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Rates/Proportions/Proportionality Test Review

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

The ratio of red counters to blue counters is 3 : 1


What fraction of the counters are blue?

a)

1/4

b)

3/4

c)

1/3

d)

3/1

2.

The ratio of green counters to blue counters is 4 : 5


What fraction of the counters are blue?

a)

5/4

b)

4/5

c)

4/9

d)

5/9

3.

Select all that apply. Write a ratio of the first measurement to the second measurement in THREE different ways. 5 weeks, 35 days

a)

535\frac{5}{35}

b)

5:35

c)

35:5

d)

5 to 35

e)

35 to 5

4.

A class is attended by 16 boys and 32 girls. Write the ratio of GIRLS to BOYS as a fraction in SIMPLEST FORM.

a)

3216\frac{32}{16}

b)

12\frac{1}{2}

c)

1632\frac{16}{32}

d)

21\frac{2}{1}

5.

Use the shapes in the picture to write the ratio of STARS to SQUARES.

a)

3 to 2

b)

2 to 4

c)

4 to 2

d)

3 to 4

6.

Find THREE equivalent ratios for 4 to 7. Select all that apply.

a)

814\frac{8}{14}

b)

7 to 4

c)

24:42

d)

7:4

e)

20:35

7.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
8.

What is the ratio of red apples to green apples

a)

7 to 3

b)

4 to 7

c)

4 to 3

d)

3 to 4

9.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
10.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
11.
A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?
a)
Slower rate
b)
Faster rate
c)
He didn't grade them
d)
Everyone got 100
12.
Four pounds of bananas cost $6.  What is the cost per pound of bananas?
a)
$24 per pound
b)
$1.50 per pound
c)
$1 per pound
d)
$6 per pound
13.
Which is the "better buy"?  A 12 ounce can of corn for $1.92 of  a 20 ounce can of corn for $3.00?
a)
They are the same
b)
The  20 ounce can
c)
The 12 ounce can
14.

If a person walks 1/2 mile in 1/4 hour, how far does that person walk in 2 hours?

a)

2 miles

b)

8 miles

c)

14 miles

d)

4 miles

15.

Jan ran 5 miles in 48 minutes. What was her time per mile?

a)

10 min/mi

b)

9.6 min/mi

c)

about 12 min/mi

d)

9.5 min/mi

16.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

17.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

18.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

19.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 3

d)

x = 3y

20.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14x

21.

Janet used 155 beads to create 5 necklaces. What is the constant of proportionality of beads per necklace

a)

31

b)

775

c)

160

d)

150

22.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
23.

Is this table proportional?

a)

yes because it will go through the origin and is a straight line

b)

no because the C.O.P. for each line is different

c)

yes because it increases by 1

d)

no because there is no origin

24.
 Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
4
d)
C.O.P.
25.
What is the equation for the graph?
a)
y=46x
b)
x=46y
c)
y=92x
d)
x=92y
26.
Write the ratio as a fraction in simplest form. 
 
  24 players : 3 teams
a)
8:3
b)
8 to 1
c)
8/1
d)
8/3
27.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
28.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
29.
Solve the proportion.
a)
n=6
b)
n=24
c)
n=7
d)
n=8
30.
a)
4
b)
12
31.
Solve the proportion:
a)
15
b)
5
c)
10
d)
12
32.
a)
1
b)
3
33.

How do you find the constant of proportionality for an equation?

a)

The number in front of y

b)

The number in front of x

c)

The number added to x

d)

The number subtracted from x

34.

In what form is the equation of a proportional relationship?

a)

y = mx + b

b)

y = kx

35.

How do you find the constant of proportionality for a table?

a)

Look for the k value in front of the x

b)

Use the equation k = x/y

c)

Use the equation k = y/x

d)

Find the number you multiply x by to get y

36.

A graph is proportional if...

a)

It is straight

b)

It passes through the origin

c)

Its straight and it passes through the origin

37.

The constant of proportionality can also be called the...

a)

Equation of a proportional relationship

b)

Unit Rate

c)

Origin

d)

Y-intercept

38.

Does this graph show a proportional relationship?

a)

Yes, because it is straight

b)

Yes, because it goes through the origin

c)

Yes, because it is straight and goes through the origin

d)

No, it is not

39.

Does this graph show a proportional relationship?

a)

Yes, because it is a straight line

b)

Yes, because it goes through the origin

c)

Yes, because it is a straight line and goes through the origin

d)

No, it is not

40.

Which proportional relationship has a greater constant of proportionality?

a)

A

b)

B

c)

The are the same

d)

There is not enough information provided

41.

What is the equation for the following proportional table?

a)

x = 12y

b)

y = 1/12 x

c)

y = 12x

d)

x = 1/12 y

42.

What is the constant of proportionality for the following table?

a)

k = 2/3

b)

k = 3

c)

k = 2

d)

k = 3/2

43.

Which of the following represents a proportional relationship?

a)

5x = y

b)

5x + 1 = y

c)

1 - 5x = y

d)

(x)(x) = y

44.

Does this equation represent a proportional relationship?

y = 2 + 7x

a)

Yes, because it has a constant of proportionality

b)

Yes, because it will be a straight line

c)

No, because it will not be a straight line

d)

No, because it will not go through the origin

45.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
46.
Does this equation represent a proportional relationship?
a)
Yes
b)
No
47.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
48.
Solve the equation:
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
49.
Which equation matches the given graph?
a)
y=0.45x
b)
y = 2/5x
c)
y = 4x
d)
k = ¼
50.
Which equation matches the graph?
a)
y = 7x
b)
y = 42x
c)
y = 6x
d)
y = 2x

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