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7th Grade Review

Total questions: 99

Worksheet time: 7hrs 44mins

Name
Class
Date
1.

What is the total distance around a figure called?

a)

Area

b)

Perimeter

c)

Volume

d)

Surface area

2.
2d + 7 = 9 
a)
1
b)
7
c)
4
d)
3
3.
11 = 3z + 5
a)
2
b)
6
c)
1
d)
4
4.

4x + 6 + 3 = 174x\ +\ 6\ +\ 3\ =\ 17  

a)

x = 6.5x\ =\ 6.5  

b)

x = −6.5x\ =\ -6.5  

c)

x = −2x\ =\ -2  

d)

x =2x\ =2  

5.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
6.
a)
41°
b)
65°
c)
102°
d)
115°
7.

If the  m∠5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  ∠3.\angle3.  

a)

63°63\degree  

b)

117°117\degree  

c)

180°180\degree  

d)

Cannot be determined

8.
(15 ÷ 3)2 + 9 ÷ 3
a)
11.3
b)
28
c)
13
9.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

Use the variable n to represent the unknown number.

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

10.
2(2x + 1) + 8x - 3
a)
12x -1
b)
12x - 5
c)
12x + 1
d)
12x + 6
11.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
12.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
13.

Find the surface area of the triangular prism.

a)

356 in2

b)

348 in2

c)

336 in2

d)

340 in2

14.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
C = π d
d)
C = 2 π d
15.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
16.
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
17.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
18.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the 
bowl?
a)
28 cm
b)
43.96 cm
c)
87.96 cm
d)
7 cm
19.
Calculate the volume. 
a)
 90 cm³
b)
150 cm³
c)
180 cm³
20.
Find the volume
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
21.
Find the volume of the prism.
a)
27 cm3
b)
72 cm3
c)
180 cm3
d)
360 cm3
22.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
23.

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

a)

12 outfits

b)

22 outfits

c)

3 outfits

d)

7 outfits

24.

Which tree diagram has the most possible outcomes?

a)
b)
c)
25.

Jon made 15 out of 35 free throws.

What is his experimental probability as a fraction?


**SIMPLIFY THE FRACTION!**

a)

3/7

b)

15/35

c)

1/2

d)

5/7

26.

Sarah hit the ball 3 times out of the 8 times.

What is the experimental probability (as a percent) that she will hit the ball next?

a)

22.5%

b)

37.5%

c)

45%

d)

3%

27.

What is the probability of spinning a red?

a)

1/5

b)

2/5

c)

1/2

d)

1/4

28.
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)
$840.00
c)
$58.44
d)
$840.57
29.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
30.
Eliza bought a meal that cost $12.00. She tipped the waiter 25% of that amount. How much was the tip?
a)
$ 15.00
b)
$ 12.25
c)
$3.00
d)
$4.00
31.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket?  (Hint- you're finding the sale price)
a)
75
b)
51
c)
36
d)
34
32.
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
a)
33.60
b)
40.00
c)
24.60
d)
30.50
33.

Daniel works at a nearby electronics store. He makes a commission of 15% on everything he sells. If he sells a laptop for $293, how much money does Daniel make in commission?

a)

$43.96

b)

$249.50

c)

$43.95

d)

$24.95

34.

The owner of a city parking garage uses a rate table so that he can look up the parking charges quickly.

What is the charge for 11/2 hours?

a)

$5.00

b)

$6.75

c)

$5.25

d)

$7.50

35.

Which statement about this graph IS NOT true?

a)

The graph compares the ratio of the charged amount to the number of hours.

b)

At 4 hours, the charged amount is $16.

c)

The graph creates a straight line that increases every hour.

d)

At 2 hours, the charged amount is greater than $5.50.

36.

The owner of a skating rink uses a rate table so that he can look up charges quickly.

How many hours did Jonah skate if he paid $45.50?

a)

8 hours

b)

6 hours

c)

5 hours

d)

7 hours

37.
Find the unit rate of one diaper if a box of 35 diapers costs $6.99.
a)
$244.65
b)
$1.00
c)
$6.99
d)
$0.20
38.
a)
52
b)
26
c)
208
d)
2
39.
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent of change?
a)
24%
b)
20%
c)
11%
d)
50%
40.
Last week, you finished level 2 of a video game in 32 minutes. Today, you finished level 2 in 28 minutes. What is your percent of change?
a)
Increase 12.5%
b)
Decrease 12.5%
c)
Increase 4%
d)
Decrease 4%
41.

A group of wildlife conservationists are trying to determine what is causing a recent decrease in the number of white-tail deer in a particular area. Two years ago, they estimated the population to be 680. Recently, the population was estimated to be 410. Which is closest to the percent of change in the white-tail deer population?

a)

40%

b)

66%

c)

270%

d)

54%

42.

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

a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
43.

What is the constant of proportionality?

a)

2 swings / 1 day

b)

0.5 swings / 1 day

c)

4 swings / 1 day

d)

None of the above

44.

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality in dollars per hour? 

a)

$37 / hour

b)

$64.75 / hour

c)

$9.25 / hour

d)

$18.50 / hour

45.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

46.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
47.
5 - (-12)
a)
-7
b)
7
c)
17
d)
-17
48.
Multiply
(5) • (–9) • (–2)
a)
90
b)
-45
c)
-90
d)
47
49.
Evaluate:
−30÷2
a)
−15
b)
15
c)
10
d)
−10
50.
The temperature at 6:00 was 9 degrees below zero.  The temperature dropped to 11 degrees below zero at 8:00. What is the difference between temperatures? 
a)
18 degrees
b)
20 degrees
c)
2 degrees
d)
0 degrees
51.
A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level.  How many feet did she descend?
a)
523 feet
b)
543 feet
c)
0 feet
d)
500 feet
52.
A girl is snorkeling 1 meter below sea level and the dives down another 0.5 meters.  How far below sea level is the girl?
a)
1.5 meters above sea level
b)
1.5 meters below sea leves
c)
0.5 meters above sea level
d)
0.5 meters below sea level
53.
The first play of a football game resulted in a loss of 12 yards.  Then a penalty resulted in another loss of 5 yards.  What is the total loss or gain?
a)
a gain of 7 yards
b)
a loss of 7 yards
c)
a gain of 17 yards 
d)
a loss of 17 yards
54.
On a number line, what is the distance between -16 and 76? 
a)
-60 units
b)
-92 units
c)
60 units
d)
92 units
55.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
56.
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
a)
28 feet
b)
-28 feet
c)
52 feet
d)
-52 feet
57.
5/12 x 8/15.
Express your answer in lowest terms.
a)
40/180
b)
8/36
c)
2/9
d)
4/18
58.
a)
13/3
b)
13/27
c)
9/39
d)
3/13
59.
a)
9/12
b)
9/14
c)
7/8
d)
6/24
60.
Divide these fractions
a)
8 / 9
b)
2 / 1
c)
6 / 6
d)
.333 / .75
61.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
62.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

63.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.  P(green, black)
a)
3/20
b)
1/4
c)
3/31
d)
2/27
64.
You roll a pair of number cubes (dice). Which equation represents how to find the probability of rolling a 2 and an odd number?
P(2, then odd)
a)
⅙ x ½ = 1/12
b)
⅙ + ½ = 2/8
c)
 ½ x ½ = 1/4
d)
⅓ + ½ = 5/6
65.
A compound event is..
a)
an event that directly causes another
b)
the probability of all the outcomes
c)
1 event that creates 2 results
d)
when 2 or  more independent events work together
66.

What is sample space?

a)

a process with an uncertain result

b)

a possible result of an action

c)

a list of all possible outcomes of an event

d)

a single outcome or group of outcomes

67.
If you were to roll the die one time what is the probability of it landing on a 2?
a)
2 out of 6
b)
2 out of 2
c)
1 out of 6
d)
1 out of 1
68.

The spinner is spun two times. Determine the probability of getting a red green combo.

a)

1/9

b)

1/10

c)

2/9

d)

1/12

69.

A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?

a)

17/26

b)

1/8

c)

5/13

d)

1/6

70.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
71.
A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. Mrs. Grow picks one marble, replaces it, then picks another. What is the probability of them both being blue?
P(blue and blue) 
a)
1/25
b)
1/5
c)
1/20
d)
2/5
72.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
73.
If you spin twice, what is the probability the spinner stops on a shaded then striped number?
a)
40%
b)
50%
c)
12%
d)
25%
74.
What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?
a)
1/4
b)
1
c)
1/8
d)
1/2
75.
a)
1/2
b)
1/8
c)
1/3
d)
1/12
76.
The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?
a)
12
b)
8
c)
15
d)
6
77.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

78.

Match the graph with its inequality.

a)

a < 11

b)

a > 11

c)

a ≤ 11

d)

a ≥ 11

79.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
80.
Calculate the interest.  I = PRT,
Principal = $10000,
Rate = 7%,
Time = 20 years

a)
1400
b)
1000
c)
14000
d)
14
81.
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
82.

Bob has a loan of $50,000. This loan has a simple interest rate of 5% per year. What is the amount of interest Bob will be charged on this loan at the end of one year?

a)

$45,580

b)

$11,395

c)

$2,500

d)

$3,000

83.
Choose the set of lengths that can not be used to form a triangle.
a)
3 in., 5 in., 4 in.
b)
5 in., 5 in., 9 in
c)
2 in., 5 in., 3 in.
d)
14 in., 5 in., 10 in.
84.
x-3y > 2
 If y = 7, solve the inequality
a)
x>23
b)
x>31
c)
x>3y
d)
x>27
85.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
86.
What kind of angle
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
87.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
88.
Describe the cross section.
a)
triangle
b)
rectangle
c)
trapezoid
d)
square
89.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
90.
a)
205
b)
105
c)
230
d)
135
91.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
92.
What is the measure of angle b
a)
146
b)
34
c)
36
d)
136
93.

Using the Triangle Inequality Theorem, determine if the measurements given form a triangle.

a)

Yes they form a Triangle (all equations are true/correct)

b)

No triangle is formed (at lease one equation is false/incorrect)

94.

Using the Triangle Inequality Theorem, determine if the measurements given form a triangle.

a)

Yes they form a Triangle (all equations are true/correct)

b)

No triangle is formed (at lease one equation is false/incorrect)

95.

Does the sides 8, 9, 10 make a triangle?

a)

yes

b)

no

96.

Does the sides 8, 7, 2 make a triangle?

a)

yes

b)

no

97.

The lengths of two sides are given (8, 5). What are the possible length of the third side? Between what two numbers

a)

Between 5 and 8

b)

Between 3 and 13

c)

Between 3 and 5

d)

Between 5 and 13

98.

The lengths of two sides are given (9, 2). What are the possible length of the third side? Between what two numbers

a)

Between 0 and 2

b)

Between 2 and 9

c)

Between 7 and 11

99.

Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: 3ft, 7ft, and 8ft. Can she build a closed triangular pen with these three boards? (Will these three sides make a triangle?)

a)

Yes

b)

No

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