Name ____________________________________________
Fraction Times Unit Test
Date ______________________
Page 1 of 2
Use additional paper as needed.
Solve the following fraction problems. Explain how you solved
them. (Suggestion: You may use bars or think about a situation in
which you would use these fractions.)
1_
1. a. _43_ _5
5_ _1_
b. _6
4
2. A newspaper headline reads: Three out of five voters prefer
Janson for mayor. Rewrite the headline using a percent.
Carol claims she usually spends _43_ of her time after school doing
homework, not counting eating or sleeping. “That may be right,”
her mother says, “but at least one-third of the time you are doing
homework you are on the phone!”
4. Find _83_ of
56
_2_ .
3
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3. Which part of her time after school does Carol spend doing
homework (when she is not talking on the phone)?
Show your work.
Fraction Times Unit Test
Mathematics in Context
Page 2 of 2
Fraction Times Unit Test
The students from Mr. Karmel’s class each chose their favorite animal.
The number of students choosing each animal is summarized below.
Animal
Number of Students
Owl
7
Leopard
2
Horse
6
Bear
9
5. a. How many students are in Mr. Karmel’s class if all students
chose an animal?
b. Label the two extra columns, Fraction of Students and Percent
of Students. Complete the empty columns.
c. Use the 100-circle on the right to make a pie chart of the results.
(Remember to include a chart key.)
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Title: ___________________________
d. What is an advantage of showing results in a table?
e. What is an advantage of showing results in a pie chart?
After taking the survey in Mr. Karmel’s class, the students asked all
students from the school to choose the animal they best compared to.
They found that 28% of all 360 students chose a bear.
f. How many students chose a bear? Show your work.
Mathematics in Context
Fraction Times Unit Test
57
Fraction Times Unit Test
Solution and Scoring Guide
Possible student answer
___
1. a. _43_ _15_ 19
20
Suggested number
of score points
Sample student work:
Problem level
2
I
2
(1 score point for the
correct answer, 1 for
correct student work)
I
2. Sixty percent of the voters prefer Janson for mayor.
1
II
3. Carol spends half of her time doing homework.
Possible student work:
2
III
2
(1 score point for
the correct answer,
1 score point for
correct calculations)
1
_3_ 15
___
4 20
_1_ _4__
5 20
7
__
b. _56_ _41_ _12
Sample student work:
I thought of 5 out of 6 is equal to 10 out of 12.
One out of 4 is equal to 3 out of 12.
7
__ .
The difference is 7 out of 12 or _12
Carol spends
_1_
3
on the phone, so
_2_
3
is not on
the phone.
_1_
3
4.
_1_
4
of
_3_
4
is
_1_ ,
4
so
_2_
3
of
_3_ .
4
Possible student work:
I thought of 24 hours to do something.
_1_
3
of 24 hours equals 8 hours, so
_2_
3
is equivalent
to 16 hours.
_1_
8
of 16 hours is 2 hours, and
_3_
8
is equal to 6 hours.
If you spend 6 out of 24 hours at school,
6
__ or
this can be expressed as _24
62
Fraction Times Unit Test
_1_ .
4
Mathematics in Context
Fraction Times Unit Test
Solution and Scoring Guide
Possible student answer
Suggested number
of score points
5. a. 24 students (7 2 6 9 24)
b. Added columns:
Fraction of Students
Percent of Students
__7_
24
(0.29) 29%
or about 30%
__2_
24
(0.08) 8%
or about 10%
_6
__ or _1_
4
24
25%
__9_ or _3_
8
24
(0.375) 37.5%
or about 40%
Problem level
1
I
4
I/II
(subtract 1 point
for each error)
Note that it is not necessary to simplify fractions.
c. For a correct pie chart, include a title and key.
3
I
d. Sample answer: A table shows the exact results.
1
III
e. Sample answer: A pie chart for one class can
be compared with others that have different
numbers of students.
1
III
f. Accept answers in the range 95–105.
Some students may use a percent bar while
others use a ratio table.
2
II/III
Favorite Animals of Students
in Mr. Karmel’s Class
Owl
Leopard
Horse
Bear
Total score points
Mathematics in Context
21
Fraction Times Unit Test
63