L. Bangun Datar cube.

To the nearest cubic inch, what is the

1. Circle A has a radius of 3 n and circle B has volume of the space in the cube not taken
a radius of 129 n, where n is a positive up by the sphere?
constant. The area of circle B is how many A. 149,796
times the area of circle A? B. 164,500
A. 43 C. 190,955
B. 86 D. 310,800
C. 129
D. 1,849 6. What is the diameter of the circle in the xy-
plane with equation ( x−5 )2 + ( y −3 )2=16
2. A circle in the xy -plane has a diameter ?
with endpoints (2 , 4) and (2 , 14) . An A. 4
equation of this circle is B. 8
2 2 2
( x−2 ) + ( y−9 ) =r , where r is a positive C. 16
constant. What is the value of r ? D. 32
Answer : ___________________________
7. Each side of a square has a length of 45.
3. The perimeter of an equilateral triangle is What is the perimeter of this square?
624 centimeters. The height of this triangle Answer : ___________________________
is k √ 3 centimeters, where k is a constant.
What is the value of k ?
Answer : ___________________________

4.

8.
The circle shown has center O,
circumference 144π, and diameters PR and
QS. The length of arc PS is twice the length
of arc PQ. What is the length of arc QR ?
A. 24π
B. 48π
For the right triangle shown, a = 4 and b = C. 72π
5. Which expression represents the value D. 96π
of c?
A. 4 + 5 9. RS = 20
B. √ ( 4 ) (5 ) ST = 48
C. √ 4 +5 TR = 52
The side lengths of right triangle RST are
D. √ 4 2+ 52
given. Triangle RST is similar to triangle
UVW, where S corresponds to V and T
5. A cube has an edge length of 68 inches. A
corresponds to W. What is the value of tan
solid sphere with a radius of 34 inches is
W?
inside the cube, such that the sphere
5
touches the center of each face of the A.
13
 5
B.
12 15. Square X has a side length of 12
12 centimeters. The perimeter of square Y is 2
C.
13 times the perimeter of square X. What is
12 the length, in centimeters, of one side of
D.
5 square Y?
A. 6
10. Triangle XYZ is similar to triangle RST such B. 10

respectively. The measure of ∠Z is 20° and

that X, Y, and Z correspond to R, S, and T, C. 14
D. 24
2XY = RS. What is the measure of ∠T ?
A. 2° 16. Triangle FGH is similar to triangle JKL,
B. 10° where angle F corresponds to angle J and
C. 20° angles G and K are right angles. If sin (F) =
D. 40° 308
, what is the value of sin ( J ) ?
317
11. What is the area, in square centimeters, of 75
A.
a rectangle with a length of 34 centimeters 317
(cm) and a width of 29 cm? 308
B.
Answer : ___________________________ 317
317
C.
12. Which of the following equations 308
represents a circle in the xy -plane that 317
D.
intersects the y -axis at exactly one point? 75
A. ( x−8 )2+ ( y−8 )2=16
B. ( x−8 )2+ ( y−4 )2=16 2 2 199
17. The graph of x + x+ y + y = in the xy
C. ( x−4 )2 + ( y−9 )2=16
2
-plane is a circle. What is the length of the
D. x 2+ ( y−9 )2=16
circle’s radius?
Answer : ___________________________
13. In triangles ABC and DEF, angles B and E
each have measure 27° and angles C and F 18. In triangle ABC , the measure of angle B is
each have measure 41°. Which additional 52° and the measure of angle C is 17°.
piece of information is sufficient to What is the measure of angle A ?
determine whether triangle ABC is A. 21°
congruent to triangle DEF ? B. 35°
A. The measure of angle A C. 69°
B. The length of side AB D. 111°
C. The lengths of sides BC and EF
D. No additional information is necessary. 19. A cube has an edge length of 41 inches.
What is the volume, in cubic inches, of the
14. A right triangle has legs with lengths of 24 cube?
centimeters and 21 centimeters. If the A. 164
length of this triangle’s hypotenuse, in B. 1,681
centimeters, can be written in the form 3 C. 10,086
d, where d is an integer, what is the value D 68,921
of d ?
Answer : ___________________________
20. An isosceles right triangle has a perimeter A. 8 √ 2+¿ √ 80 ¿
of 94 +94 √ 2 inches. What is the length, in B. 12
inches, of one leg of this triangle? C. 24 √ 80
A. 47 D. 24
B. 47√ 2
C. 94 25. An isosceles right triangle has a
D. 94√ 2 hypotenuse of length 58 inches. What is
the perimeter, in inches, of this triangle?
21. Two identical rectangular prisms each A. 29 √ 2
have a height of 90 centimeters (cm). The B. 58 √ 2
base of each prism is a square, and the C. 58+58 √ 2
surface area of each prism is K cm2 . If the D. 58+116 √ 2
prisms are glued together along a square
base, the resulting prism has a surface area 26. A right circular cylinder has a base
92 diameter of 22 centimeters and a height of
of K cm2 . What is the side length, in
47 6 centimeters. What is the volume, in cubic
cm, of each square base? centimeters, of the cylinder?
A. 4 A. 132π
B. 8 B. 264π
C. 9 C. 726π
D. 16 D. 2,904π

22. The equation x 2+ ( y−1 )2=49 represents 27. ¿

circle A. Circle B is obtained by shifting The graph of the given equation is a circle
circle A down 2 units in the xy -plane. in the xy -plane. The point (a ,b) lies on
Which of the following equations the circle. Which of the following is a
represents circle B? possible value for a ?
A. ¿ A. −16
B. x 2+ ( y−3 )2=49 B. −14
C. (x +2)2+ ( y −1 )2=49 C. 11
D. x 2+ ( y+ 1 )2=49 D. 19

28. A right rectangular prism has a height of 9

23. Square P has a side length of x inches.
inches. The length of the prism’s base is x
Square Q has a perimeter that is 176
inches, which is 7 inches more than the
inches greater than the perimeter of
width of the prism’s base. Which function
square P . The function f gives the area of
V gives the volume of the prism, in cubic
square Q , in square inches. Which of the
inches, in terms of the length of the prism’s
following defines f ?
base?
A. f ( x )= ( x + 44 )2
A. V ( x )=x ( x +9 ) (x+7)
B. f ( x )= ( x +176 )2
B. V ( x )=x ( x +9 )( x−7 )
C. f ( x )= (176 x + 44 )2 C. V ( x )=9 x ( x +7 )
D. f ( x )= (176 x +176 )2 D. V ( x )=9 x ( x−7)

24. A right triangle has sides of length 2 √ 2, 29. A rectangle is inscribed in a circle, such
6 √ 2, and √ 80 , units. What is the area of that each vertex of the rectangle lies on
the triangle, in square units? the circumference of the circle. The
 diagonal of the rectangle is twice the
length of the shortest side of the rectangle.
The area of the rectangle is 1,089 3 square
units. What is the length, in units, of the
diameter of the circle?
Answer : ___________________________ 34.
The circle above has center O, the length of
30. Rectangles ABCD and EFGH are similar. The arc ADC is 5π , and x = 100. What is the
length of each side of EFGH is 6 times the length of arc ABC ?
length of the corresponding side of ABCD. A. 9 π
The area of ABCD is 54 square units. What B. 13 π
is the area, in square units, of EFGH? C. 18 π
A. 9 13
B. 36 D. π
2
C. 324
D. 1,944 35. What is the volume, in cubic centimeters,
of a right rectangular prism that has a
31. A circle in the xy -plane has center (5 , 7) length of 4 centimeters, a width of 9
and radius 2. Which of the following is an centimeters, and a height of 10
equation of the circle? centimeters?
A. ¿ Answer : ___________________________
B. ¿
C. ¿
D. ¿

32. A right circular cone has a volume of 24 π

cubic inches. If the height of the cone is 2
inches, what is the radius, in inches, of the
base of the cone?
A. 2√ 3
B. 6
C. 12
D. 36
36.
A grain silo is built from two right circular
cones and a right circular cylinder with
internal measurements represented by the
figure above. Of the following, which is
33. closest to the volume of the grain silo, in
In quadrilateral ABCD above, AD ∥ BC and 1 cubic feet?
1 A. 261.8
CD = AB. What is the measure of angle
2 B. 785.4
B? C. 916.3
A.150° D. 1,047.2
B. 135°
C. 120°
D. 90°
37.
A dairy farmer uses a storage silo that is in
the shape of the right circular cylinder
above. If the volume of the silo is 72π cubic
yards, what is the diameter of the base of
the cylinder, in yards?
Answer : ___________________________