1
1. Which expression below is equivalent to 2(2x + 1)?
A.
B.
C.
D.
E.
4x + 1
2(1 + 2x)
2(2x) + 1
2x + 1 + 2x
x+x+x+x+1
2. Jamiah’s class placed 10 empty rain gauges on the playground Monday morning. The line
plot below shows the number of inches of rainwater in each gauge after it rained Monday
afternoon.
What is the mean amount of rainwater per rain gauge, in
inches, in the 10 rain gauges?
F. ²⁵⁄₈₀
G. ⅝
H. ⁵¹⁄₈₀
J. ³⁷⁄₅₆
K. ⁵¹⁄₈
3. A company designed two rectangular maps of the same region. These maps are described
below.
Map 1: The dimensions are 8 inches by 10 inches. The scale is ¾ mile to 1 inch.
Map 2: The dimensions are 4 inches by 5 inches.
Which ratio represents the scale on Map 2?
A.
B.
C.
D.
E.
⅛mile to 1 inch
¼ mile to 1 inch
⅜mile to 1 inch
¾ mile to ½ inch
½ mile to ¾ inch
2
4. Look at the triangular prism below. Each triangular face of the prism has a base of 3
centimeters (cm) and a height of 4 cm. The length of the prism is 12 cm.
What is the volume, in cm³, of this triangular prism?
F.
G.
H.
J.
K.
432 cm³
144 cm³
112 cm³
84 cm³
72 cm³
5. Jada's mom called an electrician who charges $40 to travel to a customer's home and $55
per hour of labor completed. The electrician traveled to Jada's house and completed 4
hours of labor. What was the total amount of money the plumber charged Jada's mom?
A.
B.
C.
D.
E.
$260
$230
$200
$100
$95
6. Renee, Susan, and Martha will share the cost to rent a vacation house for a week.
● Renee will pay 40% of the cost.
● Susan will pay 0.35 of the cost.
● Martha will pay the remainder of the cost.
Part A​
​
- Martha thinks that she will pay ⅓of the cost. Is Martha correct? In your answer
document, use words, numbers, and/or pictures to justify your answer.
Part B​
​
- The cost to rent a vacation house for a week is $850. How much will Renee, Susan,
and Martha each pay to rent this house for a week? In your answer document, use
words, numbers, and/or pictures to justify your answer.
3
7. Niesha built a dollhouse, for her little sister, that is a scale model of her home. The floor
plan for the bottom floor of the dollhouse is shown below, with measurements in inches.
The rooms and hall are respresented by rectangles.
Niesha added curtains along the entire length of 1 of the shortest walls in the dining room.
To determine the length, in inches, of material she needed, she found the value of the
expression 3.6 (1.05).
Which of the following expressions is equivalent to the expression Niesha used to determine
the length, in inches, of material she needed for curtains?
A.
B.
C.
D.
E.
3.6(0.05)
3.6 + 0.05
3.6 + 5(3.6)
3.6(1 + 1.05)
3.6(1 + 0.05)
8. A store sells mattresses in different sizes. All of the mattresses have the same ratio of
length to width and are rectangular in shape.
The table below shows the measurements of 2 mattresses that are sold at this store.
Mattress 1
Mattress 2
Length
(inches)
84
72
Width (inches)
49
42
One of the following pairs of measurements, in inches, represents a third mattress sold at
this store. Which one?
4
F.
length = 35, width = 21
G.
length = 40, width = 28
H.
length = 52, width = 32
J.
length = 60, width = 35
K.
length = 65, width = 40
9. Nathan asked a random sample of 40 students from his school to identify their birth
month. There are 300 students in his school. Nathan's data is shown in this table.
Which of these statements is ​
best​
supported by the data?
A. Exactly 25% of the students in Nathan's school have April as their birth month.
B. There are no students in Nathan's school that have a February birth month.
C. There are probably more students at Nathan's school with a April birth month than a
July birth month.
D. There are probably more students at Nathan's school with a July birth month than a
June birth month.
E. There are probably more students at Nathan's school with a December birth month
than a January birth month.
10. Scientists determined that Antarctica's average winter temperature was -34.44°C. The
difference between this temperature and Antarctica's highest recorded temperature was
49.44 degrees. What was Antarctica's highest recorded temperature?
F.
83.88°C
5
G.
J.
K.
L.
15°C
-15°C
-83.88°C
-100°C
11. In the figure below, line segments BF, CE, and AD intersect at H. The measure of angle
BHC is 65°. The measure of angle CHD is 45°.
B
C
65°
H 45°
?
A
E
D
F
What is the measure of angle DHF?
A.
B.
C.
D.
E.
45°
65°
70°
80°
90°
12. Which of the following statements explains how the value of 9 + (-4) can be determined
using the number line shown below?
F.
G.
H.
J.
K.
Locate the point 9 units to the right of 0, and move 4 units to the left.
Locate the point 9 units to the right of 0, and move 4 units to the right.
Locate the point 9 units to the left of 0, and move 4 units to the right.
Locate the point 4 units to the right of 0, and move 9 units to the left.
Locate the point 4 units to the left of 0, and move 9 units to the left.
6
13. In square ACEG shown below, B, D, F, and H are the midpoints of line segments AC, CE,
EG, and AG, respectively. A student thinks that the area of ΔDEF, shown shaded, is ¼ the
area of square ACEG. In your answer document, explain why the student is NOT correct
using words, numbers, and/or pictures.
14. Ryan and Tomas walked to school and then to the park, as described below.
Ryan walked 2.3 miles from his home to meet Tomas at school.
Tomas walked 2.7 miles from his home to meet Ryan at school.
Once they were at school, the boys walked ​
x​
miles to the park and then ​
x​
miles back to the
school.
The sum of the distance Ryan walked and the distance Tomas walked was at least 15 miles
but not more than 21 miles. One of the following is the graph of the possible value of ​
x​
.
Which one?
F.
G.
H.
7
J.​
​
K.
15. Honoka calculated 55.25 divided by 5 and got the answer 11.5. Which of the following
statements is true about the answer Honoka got from her calculation?
A.
Honoka left out the 0 from the tens place.
B.
Honoka left out the 0 from the ones place.
C.
Honoka left out the 0 from the tenths place.
D.
Honoka left out the 0 from the hundredths place.
E.
Honoka's calculation is correct.
16. Luke has a fair 6-sided number cube. Each fact of the cube is labeled with a different
number from 1 to 6. Luke will roll the cube 3 times. After each roll, he will record the
number that is facing up.
What is the probability that Luke will record the number 4 for all 3 rolls of the cube?
F.
G.
H.
J.
K.
¹⁄​
₆₄₈
¹⁄₂₁₆
¹⁄₃₆
¹⁄₈
¹⁄₆
17. Amber is making cakes. The number of cups of flour she uses is proportional to the
number of cakes she makes.
Amber uses 22½ cups of flour to make 10 cakes.
Which equation represents the relationship between ​
f​
, the number of cups of flour Amber
uses, and ​
c​
, the number of cakes she makes?
A.
B.
C.
D.
E.
f​
= 10​
c
f​
= 2½​
c
f​
= 2⅓​
c
f​
= 2¼​
c
f​
=​
4​
c
9
8
18. Which of the following values is closest to the area, in square inches, of a circle with a
circumference of 68 inches?
F.
G.
H.
J.
K.
176
196
276
326
366
19. ​
Which of the following sums has the greatest value?
A.
B.
C.
D.
E.
1 + 0.8
1 + 0.8
1 + 0.88
1 + 0.888
1 + 0.8888
20. Shelly incorrectly solves the equation ½(c + 6) = 7. Her work is shown below.
In your answer document, correctly solve the equation ½(c + 6) = 7 and plot your
solution on a number line similar to the one below.
9
21. Brycen made a graph that represents the amount of money he earns, ​
y​
, for the numbers
of hours he works, ​
x​
. The graph is a straight line that passes through the origin and the
point (1,12.5).
Which statement ​
must​
be true?
A.
B.
C.
D.
E.
The slope of the graph is 1.
Brycen earns $12.50 per hour.
Brycen earns $1.00 per hour.
Brycen works 12.5 hours per day.
The y-intercept of the graph is 12.5
22. On Friday, the temperature in Denver, Colorado was -8°F at 10:00 am. By 8:00 p.m. that
day, the temperature had dropped 10°F. What was the temperature at 8:00 p.m.?
F.
G.
H.
J.
K.
10°F
2°F
-2°F
-18°F
-20°F
23. Nicole has a piggy bank that contains 16 quarters and 28 nickels. If she takes out 3
quarters and 2 nickels to buy a pack of gum, how much money will she have remaining in
her piggy bank?
A.
B.
C.
D.
E.
$1.25
$1.65
$2.55
$4.55
$16.25
24. Ricardo exercised the same amount of time each day for 5 days last week.
● His exercise included walking and swimming.
● Each day he exercised, he walked for 10 minutes.
● He exercised for a total of 225 minutes last week.
10
What is the number of minutes Ricardo swam ​
each​
of the 5 days last week?
F.
G.
H.
J.
K.
35
45
50
125
175
25. Jessica rented 1 video game and 3 movies for a total of $11.50.
● The video game cost $4.75 to rent.
● The movies cost the same amount each to rent.
What amount did Jessica pay to rent each movie?
A.
B.
C.
D.
E.
$3.00
$2.90
$2.75
$2.50
$2.25
26. In which situation could the quotient of -24 ÷ 3 be used to answer the question?
F. The temperature of a substance decreased by 24°C per minute for 3 minutes. What
was the overall change of the temperature of the substance?
G. A football team lost 24 yards on one play, then gained 3 yards on the next play. How
many total yards did the team gain on the two plays?
H. Julia withdrew a total of $24 from her bank account over 3 days. She withdrew the
same amount each day. By how much did the amount in her bank account change
each day?
J. A cookie jar contains 24 cookies. Each child receives 3 cookies. How many children are
there?
K. 24 students in a classroom divided into 3 groups to play a game at recess.
27. A store is having a sale on 3 different items. Each sign below shows the original price of an
item and how to calculate the discount for that item. In your answer document using
words, numbers, and/or pictures, calculate the ​
discount​
for all 3 items. Then order the
discounts from least amount of ​
discount​
to greatest amount of ​
discount​
.
11
28. Mrs. Allen has a total of 18 students in her class. She gave these students a quiz with 7
questions. After the students completed the quiz, Mrs. Allen created a line plot, shown
below, of how many questions each student answered correctly.
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
0
1
2
3
4
5
6
7
To the nearest percent, what percent of Mrs. Allen's students answered more than ½ of
the questions correctly?
F.
G.
H.
J.
11%
22%
39%
61%
K. 78%
29. George's weekly pay rate is $455 per week. He receives a 20% raise. How can George
calculate his new weekly wage rate?
A. Solve for x: 4
​55​
= ​
20
x 100
B.
C.
D.
E.
Multiply $455 by 0.20
Multiply $455 by 1.20
Divide $455 by 0.20
Divide $455 by 1.20
30. The tires Jazmine wants to buy for her car cost $200 per tire. A store is offering the
following deal:
Buy 3 tires and get the 4th tire for 75% off!
Jazmine will buy 4 tires using the deal. The sales tax is 8%. How much money will Jazmine
save by using the deal versus paying the full price for all 4 tires?
F.
G.
H.
J.
$150
$162
$185
$200
12
K. $216
31. In which of these situations would the answer to the question be 0?
A. Angelica jumped into a pool from a diving board 8 feet above the water. He sank 8 feet
and then swam straight up to the surface of the water. How many feet did Teddy swim?
B. Jerry left his house and walked 1.5 miles directly west. Then he walked 1.5 miles directly
east. At this point, how many miles was Jerry from his house?
C. A trail begins at an elevation of -50 feet. The trail ends at an elevation of 50 feet. By how
many feet does the elevation of the trail change from beginning to end?
D. The low temperature one day was -3°C. The high temperature that day was 3°C. What is
the difference between the low temperature and the high temperature that day?
E. The high temperature one day was 5°C. The low temperature that day was -5°C. What is
the difference between the high temperature and the low temperature that day?
32. Hasan designs a computer simulation with 25 trials and uses the data from the simulation
to create a graph. The graph shows the relative frequency of the number of spins in his
simulation to land on each color once. Using the graph, what is the probability that a player
lands on each color once in less than 7 spins?
Hasan's Simulation Results
​
F.
G.
H.
J.
0.36
0.48
0.64
0.81
13
K. 0.85
33. Reagan will use a random number generator 1,200 times. Each result will be a digit from 1
to 6. Which statement ​
best​
predicts how many times the digit 5 will appear among the
1,200 results?
A.
B.
C.
D.
E.
It will appear exactly 240 times.
It will appear close to 240 times but probably not exactly 240 times.
It will appear close to 220 times but probably not exactly 220 times
It will appear exactly 200 times.
It will appear close to 200 times but probably not exactly 200 times.
34. Carrie's basketball team has played 5 games. The number of points Carrie scored in each
game is shown in the bar graph.
Determine possible point totals for games 6 and 7 so that the range of the data set
increases, but the mean and median stay the same. Show your work and solution in your
answer document using numbers, words, and/or pictures.
14
35. A store is having a sale. Each customer receives either a 15% discount on purchases under
$100 or a 20% discount on purchases of $100 or more. Juan is purchasing some clothes for
$96.60 before the discount. He decides to buy the fewest packs of gum that will increase
his purchase to over $100. The price of each pack of gum is $0.79.
After the discount, how much less will Juan pay by purchasing the clothes and the gum
instead of purchasing only the clothes? (Assume there is no sales tax to consider.)
A.
B.
C.
D.
E.
$0.79
$1.05
$1.67
$3.69
$3.87
36.​​
Alexis chose a random sample of 10 jars of almonds from each of two different brands, X
and Y. Each jar in the sample was the same size. She counted the number of almonds in
each jar. Her results are shown in the plots.
15
Based on the plots, which statement ​
best​
compares the number of almonds in the jars
from the two brands?
F. The number of almonds in jars from Brand X tends to be fewer and more consistent
than those from Brand Y.
G. The number of almonds in jars from Brand X tends to be fewer and less consistent than
those from Brand Y.
H. The number of almonds in jars from Brand X tends to be greater and more consistent
than those from Brand Y.
J. The number of almonds in jars from Brand X tends to be greater and less consistent
than those from Brand Y.
K. The number of almonds in jars from Brand Y tends to be fewer and less consistent than
those from Brand X.
37.​​
This figure shows two shaded regions and a non-shaded region. Angles in the figure that
appear to be right angles are right angles. What is the area, in square inches, of the
triangular-shaped region that is shaded in this figure?
A.
B.
C.
D.
E.
4
6
8
10
40
16
38.​​
Mr. Horres wants to know how some student athletes are improving in the number of
push-ups they can do.
These dot plots show the number of push-ups each student was able to do last month and
this month.
What is the increase in the mean number of push-ups from last month to this month?
F.
G.
H.
J.
K.
7
7.5
8
8.5
9
39.​​
A corner shelf is ¼ of a circle and has a radius of 10.5 inches.
Using 3.14 as π , find the area of the shelf, in square inches. Round your answer to the
nearest hundredth.
A.
B.
C.
D.
346.19
110.25
90.25
86.55
17
E. 76.55
40. Jamarcus buys a wooden board that is 7½ feet long. The cost of the wooden board is $0.50
per foot, including tax. What is the total cost, in dollars, of the wooden board.
F.
G.
H.
J.
K.
$7.50
$6.75
$5.50
$4.25
$3.75
41.​​
Which number line model represents the sum of 1½ + (-½)?
E. None of the above
18