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7th-grade Midterm Exam Review - IM

Total questions: 100

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
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
2.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
3.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
4.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
5.
The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
6.
a)
0.25
b)
0.5
c)
2
d)
1/2
7.
A scale drawing that measures 8 units wide and an original that measures 4 units wide has a scale factor of...
a)
2:1
b)
8:1
c)
bigger
d)
1:2
8.
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
9.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
10.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

11.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
12.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
13.
The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.
a)
The table is not proportional because the unit rate is not constant.
b)
The table is proportional and the unit rate is 1/13
c)
The table is proportional and the unit rate is 13.
d)
The table is not proportional because it doesn't pass through the origin.
14.
Using the graph above, determine the constant of proportionality.
a)
k = 0
b)
k = 1
c)
k = 3
d)
k = 6
15.
Using the table above, determine which statement is correct.
a)
The table is proportional and the unit rate is 100.
b)
The table is not proportional because the unit rate is not constant.
c)
The table is not proportional because it doesn't pass through the origin.
d)
The table is proportional and the unit rate is 0.01.
16.
Determine which equation does NOT represent a proportional relationship.
a)
y = -2x
b)
y = 1/2 x
c)
y = 3x
d)
y = 5x - 7
17.
Using the table above, determine the equation of the line.
a)
y = 5x
b)
y = 10x
c)
y = 1/5 x
d)
y = 1/10 x
18.
The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above.  Which equation best models this data.
a)
c = .29p
b)
c = 3.5p
c)
p = .29c
d)
p = 3.5c
19.
The table shows the weight in pounds of objects on earth compared to objects on the moon.  If an object on earth weighs 42 lbs, what is its weight on the moon?
a)
7 lbs
b)
12 lbs
c)
84 lbs
d)
252 lbs
20.

Select all graphs that represent proportional relationships.

a)
b)
21.

Select all graphs that represent a proportional relationship.

a)
b)
22.

1. A parking lot has 3 cars and 12 trucks. Find the ratio of cars to trucks. Select all the true ratios.

a)

3 trucks : 12 cars.

b)

3 cars to 12 trucks

c)

3 cars12 trucks\frac{3\ cars}{12\ trucks}

d)

3 cars to 12 trucks

23.

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

24.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
25.

What is the constant of proportionality?

a)

X $3

b)

X $4

c)

X $2

d)

X $9

26.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
27.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
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.
What makes a graph proportional?
a)
Linear
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
30.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
31.

What is the constant of proportionality for this table?

a)

$1/9 per hour

b)

$9 per hour

c)

$8 per hour

d)

$18 per hour

32.

The definition of a circle is

a)

set of all points in a plain that are the same distance from a point called the center

b)

the distance around a share

c)

a large figure

d)

a pizza, orange, plum, or watermelon

33.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

34.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

35.

The definition of circumference is

a)

distance from the center of any point on the circle

b)

distance from one point to another

c)

distance around the circle

d)

distance from the center of any point on the circle

36.

what is the definition of pi


select ALL that apply

a)

it is the sixteenth letter in the greek alphabet

b)

it has a represented value of 3.14

c)

it has a represented value of 22/7.

d)

Its something you eat...

37.

what is the formula for finding diameter

a)

r = 2 d

b)

d = 2 r

c)

a = m c2

d)

c = π 2 r

38.

what is the formula for finding radius

a)

c = π d

b)

c = 2 π r

c)

d = r/2

d)

r = d/2

39.

what is the formula for finding circumference


select ALL that apply

a)

c = π d

b)

c = 2 π r

c)

d = 2 r

d)

r = d/2

40.

which segment above represents the diameter

a)

BC

b)

AC

c)

BD

d)

LM

41.

which segment above represents the radius

a)

AC

b)

AB

c)

LM

42.

Find the radius of the circle

a)

20 ft

b)

10 ft

c)

5.5 ft

d)

10

43.

find the diameter of the circle

a)

14 m

b)

7 m

c)

14

d)

3.5 m

44.

find the diameter of the circle

a)

1 ft

b)

4 ft

c)

4 mm

d)

2 ft

45.

find the radius of the circle

a)

3 m

b)

1.5 m

c)

1.5

d)

1.5 mm

46.

what is this shape called

a)

circle

b)

semi circle

c)

moon

d)

triangle

47.

what is the formula for finding area of a circle

a)

C = π r2

b)

A = π r2

c)

A = π r2 / 2

d)

C = 2 π r

48.

what is the formula for finding the area of a semi-circle

a)

A = π r2

b)

C = π r2

c)

A = π r2 / 2

d)

A = 2 π r

49.

what is the radius of the inner circle?

a)

12 in

b)

8 in

c)

8 ft

d)

4 in

50.
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
51.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
52.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
53.
  If you receive 25% off an item costing $22.00, how much money do you save?
a)
$ 5.50
b)
$ 4.25
c)
$6.00
d)
$7.35
54.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$841
c)
$58.43
d)
$905.50
55.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
a)
$6.28
b)
$33.59
c)
$21.03
56.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
57.
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
a)
40.50
b)
715.50
c)
6.00
d)
634.50
58.
In a video store, a DVD that sells for $15 is marked 10% off. What is the amount of discount?
a)
1.00
b)
1.50
c)
16.50
d)
13.50
59.
In a video store, a DVD that sells for $15 is marked 10% off. What is the amount of discount?
a)
1.00
b)
1.50
c)
16.50
d)
13.50
60.

Regular price: $174. Discount: 40%. Find the sale price. Round to nearest cent if necessary.

a)

$104.40

b)

$140.40

c)

104.4

d)

69.6

61.
Discount is ____________ from the price.
a)
added
b)
divided
c)
subtracted
d)
Mr. Ed is very old
62.
Find the total cost.  Dinner with tax included is $23.77; you leave a 10% tip.
a)
$ 2.38
b)
$ 2.37
c)
$ 26.15
d)
$ 21.39
63.
Angela spent $30.00 at a restaurant.  If she leaves a 15% tip, how much will her TOTAL BILL be? 
a)
30.00
b)
45.25
c)
$ 34.50
d)
35.65
64.
What is the total price of a book if Barnes and Nobles gets it for $4.25 and the markup is 30%?
a)
$55.25
b)
$1.28
c)
$5.53
d)
$4.38
65.
Gratuity is _______________ to the price.
a)
added
b)
subtracted
c)
multiplied
d)
Coach Ed is old
66.
Find the total cost.  $20 meal; 9% sales tax; 20% gratuity after the sales tax has been added
a)
$ 1.80
b)
$ 4.00
c)
$25.80
d)
$26.16
67.
A discounted price means the price has
a)
decreased
b)
increased
c)
stayed the same
68.

The bookstore normally sells mechanical pencils for $6.50. This week the pencils are discounted by 25%. To the nearest cent, what is the amount of discount selling price?

a)

$11.38

b)

$6.25

c)

$6.75

d)

$4.88

69.
A sports store near Big Bear Lake
is having a 20% off sale on all water skis. 
What will the sale price be for water ski’s that regularly sell for $248?
a)
$297.60
b)
$198.40
c)
$49.60
d)
$201.40
70.

In a library there are 120 new books. 35 books are fictions, 25 books are biography, and the rest are children books. What percentage of the new books are children books?

a)

45%

b)

70%

c)

30%

d)

50%

71.

What is 30% of 450?

a)

30

b)

135

c)

450

d)

100

72.
What percent of 25 is 60?
a)
24%
b)
2.4
c)
240%
d)
100%
73.

82% of what is 95?

a)

115.9

b)

77.9

c)

100

d)

112

74.

Jason spends $450 for transportation. This is 25% of his monthly salary . How much money did he earn each month?

a)

$1800

b)

$800

c)

$900

d)

$1000

75.

While mining, John found a large metal bar that weighed 25 ounces. John was also able to determine that the bar had 15 ounces of lead. What percent of the weight of the bar was lead?

a)

40%

b)

50%

c)

60%

d)

70%

76.

12.7% as a decimal

a)

127

b)

.127

c)

1.27

d)

.0127

77.
Change this decimal to a percent: 
0.52
a)
52%
b)
.52%
c)
5.2%
d)
.052%
78.
a)

40%

b)

70%

c)

60%

d)

50%

79.
a)

725%

b)

72.5%

c)

7.25%

d)

.725%

80.
a)

.75

b)

.34

c)

3.4

d)

.25

81.

What percent is represented by the illustration?

a)

96%

b)

40%

c)

30%

d)

4%

82.

What percent is modeled by the illustration?

a)

96%

b)

40%

c)

30%

d)

4%

83.

What is one slice of pie equal to?

a)

10%

b)

20%

c)

40%

d)

60%

84.

Renata wants to save 40% of her allowance each week. Which decimal is equivalent to 40%?

a)

0.40

b)

0.040

c)

4.00

d)

40.00

85.

At the skate park, 14 out of 21 skaters can do an ollie. Which of these represents the fraction of skaters that can do an ollie?

a)

3/4

b)

2/3

c)

1/2

d)

5/6

86.

Christine plays softball, she gets a hit about 25% of the time. Write this as a fraction.

a)

1/4

b)

2/5

c)

1/35

d)

7/20

87.

A survey of 400 students was taken to vote on a school color. The circle graph below shows the results of the survey. What is the number of students that

voted for red?

a)

16

b)

64

c)

384

d)

400

88.

Convert 1/3 to a percent. (Include the % sign)

a)

3%

b)

33.333%

c)

30%

89.

Convert 1/2 to a decimal.

a)

0.5

b)

0.50

c)

0.20

d)

0.25

90.

Convert 2/3 to a decimal.

a)

0.23

b)

0.33

c)

0.66

91.

Convert 1/4 to a percent.

a)

40%

b)

25%

c)

14%

92.

Convert 3/10 to a decimal.

a)

0.03

b)

0.3

c)

0.31

93.

Convert 8/10 to a percent.

a)

80%

b)

8%

c)

18%

94.

Convert 1/5 to a percent.

a)

15%

b)

5%

c)

20%

95.

Convert 60% to a fraction.

a)

60/100

b)

6/100

c)

6/10

96.

Convert 3/5 to a decimal.

a)

0.3

b)

0.5

c)

0.35

d)

0.6

97.

12.7% as a decimal

a)

127

b)

.127

c)

1.27

d)

.0127

98.

A store had 2 blue chairs for $22.78 or 6 red chairs for $67.80. Which color chair has the lower unit price?

a)

2 blue chairs for $22.78

b)

6 red chairs for $67.80

99.

A video game store was selling games 5 for $102.05. What would be the cost for 3 games?

a)

$20.41

b)

$61.23

c)

$35.00

d)

$15.00

100.

A store sold 4 packs of paper for $7.44. How much would it cost if you bought 5 packs?

a)

$5.95

b)

$1.49

c)

$1.86

d)

$9.30