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Unit 1, Unit 2, and Unit 3 Review (Open Up Math, 7th Grade)

Total questions: 57

Worksheet time: 2hrs 38mins

Name
Class
Date
1.

What three-dimensional figure can be assembled from this net?

a)

Triangular prism

b)

Triangular pyramid

c)

Square prism

d)

Square pyramid

2.

Which of these shows a proportional relationship?

a)
b)
c)
d)
3.

Which of these shows a proportional relationship?

a)

y=3x+4

b)

y=3x

c)

y=x/3-4

d)

y=x -4

4.

What is the constant of proportionality?

a)

10

b)

1

c)

2

d)

3

5.

What is the constant of proportionality?

a)

1.5

b)

2/3

c)

10

d)

15

6.

What is the missing value?

a)

1

b)

30

c)

1.5

d)

15

7.

What equation represents this situation? Justin runs at a constant rate, traveling 17 km in 2 hours.

a)

y=17x

b)

y=2x

c)

y=34x

d)

y=8.5x

8.

Which has a constant of proportionality of 3?

a)

A

b)

B

c)

C

d)

NONE

9.

Which has a larger constant of proportionality?

a)

A

b)

B

c)

C

10.

What is the constant of proportionality?

a)

3

b)

4

c)

4/3

d)

3/4

11.

How do you find the contstant of proportionality? SELECT ALL THAT APPLY

a)

y/x

b)

(1,k)

c)

(x,y)

d)

x/y

12.
What makes a graph proportional?
a)
Straight Line
b)
The line goes through (0,0)
c)
Curvy line
d)
Straight line and passes through (0,0)
13.
Is this table proportional?
a)
yes
b)
no
c)
I'm not sure, I need extra help!
14.
What is the constant of proportionality?
a)
15
b)
5
c)
75
d)
25
15.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
16.

Which has the smallest constant of proportionality?

a)

1

b)

2

c)

3

d)

4

e)

5

17.

What is the constant of proportionality?

a)

2

b)

50

c)

25

d)

1

18.

Fill in the missing value

a)

5

b)

3

c)

1

d)

0

19.

Fill in the missing value.

a)

4

b)

1/4

c)

80

d)

5

20.

Which equation represents this proportional relationship? SELECT ALL THAT APPLY

a)

b=120a

b)

a=120b

c)

a=b/120

d)

a=b

e)

b=120/a

21.

Which represents the equation y = 2x

a)

1

b)

2

c)

3

d)

4

e)

5

22.

Figure B is a scaled copy of figure A. What is the scale factor from figure A to B?

a)

2

b)

12\frac{1}{2}

c)

4

d)

14\frac{1}{4}

23.

Figure B is a scaled copy of figure A. What is the scale factor from figure A to B?

a)

2

b)

12\frac{1}{2}

c)

4

d)

14\frac{1}{4}

24.

A scale factor of 2.5 has been applied to the first figure. What is the value of x?

a)

2

b)

2.5

c)

5

d)

5.5

25.

A scale factor of .25 or 1/4 has been applied to the first figure. What is the value of x?

 

a)

2

b)

 12\frac{1}{2}  

c)

4

d)

 14\frac{1}{4}  

26.
a)

2

b)

4

c)

6

d)

90

27.
a)

4

b)

8

c)

32

d)

2

28.
a)

4

b)

8

c)

32

d)

2

29.
a)

1.4

b)

15

c)

10

d)

7

30.

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

a)

14 in

b)

7 in

c)

42 in

d)

56 in

31.
A model of a planned baseball stadium is 2 ft wide. The scale for the model is 1 foot = 100 yards. What is the width of the actual stadium?
a)
20 yards
b)
2 yards
c)
200 yards
d)
2000 yards
32.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
33.
Jessica is visiting Mexico and doesn't know her Spanish numbers. On the map she is 2 inches away from her destination. From the road sign ahead she knows that she is 8 miles away from her destination. What is the scale the map is using?
1 inch = ______ miles
a)
4
b)
16
c)
2
d)
10
34.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

35.

Jamie made a scale drawing of his apartment building. The building is 300 ft tall. He wants his scale to be 1 to 120. How tall should his building be in his scale drawing?

a)

25 inches

b)

60 inches

c)

1/30 inch

d)

30 inches

36.

What is the scale factor if the triangle on the left is the original?

a)

2

b)

3/2

c)

2/3

d)

1/2

37.
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
38.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
39.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
40.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
41.
What is the circumference?
a)
48
b)
96
c)
24
d)
18
42.
What is the radius?
a)
18
b)
72
c)
38
d)
14
43.
What is the circumference?
a)
36
b)
18pi
c)
108pi
d)
36pi
44.
Daniel wants to buy cookies for her friend. The radius of a cookie is 5 inches. What is the cookie’s circumference?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in 
45.
Cynthia wants to buy a round photo frame for her brother. The radius of the photo frame is 9 cm. What is the photo frame’s diameter?
a)
28.26 cm
b)
56.52 cm
c)
4.5 cm
d)
18 cm
46.
A circular swimming pool is 21 feet in diameter. What is the circumference of the pool?
a)
10.5 ft
b)
42 ft
c)
65.97 ft
d)
131.95 ft
47.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
48.
What is the circumference of this circle?
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
49.
Find the circumference of a circle with a diameter of 11 millimeters.
a)
34.6 mm
b)
30 mm
c)
25.3 mm
d)
34.54 cm
50.
Find the circumference of a circle with a diameter of 11 millimeters.
a)
34.6 mm
b)
30 mm
c)
25.3 mm
d)
34.54 cm
51.
Find the circumference of a circle with a radius of 12.5 mm.
a)
37.68mm
b)
18.84mm
c)
78.54mm
d)
none of the above
52.
What is the circumference of a circle with a diameter of 19.1 ft? 
a)
60.00 ft
b)
35.17 ft
c)
28.67 ft
d)
47.17 ft
53.
Jacob is painting a circular picture on his wall.  If the painting has a diameter of 4 ft, how much paint will he need to cover the inside of the circle?  Is this question asking you to find the area, circumference, or neither?
a)
area
b)
circumference
c)
neither
54.
A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?
a)
314 in2
b)
31.4 in2
c)
7.85 in2
d)
78.5 in2
55.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
56.
Marisa purchases a pot for her father's garden. The diameter of the bottom of the pot is 18 cm. What is the area of the pot's bottom? (Round to the nearest whole number.)
a)
28 cm²
b)
57 cm²
c)
254 cm²
d)
1017 cm²
57.
The largest cookie ever baked measured a radius of 51 feet.  Which of these is the closest to the area of the cookie?  
a)
2601 ft²
b)
8167 ft²
c)
2042 ft²
d)
162 ft²