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Proportional Reasoning

Total questions: 104

Worksheet time: 5hrs 47mins

Name
Class
Date
1.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
2.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
3.
Mrs. Jones reads 75 pages in 25 minutes. What is her average page per minute?
a)
3 pages per minute
b)
100 pages per minnute
c)
50 pages per minute
d)
2 pages per minute
4.
Mr. Keys made $90 in 5 hours.  What is the unit rate?  
a)
$18 per hour
b)
$1 in 18 hours
c)
$90:5h
d)
5 to 90
5.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
6.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?
a)
$0.08
b)
$25
c)
$12
d)
$12.50
7.
Atlas is selling sweatshirts for a school fundraiser.  Three sweatshirts cost $60.  His goal is to make $160.  How many sweatshirts does Atlas have to sell to reach his goal?
a)
123 sweatshirts
b)
8 sweatshirts
c)
9 sweatshirts
d)
63 sweatshirts
8.
Trevor wants to order whistles for his birthday treat bags.  Party City sells 25 whistles for $21.25.  Walmart sells 50 whistles for $36 and Target sells 80 whistles for $60.  Which store would give Trevor more for his money?
a)
Party City
b)
Walmart
c)
Target
9.
Find the unit price for each offer to determine which is the better buy –
Store A: 6 x-box games for $25
Store B: 8 x-box games for $33
a)
Store A
b)
Store B
10.

Mrs Estrada has 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf, how many slices of bread are in 4 loaves?

a)

110

b)

88

c)

173

d)

100

11.
There are 10 chocolate chip muffins, 12 blueberry muffins, 2 pumpkin muffins, and 8 corn muffins on a tray. Write the ratio of pumpkin to chocolate chip muffins in simplest form.
a)
10 to 12
b)
2 to 8
c)
2 to 10
d)
1 to 5
12.
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
a)
175
b)
185
c)
200
d)
220
13.

Which relationship describes 2:5

a)

The ratio of desks to chairs if there are 5 chairs and 2 desk

b)

The ratio of boys to girls if there are 2 girls and 5 boys

c)

The ratio of girls to boys if ther are 2 girls and 5 boys

d)

The ratio of chairs to desk if there are 5 chairs and 2 desk

14.

What is a Ratio?

a)

Is a comparison of two quantities

b)

To multiply two fractions

c)

A number over another number

d)

Two decimals that can be multiplied

15.

What is the ratio to the picture shown, triangles to squares?

a)

2:6

b)

5:6

c)

3:4

d)

4:3

16.
***PROPORTION***
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
17.
Determine if the ratios are proportional.
4/5 and 15/20
a)
Yes
b)
No
18.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
19.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
20.
There are 3 bags of chips for $6.12 how much did one bag of chips cost?
a)
$2.04
b)
$6.12
c)
$204
d)
$2.03
21.
The school bus goes 300 miles in 5 hours. What is the average miles per hour?
a)
1500 miles per hour
b)
305 miles per hour
c)
1/60 miles per hour
d)
60 miles per hour
22.

Mr Duran is a math teacher who earns 250.00 dollars a day for 8 hours of work.Which of the following is an equivalent rate.

a)

250.00 for 5 1/2 hours of work.

b)

Hold on , what's does it mean to have the same rate?

c)

500.00 for 16 hours of work.

d)

250.00 for 10 hours of work.

23.

Mrs Estrada has 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf, how many slices of bread are in 4 loaves?

a)

110

b)

88

c)

173

d)

100

24.
Nish is making strawberry jelly. He needs twelve cups of sugar for every sixteen cups of strawberries. How much sugar does he need for four cups of strawberries?
a)
3 cups of sugar
b)
6 cups of sugar
c)
4 cups of sugar
d)
2 cups of sugar
25.
The tallest player in the European Basketball League (EBL) is 229 centimeters tall. The tallest player in the National
Basketball Association (NBA) is 90 inches tall. Which league has the tallest player?
a)
NBA player
b)
EBL player
26.
Find the unit price for each offer to determine which is the better buy –
Store A: 6 x-box games for $25
Store B: 8 x-box games for $33
a)
Store A
b)
Store B
27.
If I can buy 5 pencils for $2.15, what is the unit rate or constant of proportionality or the price per pencil?
a)
$2.33
b)
$2.32
c)
$0.43
d)
$0.45
28.

Mr. Anderson sees the winter coat he wants is 30% off. The original price is $90.00. What is the sale price of the coat?

a)

$30

b)

$27

c)

$90

d)

$63

29.
Mrs. Eicher and her family ate dinner out. Their total bill was $ 52.16. If they are going to tip their server 20%, how much will their total bill be?
a)
$60
b)
$62.59
c)
$72.16
d)
$10.43
30.
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.
31.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
32.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
33.

Is this a proportional equation? Why?

a)

It is not proportional because it doesn't have anything added to it.

b)

It is proportional because it doesn't have anything added to it.

34.
What does the point (2,4) represent?
a)
4 pounds of apples cost $2
b)
a non proportional relationship
c)
2 pounds of apples cost $4
d)
A store charging too much for apples
35.
Write an equation for this line.
a)
y=2x
b)
y=4x
c)
y=2x+4
d)
y=4x+8
36.
I am making apple sauce for my family and neighbors. How much will 20 pounds of apples cost me?
a)
$2
b)
$10
c)
$20
d)
$40
37.
Write the equation of a line with these two points. (2, 8) and (4, 16).
a)
y=4x
b)
y=4x+8
c)
y=4x+2
d)
y=1/4 x
38.
I rent my skis for $40 per day. What equation represents this situation?
a)
y=20x+5
b)
y=3x+40
c)
y=40x
d)
y=5x+40
39.
When I rent my skis for $40 per day, is there an initial fee?
a)
Yes
b)
No
40.
Which situation represents this equation?
y=3x+15
a)
When I go tubing, there is a fee of $3 to rent the tube plus $15 per hour.
b)
When I go tubing, there is a fee of $18 to rent the tube plus $3 per hour.
c)
When I go tubing, there is a fee of $15 to rent the tube plus $3 per hour.
d)
When I go tubing, there is a fee of $12 to rent the tube plus $5 per hour.
41.
Find the equation of a line given these two points. (1,3) and (-2, 6).
a)
y=-x+4
b)
y=4x
c)
y=-3x + 3
42.
Adelaide rented a lawn aerator from Arvada Rent-Alls.
It cost  $20 for 1 hour and $40 for 3 hours.
If she had gone to Wheat Ridge rentals is would have been it would cost her $20 for 1 hour and $60 for 3 hours.
Which company charges no initial fee?
a)
Arvada Rent-Alls
b)
Why is she renting an aerator?!?
c)
Wheat Ridge Rentals
d)
Neither
43.

Adelaide rented a lawn aerator from Arvada Rent-Alls.

It cost $20 for 1 hour and $40 for 3 hours.

If she had gone to Wheat Ridge rentals is would have been it would cost her $20 for 1 hour and $60 for 3 hours.

What is the equation of the line that represents Arvada Rent-Alls? Try drawing a graph to help you.

a)

y=10x

b)

y=10x+10

c)

y=10x+20

44.
Adelaide rented a lawn aerator from Arvada Rent-Alls.
It cost  $20 for 1 hour and $40 for 3 hours.
If she had gone to Wheat Ridge rentals is would have been it would cost her $20 for 1 hour and $60 for 3 hours.
What is the equation of the line that represents Wheat Ridge rentals?
a)
y=20x
b)
y=20x+20
c)
y=40X
45.

Three dinner rolls cost 99 cents. How much for one dinner roll?

a)

30 cents

b)

32 cents

c)

33 cents

d)

297 cents

46.

Four blocks stacked one on top of the other are 24 cm high. Determine the unit rate

a)

7 cm/block

b)

8 cm/block

c)

6 cm/block

d)

9 cm/block

47.

Louisse was paid $35 for 5 hours of babysitting. How much money would she be paid for 3 hours?

a)

$15.00

b)

$7.00

c)

$28.00

d)

$21.00

48.

Determine the missing value

a)

9

b)

8

c)

12

d)

4

49.

Determine the missing value to make each rate equivalent.

a)

20 km

b)

120 km

c)

30 km

d)

80 km

50.

Determine the missing value. Include your units

(a)  

51.

Determine the missing value. Include your units

(a)  

52.

A small gear turns 18 times in the same time that a large gear turns 4 times. How many times will the large gear turn if the small gear turns 54 times?

a)

4 turns

b)

13 turns

c)

18 turns

d)

12 turns

53.

If 10 beans have a mass of 17 g, then 30 beans would have a mass of ____ g

a)

47 g

b)

15 g

c)

51 g

d)

50 g

54.

There are 13 boys for 15 girls in every classroom at St. Pat's School. If there are 75 girls then how many boys are there?

a)

28 boys

b)

65 boys

c)

75 boys

d)

17 boys

55.

On a map, 1 cm represents 25 km. Kendra wants to ride her bike 160 km. How many cm would this represent on the map?

a)

25 cm

b)

8 cm

c)

4.6 cm

d)

6.4 cm

56.

Two quarters have the same value as ten nickels. What is the value of five quarters in nickels?

a)

10 nickels

b)

25 nickels

c)

25 quarters

d)

15 nickles

57.

If a 15-m tree casts a 9-m shadow, what is the height of a student who casts a 1.08-m shadow?

a)

1.08 m

b)

8.2 m

c)

1.8 m

d)

2.08 m

58.

The dosage of a certain medicine for a child is 2.5 mL for each 3 kg mass of the child. What is the dose, in millilitres, for a child with a mass of 16.5 kg?

a)

13.75 mL

b)

13.25 mL

c)

18.75 mL

d)

15.5 mL

59.

Determine the missing value. Include the units

(a)  

60.

What is the missing number for the following fraction?

25 = ?10\frac{2}{5}\ =\ \frac{?}{10}  



(a)  

61.

What is the missing number for the following equivalent fractions?

12 = ?14\frac{1}{2}\ =\ \frac{?}{14}  



(a)  

62.

What is the missing number for the following equivalent fractions?

35  = 9?\frac{3}{5\ }\ =\ \frac{9}{?}  



(a)  

63.

What is the missing number for the following equivalent fractions?

112 = 33?\frac{11}{2}\ =\ \frac{33}{?}  



(a)  

64.

What is the missing number for the following equivalent fractions?

1216 = ?8\frac{12}{16}\ =\ \frac{?}{8}  



(a)  

65.

What is the missing number for the following equivalent fractions?

1? = 550\frac{1}{?}\ =\ \frac{5}{50}  



(a)  

66.
a)
2
b)
4
c)
1
d)
3
67.

Which of the following is an equivalent fraction to 5/6?

a)

7/8

b)

10/12

c)

8/12

d)

3/4

68.
Are the fractions equivalent?
a)
Yes
b)
No
69.
Put 15/45 in simplest form.
a)
3/9
b)
1/3
c)
30/90
d)
Already in simplest form
70.

 

Select all fractions equivalent to  14\frac{1}{4} .

a)

28\frac{2}{8}  

b)

110\frac{1}{10}  

c)

312\frac{3}{12}  

d)

411\frac{4}{11}  

e)

1040\frac{10}{40}  

71.

Select all fractions equivalent to  26\frac{2}{6}  .

a)

13\frac{1}{3}  

b)

510\frac{5}{10}  

c)

412\frac{4}{12}  

d)

28\frac{2}{8}  

72.

Select all fractions NOT equivalent to  12\frac{1}{2} .


a)

24\frac{2}{4}  

b)

48\frac{4}{8}  

c)

23\frac{2}{3}  

d)

36\frac{3}{6}  

e)

3062\frac{30}{62}  

73.

What value for x makes equivalent fractions?

3x = 1535\frac{3}{x}\ =\ \frac{15}{35}  

a)

5

b)

7

c)

8

d)

4

74.
Which is NOT an equivalent fraction to one half?
a)
2/4
b)
2/3
c)
4/8
d)
3/6
75.

In the equivalent ratios below, what did we multiply by to get the ratio on the bottom?


9 : 4


45 : 20

a)

6

b)

5

c)

8

d)

3

76.
a)
7
b)
8
c)
9
d)
10
77.
Which of the following ratios are NOT equivalent to 20:24?
a)
10:12
b)
5:6
c)
15:18
d)
16:20
78.

Tomatoes and cucumbers were planted in a vegetable garden in the ratio of 4 : 1. If there are 14 cucumber plants, how many tomato plants are there?

a)

56

b)

14

c)

70

d)

6

79.

The ratio of flour to sugar in a cookie recipe is 2 cups to 1/2 cup. If you were going to scale down the recipe to make a half batch of cookies, how much flour and sugar would you use?

a)

1 cup of flour and 1/4 cup of sugar

b)

4 cups of flour and 1 cup of sugar

c)

1/2 cup of flour and 1/4 cup of sugar

d)

1 cup of flour and 2/4 cup of sugar

80.

Enrique is making cakes.


Based on the table, how many eggs will Enrique need to make 7 cakes?

a)

11

b)

28

c)

32

d)

40

81.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
82.

36 to 21 = _____ to 7

a)

7

b)

9

c)

10

d)

12

83.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
84.

What number should go in the blank to make the ratios equivalent?


7 : 2


21 : __?__

a)

6

b)

4

c)

8

85.
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.
86.
Is the graph proportional?
a)
Yes
b)
No
87.
Is the table proportional?
a)
Yes
b)
No
88.
Is the graph proportional?
a)
yes
b)
no
89.
Is the graph proportional?
a)
yes
b)
no
90.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
91.
Is the graph proportional?
a)
yes
b)
no
92.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
93.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
94.
Which statement about this graph is most true?
a)
It is proportional.
b)
The cleaner uses 1 cup of vinegar to every 2 cups of cleaner
c)
The cleaner uses 2 cups of vinegar for every 4 cups of cleaner
d)
All of the above.
95.
Which is true about the graph?
a)
The insurance company pays $30 for every $20 the patient pays, making the slope of the graph 3/2
b)
The insurance company pays $10 for every $10 the patient pays, making the slope of the graph 1
c)
The insurance company pays $30 for every $20 the patient pays, making the slope of the graph 1/2
d)
The insurance company pays $30 for every $10 the patient pays, making the slope of the graph 3/2
96.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
97.
Is this table proportional?
a)
Yes
b)
No
98.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
99.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
100.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
101.
a)
12/3 = 16/p
b)
12/16 = 3/p
c)
12 + 16 = 3 + p
d)
3/4 = 3/p
102.
There are 8 teacher and 40 students going on a field trip. If 20 more students decided to go on the field trip, then how many more teachers must go to keep it proportional?
a)
5 more teachers
b)
4 more teachers
c)
2 more teachers
d)
none
103.
A glacier moves about 12 inches every 36 hours. About how far does the glacier move in 90 hours?
a)
4. 8 inches
b)
30 inches
c)
270 inches
d)
180 inches
104.
Which of the following is NOT true?
a)
Constant of Proportionality is x divided by y
b)
Constant of Proportionality is y divided by x
c)
constant of proportional is the same as unit rate
d)
A straight line that goes through the origin has a proportional relationship

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