This document contains a review sheet for a math test with 8 multiple part questions. The questions cover ratios, proportions, unit rates, graphing, and mixing ratios. Students are asked to set up tables and charts, graph ordered pairs, find equivalent ratios, and justify answers. The review sheet provides practice with key math skills and concepts assessed on the upcoming test.
1. Name ___________________________________________Date ___________________
Math Period _________________
Module 1 Mid-Module Review Sheet for Test
1. Nesaquake Middle School requires that there be at least 5 chaperones per class of 75 students. What is the
chaperone to student ratio in its VALUE form? ____________________
2. 85 sets of Lesson #13 were copied for the math students on Team 6C. At the end of the day, 10 extra copies were
leftover. Wr ite all answers in their VALUE form.
a. What was the ratio of the number of sets that were taken to the total amount of sets copied? _____________
b. What is the ratio of number of sets leftover to number of sets taken? ______________
3. It takes approximately 95 gallons of water to properly irrigate 10 square feet of farmland. Borella’s farm has 300
square feet of farmland it needs to irrigate. They predict that they will need 2700 gallons of water to properly irrigate
this piece of land. Is their prediction correct? Prove or disprove this by checking if the ratios are equivalent. Check
one or the other and show all work (choose a method of proof).
_____Yes, the value, c (constant), is: ____________
_____No, an equivalent ratio would be: _____________
4. At NMS there are 2 students that take advanced biology in 8th grade for every 11 students that take regular 8th grade
science. If there are 243 more students taking regular 8th grade science than students taking advanced biology, find the
number of students taking advanced biology. Use a tape diagram to justify your answer.
2. There is a total of ___________ students taking advance biology.
5. Aileen is reading a novel and wants to know many pages she can read in one hour. It took
her 24 minutes to read the first 10 pages.
a) Complete the table.
b) Complete the double line diagram using the data in the table. Look at Part C before you set
up the double line diagram.
c) Use the double line diagram to find how many pages she will read in 64 minutes.
Aileen can read ____________ pages in 64 minutes.
6. Ryan likes to shoot hoops. For every 8 free throws he shoots,
he puts 2 shots in the basket and misses 6 shots. Complete the
ratio table on the right and answer questions that follow.
a. Which equation shows the relationship between the number of
shots scored (S) and the number of shots missed(M)?
a) S = 3M b) M =
1
S c) S =
3
1
M d) T = S M
3
Pages Minutes
10
20
30
40
Shots
Scored(S)
Shots
Missed(M)
Total number of
Shots (T)
2 6 8
3
4
5
3. b. Write an equation that shows the relationship between the number of shots scored and the total number of shots
taken. ____________________
7. A 2- hour TV program has approximately 4 commercials that advertise cars during that time span. A table was
created to the right.
a) What ratio was used to create this table? (show the ratio in VALUE
form)_______________
b) Write an equation that represents the relationship between time and number of
car commercials.
_______________________
c) Use the table to make a list of ordered pairs to plot in a coordinate plane.
Time in
Hours (x)
Number of Car
Commercials (y)
2 4
3 6
4 8
5 10
6 12
( , ) ( , ) ( , ) ( , ) ( , )
d) Graph the ordered pairs in the coordinate plane. Label your axes and create a title for the graph. Connect the
ordered pairs using a line.
4. e) Based on the problem, how many commercials on cars can we expect to see for 7 ½ hours of TV programming?
_______________
Use the table or graph to justify your answer and explain below.
_________________________________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________
________________________________________________________________________________________
________________________________________________________________________________________
________________________________________________________________________________________
________________________________________________________________________________________
________________________________________________________________________________________
8. Mrs. Dean is mixing paint. The mixture requires 4 cups of red for every 3 cups of blue. Mrs. Stebben’s mixture
requires 3 cups of red for every 2 cups of blue.
A.) Complete both charts.
B.) Circle the two ratios you can use to compare.
5. Mrs. Dean’s mixture
Red (cups) 4
Blue (cups) 3
Mrs. Stebben’s mixture
Red (cups) 3
Blue (cups) 2
C) Which mixture will have a stronger red tint? _________________
D) Explain why. Be specific by using evidence/data.
_________________________________________________________________________________________________________________________________________________________
_____________________________________________________________________________________________________________________
Name ___________________________________________Date ___________________
Math Period _________________
Module 1 Mid-Module Review Sheet for Test
1. Nesaquake Middle School requires that there be at least 5 chaperones per class of 75 students. What is the
chaperone to student ratio in its VALUE form? ____________________
6. ퟏ
ퟐퟓ
2. 85 sets of Lesson #13 were copied for the math students on Team 6C. At the end of the day, 10 extra copies were
leftover. Wr ite all answers in their VALUE form.
85= copied
10=leftover
75 =taken
a. What was the ratio of the number of sets that were taken to the total amount of sets copied? _____________
ퟕퟓ
ퟖퟓ
=
ퟏퟓ
ퟏퟕ
b. What is the ratio of number of sets leftover to number of sets taken? ______________
ퟏퟎ
ퟕퟓ
=
ퟐ
ퟏퟓ
3. It takes approximately 95 gallons of water to properly irrigate 10 square feet of farmland. Borella’s farm has 300
square feet of farmland it needs to irrigate. They predict that they will need 2700 gallons of water to properly irrigate
this piece of land. Is their prediction correct? Prove or disprove this by checking if the ratios are equivalent. Check
one or the other and show all work (choose a method of proof).
``
_____Yes, the value, c (constant), is: ____________
__x___No, an equivalent ratio would be: __2850:300___________
4. At NMS there are 2 students that take advanced biology in 8th grade for every 11 students that take regular 8th grade
science. If there are 243 more students taking regular 8th grade science than students taking advanced biology, find the
number of students taking advanced biology. Use a tape diagram to justify your answer.
AB
27 27
RS
27 27 27 27 27 27 27 27 27 27 27
243
95:10 2700:300
x 28.4 x30
AB:RS
2:11
7. 243 ÷9 = 27
27 x 2 = 54
There is a total of _____54______ students taking advance biology.
5. Aileen is reading a novel and wants to know many pages she can read in one hour. It took
her 24 minutes to read the first 10 pages.
a) Complete the table.
b) Complete the double line diagram using the data in the table. Look at Part C before you set
up the double line diagram. 10
10 20 ? 30 40 pages
24 48 64 72 96 minutes
c) Use the double line diagram to find how many pages she will read in 64 minutes.
4
6
of 10 =
2
3
of 10
2
3
x
10
1
=
20
3
= 6
2
3
20 + 6
2
3
= 26
2
3
Aileen can read ___26
2
3
_________ pages in 64 minutes.
Pages Minutes
10 24
20 48
30 72
40 96
Shots
Scored(S)
Shots
Missed(M)
Total number of
Shots (T)
2 6 8
52 56 60 68
8. 6. Ryan likes to shoot hoops. For every 8 free throws he shoots,
he puts 2 shots in the basket and misses 6 shots. Complete the
ratio table on the right and answer questions that follow.
3 9 12
4 12 16
5 15 18
a. Which equation shows the relationship between the number of shots scored (S) and the number of shots missed(M)?
a) S = 3M b) M =
1
S c) S =
3
1
M d) T = S M
3
b. Write an equation that shows the relationship between the number of shots scored and the total number of shots
taken. ______4S=T______________
**must be written as a coefficient and variable in the correct order to receive full credit.
7. A 2- hour TV program has approximately 4 commercials that advertise cars during that time span. A table was
created to the right.
a) What ratio was used to create this table? (show the ratio in VALUE
form)___
1
2
표푟 2
1
____________
b) Write an equation that represents the relationship between time and number of
car commercials.
2x=y
Time in
Hours (x)
Number of Car
Commercials (y)
2 4
3 6
4 8
5 10
6 12
**must be written as a coefficient and variable in the correct order to receive full credit.
c) Use the table to make a list of ordered pairs to plot in a coordinate plane.
(2,4) , (3,6), (4 ,8), (5,10), (6,12 )
d) Graph the ordered pairs in the coordinate plane. Label your axes and create a title for the graph. Connect the
ordered pairs using a line. **points will be deducted for missing labels
y-axis Commercials Per Hour
9. e) Based on the problem, how many commercials on cars can we expect to see for 7 ½ hours of TV programming?
_____15__________
Use the table or graph to justify your answer and explain below.
Using the graph, I found 7½ along the x-axis. I followed that up to the line and then looked over to the y-axis to see
that it was 15 commercials. All points along the line represent equivalent ratios.
8. Mrs. Dean is mixing paint. The mixture requires 4 cups of red for every 3 cups of blue. Mrs. Stebben’s mixture
requires 3 cups of red for every 2 cups of blue.
A.) Complete both charts.
B.) Circle the two ratios you can use to compare.
Mrs. Dean’s mixture
Red (cups) 4 8 12 16
Blue (cups) 3 6 9 12
Mrs. Stebben’s mixture
Number of Hours
Number of Commercials
x-axis
10. Red (cups) 3 6 9 12
Blue (cups) 2 4 6 8
C) Which mixture will have a stronger red tint? ___Mrs. Stebbins______________
D) Explain why. Be specific by using evidence/data.
Mrs. Stebbins will have a stronger red tint because she uses one more cup of red (9) than Mrs. Dean (8) for the
same about of blue (6).