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6th Grade Math

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Consider the following sequence of figures.
nar001-1.jpg
 

 1 

If the pattern is continued, how many squares will be needed to make the fifth figure?
A
13 squares
C
16 squares
B
10 squares
D
7 squares
 

 2 

If the function table is extended, what will the value of y be when mc002-1.jpg.
x
y
0
–1
1
4
2
9
3
14
4
19
5
 
6
 
7
?
A
34
C
29
B
24
D
39
 

 3 

If the volleyball team washes 11 more cars, then they will have met their overall goal of washing 70 cars to raise money for their season. Let c represent the number of cars that the volleyball team has washed so far. Which of the following equations can be used to solve for c?
A
mc003-3.jpg
C
mc003-5.jpg
B
mc003-4.jpg
D
mc003-6.jpg
 

 4 

Monica wants to draw a line graph showing the daily zoo admissions over the past several weeks. Which of the following labels would be most appropriate for the vertical axis of the graph?
A
Time (months)
C
Number of People
B
Time (weeks)
D
Zoo Attendance Figures
 

 5 

Linda is creating a circle graph to help her budget her monthly expenses. She figures that out of every $100 in monthly expenses, she spends $23 on utilities. Which of the following labels is most appropriate for this section of the circle graph?
A
Monthly Expenses
C
Utilities, 23%
B
Linda’s Budget, 23%
D
Utilities, 11.5%
 

 6 

George’s suitcase contains 3 pairs of pants, 3 shirts, and 2 pairs of shoes. How many different outfits can he wear?
mc006-1.jpg
A
8 outfits
C
18 outfits
B
9 outfits
D
16 outfits
 

 7 

Typically, 60% of the customers who purchase a lift ticket at a local ski resort also rent skis. Does the number of ski rentals shown in the table agree with this statement for the given number of lift tickets sold? If not, state how many more or fewer ski rentals there should have been for a typical day.
mc007-1.jpg
Northwest Slopes
Lift Tickets Sold
Ski Rentals
320
205
A
Yes, 60% of the customers who bought a lift ticket also rented skis.
B
No, 13 more customers rented skis than would have on a typical day.
C
No, 18 fewer customers rented skis than would have on a typical day.
D
No, 10 more customers rented skis than would have on a typical day.
 

 8 

Amber is one of 4 employees in an accounting department. If each employee is equally likely to be chosen to perform an offsite audit, what is the probability that Amber will NOT be chosen?
A
mc008-3.jpg
C
mc008-5.jpg
B
mc008-4.jpg
D
mc008-6.jpg
 

 9 

The table shows the number of incorrect answers given by nine students on a standardized test. Which of the following measures would make the number of missed questions appear as small as possible?
Student ID
Missed Questions
1
8
2
6
3
2
4
5
5
12
6
9
7
22
8
12
9
17
A
mean
C
median
B
range
D
mode
 
 
The Reliant Storage Company uses the following bar graph in their brochures to compare the volume of their sheds to the volume of a competitor’s shed.
Storage Shed Comparison
nar002-1.jpg
 

 10 

Which of the following statements describes what is most misleading about the bar graph?
A
The vertical axis showing the volume of the sheds does not begin at 0.
B
The labels on the horizontal axis are not accurate.
C
The graph does not mention the kinds of materials used to build each shed.
D
The scale of the horizontal axis is not shown.
 

 11 

The members of the Mappets Geography Club decided that each of them should write a report about what they have learned from being in the club. One of the more mathematically inclined members decided to count how many words were in each report. One of the reports she counted had 58 words. She created the following stem-and-leaf plot.
Report Analysis
Stem
Leaf
2
4 5 5
3
1 1 1 1 1 
4
4 6 7 7 7 7 8 8 
5
4 5 7 8 8 8 8  
6
1 2 4 4 4 5 5  
7
1 2       
8
2 6  
 
?
Which of the following is a possible key to this data that should be written in the bottom row of the plot?
A
mc011-3.jpg sentences
C
mc011-5.jpg words
B
mc011-4.jpg sentences
D
mc011-6.jpg words
 

 12 

The daily highs for the last 5 days are given in the line graph below. Find the mean temperature for this period. Give your answer in degrees.
Daily Highs
mc012-1.jpg
mc012-2.jpg
A
69.6°F
C
71°F
B
69.1°F
D
64.6°F
 

 13 

Marta is watching the progress of two different stocks over a period of 5 months. Based on the data below, which of the following might you predict will happen?
Stock Progress
 
mc013-1.jpgmc013-2.jpg
A
In the future¸ the first stock will rise and the second stock will fall.
B
The value of the first stock will continue to rise.
C
The value of the second stock will continue to fall.
D
There is no visible pattern.
 

 14 

Triangle XYZ has been reflected across the line shown to create Triangle LMN. If mc014-1.jpg, mc014-2.jpg, and mc014-3.jpg, what is the length of mc014-4.jpg?
mc014-5.jpg
A
9.2 units
C
8.9 units
B
6.9 units
D
3.6 units
 

 15 

The line in the figure below intersects a parallelogram to form an angle of 65°. What is the measure, in degrees, of mc015-1.jpg?
mc015-2.jpg
A
80°
C
115°
B
75°
D
65°
 

 16 

How many units has the triangle been translated up to create the dashed triangle?
mc016-1.jpg
A
2 units
C
6 units
B
3 units
D
5 units
 

 17 

Opposing faces of a die always add up to 7. This means if three is showing on the top face of the die, then four is displayed on the bottom face of the die. Tansy is playing Hidden Totals. She rolls the five dice and she gets:
mc017-1.jpg
mc017-2.jpgmc017-3.jpgmc017-4.jpgmc017-5.jpg
Face down on the plane that is the table, what is the sum of the dice?
A
17
C
16
B
18
D
19
 

 18 

Norman cut off the bottom right corner of a piece of paper.
mc018-1.jpg
Norman then flips the paper over horizontally (left to right). Which of the four positions below is his paper in now?
Position 1
Position 2
Position 3
Position 4
mc018-2.jpgmc018-3.jpgmc018-4.jpgmc018-5.jpg
A
Position 1
C
Position 3
B
Position 4
D
Position 2
 

 19 

Linette makes a 2-dimensional representation of a spool of thread. The height of the spool is 15 inches. The middle part of the spool where the thread is wound is square with side being 8 inches. The top and the bottom of the spool are congruent regular trapezoids. What is the height of the top of the spool?
mc019-1.jpg
A
3.5 inches
C
0.5 inches
B
7 inches
D
2.5 inches
 

 20 

A home remodeling contractor needs to cut a piece of baseboard to be 102 inches long. How many feet long is the baseboard?
A
10 feet
C
6.8 feet
B
8.5 feet
D
1,224 feet
 

 21 

If an employee correctly answers 30 out of 40 questions on a safety certification test, between which two percents does the employee’s score lie?
A
between 60% and 70%
C
between 70% and 80%
B
between 50% and 60%
D
between 80% and 90%
 

 22 

The lab study in Mrs. Piedro's chemistry class this morning requires 80 milliliters of a 25% hydrochloric acid solution. What portion of the solution is comprised of hydrochloric acid? Express your answer as a decimal.
mc022-1.jpg
A
0.8
C
0.2
B
0.75
D
0.25
 

 23 

What is the value of the following expression?
mc023-1.jpg
A
66
C
9
B
18
D
216
 

 24 

Jerry is opening a savings account that pays simple interest at a rate of 5% annually. How much interest will he earn after 6 years if the principal deposit is $1,100? Recall that the simple interest formula is I = prt, where I is the amount of interest, p is the principal, r is the interest rate, and t is the length of time in years.
A
$1,430
C
$330
B
$55
D
$290
 

 25 

The box holding the instruments for science class is square. The box measures 18 inches by 18 inches and is 3 inches deep. This means that the volume of the box is “18 times 18 times 3” cubic inches. Which of the following formulas is an equivalent expression for “18 times 18 times 3”?
mc025-1.jpg
A
mc025-3.jpg
C
mc025-5.jpg
B
mc025-4.jpg
D
mc025-6.jpg
 

 26 

Belinda is going shopping. She starts out with $43 and buys three items. She buys a book for $6, a shirt for $17 and a sandwich for $2. She calculates the money she now has using the formula: mc026-1.jpg Which of the following expressions is also correct?
A
mc026-4.jpg
C
mc026-6.jpg
B
mc026-5.jpg
D
mc026-7.jpg
 

 27 

Find the value of the expression: mc027-1.jpg.
A
30
C
31
B
57
D
211
 

 28 

Wei-Ling, James, Megan, and Sabrina went to the store together. Each had $20.00 to spend. Wei-Ling spent $11.50, James spent $5.50, Megan spent $6.00, and Sabrina spent $14.50. Who spent the least money at the store?
A
Wei-Ling
C
James
B
Sabrina
D
Megan
 
 
The following table depicts the historical extreme temperatures for several states according to information from the U.S. National Climate Data Center.
Historical Extreme Temperatures
State
January
Minimum
Temperature
January
Maximum
Temperature
July
Minimum
Temperature
July
Maximum
Temperature
Michigan
–48
72
20
112
Oregon
–52
82
14
119
Idaho
–60
70
15
118
New Mexico
–47
89
19
116
Source: NCDC Temperature Extremes and Drought
 

 29 

According to the Historical Extreme Temperatures table, what is the coolest recorded July minimum temperature?
A
14
C
112
B
20
D
–60
 

 30 

Liana and her mom went to a dog show. Liana told her mom that mc030-1.jpg of the dogs were spotted, because she counted 6 spotted dogs out of 12 dogs. What percent of the dogs were spotted?
mc030-2.jpg
A
25%
C
50%
B
12%
D
6%
 



 
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