1.
Jamal, Rick, and Maria ran for sixth-grade class president. The election results are shown below
Jamal 60 votes
Rick 50 votes
Maria 40 votes
What is the ratio, in simplest form, of the number of votes Rick received to the number of votes Jamal received?
A 1:2 B 4:5 C 5:6 D 6:5
2.
Evaluate
63 + 7 x 4
A 100 B 244 C 757 D 892
3.
Paul bought a package of 6 spiral notebooks for a total cost of $13.50. Which equation represents p, the cost, in dollars, of each notebook?
A p = 13.50 – 6 B p = 13.50 x 6 C p = 13.50 + 6 D p = 13.50 ÷ 6
4.
The list below shows the temperature Jamar recorded at 11:00 p.m. for four days last
January.
Monday: - 20°F Tuesday: -13°F Wednesday: - 2°F Thursday: - 27°F
On which of the days listed did Jamar record the lowest (coldest) temperature?
A Monday B Tuesday C Wednesday D Thursday
5.
Ms. Maxey’s art classes are making beaded bracelets. The table shows the number of packages of beads needed to make different numbers of bracelets.
PACKAGES OF BEADS NEEDED
Number of Number of
Exactly how many bracelets can be made with 1 package of beads?
A 4 B 7 C 28 D 196
6.
Which pair of expressions is equivalent?
A 4(6x) and 10x B 4(6x) and 24x C 4x + 6x and 10x2 D 4x + 6x and 24x
7.
Kaia plotted a point at each of the coordinates shown below. She connected the points to make a triangle.
(-2, 3), (-2, 6), and (7, 6)
What is the length of the line segment that connects the points (-2, 6) and (7,6)?
A 12 units B 9 units C 5 units D 3 units
8.
The table below shows the height of the sea in terms of sea level in a harbor on a given day.
HEIGHT OF SEA
Time Height (feet)
1 p.m. +4.5
6 p.m. 0
11 p.m. ?
The height of the sea decreases the same amount during both 5-hour time periods. What was the height of the sea at 11 p.m.?
A -4.5 B 0 C +4.5 D +9
12.
What is the value of the expression below when c = 5 and d = 4?
6c2 – 5d + 8
A 48 B 79 C 138 D 888
13.
The length of a rectangular parking lot at the airport is ⅔ mile. If the area is
½ square mile, what is the width of the parking lot?
A ⅓ mile B ¾ mile C 1 miles D 1⅓ miles
14.
What is the area of the isosceles trapezoid shown?
A 27 cm2 B 33.8 cm2 C 40.5 cm2 D 54cm2
15.
Wyatt hiked 6 miles in 2 hours. At this same rate, what is the total number of miles Wyatt could hike in 9 hours?
A 3 B 7 C 21 D 27
16.
What is the least common multiple of 4, 10, and 127?
A 2 B 60 C 120 D 480
17.
Which expression is equivalent to 2y + 4?
A 4y + 2 B y - 2y C 2(y + 2) D 2(2y + 2)
18.
The diagram below is an unfolded box in the shape of a rectangular prism. The dimensions are given in centimeters.
What is the surface area, in square centimeters, of the rectangular prism represented by the diagram?
A 21 B 50 C 90 D 94
19.
The table below shows the number of tea bags needed to make different amounts of iced tea.
What is the total number of quarts of iced tea that can be made with 24 tea bags?
A 5 B 6 C 7 D 8
24.
A printer makes more than 3 copies of a book every hour. Which graph represents the number of books made in 4 hours?
25.
The measurements of a right rectangular prism are shown below.
What is the volume, in cubic inches, of the prism?
A 1 B C D
26.
Zach determined that the mass of his math book is 1.32 kilograms. What is the mass, in grams, of his math book?
A. 0.00132 B 0.0132 C 132 D 1,320
27.
What is the solution to the equation below?
4w =
A B C D 3
28.
Which expression has a value of 25?
A 24 + 32 B 35 + 25 C 42 + 33 D 52 + 53
29.
Which number best represents the location of point E on the number line below?
A -1.8 B -1.6 C -1.5 D -1.3
30.
Jeanette's rectangular backyard is 36 feet in length by 39 feet in width. She drew a model of the yard on a coordinate plane. Then she drew a rectangle to represent plans, for a swimming pool she wants to put in. The coordinates of the corners of the pool are shown below.
If the pool is built as planned, what is the area, in square feet, that the pool will cover?
A 180 B 225 C 270 D 405
31.
Which pair of expressions below is equivalent?
A x + y + x + y and 2(x + y) B 5(2x – 3y) and 10 x – 3y
C 4x – 5y and 5y – 4x D 9x + 2y and 11xy
35.
Which equation is true when n = 4?
A 2n = 6 B n + 3 = 7 C 9 – n = 13 D = 3
36.
What coordinates best represent the location of point K on the coordinate plane below?
A (-7, -4) B (-7, 4) C (-4, -7) D (-4, 7)
37.
In Ms. Perron's class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms. Perron's class?
A 6 B 14 C 24 D 57
38.
Paul made two patterns.
Pattern A uses the rule "Add 2."
Pattern B uses the rule "Add 4."
Which statement below is correct?
A The value in Pattern B is always 2 more than the corresponding value in Pattern A.
B The value in Pattern B is always 8 more than the corresponding value in Pattern A.
C The value in Pattern B is always 2 times the corresponding value in Pattern A.
D The value in Pattern B is always 8 times the corresponding value in Pattern A
39.
The table below shows the amount of water in gallons, w, that a sprinkler pumps in t minutes
Which equation represents the relationship between w and t?
A w = B w = t + 2 C w = 2t D w = 3t
40.
A flower garden in the shape of a trapezoid is shown below.
What is the area, rounded to the nearest tenth of a square meter, of the flower garden?
A 4.5 B 5.3 C 6.1 D 7.7
41.
Which expression is equivalent to the expression below?
8(6x - 7)
A 6x + 1 B 48x - 56 C 8(6x) -7 D 8(7 – 6x)
42.
Anita typed 390 words in 6 minutes. At that rate, how many words can she type in10 minutes?
A 65 B 234 C 650 D 1,040
46.
A box is in the shape of a right rectangular prism with a length of 8inches, a width of 3 inches, and a height of 1 inches. What is the volume, in cubic inches, of the box?
A 13 B 24 C 24 D 51
47.
The coordinates of point A are (-6, 4). The coordinates of point B are (3, 4). Which expression represents the distance, in units, between points A and B?
A │-6│ + │3│ B│3│ - │-6│ C │-6│+│-4│ D │4│-│-6│
48.
Which expression represents the phrase below?
8 less than the product of 6 and a number, x
A 8 - 6x B 6x – 8 C (6 + x) – 8 D 8 - (6 + x)
49.
Jim built a storage bin in the shape of a rectangular prism with an open top. The diagram below shows the storage bin and a net of the storage bin
What is the surface area, in square inches, of the storage bin?
A 444 B 720 C 804 D 1,512
50.
Last year the girls’ basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth-grade students to fifth-grade students on the team?
A 8:15 B 8:7 C 7:8 D 15:8
51.
Which number below is not part of the solution set of the inequality below?
n - 4 < 24
A -30 B -20 C 20 D 28
52.
What is the greatest common factor of 64 and 84?
A 2 B 4 C 6 D 8
53.
At a bake sale, Cheryl bought 7 packages of extra-large cookies for $28. Each package contained 2 cookies. What was Cheryl's price per cookie?
A $0.50 B $2.00 C $4.00 D $6.00
58.
Which value represents a number that has a distance of 4 units from 0 on a number line?
A │-4│ B √4 C 0.4 D ¼
59.
In the expression below, what number is the coefficient of y?
y2 + 3y + 4
A 0 B 2 C 3 D 4
I
60.
Olga used ½ inch cubes to fill a right rectangular prism. The dimensions of the right rectangular prism are shown in the diagram below.
What is the total number of ½ inch cubes needed to fill the prism?
A 4 B 9 C 14 D 24
61.
Point G is the point (3,-1)
Which point is 5 units from point G?
A point A B point B C point C D point D
62.
A train travels 120 miles in 1½ hours. At this rate, how many miles will the train travel
in 6 hours?
A 80 B 180 C 480 D 720
63.
Which expression is equivalent to the expression below?
g + g + g + g + g + g
A 6 + g B g6 C 6g D g/6
64.
Noah wants to make the kite shown below out of cloth.
He wants to determine how much cloth he needs. What is the area, rounded to the nearest square centimeter, of Noah’s kite?
A 531 B 1,063 C 1,430 D 2,126
65.
Ms. Mayer's class has 8 students who are 5 feet or taller. That is 25% of the total number of students in her class. What is the total number of students in Ms. Mayer's class?
A 25 B 30 C 32 D 33
69.
Sean started two patterns in the table below. Pattern A uses the rule “Add 3”.
Pattern B uses the rule "Add 9."
Complete the table.
Write a rule that can be used to determine each term in Pattern B based on its corresponding term in Pattern A.
Rule -------------------------
70.
In the diagram of a quadrilateral below, the variables represent the lengths of the sides, in inches.
Write an expression using the variables b and c that could be used to find the perimeter of the quadrilateral.
Answer ______________________________
If b = 11 and c = 16, what is the perimeter of the quadrilateral?
Show your work.
Answer _____________inches
71.
What is the greatest common factor of 45 and 18?
Show your work.
Using the greatest common factor, complete the equation below.
45 + 18 = ( + )
72.
Michael needed 4 rectangular pieces of wood with the same ratio of length to width. The table below shows the measurements of 2 pieces that he cut and 2 more he needed to finish cutting.
What is the ratio of length to width expressed in simplest form?
Show your work.
Answer _________________________
Determine the two missing measurements in the table such that the third and fourth pieces have the same ratio of length to width.
Show your work.
Answer width of third piece: _______________ inches
length of fourth piece: _________________ inches
73.
Four school groups were planning a field trip to a museum. Each group had one teacher and seven students. Ami used the expression 4(x + 7y) to determine the total admission cost for all four groups, where x is the admission cost for each teacher and y is the admission cost for each student. Write an expression, without parentheses, that is equivalent to Ami's expression.
Answer ___________________________
Museum admission is $14 for each teacher and $9 for each student. How much will the field trip cost for one group?
Show your work.
Answer ____________
74.
The area of a rectangular park is square mile. The length of the park is mile. What is the width of the park?
Show your work.
Answer ___________________mile
75
Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car travel per gallon of gas?
Show your work.
Answer: ____________miles per gallon
It cost Jodi $44.88 to buy12 gallons of gas. What was the cost per gallon of gas?
Show your work.
Answer: $ __________________
76
For the last showing of a movie, a theater sold full-price and discount tickets.
• The theater sold 130 full-price tickets for a total of $1,235.
• The total sales for both types of tickets were $2,395.
What was the cost of each full-price ticket?
Show your work.
Answer: $ ___________________
What was the income, in dollars, from the sales of discount tickets?
Show your work.
Answer: $ ________________
77.
Complete the table below to show the relationship between the lengths of the sides of equilateral triangles and their perimeters.
Create a graph by plotting the ordered pairs on the coordinate plane. Be sure to include all parts of the graph.
78.
For each job, a plumbing services company charges a one-time service fee of $50 and a $125 per hour rate for labor. Let c be the total amount the company charges, in dollars, for a job that takes h hours to complete. Write an equation that represents the relationship between c and h.
Answer: _________________________
What would the company charge for a job that takes 5 hours?
Show your work.
Answer $
If the total charge for a job was $425, how many hours did the job take?
Show your work.
Answer ___________________hours