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Grade 6 Unit 5: Check Your Readiness

Total questions: 121

Worksheet time: 10hrs 19mins

Name
Class
Date
1.

Problem 2a: Blueberries cost 4.00perpound.How many pounds ofblueberries can you buy ifor4.00perpound.How\ many\ pounds\ ofblueberries\ can\ you\ buy\ ifor 1.00?

a)

0.25 pounds

b)

1 pound

c)

4 pounds

d)

0.5 pounds

2.

Problem 2b: Blueberries cost 4.00 per pound.  How many pounds of blueberries can you buy for4.00\ per\ pound.\ \ How\ many\ pounds\ of\ blueberries\ can\ you\ buy\ for 13.00?

a)

3.25 pounds

b)

3 pounds

c)

3.5 pounds

d)

4 pounds

3.

Problem 5: If you mix red and white paint in different ratios, you will get different shades of pink paint. If the ratios are equivalent, the shades of pink will be the same. Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint. Priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint. Are these two batches the same shade of pink?

a)

Yes, the shades are the same.

b)

No, the shades are different.

4.

Problem 6: The sides of a square have length s. a. Write a formula for the perimeter P of the square. b. Write a formula for the area A of the square.

a)

a. P=4sP = 4s ; b. A=s2A = s^2

b)

a. P = s^2; b. A = 4s

c)

a. P = 2s2s ; b. A = s2s^2

d)

a. P = s; b. A = 2s

5.

A map of Utah is shown. Which area is closest to the area of Utah?

a)

1,240 square miles

b)

87,150 square miles

c)

94,500 square miles

d)

119,000 square miles

6.

Here is a picture of a circle. Each square represents 1 square unit. Why is the area of the circle less than 4 square units?

a)

The circle fits within a 2x2 square, which has an area of 4 square units.

b)

The circle fits within a 3x3 square, which has an area of 9 square units.

c)

The circle fits within a 1x1 square, which has an area of 1 square unit.

d)

The circle fits within a 4x4 square, which has an area of 16 square units.

7.

Here is a picture of a circle. Each square represents 1 square unit. Explain why the area of the circle is more than 2 square units.

a)

The circle covers more than 2 squares.

b)

The circle covers exactly 2 squares.

c)

The circle covers less than 2 squares.

d)

The circle covers no squares.

8.

Here is a picture of a circle. Each square represents 1 square unit. Do you think the area of the circle is more or less than 3 square units?

a)

More than 3 square units

b)

Less than 3 square units

9.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

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 bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?  

a)

x = 49 seconds

b)

x = 4 meters

c)

x = 49 meters

d)

x =  4 seconds

12.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

13.

Is the given table a proportional relationship? If so, what is the constant?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

14.

Determine the missing value in the table.

a)

15

b)

3

c)

1/3

d)

9

15.

What is the constant of proportionality?

a)

3

b)

4

c)

2

d)

5

16.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

17.

You earn $15 every 3 weeks. At this rate, how much will you earn in 5 weeks?

a)

$25

b)

$35

c)

$5

d)

$10

18.

3.  Express 12 baskets in 18 attempts as a fraction in simplest form.

a)

3 to 2

b)

6 to 9

c)

2:3

d)

12/18

19.

Find a ratio that are equivalent to the given ratio.      15/27

a)

1/9

b)

30/54

c)

6/30

d)

4/28

20.

Which of the following rates of change represents the graph shown?

a)

2 boys for every 1 girl

b)

0.5 boys for every 1 girl

c)

6 boys for every 1 girl

d)

3 boys for every 1 girl

21.

A proportional relationship can be written as an equation in the form ____ = _____  _____

a)

y = k+x

b)

y = k-x

c)

y = kx

d)

y = k/x

22.

What makes a graph proportional?

a)

Straight line

b)

The line goes through the origin

c)

Curvy line

d)

Straight line and the line goes through the origin

23.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

24.

The constant of proportionality in the equation y = ½x is _______. 

a)

x

b)

y

c)

1/2

d)

2

25.

The constant of proportionality can be found by finding the __________  _____________.

a)

unit rate

b)

ratio rate

c)

proportion answer

d)

rational number

26.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$200 earned for every 2 hours worked
is the unit rate

c)

$500 is earned for every 8 hours worked

d)

$300 is earned after working 4 hours

27.

Is this table proportional?

a)

Yes

b)

No

28.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

29.

Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?

a)

475 cars per day

b)

.05 cars per day

c)

19 cars per day

d)

15 cars per day

30.

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

31.

Find the constant proportionality of 624 calories in 3 servings.

a)

1,872 calories per serving

b)

208 calories per serving

c)

624 calories per serving

d)

621 calories per serving

32.

Read carefully and choose the name of the student who made the correct statement.

a)

Isaac

b)

Imari

33.

Read carefully and choose the name of the student who made the correct statement.

a)

DeMarcus

b)

Dana

34.

Read carefully and choose the name of the student who made the correct statement.

a)

Chad

b)

Charlotte

35.

What is the constant of proportionality in the equation y = 2x?

a)

2

b)

x

c)

y

d)

0

36.

Read carefully and choose the name of the student who made the correct statement.

a)

Elijah

b)

Emma

37.

What is the constant of proportionality in the equation y = 3x?

a)

3

b)

x

c)

y

d)

0

38.

Read carefully and choose the name of the student who made the correct statement.

a)

Hector

b)

Hannah

39.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

40.

What is the Constant of Proportionality?

a)

46

b)

92

c)

.02

d)

none, data is not proportional

41.

Determine if the graph represents a proportional relationship.

a)

Yes it does.

b)

No it does not.

42.

Which of the tables above has a constant of proportionality of $0.20?

a)

A & B

b)

A

c)

B

d)

All of them

43.

The constant of proportionality is also the unit rate.

a)

True

b)

False

44.

What is the constant of proportionality for the table above?

a)

2

b)

1/2

c)

3

d)

None of the above

45.

The point (0, 0) is called the origin.

a)

True

b)

False

46.

The horizontal axis is the y-axis.

a)

True

b)

False

47.

Find the perimeter.

a)

2.4 ft

b)

6.4 ft

c)

5.76 ft

d)

1.2 ft

48.

What is the area of this circle?

a)

6,079.04 ft

b)

138.16 ft

c)

69.08 ft

d)

1,519.76 ft

49.

What is the circumference of this circle?

a)

78.5 m

b)

31.4 m

c)

15.7 m

d)

3.14 m

50.

Daniel has a circular rug that has a diameter of 16 inches. How much space does the rug take up?

a)

200.96 in

b)

50.24 in

c)

803.84 in

d)

25.12 in

51.

 What is the formula for circumference of a circle given the diameter?

a)

C = π r

b)

C = π d

c)

C = 2 π r

d)

C = 2 π d

52.

If you are given the diameter, how can you calculate the radius?

a)

Multiply the diameter by 2

b)

Subtract 2 from the diameter

c)

Add 2 to the diameter

d)

Divide the diameter by 2

53.

How do you find the area of a circle?

a)

πd2\pi d^2

b)

2πr2\pi r

c)

2π22\pi^2

d)

πr2\pi r^2

54.

A _____ is half of a circle.

a)

circumference

b)

pi

c)

semicircle

d)

composite figure

55.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
56.
What is the radius of this circle?
a)
12
b)
6
c)
24
57.
What is the radius of this circle?
a)
20
b)
10
c)
40
58.

A car travels 60 kilometers in 1 hour. If it continues at the same speed, how far will it travel in 3 hours?

a)

180 kilometers

b)

60 kilometers

c)

120 kilometers

d)

240 kilometers

59.

What is the constant of proportionality in the equation y = 5x?

a)

5

b)

x

c)

y

d)

0

60.

Which of the following ratios is equivalent to 8/12?

a)

16/24

b)

All of the above

c)

4/6

d)

2/3

61.
y=kx.  What does the k represent?
a)
constant of proportionality
b)
multiplier
c)
scale factor
d)
all of these are correct
62.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
63.

Identify the constant of proportionality.

a)

k = 25

b)

k = 50

c)

k = 100

d)

k = 1/50

e)

none (not proportional)

64.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

65.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
66.
Which of the tables above represents a proportional relationship?
a)
a & c
b)
a, b & c
c)
a, c & d
d)
all of them
67.
What is the equation for the graph?
a)
y=46x
b)
k=46
c)
y=92x
d)
x=92y
68.
Which equation matches the graph?
a)
y = 8x
b)
y = 1x
c)
y = 3x
d)
y = 16x
69.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
70.
Write the equation for the table given.
a)
y = 16/2x
b)
y=8x
c)
y=12x
71.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
72.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
73.
Write the equation for the table given.
a)
y = 16x
b)
y=8x
c)
y=12x
74.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
75.

The constant of proportionality of this graph is k = 45. What does it mean?

a)

The boat travels for 45 miles for every 45 hours

b)

The boat travels 1 mile for every 45 hours

c)

The boat travels 45 miles for every 1 hour

d)

The boat travels 1/45 mile for every 1 hour

76.

Identify the constant of proportionality.

a)

k = 1/90

b)

k = 90

c)

k = 1/30

d)

k = 30

e)

none (not proportional)

77.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
78.
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
79.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=3x

b)

y=7x

c)

y=5x

d)

y=14x

80.

What is the constant of proportionality? (Unit rate)

a)

2 swings / 1 day

b)

0.5 swings / 1 day

c)

4 swings / 1 day

d)

None of the above

81.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=8x

b)

y=9x

c)

y=7x

d)

y=56x

82.
What is the COP of this graph?
a)
4/3
b)
1
c)
4
d)
3/4
83.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

84.

Identify the constant of proportionality.

a)

k = 2

b)

k = 4

c)

k = 1/2

d)

k = 1/4

e)

none (not proportional)

85.

Which is proportional?

a)

12

b)

13

c)

15

d)

16

86.

Which has a constant of proportionality of 1/6?

a)

A

b)

B

c)

C

87.

How do you know if something is proportional?

a)

Same measurements

b)

Same spelling

c)

Same unit

d)

Same rate

88.

What is the constant of proportionality in the equation  y = 3.625x?

(a)  

89.

What is a unit rate?

a)

a comparison of two numbers with different quantities or units

b)

the ratio of two different units, with denominator as 1

c)

the ratio between two proportional quantities set up as y/x

d)

the ratio between two proportional quantities set up as x/y

90.

What is a rate?

a)

a comparison of two numbers with different quantities or units

b)

the ratio of two different units, with denominator as 1

c)

the ratio between two proportional quantities set up as y/x

d)

the ratio between two proportional quantities set up as x/y

91.

Is this table proportional?

a)

Yes, same constants of proportionality

b)

No, there are different constants of proportionality

92.

Is this table proportional?

a)

Yes, same constants of proportionality

b)

No, there are different constants of proportionality

93.

Which equation has a constant of proportionality equal to  1/2

a)

y = 2x

b)

y = 4x

c)

y = 3/6x

d)

y = 13/27x

94.

Which graph is proportional?

a)

Table 1

b)

Table 2

95.

Which equation has a constant of proportionality equal to  9?

a)

y = 81/3x

b)

y = 1/9x

c)

y = 3x

d)

y = 63/7x

96.

What is a constant of proportionality?

a)

a comparison of two numbers with different quantities or units

b)

the ratio of two different units, with denominator as 1

c)

the ratio between two proportional quantities set up as y/x

d)

the ratio between two proportional quantities set up as x/y

97.

What is the constant of proportionality in the equation  y = 2.5x?

(a)  

98.
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.
99.

The graph shows the relationship between mass of hamster food and the number of days it takes Gavin's hamster to eat it.

What does 30 mean in this situation?

a)

Gavin's hamster eats a gram of food every 30 days.

b)

Gavin feeds his hamster once every 30 days.

c)

Gavin's hamster eats 30 grams of food a day.

100.

Does this graph show a proportional relationship?

a)

Yes

b)

No

101.

What makes a graph proportional?

a)

A straight line (linear) that goes through the origin

b)

Linear (straight line), that does NOT go through the origin.

102.

What is the ordered pair that represents the unit rate?

a)

(2,30)

b)

(1,15)

c)

(15,1)

d)

(6,40)

103.

Does this graph show a proportional relationship?

a)

Sometimes

b)

Yes

c)

No

104.

 

Which graph shows a proportional relationship?

a)
b)
c)
d)
105.

What is another name for constant of proportionality?

a)

linear

b)

origin

c)

rate of division

d)

unit rate

106.

What is one of the things that make a GRAPH proportional?

a)

the numbers all line up

b)

constant rate

c)

the same unit rate

d)

goes through the origin

107.

What makes a TABLE proportional?

a)

linear

b)

constant rate

c)

goes through the origin

d)

the numbers all line up

108.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
109.

Choose all of the graphs that are proportional.

a)
b)
c)
d)
110.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
111.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
112.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
113.
If the diameter of a circle is 10 mm, the circumference is approximately ___
a)
314 mm
b)
3.14 mm
c)
31.4 mm
d)
20 mm
114.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?
a)
3 m 
b)
9.42 m
c)
12 m
d)
18.84 m
115.
Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?
a)
15.7 cm
b)
10 cm
c)
2.5 cm
d)
31.4 cm
116.
The diameter of a circle is:
a)
The measurement around the circle.
b)
The distance from an edge of a circle to another edge.
c)
The distance from the center of the circle to an edge of a circle
d)
The distance from an edge of a circle to another edge through the center. 
117.
The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?
a)
area
b)
circumference
c)
neither
118.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
119.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
120.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
121.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius

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