C.
D.
E.
4p square coordinate
( x - 6)2 - ( y - 2)2 = 16
( x - 6 )2 + ( y - 2 )2 = 4
( x - 6)2 + ( y - 2)2 = 16
( x - 2 )2 + ( y - 6 )2 = 4
( x - 2)2 + ( y - 6)2 = 16
45. What is the volume, in cubic centimeters, of a cube whose edges each measure 4 centimeters in length?
A.
B.
C.
D.
E.
12
16
24
64
96
46. The circumference of each tire on a bicycle is 50 inches. About how many revolutions does one of these bicycle
tires make traveling 300 feet (3,600 inches) without slipping?
A.
B.
C.
D.
E.
6
18
72
300
864
47. Which of the following is an equation of the line that passes through the points (1, 3) and ( -3,-13) in the
standard ( x, y ) coordinate plane?
A.
B.
C.
D.
E.
x+y=4
4x - y = 1
5x - y = 2
6x - 2y = 8
7x - 2y = 5
48. A square has sides that are the same length as the radius of a circle. If the circle has an area of 36p square units,
how many units long is the perimeter of the square?
A.
B.
C.
D.
E.
18
24
36
72
324
49. What is the distance, in coordinate units, between the points P ( -2,-1) and Q (1, 3) in the standard ( x, y )
coordinate plane?
A.
B.
C. 3
D. 5
E. 7
5
7
50. In the standard ( x, y ) coordinate plane, (12, 3) is half-way between ( 2a,a + 3) and ( 4a,a - 5 ) . What is the
value of a?
A.
B.
C.
D.
E.
0
2
3
4
6
51. Three identical cubes with 2 inches long are placed one on top of the other as shown below. What is the volume,
in cubic inches, of the resulting rectangular solid?
A.
B.
C.
D.
E.
48
36
24
18
12
52. What is the midpoint of a line segment whose endpoints have coordinates ( -5, 3) and (15,-9 ) in the standard
( x, y ) coordinate plane?
A.
B.
C.
D.
E.
( -2,6 )
( -1, 3)
( 5,-3)
(10,-6 )
(10,6 )
53. From the intersection of Highway 12 and County Road F, a person walks due south 4 kilometers and then turns
90o and walks due east an equal distance. Along the straight-line path, how many kilometers is the person from
the original intersection?
A.
4
2
B. 4 2
C. 4 3
D. 8
E. 8 2
54. A rectangle has an area of 48 square meters and a width of 6 meters. What is the perimeter, in meters, of the
rectangle?
A.
B.
C.
D.
E.
8
14
24
28
32
55. What is the midpoint of the line segment with endpoints ( 3,5 ) and ( -1, 3) in the standard ( x, y ) coordinate
plane?
A.
B.
C.
D.
E.
( 0, 6 )
(1, 4 )
( 2,1)
( 2, 8 )
( 4, 2 )
56. In VABC below, ÐB is a right angle, the measure of
in inches, of AB ?
A.
ÐC is 30o , and AC is 4 inches long. What is the length,
2
3
B.
3
C. 2
D. 43
E. 2 3
57. A surveyor wants to approximate a river’s width. As shown in the figure below, points A and C are located on
the west bank of a river and point B is located on the east bank of the river such that ÐACB is a right angle. She
o
measures and finds that the length of AC is 54 meters and the measure of ÐBAC is 68 .
A.
B.
C.
D.
E.
58
108
134
136
144
58. One side of a square ABCD is 12 meters long. A rectangle with the same area as square ABCD has a length of 9
meters. What is the rectangle’s width, in meters?
A.
B.
C.
D.
E.
3
16
21
108
144
59. What is the sum of the 2 solutions of the equation x + x - 6 = 0 ?
2
A.
B.
C.
D.
E.
-6
-3
-1
0
2
o
60. In the right triangle shown below, a leg is 2 meters long and its adjacent acute angle measures 53 . About how
many meters long is the hypotenuse?
A.
B.
C.
D.
E.
2.5
2.7
3.3
3.5
3.6
61. A circle with a diameter of 8 inches is inscribed in square ABCD, as shown below. What is the area, in square
inches, of the shaded region?
A. 64 - 64p
B. 64 - 16p
C. 16 - 4p
D. 16 - 16p
E. 4p - 16
62. The right rectangular prism shown below has a base that is 4 meters by 6 meters and a volume of 240 cubic
meters. What is the total surface area, in square meters, of all 6 faces of the prism?
A.
B.
C.
D.
E.
248
240
144
124
Cannot be determined form the given information
63. The length and width of a rectangular practice field for the new spaceball game must be 3x yards and (2x – 5)
yards, respectively. Which of the following expressions in terms of x gives the number of square yards of
artificial grass needed to cover the field?
A.
B.
C.
D.
E.
5x – 5
10x – 10
15x - 6x 2
6x 2 - 15x
24x 2 - 60x
64. The equation of a circle is x 2 + y2 = 36 . If this circle is graphed in the standard ( x, y ) coordinate plane, what
will be the y-intercepts?
A.
B.
C.
D.
E.
(0, 1) and (0, -1)
(0, 6) and (0, -6)
(0, 12) and (0, -12)
(0, 18) and (0, -18)
(0, 36) and (0, -36)
(
)
65. If the point with the coordinates 3, y1 lies on the graph of y = -3x + 2 , what is the value of y1 ?
A.
B.
C.
D.
E.
-7
-11
-18
-31
-35
66. What is the distance, in units, between the points ( 2, 3) and ( 4, 5 ) in the standard ( x, y ) coordinate plane?
A. 1
B.
2
C. 2
D. 2 2
E. 4 2
67. What is the slope of the line through ( 2,-5 ) and ( -3, 4 ) in the standard ( x, y ) coordinate plane?
A. - 95
B. - 59
C.
1
9
9
5
D.
E. 9
68. The dimensions of parallelogram ABCD, shown below, are given in centimeters. What is the area, in square
centimeters, of parallelogram ABCD?
A.
B.
C.
D.
E.
25
36
40
50
80