Math: Unit 6 Study Guide
1. Is 968 divisible by 2? by 3? by 4? by 5? by 6? by 9? by 10?
2. Round 23,689 to the nearest hundred.
3. Round 17.93 to the nearest tenth.
4. Round 350.82 to the nearest whole number.
5. Write
2
as a decimal and as a percent.
10
6. Change 7
1
to an improper fraction.
2
7. Which is the definition for the median of a data set?
[A] smallest value
[B] most frequent value
[C] largest value
[D] middle value
8. Which is the definition for the maximum of a data set?
[A] largest value
[B] most frequent value
[C] smallest value
[D] middle value
9. Which is the definition for the mode of a data set?
[A] largest value
[B] smallest value
[C] middle value
[D] most frequent value
10. Which is the definition for the minimum of a data set?
[A] middle value
[B] smallest value
[C] largest value
[D] most frequent value
11. Cathy asked 5 girls in her fifth grade class how many CDs each owned. The results of her
survey are shown below.
4, 1, 6, 2, 2
a. What was the median number of CDs owned? _______
b. Cathy concluded, “The typical fifth grade student owns about 2 CDs.” Do you agree with her
conclusion? Explain.
c. Describe two ways Cathy could improve her survey.
Solve.
12.
1 16
+ =
19 19
13.
11 5
−
=
17 17
14. 2 −
1
=
4
Solve.
15.
3 1
+ =
4 10
16.
4 1
− =
7 2
17.
1
5
4
+
15
18.
19.
6
7
5
−
9
2
4
4
+
7
20. a. Which fraction pair is represented in the drawing below?
2
4
and
5
15
4
8
and
5
15
2
5
and
3
12
1
1
and
2
3
b. Write a pair of fractions with common denominators for the figures in part (a) above.
21. Ross was writing a report on the activities of school students. To start, he gave a survey to 10
students in his class. The following were three of the questions:
A. How many hours do you sleep each night?
B. How many hours do you study after school each day?
C. How many movies do you see in a year?
The graphs below show the answers to two of these questions.
Graph I
x
x x
x x x x
22
x
x
x
27
32
Graph II
1
x
x
x
x
x
x
2
3
4
x
x
x
x
5
a. Which question does Graph I represent? ________
b. Which question does Graph II represent? ________
The questions below are on Part B of the assessment.
22. Which stem-and-leaf plot has a median of 23 and mode of 27?
Stem Leaves
(10s) (1s)
[A]
1 046
2
0377
3 12
Stem
Leaves
(10s) (1s)
[B]
1 046
2
023
3
12
Stem Leaves
(10s) (1s)
[C]
3 0552
4
0377
5 1345
Stem Leaves
(10s) (1s)
[D]
3 0552
4
023
5
1345
23. The data below shows the final exam grades for Ms. Russo’s math class.
48, 45, 43, 30, 54, 50, 37, 53, 32, 28, 27, 22, 36, 51, 46
a. Explain the mistake in the stem-and-leaf plot for the exam grades.
Stem Leaves
2 278
3 0267
4 3568
5 013
b. Give the correct stem-and-leaf plot for these grades.
24. a. Use a ruler to draw a line segment 1
1
inches long.
2
2
inch from this line segment, how long would it be?
3
c. If you draw a line segment twice as long as the original line segment, how long should it be?
b. If you erased
27. Shantell and Tonya each made a graph based on the survey of favorite types of animals for
5th grade students. The results of the survey were as follows:
giraffe: 50%
monkey: 10%
zebra: 40%
100
90
80
70
60
50
40
30
20
10
0
Tonya’s Graph
zebra
Kind of Animal
Percent of Students
Shantell’s Graph
giraffe
monkey
zebra
monkey
giraffe
0 1 2 3 4 5 6 7 8 9 10
a. Whose bar graph best represents the survey results?
b. If 100 students answered the survey, how many of them chose giraffe?
c. If 10 students answered the survey, how many of them chose zebra?
d. If 50 students answered the survey, how many of them chose monkey?
e. If you were trying to choose a favorite animal for a documentary, how many 5th grade
students would you interview? Explain why you chose that number.
28. Explain one way to rename
2
as a percent without using a calculator.
5
Open Response Item
29. Mean Age
Imagine a family of 5 people. Pretend you are one of the 5 people in the family.
The average age of this family is 21 years.
1. List the ages of all five people in the family. Describe the relationship each of the imaginary
family members has to you—for example, my mom, my little sister, etc.
2. Explain how you used the mean to find the ages of the family members.