Download Review for Ch. 5 and Ch 6

Name: ________________________ Class: ___________________ Date: __________
ID: A
Review for Ch. 5 and Ch 6
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____
____
1. Find the mean, median, and mode of this data: 49, 57, 49, 57, 49, 51, 54. If necessary, round to the nearest
tenth.
a. 51, 51.3, 49
b. 52.3, 51, 49
c. 52.3, 52, 49
d. 51.3, 51, 49
2. The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These
are the data: 20, 9, 8, 17, 19, 16, 13, 14, 8. Find the mean, median, and mode of the data. If necessary, round
to the nearest tenth.
a. 14, 11.8, 8
b. 11.8, 14, 8
c. 13.8, 8, 14
d. 13.8, 14, 8
How many modes, if any, does the group of data have?
____
____
____
____
____
____
____
3. Kate, Tim, John, John, Angela, Tim, Sue
a. 1 mode
b. 2 modes
c. 3 modes
d. no mode
4. 20, 5, 22, 2, 20, 2, 2, 22
a. 3 modes
b. 2 modes
c. no mode
d. 1 mode
5. Which pair of numbers, when included with 6, 8, 10, 14, and 18, will raise the value of BOTH the mean and
median?
a. 14 and 15
b. 1 and 10
c. 7 and 15
d. 8 and 14
6. A teacher allows her students to decide whether to use the mean, median, or mode to determine their test
averages. One student determined that he will receive the highest average if he uses the mean. Which test
scores are his?
a. 92, 83, 76, 76, 93
c. 81, 85, 70, 72, 85
b. 81, 85, 73, 82, 76
d. 72, 83, 95, 70, 85
7. Find the outlier in the data: 32, 40, 34, 31, 20, 36, 40, 31. How does the outlier affect the mean?
a. 45; raises it by 1.7.
c. 45; lowers it by 1.7.
b. 20; lowers it by 1.9.
d. 20; raises it by 1.9.
8. What is the best measure of central tendency for the data? What answer do you get using this measure?
Jessica Jennifer Janice Janine Jessica Jolene Jana
a. mode; Jessica
c. mean; Jessica
b. median; Jana
d. mode; Janice
9. Which measure of central tendency best describes this situation: the favorite fruit sold in the cafeteria?
Explain.
a. Median; there likely are no outliers.
b. Mean; there likely are no outliers.
c. Median; there likely are outliers.
d. Mode; the data are not numerical.
1
Name: ________________________
ID: A
____ 10. Use the frequency table to determine how many students received a score of 80 or better on an English exam.
Score
50–59
60–69
70–79
80–89
90–100
Frequency
4
5
9
6
2
a. 24 students
b. 6 students
c. 2 students
d. 8 students
____ 11. Find the range of the data.
Scores: 90, 89, 87, 79, 89, 84, 80, 85, 85, 79
a. 11
b. 7
c. 12
d. 15
____ 12. The graph below shows the market shares of various juice companies that sell orange juice. What values are
represented by the break symbol?
a. 0% to 5.9%
b. 2% to 8%
c. 5% to 9%
d. 0% to 3%
____ 13. The following graph shows the number of customers who purchased something from a store in May and
June. How could you redraw the graph so that the change in customers between the two months does not
seem so great?
a. Start the vertical scale at 280 and use intervals of 0.5.
b. Start the vertical scale at 0 and use a greater scale interval.
c. Start the vertical scale at 400 and use a greater scale interval.
d. none of these
____ 14. What type of graph uses lines to connect a series of points?
a. circle graph
c. line graph
b. line plot
d. bar graph
2
Name: ________________________
ID: A
____ 15. The electric company sent out a graph to compare electricity usage in kilowatt-hours for the years 2002 and
2003. The graph shows the usage for a particular household for two years.
During which month was the difference between the kilowatt-hours greatest?
a. April
b. August
c. September
d. March
____ 16. Mr. Collins’s class wanted to compare the quantities of apples and bananas sold at the school cafeteria for 3
weeks. The double bar graph shows the results of their survey. For Week 2, how many more pounds of apples
were sold than bananas?
Pounds of Apples and Bananas Sold at the Cafeteria
Pounds
Apples
25
Bananas
20
15
10
5
Week 1
a.
b.
15
10
Week 2
Week 3
c.
d.
3
5
none of the above
Name: ________________________
ID: A
____ 17. The double bar graph below compares the numbers of fiction and nonfiction books at three different
elementary school libraries. What is the difference between the numbers of fiction and nonfiction books in
the P.S. 17 school library, according to the graph?
a. 80
b. 20
c. 60
d. 4
____ 18. Which of the following types of information is not suited for display on a double bar graph?
a. populations of boys and girls at three different schools
b. number of records versus compact discs sold each week during a one-month period at
The Music Den
c. the weekly interest rate for mortgages at a bank for the past year
d. numbers of hot and cold lunches sold each day in the school cafeteria during the first
week of school
____ 19. Which of the following types of information is suited for display on a double line graph?
a. annual changes in Melody’s height and weight from 5 to 10 years old
b. number of Democrats and Republicans in the Senate during the past decade
c. monthly sales of two different types of cars during a one-year period
d. all of these answers
____ 20. Katalin, Carrie, and Devon are 11, 12, and 13 years old. Devon is not the youngest. The 12-year-old is
Carrie’s cousin. Katalin is younger than Carrie. How old is each person?
a. Katalin, 11; Devon, 12; Carrie, 13
c. Devon, 11; Katalin, 12; Carrie, 13
b. Carrie, 11; Katalin, 12; Devon, 13
d. Katalin, 11; Carrie, 12; Devon, 13
Solve the problem by making an organized list.
____ 21. Jennifer has a geography book, an English book, and a math book for school. In how many different orders
can Jennifer arrange these books on a book shelf?
a. 2 orders
b. 3 orders
c. 6 orders
d. 1 order
____ 22. A clothing manufacturer offers 2 different styles of jeans, relaxed fit and regular fit, in 5 different colors.
How many combinations of style and color are available from this manufacturer?
a. 8 combinations
c. 7 combinations
b. 4 combinations
d. 10 combinations
4
Name: ________________________
ID: A
____ 23. A college has 8 instructors qualified to teach a special computer lab course that requires two instructors to be
present. How many different pairs of teachers could there be?
a. 31 pairs
b. 26 pairs
c. 28 pairs
d. 29 pairs
Use the diagram.
____ 24. Identify a segment skew to AD.
a. HG
b. BE
c.
DC
d.
EF
____ 25. Identify a segment intersecting AH .
a. EF
b. BC
c.
GF
d.
AB
d.
straight
Classify the angle as acute, right, obtuse, or straight.
____ 26. The measure of angle A is 74°.
a. right
b. acute
____ 27.
c.
obtuse
A
a. straight
b. acute
c. right
d. obtuse
____ 28. Find the measures of the complement and the supplement of an angle with measure 19°.
a. complement, 199°; supplement, 109°
b. complement, 161°; supplement, 71°
c. complement, 71°; supplement, 161°
d. complement, 109°; supplement, 199°
____ 29. Name the angle that is supplementary to ∠COD.
C
B
A
D
F
a.
∠BOF
O
b.
∠AOD
c.
5
∠BOC
d.
∠AOC
Name: ________________________
ID: A
____ 30. Find the value of x in the figure.
90 o
x
43 o
a. 133°
b. 47°
____ 31. Name a pair of vertical angles.
c.
223°
c.
d.
∠AOB and ∠COD
∠BOC and ∠COD
d.
137°
C
B
A
D
O
F
a. ∠AOF and ∠COD
b. ∠AOB and ∠DOB
____ 32. Which angle is an interior angle?
1
4
5
8
2
3
6
7
a. ∠7
b. ∠6
c. ∠1
d. ∠2
____ 33. Marci measured an angle in the intersection of two walkways in a city park as 105°. What is the value of s?
105
t
a.
195°
s
o
y
b.
210°
c.
6
75°
d.
105°
Name: ________________________
ID: A
____ 34. What is the value of e?
119 o
e
d
c
a. 209°
b. 61°
c. 119°
d. 299°
____ 35. Classify the triangle with angles with measures 90°, 49°, and 41° as acute, right, or obtuse.
a. acute
b. right
c. obtuse
____ 36. Find the value of x in the triangle.
x
52°
Not drawn to scale
a. 38°
b. 142°
c. 128°
d. 232°
____ 37. Write all the possible names for the quadrilateral. Then give the best name.
a. quadrilateral, parallelogram; parallelogram
b. quadrilateral, parallelogram, rhombus; rhombus
c. quadrilateral, trapezoid; trapezoid
d. quadrilateral, parallelogram, trapezoid; trapezoid
____ 38. What is the best name of the quadrilateral that has 4 congruent sides?
a. parallelogram
b. rhombus
c. trapezoid
d.
rectangle
Solve the problem by using logical reasoning.
____ 39. Marisa, Jon, and Janet are all related. They are 13, 18, and 20 years old, but not necessarily in that order.
Janet is not the oldest. The 13-year old is Jon’s cousin. Marisa is older than Jon. How old is each person?
a. Janet is 20, Jon is 18, and Marisa is 13.
b. Janet is 13, Jon is 18, and Marisa is 20.
c. Janet is 20, Jon is 13, and Marisa is 18.
d. Janet is 18, Jon is 13, and Marisa is 20.
7
Name: ________________________
ID: A
____ 40. In which figure is the dashed line a line of symmetry?
b.
c.
a.
d.
____ 41. How many of the following numerals have line symmetry?
a. 0
b. 2
____ 42. Which names describe the line?
D
K
C F
←

→
c.
1


→
A
C
O
∠AOB and ∠BOC
∠COD and ∠DOE
d.
KG
d.
points


→
E
a.
b.
3
G
a. FC
b. DG
c. CG
____ 43. The floors in an apartment building belong to different ____.
a. rays
b. segments
c. planes
____ 44. Name two angles adjacent to ∠AOC .
B
d.
D
c.
d.
8
∠COD and ∠AOE
∠DOE and ∠BOC
Name: ________________________
←

→
ID: A
←
→
____ 45. In the figure, AB Ä CD . Find the measure of ∠GEB.
B
D
50 o
E
G
A
C
a. 40°
b. 110°
c. 50°
d. 90°
____ 46. The school band was scheduled to march in the annual parade, but the band’s starting point was changed the
day before the parade. The band director calls three band members. Each band member calls three other band
members. Then these band members each call three members. How many band members, including the band
director, are notified of the new starting point?
a. 12 members
b. 13 members
c. 20 members
d. 40 members
____ 47. Draw a rectangle that is 4 centimeters by 8 centimeters. Connect two opposite vertices to form two triangles
of the same size and shape within the rectangle. Classify the triangles by sides and angles.
a. scalene, right
c. isosceles, right
b. scalene, acute
d. isosceles, acute
____ 48. Name two streets that form adjacent angles with McAllister.
a.
b.
Market and Jones
Golden Gate and Market
c.
d.
9
7th and Golden Gate
7th and Madison
Name: ________________________
____ 49.
ID: A
Identify the pair of angles as corresponding, alternate interior, both, or neither.
1
8
7
l
2
5
4
3 6
m
∠8, ∠1
a. alternate interior
c. both
b. neither
d. corresponding
____ 50. How many pairs of corresponding angles are formed by a transversal intersecting two lines?
a. 8
b. 4
c. 2
d. 6
____ 51. In the diagram, p || q. Find the measure of each numbered angle.
7
150°
1 3
p
4
2
5
6
q
Not drawn to scale
a.
m∠1 = m∠2 = m∠5 = 150º
c. m∠1 = m∠2 = m∠5 = 150º
m∠3 = m∠4 = m∠6 = m∠7 = 25º
m∠3 = m∠4 = m∠6 = m∠7 =30º
d. m∠1 = m∠2 = m∠5 = 30º
b. m∠1 = m∠2 = m∠5 = 140º
m∠3 = m∠4 = m∠6 = m∠7 = 30º
m∠3 = m∠4 = m∠6 = m∠7 = 150º
____ 52. If a and b are parallel lines and m∠4 = 36º, what is the measure of ∠5?
c
a
b
1
2
3
4
5
6
7
8
Not drawn to scale
a. 42º
b. 39º
c. 36º
d. 32º
____ 53. Classify the triangle with side lengths 4, 4, and 4.
a. right
b. equilateral
c. scalene
d. isosceles
____ 54. Classify the triangle with angles measuring 69º, 42º, and 69º.
a. right
b. equilateral
c. isosceles acute
d. isosceles obtuse
____ 55. Find the sum of the measures of the interior angles of a nonagon.
a. 1,620°
b. 1,440°
c. 1,080°
d. 1,260°
____ 56. Find the sum of the measures of the interior angles of a polygon with 12 sides.
a. 1,620°
b. 2,160°
c. 1,980°
d. 1,800°
10
Name: ________________________
ID: A
____ 57. Find the missing angle measure in the figure.
Nor drawn to scale
a. 126°
b. 122°
c. 105°
d. 133°
____ 58. Find the measure of each angle of a regular polygon with 7 sides.
b. 206°
c. 135°
d. 129°
a. 180°
____ 59. A porthole on a ship has a regular hexagon placed in a circular frame. What is the measure of each interior
angle?
a. 60º
b. 120º
c. 720º
d. 90º
____ 60. For a regular pentagon, find the sum of the measures of the angles. Then find the measure of each angle. If
necessary, round your answer to the nearest degree.
a. 720°; 140°
b. 540°; 270°
c. 360°; 120°
d. 540°; 108°
Short Answer
61. Make a frequency table to show the following test times (in minutes) for a reading test.
81, 63, 61, 58, 72, 70, 79, 68, 82, 64, 54, 82, 72, 63, 64, 76, 57, 65, 73, 58
62. The top four scorers on a soccer team were Chris, Sean, Mia, and Erika. Each scored a different number of
goals. Mia scored one more goal than Erika. Chris scored half as many goals as Sean. Erika scored more
goals than Chris but fewer than Sean. Organize this information in a logic table. Use the table to order these
teammates from highest to lowest scorer.
63. Martha’s class is having a “Read-A-Thon” to raise money for a local charity. During the past month, Martha
has read five more books than Theresa. Dan has read one book fewer than Martha, but half as many books as
Scott. Eric has read one more book than Theresa, and Theresa has read 2 books.
a. How many books did each student read?
b. What is the mean number of books read by these students?
11
Name: ________________________
ID: A
64. Rolinda’s first five Spanish test scores are 85, 85, 61, 63, and 55.
a. Find the mean, the median, and the mode of Rolinda’s Spanish test scores. Round your answers to the
nearest tenth, if necessary.
b. Which of these measures best supports Rolinda’s claim that she is doing well in her Spanish class?
c. Why is Rolinda’s claim misleading?
65. Maria has the following scores on exams in her social studies class: 87, 77, 95, 59, 92, and 59.
a. Find the mean, median, and mode of the scores.
b. Should Maria’s social studies teacher use the mean, median, or mode of the exam scores to convince
Maria that she needs to study more regularly for her exams?
For the next two problems, use the data in the table to make a line or bar graph.
66.
Shelter Animals Adopted at
Monthly Adoption Clinics
Month
Number of Animals
January
16
February
27
March
18
April
22
May
29
67. Tides for late morning and early afternoon:
Time
Height (feet)
10. A.M.
0.6
11 A.M.
1.0
Noon
1.2
1 P.M.
1.3
68. Use the diagram below.
L
K
M
N
a.
b.
c.
Name 3 noncollinear points.
Name 3 collinear points.
Name 2 rays.
12
2 P.M.
1.1
Name: ________________________
ID: A
69.
a.
b.
Write all the possible names for the quadrilateral above.
What is its most descriptive name?
70. Is the dashed line in the figure a line of symmetry? Explain.
71. Draw two parallel segments. Then draw a line that intersects the parallel segments.
Find the measure of each numbered angle.
72.
Not drawn to scale
73. Two angles are complementary. One angle measures x degrees and the other measures y degrees.
a. Write an equation expressing these angles as complementary.
b. Solve the equation for y if x° = 44°.
Other
74. Define three measures of central tendency.
13
Name: ________________________
ID: A
75. Explain the difference between complementary and supplementary angles.
76. Does a right angle have a complement? Explain your answer.
Essay
77. Beth scored 17 points, 15 points, 16 points, and 23 points in the first four games of the basketball season.
How many points must she score in her next game to average 18 points per game for the first 5 games? Show
your work.
78. What are adjacent angles? Include a diagram.
79. What are vertical angles? Include a diagram.
80. Home plate on a baseball field is shaped like a pentagon with three right angles. The remaining two angles
are congruent. Sketch home plate and give the measure of each interior angle. Explain how you arrived at
your answer.
14
ID: A
Review for Ch. 5 and Ch 6
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
B
D
B
A
A
A
B
A
D
D
A
A
B
C
B
A
A
C
D
A
C
D
C
B
D
B
D
C
D
B
A
B
D
B
B
A
C
B
B
1
ID: A
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
D
B
A
C
C
C
D
A
A
B
B
C
C
B
C
D
D
D
D
B
D
SHORT ANSWER
61.
62. Tables may vary. Sean scored the most goals, then Mia, Erika, and Chris.
63. a. Theresa, 2 books; Eric, 3 books; Dan, 6 books; Martha, 7 books; Scott, 12 books
b. 6 books
64. a. mean: 69.8; median: 63; mode: 85
b. the mode
c. The mode does not account for the lower test scores that Rolinda got on her last three tests. Her grades are
declining.
65. a. mean: about 78; median: 82; mode: 59
b. mode
2
ID: A
66.
Number of Animals
35
Shelter Animals Adopted
at Monthly Adoption Clinics
30
25
20
15
10
5
0
Jan
Feb Mar
Month
Apr May
67.
Tide
1.4
Height (ft)
1.2
1
0.8
0.6
0.4
0.2
0
10 A.M. 11 A.M
Noon 1 P.M. 2 P.M
68.
a.
b.
Answers may vary. Sample: K, O, M
K, O, N
c.
Answers may vary. Sample: NK , OM


→ 
→
69.
a. quadrilateral, parallelogram, rectangle, rhombus, square
b. square
70. No, it is not a line of symmetry. If the figure is folded along the line, the two parts do not match.
71. Answers may vary. Sample:
C
D
A
B
72. m∠1 = 60º, m∠2 = 30º, m∠3 = 150º
3
ID: A
73.
a.
b.
x° + y° = 90°
46º
OTHER
74. The mean is the sum of the data divided by the number of items. The median is the midpoint of the data when
arranged in numerical order. The mode is the item that occurs most frequently.
75. The sum of the measures of complementary angles equals 90º. The sum of the measures of supplementary
angles is 180º.
76. No; a right angle has a measure of 90º, and the sum of the measures of complementary angles is 90º.
ESSAY
77.
[4]
[3]
[2]
[1]
Let x = Beth’s score in game 5.
17 + 15 + 16 + 23 + x
18 =
5
71 + x
18 =
5
71 + x
⋅5
18 ⋅ 5 =
5
90 = 71 + x
90 − 71 = 71 + x − 71
19 = x
Beth must score 19 points.
one minor error
two minor errors
correct answer without work shown
78.
[4]
[3]
[2]
[1]
correct definition and diagram
correct definition but no diagram
correct diagram but incorrect definition
partially correct definition or diagram
[4]
[3]
[2]
[1]
correct definition and diagram
correct definition but no diagram
correct diagram but incorrect definition
partially correct definition or diagram
79.
4
ID: A
80.
[4] Correct sketch of home plate. The measures of the angles are 90º, 90º, 90º, 135º, 135º.
The sum of the measures of the angles using the Polygon Angle Sum formula,
(5 − 2)180°, is 540º. Since three angles equal 90º each, for a total of 270º, subtract 270°
from 540° to get 270°. This is the total measure of two congruent angles. Since the
angles have the same measure, divide 270° by 2. The measure of each congruent angle
is 135º.
[3] correct sketch and angle measures but no explanation OR correct angle measures and
explanation but no sketch
[2] correct sketch and appropriate methods but incorrect angle measures
[1] correct angle measures but no explanation or sketch
5