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Math 7 - Fall Semester - Final Exam Review

Total questions: 60

Worksheet time: 3hrs 38mins

Name
Class
Date
1.

A circular garden has a radius of 8 feet. How much fencing is required to enclose it?

a)

50.24 feet

b)

25.12 feet

c)

16 feet

d)

32 feet

2.

What is the name of the set of all points in a plane that are exactly 5 inches away from Point Q?

a)

Circle Q with radius 5 inches

b)

Circle Q with diameter 5 inches

c)

Circle Q with radius 10 inches

d)

A sphere with center Q and radius 5 inches

3.

A circle with radius 16 feet is inscribed in a square. Which is the area of the shaded region?

a)

804.25 square feet

b)

1024 square feet

c)

822.94 square feet

d)

220.16 square feet

4.

A circular garden has a circumference of 62.8 inches. What is the diameter of the garden?

a)

20 inches

b)

31.4 inches

c)

25 inches

d)

40 inches

5.

A circular garden has a radius of 18 inches. If the garden costs $162 to maintain, what is the maintenance cost per square inch?

a)

$0.10

b)

$0.16

c)

$0.32

d)

$0.50

6.

A tank contains 8,250 1/2 gallons of juice. Maria wants to find out how many liters this is. Which proportion could she use to solve for the number of liters? (1 gal = 3.79 L)

a)

1 L / 0.26 gal = 8,250 1/2 gal / x L

b)

0.26 gal / 1 L = 8,250 1/2 gal / x L

c)

3.79 L / 1 gal = 8,250 1/2 gal / x L

d)

1 gal / 3.79 gal = 8,250 1/2 gal / x L

7.

The number of pages Jamie writes varies directly with time in minutes. She can write 20 pages in 80 minutes. What is the constant of proportionality for the number of minutes to write 1 page?

a)

44

b)

22

c)

5

d)

3

8.

The Martinez family’s dinner bill comes to $85.50. If they decide to tip their server 18% of the bill, what is their total bill including the tip?

a)

$100.89

b)

$103.29

c)

$101.89

d)

$104.89

9.

At Mountain Gear Supplies, all products are priced to ensure a profit. Hiking boots cost $48 from the supplier and are sold for $72. What is the percent increase on hiking boots, to the nearest whole percent?

a)

33%

b)

50%

c)

67%

d)

75%

10.

A smartwatch is regularly priced at $180.00. Ben buys it during a sale where he gets 30% off the regular price. How much does Ben pay?

a)

$126.00

b)

$54.00

c)

$150.00

d)

$174.00

11.

Michael invests $500 in a savings account that earns simple interest at a rate of 3% per year. He plans to use the interest earned to buy a new smartphone. Which price smartphone could Michael afford at the end of 4 years? Select all that apply.

a)

$45

b)

$60

c)

$100

d)

$500

e)

$200

12.

A pair of shoes is originally priced at $150.00. The store is having a 25% off sale. What is the price of the shoes after the discount?

a)

$112.50

b)

$125.00

c)

$37.50

d)

$100.00

13.

Sarah wants to enclose a circular garden with a fence. If the garden has a radius of 10 feet, what is the length of fencing needed?

a)

100 feet

b)

31.4 feet

c)

62.8 feet

d)

20 feet

14.

The price of a meal before tax is $56.00. If the sales tax rate is 7%, what is the total cost of the meal including tax?

a)

$59.92

b)

$60.00

c)

$62.92

d)

$63.00

15.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
16.

Find the unit rate:

23\frac{2}{3}  pound for every 14\frac{1}{4}  tablespoon

a)

2 232\ \frac{2}{3}  pounds per teaspoon

b)

2 232\ \frac{2}{3}  teaspoons per pound

c)

38\frac{3}{8}  pounds per teaspoon

d)

38\frac{3}{8}  teaspoons per pound

17.

Using the graph, find the unit rate.

a)

$1.50 per pound

b)

$4.00 per pound

c)

$6.00 per pound

d)

$12.00 per pound

18.
Is this graph proportional?
a)
Yes
b)
No
19.
What does a proportional relationship look like on a graph?
a)
A straight line that passes through the origin, (0,0).
b)
A line that does not pass through the origin , (0,0).
20.
Identify whether the graph represents a  proportional or non-proportional relationship.
a)
Proportional Relationship
b)
Non-Proportional Relationship
21.
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
22.
Is this table proportional?
a)
Yes
b)
No
23.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
24.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
25.
A car travels 120 miles in 3 hours (with a constant speed).  How long will it take a car to travel 200 miles?
a)
6 hours
b)
5 hours
c)
4 hours
d)
1 hour
26.
It takes Mike 18 minutes to finish reading 4 pages of a book.  If Mike reads each page at the same pace, how long does it take for him to finish reading 30 pages?
a)
125 minutes
b)
162 minutes
c)
72 minutes
d)
135 minutes
27.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
28.

What is the formula for finding the area of a circle?

a)

A = π·d

b)

C = 2·π·r

c)

A = π·r2

d)

C = π·d

29.

What does r represent in the formula:

A = π·r2

a)

circumference

b)

radius

c)

diameter

d)

squared

30.

Find the area of the circle.

a)

18.84 m2

b)

113.04 m2

c)

37.68 m2

d)

452.16 m2

31.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
32.

What is the circumference of the circle? (Circumference = pi x diamter)

a)

52.56

b)

21.25

c)

18.84

d)

6.28

33.
a)

12.56

b)

64

c)

34.24

d)

13.76

34.
a)
122.46 mi2
b)
122. 45 mi2
c)
175.84 mi2
d)
175.85 mi2
35.

What is the approximate area of the shaded region? (Round to the nearest whole number)

(a)  

36.

What is the equation for the XY Chart shown?

a)

y=5/4x

b)

y=4/5x

c)

y=8/10x

d)

y=7x

37.

Write the equation that shows the relationship between the gallons, g, and t the time.

a)

g = 1t

b)

t = 1g

c)

t = 5g

d)

g = 5t

38.

Brooke earned $34 for 4 hours of work, h. Write an equation showing the relationship between hours, h, and t, the total amount earned.

a)

h = 34t

b)

t= 8.5h

c)

h= 4t

d)

t= 4h

39.

What does k stand for in the equation

y = kx

a)

constant of proportionality

b)

5

c)

price per ounce

d)

proportional relationship

40.

How do you find k?

a)

xy\frac{x}{y}  

b)

yx\frac{y}{x}  

c)

x⋅yx\cdot y  

d)

y(x)y\left(x\right)   

41.
What is the equation for the graph?
a)
y=46x
b)
k=46
c)
y=92x
d)
x=92y
42.

Solve for n
18n = 7218n\ =\ 72  

a)

n = 2

b)

n = 3

c)

n = 4

43.

Solve for n
40n = 8040n\ =\ 80  

a)

n = 1

b)

n = 2

c)

n =3

44.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
45.

Juliana walks every Sunday for 4 hours and burns a 465 calories. Find the unit rate.

a)

116 calories per hour

b)

86 calories per hour

c)

0.0086 calories per hour

d)

116.25 calories per hour

46.

What is line segment XY?

a)

Diameter

b)

Radius

c)

Center

d)

Chord

47.

What is line segment UV?

a)

Diameter

b)

Radius

c)

Center

d)

Chord

48.

What is point O?

a)

Diameter

b)

Radius

c)

Center

d)

Chord

49.

What is line segment GH?

a)

Diameter

b)

Radius

c)

Center

d)

Chord

50.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
51.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

52.

A circle has a circumference of 31.4 cm. What is its radius? (Use π = 3.14)

a)

20

b)

10

c)

5

d)

15

53.

A circle has a circumference of 18.84 cm. What is its diameter? (Use π = 3.14)

a)

6 cm

b)

12 cm

c)

9 cm

d)

3 cm

54.

If the circumference of a circle is 62.8 cm, what is its diameter? (Use π = 3.14)

a)

15 cm

b)

20 cm

c)

30 cm

d)

25 cm

55.

The diagram below shows the dimensions of Mrs. Prothro’s new swimming pool. A cover is needed for the pool, what will be the approximate area of the cover?

a)

720 ft2

b)

580.92 ft2

c)

592.83 ft2

d)

238.5 ft2

56.

Mrs. West taught 120 science students last year. Of these, 25% earned an A in her class. How many students earned an A?

a)

95

b)

60

c)

30

d)

25

57.

Joe answered 17 out of 20 questions correctly on his test. What percent of the questions did Joe answer correctly?

a)

17%

b)

57%

c)

85%

d)

96%

58.

Charlie sold a car for $7800. If he earned 12% of the selling price as profit, how much profit did Charlie earn?

a)

$650

b)

$936

c)

$6600

d)

$7788

59.
Maria borrowed $3,000 at a simple interest rate of 4% per year.  How much did she have to repay after 4 years?
a)
$480
b)
$3,480
c)
$4,800
d)
$7,800
60.
Calculate the interest earned on a $4,500 savings account that earns 2.5% simple interest over three years.
a)
$338.00
b)
$33.80
c)
$33.75
d)
$337.50

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