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7th Grade Math Review

Total questions: 87

Worksheet time: 6hrs 13mins

Name
Class
Date
1.

Which of the following are scaled copies of the original portrait? Select ALL the apply.

a)

A

b)

B

c)

C

d)

D

e)

E

2.

Which of the following is a scaled copy of figure A?

a)

B

b)

C

c)

D

3.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

4.

Identify the side length in Figure 1 that corresponds to the side length MQ in figure 2.

a)

BC

b)

AE

c)

CD

d)

DE

5.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

6.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

7.
What is the scale factor?
a)
4
b)
.25
c)
5
d)
6
8.

If the scale factor is 4, what is the measurement of slide length x?

a)

21

b)

1.25

c)

20

9.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

10.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
11.
What is the Constant of Proportionality?
a)
k=46
b)
k=92
c)
k=0.2
d)
not proportional
12.
Mason ran 3 miles in 20 minutes. What is his unit rate of miles per hour?
a)
400 miles per hour
b)
9 miles per hour
c)
20 miles per hour
d)
6.67 miles per hour
13.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
14.
Is this table proportional?
a)
Yes
b)
No
15.
Which equation matches the given graph?
a)
y=0.45x
b)
y = 2/5x
c)
y = 4x
d)
k = ¼
16.
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
17.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
C = 2π15
c)
c = 15 ÷ π
d)
c = 15 π
18.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
19.
what is the area of this semicircle ?
a)
100.48cm2
b)
80cm2
c)
200.96cm2
d)
none of the above
20.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.
a)
4 in.
b)
8 in.
c)
12 in.
d)
16 in.
21.
Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden edging that costs $0.75 per foot. About how much will the edging cost? 
a)
$8.00
b)
$7.00
c)
$3.50
d)
$0.50
22.
What is the area of the yellow?
a)
78.5 mi2
b)
19.625 mi2
c)
39.25 mi2
d)
31.4 mi2
23.
 A glass stained window is shaped like a semicircle. The bottom edge of the window is 36 inches long. How much colored glass would you need to cover the stained window? Round to the nearest hundredth.
a)
1017.36 in2
b)
508.68 in2
c)
56.52 in
d)
113.04 in
24.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the distance around the bowl?
a)
21.98 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
25.

Candy bars have increased in price by 60% in recent years. If today's price is about $1.28, how much was the original price of the candy bars before the increase?

a)

$0.68

b)

$0.80

c)

$1.88

d)

$2.04

26.
Gimme a break,
gimme a break,
break me off a piece of that ___________.
a)
Kit Kat Bar
b)
Baby Ruth Bar
c)
Klondike Bar
d)
Almond Joy Bar
27.
WHO IS THIS
a)
big sean
b)
xxxtentacion
c)
Jay-z
d)
ugly god
28.

Dante wants to buy a scooter that usually sells for $79.99. The store is having a sale and all merchandise is discounted by 15%.

What is the total cost of the scooter after he pays 7% sales tax?

a)

$72.75

b)

$67.99

c)

$74.99

d)

$98.43

29.

Yadiel earns a weekly salary of $420.00 and a commission of 7.5% on sales at the clothing store where he works. How much would he earn if he sells $1400 worth of merchandise?

a)

$1,849.40

b)

$31.50

c)

$525

d)

$451.50

30.

Nerlande earns a weekly salary of $320.00 plus a commission of 9.5% on sales at the clothing store where she works. How much would she earn if she sells $1500 worth of merchandise?

a)

$462.50

b)

$350.40

c)

$1,821.60

d)

$142.50

31.

A pet store purchases dog collars for $6 per dog collar. The store marked up the price of the dog collars by 35%. What is the cost of one dog collar?

a)

$7.90

b)

$2.10

c)

$41.00

d)

$8.10

32.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
33.
A new cable TV station wants to study the viewing habits of households.  The station surveys every household that purchased a new TV within the last 2 years in New York.  Is this random sampling?
a)
Yes
b)
No
34.
A poll is taken from 100 seniors in a high school where the senior class has 575 students.
a)
Sample
b)
Population
35.
If a cat eats 4 pounds of food in 5 days, how, how many pounds will it eat in 60 days?
a)
50
b)
48
c)
12
d)
72
36.
At a middle school, the 7th graders will conduct a survey for where to go on a field trip. Which method will result in the least biased decision?
a)
to randomly ask 8th grade students who went on a field trip last year
b)
to randomly choose some 7th grade students to select a location
c)
to ask all 7th grade teachers and administrators for a location
d)
to ask the student council to choose a location
37.
What is the mode in the set of data?
2,2,2,4,4,5,6,6,6,7
a)
2
b)
6
c)
2 and 6
d)
2,4, and 6
38.
Choose an expression that is equivalent to the following
6n + 2(3 - 5n)
a)
n + 6
b)
6 - 4n
c)
16n + 6
39.
Given an equilateral triangle with a side length of 4 + 2y. Find the perimeter.
a)
(4 + 2y)/ 3
b)
4/3  +2y/3
c)
3(4 + 2y)
40.
a)
-3m + 36
b)
-9m + 36
c)
3m + 36
41.
-12x > 36
a)
x > -3
b)
x > 48
c)
x < -3
42.
Simplify - ( - 12y + 8)
a)
12y + 8
b)
12y - 8
c)
-12y - 8
43.
- 3( 4 - 2x) = 6
a)
x = 1
b)
x = -3 
c)
x = 3
44.

Solve 4x + 5 - x = 29

a)

6

b)

9

c)

8

d)

-7

45.

Solve -2(x + 3) - 5 = 11

a)

-11

b)

11

c)

2

d)

-2

46.

Solve 5x + 7 = -13

a)

4

b)

5

c)

-4

d)

-5

47.

Solve -11 + 3(b + 5) = 7

a)

-1

b)

3

c)

1

d)

-3

48.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
49.
Find the Volume of the given figure.
a)
30 ft3
b)
36 ft3
c)
96 ft3
d)
11 ft3
50.
A rectangular prism has a length of 6 cm, and a width of 7 cm.  The volume of the rectangular prism is 210 cubic cm.  What is the height?
a)
5
b)
42
c)
13
d)
21
51.
Mario was packing juice boxes into his lunchbox.  His lunchbox can hold 144 in3.  If the juice boxes measure 3 in x 2 in x 3 in, how many boxes can he fit in his lunchbox?
a)
12
b)
8
c)
18
d)
288
52.
How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 
a)
108 cm2
b)
324 cm2
c)
180 cm2
d)
432 cm2
53.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
54.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
55.
The Toblerone candy come in a package like the triangular prism. The bases of the triangles are 2 inches with a height of 2.5 inches. The faces are 10 inches in length. 
What is the volume of the package? 
a)
25 cubic in.
b)
8 1/3 cubic in.
c)
50 cubic in.
d)
12.5 cubic in. 
56.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
57.
Daniel builds a concrete patio that is 6 in thick, 12 ft. wide, and 20 ft. long.  The premix concrete cost $2 per cubic foot.  How much did the concrete cost?
a)
$120
b)
$240
c)
$480
58.
The rectangular pyramid below has a height of 9 cm.  What is the volume of the rectangular pyramid?
a)
360
b)
180
c)
120
59.
A triangular prism is shown below.What is the surface area of the triangular prism?
a)
580 ft^2
b)
640 ft^2
c)
840 ft ^2
d)
960 ft^2
60.
What is the volume of the triangular prism below?
a)
156 cm cubed
b)
195 cm cubed
c)
312 cm cubed
61.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
62.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
63.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
64.
Reid picks a card at random. Without putting the first card back, he picks a second card at random.
a)
Dependent
b)
Independent
65.
Allie downloads a song from an online service. A few minutes later, a customer in another city searches for a song on the same site.
a)
Dependent
b)
Independent
66.
While standing outside of the school waiting to go home, you notice that 3 out of every 12 students leaving school are on their cell phones.  What is the probability that the next student leaving school will NOT be on his or her cell phone?
a)
25%
b)
30%
c)
75%
d)
70%
67.
On Saturday, 20 out of 80 thirteen year olds slept past 9 AM.  What percent slept past 9 AM?
a)
25%
b)
30%
c)
40%
d)
75%
68.
150 people were polled on their favorite sport.  Based on the table, if you asked only 25 people what their favorite sport is, how many would say soccer is their favorite sport?
a)
5 people
b)
6 people
c)
8 people
d)
10 people
69.
How many ways can you flip 3 coins?
a)
4
b)
6
c)
8
d)
10
70.
How many combinations of outfits can you make from 3 pairs of shorts, 2 shirts, and 1 pair of shoes?
a)
8 combinations
b)
5 combinations
c)
4 combinations
d)
6 combinations
71.
Ten marbles are in a bag.  What is the probability of choosing a black marble, replacing it back into the bag, and then getting a white marble?
a)
2/25
b)
3/50
c)
1/8
d)
3/5
72.
a)
1425
b)
1475
c)
1525
d)
1575
73.
a)
20
b)
34
c)
84
d)
350
74.
a)
12200
b)
1300
c)
13100
d)
13200
75.
a)
94
b)
104
c)
204
d)
224
76.
a)
100
b)
300
c)
500
d)
700
77.
a)
156
b)
166
c)
176
d)
186
78.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
79.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
80.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
81.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
82.
Solve for x
a)
20
b)
25
c)
120
d)
180
83.
A triangle has sides measures 7, 7, 14. Does this form a triangle?
a)
No triangle
b)
One unique triangle
c)
More than one triangle
84.
A triangle has side lengths of 12, 7, 9. Does it form triangle?
a)
No triangle
b)
One unique triangle
c)
More than one triangle
85.
A triangle has angle measures of 80, 40 , and 60 degrees. Does it form a triangle?
a)
No triangle b/c it doesn't add to 180 degrees
b)
One unique triangle
c)
 More than one triangle b/c it adds to 180 degrees and could have longer or shorter sides
86.

Find the area.

a)

356.5 in sq

b)

256 in sq

c)

456.96 in sq

87.
a)
1596 m sq
b)
980.2 m sq
c)
1552.04 m sq