1. Which expression is equivalent to 0.23 × 0.27?
A. 0.210
B. 0.221
C. 0.410
D. 0.421
2. What is the value of 3–2 × 3?
A.
B.
C. –18
D. –27
3. What is the value of 73 ÷ 74?
A.
B.
C.
4.
Which is equivalent to
A. 12
B. 112
C. 22
D. 212
?
5.
Which value is equivalent to
A.
B.
C.
D.
?
6. What is the value of
A. 0.09
B. 0.03
C. 0.3
D. 0.9
?
7. The volume of a cube is 729 cubic units. What is the side length
of the cube?
A. 2,187
B. 243
C. 27
D. 9
8. What is the value of x when 36 = x2?
A. 6
B. 18
C. 34
D. 72
9. The volume of a cube is 125 cm3. What is the length of each side
of the cube?
A. 5 cm
B. 11.18 cm
C. 25 cm
D. 31.25 cm
10. Zachary has two square tables. The first table has an area of
1,296 square inches, which is 512 square inches more than the
area of the second table. What is the length of the sides of
Zachary’s second table?
A. 43 inches
B. 35 inches
C. 28 inches
D. 20 inches
11. The driving distance from Raleigh, NC to Los Angeles, CA is
about 2,500 miles. How is this distance written in scientific
notation?
A. 2.5 × 102 miles
B. 2.5 × 103 miles
C. 2.5 × 104 miles
12. The masses of three planets are shown in the table below.
Planet
Venus
Earth
Mars
Mass (kg)
4.87 × 1024
5.98 × 1024
6.42 x 1023
Which shows the planets ordered from greatest to least mass?
A. Earth, Venus, Mars
B. Venus, Earth, Mars
C. Mars, Earth, Venus
D. Mars, Venus, Earth
13. Mike is about 1.6 meters tall. A rock is about 2.3 × 10–3 meters
tall. About how many times shorter is the rock compared to
Mike?
A. 1,400
B. 700
C. 140
D. 70
14. A virus has a diameter of about 2.0 × 10–8 mm. A bacteria has a
diameter of about 2.0 × 10–6 mm. How does the size of the
bacteria compare to the size of the virus?
A. The bacteria is about 10 times smaller.
B. The bacteria is about 10 times larger.
C. The bacteria is about 100 times smaller.
D. The bacteria is about 100 times larger.
15. The average distance from Jupiter to the Sun is about 7.784 ×
108 km. How should this distance be written in standard form?
A. 778,400,000,000 km
B. 7,784,000,000 km
C. 778,400,000 km
D. 77,840,000 km
16.
What is the value of
A. 0.02
B. 0.2
C. 2
D. 200
?
17. What is the value of (1.48 × 10–8) ÷ (2 × 10–6)?
A. 0.74
B. 0.074
C. 0.0074
D. 0.00074
18. What is the value of (0.00035)(1.75 × 10–4) in scientific
notation?
A. 2.1 × 10–8
B. 6.125 × 10–8
C. 6.125 × 10–4
D. 2.1 × 103
19.
What is the value of the expression
A. 1.5 × 10–12
B. 1.5 × 104
C. 1.75 × 10–12
D. 1.75 × 104
?
20.
What is the value of
A. 1.7
B. 17
C. 170
D. 1,700
?
21. The sum of three consecutive integers is 87. What is largest
value of the three integers?
A. 28
B. 29
C. 30
D. 31
22. What is the value of x in the equation 2x + 9 = 5x − 6?
A. –5
B. 3
C. 5
23. What is the value of p in the equation 2(p – 5) = 2(10 + 2p)?
A. 15
B. 5
C. –5
D. –15
24. Which equation below has infinitely many solutions?
A.
B.
C.
D.
25. What is the value of m in the equation below?
4(m + 2) = –4(m – 2)
A. 0
B. no solution
C. infinitely many solutions
26. Triangle JKL is graphed below.
The triangle will be translated 8 units to the right and 6 units
down. What will be the coordinates of the image point J′?
A. (2, –6)
B. (4, –4)
C. (6, –4)
D. (6, –8)
27. Triangle MNO has coordinates M(0, 0), N(5, 3), and O(5, –4).
Triangle MNO will be rotated 270° counterclockwise about the
origin. What will be the coordinates of O′?
A. (4, 5)
B. (4, –5)
C. (–4, 5)
D. (–4, –5)
28. Point S on a coordinate plane is located at (–3, 4). The point will
be translated 2 units left and 3 units down. What will be the
coordinates of the image point S′?
A. (2, –6)
B. (1, –5)
C. (–5, 1)
D. (–6, 2)
29 Figure X’ is the image of figure X after a dilation.
.
What scale factor was used for the dilation?
A.
B.
C.
D.
30. The vertices of a square are W(3, 3), X(3, –3), Y(–3, –3), and Z(–
3, 3). The square will be dilated using a scale factor of 2. What
will be the coordinates of the image?
A. W′(1.5, 1.5), X′(1.5, –1.5), Y′(–1.5, –1.5), Z′(–1.5, 1.5)
B. W′(5, 5), X′(5, –5), Y′(–5, –5), Z′(–5, 5)
C. W′(6, 6), X′(6, –6), Y′(–6, –6), Z′(–6, 6)
D. W′(9, 9), X′(9, –9), Y′(–9, –9), Z′(–9, 9)
31. Triangle NPQ is shown below.
What is the measure of ∠NQP?
A. 22°
B. 23°
C. 24°
D. 26°
32. In the figure below, lines m and n are parallel.
What is the value of x?
A. 34
B. 58
C. 63
D. 75
33. In the figure below, lines x and y are parallel.
What is the value of n?
A. 10
B. 26
C. 36
34. In the figure below, lines g and h are parallel.
What is the measure of ∠x?
A. 100°
B. 112°
C. 123°
D. 125°
35. In the figure below, lines k and m are parallel.
What is the measure of ∠x?
A. 41°
B. 49°
C. 131°
D. 139°
36. What is the length of the hypotenuse in the right triangle below?
A. 8 in.
B. 15 in.
C. 20 in.
D. 21 in.
37. A right triangle is shown below.
What is the measure of the missing side, x?
A. 4 cm
B. 8 cm
C. 12 cm
38. Mr. Lopez has a rectangular classroom that measures 36 feet by
28 feet. What is the approximate diagonal measurement of the
room?
A. 23 feet
B. 44 feet
C. 46 feet
39. The width of a rectangular swimming pool is 16 ft. The diagonal
of the swimming pool is 34 ft. What is the length of the
swimming pool?
A. 22 ft
B. 25 ft
C. 30 ft
D. 38 ft
40. In the picture below, an airplane is 40 miles (air distance) from
the airport and is at an elevation of 4 miles.
What is the approximate ground distance (d) the airplane is
from the airport?
A. 20.4 mi
B. 36.0 mi
C. 39.8 mi
D. 44.0 mi
41. What is the approximate distance between points P and R?
A. 3.5 units
B. 4.0 units
C. 4.5 units
D. 5.0 units
42. On a coordinate graph, what is the length of a line segment with
endpoints at (0, 0) and (3, 4)?
A. 3 units
B. 4 units
C. 5 units
D. 7 units
43. Triangle RST has vertices at R(3, 1), S(3, 5), and T(6, 5). What is the perimeter of
triangle RST?
A. 5 units
B. 7 units
C. 12 units
D. 15 units
44. Triangle EFG has vertices at E(–3, 0), F(3, 0), and G(3, 8). What is the length of line
segment EG?
A. 8 units
B. 10 units
C. 14 units
45.
Triangle FGH has vertices F(1, –5), G(6, 0), and H(1, 0). What is the approximate perimeter of
this triangle?
A.
13.2 units
B.
17.1 units
C.
19.3 units
D.
23.5 units
46.
A cylinder has a height of 7 in. and a diameter of 6 in. What is the
approximate volume of the cylinder?
A.
B.
C.
132 in.3
198 in.3
792 in.3
47.
Trey purchased a new salt container that is shaped like a cylinder.


The new container is 4 in. tall with a radius of 2.5 in.


His old cylinder-shaped salt container was 5 in. tall with a radius of 2 in.
Which statement is true?
A.
The volume of the new container is greater by about 1 in. 3
B.
The volume of the new container is greater by about 10 in. 3
C.
The volume of the new container is greater by about 16 in. 3
D.
The volume of the new container is the same as the old container.
48.
A cylinder-shaped container is used to store water. The container has a height of 6 feet
and a diameter of 3 feet. About how much water is in the container when it is full?
A.
127 cubic feet
B.
42 cubic feet
C.
32 cubic feet
D.
14 cubic feet
49.
An ice cream cone has a radius of 2 inches and a height of 6 inches. How much ice
cream can fit inside the cone?
A.
4 in.3
B.
6 in.3
C.
25 in.3
D.
101 in.3
50.
Tom is filling a spherical beach ball with air for the pool party. The ball has a radius of 8 inches.
What is the approximate amount of air the ball will hold?
A.
33 in.3
B.
267 in.3
C.
1,608 in.3
D.
2,144 in.3