Name: ________________________________________
Date: _______________
Period: _____
Unit 3 Common Assessment Practice
Topics in This Unit:
 Real world problems with rational numbers
 Area and circumference of circles
 Composite Shapes
 Scale Factor
 Finding the unit rate/constant of proportionality in a table, graph, and rule
 Recognizing proportional relationships in a table, graph, rule and situation
 Understand the meaning of points on a line in a proportional situation
Possible Spiral Topics
 Probability (i.e. is an event certain, likely, neither likely nor unlikely, unlikely, or impossible.)
 Addition, subtraction, multiplication and division of fractions and decimals
______________________________________________
How to use this review:

The answers to every question are on the last page.
They are not there to copy, they are there to check your work. Your test will not be these exact
questions, so just knowing the answer will not help you study. When you are checking your
answers, remember, that leaving out a negative sign or a decimal point is very significant. If
you do this on a test, you will get the whole problem incorrect.

Practicing the strategies you learned will help you study.
You will not be given the strategy to use on the test, so you are not given them on this review
because you need to practice choosing and making the strategy.

Do not save this whole pack for the day before the test.
Do a little bit each day and clear up any confusion you have right away.

Teach someone in your family about a topic.
You remember 20% of what you see, 75% of what you practice and 90% of what you teach.

Work on any unfinished problems in your workbook, or retry problems that you know are right
on a separate sheet of paper.
______________________________________________
What to do for help on the topics you get wrong from the review:

Head to YouTube and search for some videos to explain a topic.

Check in with your teacher for extra help.
To get the most out of your time, be specific about what you need help with.
1. Real World Problems: Find the solution for each situation.
Situation
Solution as a
Sentence
Work Space
1
Mr. Campbell wants to store 25 2 cups
of stew in containers. Each container
holds a maximum of 1.5 cups of stew.
What is the minimum numbers of
containers Mr. Campbell needs to hold
all of the stew?
Maggie bought 5.4 pounds of PlayDoh
and she separated it into 0.6 pound
containers to sell at the preschool craft
fair. If she sells each of the containers
of PlayDoh for $1.20, how much
money will she make?
2. Area and Circumference of circles. Find the area of each circle given the circumference.
Circumference
Work Space
Area
43.96 m
59.66 cm
3. Area: Write the formulas and draw a picture for each shape.
Shape
Picture
Formula
Rectangle
Parallelogram
Triangle
Trapezoid
Circle
4. Composite Shapes: Find the area of each composite shape.
Shape
Plan in Words
Work Space
5. Scale Factor: Find the scale factor as a fraction, decimal and percent for each pair of shapes below”
Shape
Fraction
copy
copy
Decimal
Percent
6. Proportional Graphs. Answer each question below.
a.
.
b.
.
7. Proportional Tables: Determine if each table below is proportional. If it is, find the constant of
proportionality.
Constant of
Table
Proportional?
Proportionality
8. Proportional Situations: Answer each question about the situations below.
Situation
Work Space and Solution
Sally bought 5 pizzas for 99.75. Jim
bought 12 pizzas for $239.40. Is the
cost of the pizza proportional to the
amount of pizzas bought? If so, find the
cost of 7 pizzas.
Jerry’s cookies call for 5 21 cups of flour
for every 3 cups of sugar. How much
flour will Jerry need for 1 cup of sugar?
Mrs. Holsapfel has 8.6 pounds of candy
to give out to her students. If she has
20 students, how much candy does
each student get?
9. Spiral Topics
Problem
Find the sum:
Work Space
Solution
8 51   2.75 
What is the difference
between 1,210 and -450?
Find the product: -4.2( 3 21 )
 20 

 6 
Find the quotient:  
Decide where each of the following events would be located on the scale below. Place the letter
for each event on the appropriate place on the probability scale.
The numbers from 1 to 10 are written on small pieces of paper and placed in a bag. A piece of
paper will be drawn from the bag.
A. A piece of paper with a 5 is drawn from the bag.
B. A piece of paper with an even number is drawn.
C. A piece of paper with a 12 is drawn.
D. A piece of paper with a number other than 1 is drawn.
E. A piece of paper with a number divisible by 5 is drawn
Answers
1. Real World Problems:
a. 17 containers
b. $10.80
2. Area and Circumference of Circles
a. 153.86 square meters
b. 283.39 square centimeters
3. Area
Shape
Rectangle
Parallelogram
Triangle
Trapezoid
Circle
Picture
bh
Formula
bh
1
2
4. Composite Shapes
a. 702 sq. ft.
b. 112 sq. in.
5. Scale Factor
a. Fraction = 4; Decimal = 4; Percent = 400%
1
b. Fraction = 3 ; Decimal = 0.3 ; Percent = 33.3%
6. Proportional Graphs
a. D
b. B
7. Proportional Tables
a. Yes; 0.25
b. No
c. Yes; 23
8. Proportional Situations
a. Yes; 139.65
b. 1 56
c. 0.43
9. Spiral Topics
a. 5.45
b. 1,660
c. 14.7
d. 3 31
e. Impossible: C
Unlikely: A E
Neither Likely Nor Unlikely: B
Likely: D
Certain: F
bh
or
bh
2
h( b1  b2 )
2
1
2
or
h  b1  b2 
 r 2 or
 r r
use   3.14