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S2 - Final Review (Grade 8)

Total questions: 90

Worksheet time: 5hrs 30mins

Name
Class
Date
1.
√7
a)
Rational 
b)
Irrational
c)
real
d)
fake
2.
.141414141414...
a)
Rational 
b)
Irrational 
c)
real
d)
fake
3.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
4.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a ratio.
c)
A rational number cannot be a repeating  decimal.
5.
What type of number is π ?
a)
Rational
b)
Irrational
6.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
∛25
7.
Irrational Numbers....
a)
cannot be represented as a simple fraction
b)
can be represented as a fraction
c)
can be a repeating decimal
8.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
9.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
10.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
11.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
12.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
13.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
14.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
15.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
16.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
17.
Write 8.063 x 10-4                   in standard notation.
a)
0.00008063
b)
80,630
c)
0.0008063
d)
80,630,000
18.
3. In the year 2000, the United States public debt was about 5.6 x 1012 dollars.  The population of the United States in that year was about 2.8 x 108 people.  What was the average debt per person?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
19.

There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 101 coins, how many coins are there altogether?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

20.
The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?
a)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
21.
There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 101 coins, how many coins are there altogether?
a)
1.271 x 1010
b)
1.271 x 109
c)
1.271 x 1011
d)
1.271 x 108
22.

Which angle is a vertical angle to with ∠7\angle7  ?

a)

∠1\angle1  

b)

∠5\angle5  

c)

∠3\angle3  

d)

∠6\angle6  

e)

∠9\angle9  

23.

2) Given the following two parallel lines cut by a transversal.


Which pair of angles represents corresponding angles?

a)

∠1\angle1  and  ∠6\angle6  

b)

∠6\angle6  and ∠5\angle5  

c)

∠7\angle7  and ∠8\angle8  

d)

∠4\angle4  and ∠8\angle8  

24.

11) Given the two parallel lines cut by a transversal,

What is the measure of ∠4\angle4  if  m∠8=76°m\angle8=76\degree  ?



(a)  

25.

∠1 \angle1\  and ∠5\angle5  are _____________________.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

26.
Find the value of x.
a)
x = 95
b)
x = 85
27.

Solve for x

a)

-14o

b)

194o

c)

-7o

d)

63o

28.

What is angle c if the base angles are 46 ?

a)

46

b)

88

c)

134

29.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees
30.
Solve for x
a)
28
b)
12
c)
10
d)
2
31.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

32.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

33.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

34.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

35.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

36.

Set up an equation to find x.

a)

52 + 5x + 16 + 10x + 8 = 180

b)

52 - 5x + 16

c)

52 + 5x + 16 = 10x + 8

d)

52 + 10x + 8 = 5x +16

37.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
left 2, up 9
b)
right 2, down 9
c)
left 2, down 9
d)
left 2, up 5
38.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
39.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
40.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
41.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
42.
Original point: (8, -4)
New point: (5, -1)
What is the rule?
a)
T(-3, -3)
b)
T(-3, 3)
c)
T(3, 3)
d)
T(3, -3)
43.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
44.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
45.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
46.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
47.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

48.

Rotation Rules (clockwise):

270o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

49.

What is the only rule that will flip the order of x and y?

a)

180 degree rotation

b)

90 degree or 270 degree rotation

c)

Reflection over the y-axis

50.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
51.
A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of  4. The dilation is (X,Y) --- (4x,4y)
a)
A(3,3), B(4,4), C(-3,-4)
b)
A(-4,8), B(6.5,8), C(7,7)
c)
A(0,0), B(32,0), C(12,-8)
52.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
53.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
54.
A scale factor of less than one means
a)
that the image will be larger than the pre-image.
b)
That the image will be the same as the pre-image.
c)
That you need to subtract that amount off  of each side.
d)
That the image will be a reduction of the pre-image.
55.
Find missing side
a)
5
b)
7
c)
9
d)
11
56.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
57.
a)

A

b)

B

c)

C

d)

D

58.
Which triangle congruence postulate is shown?
a)
SAS
b)
ASA
c)
SSS
d)
SSA
59.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
60.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

61.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

62.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

63.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

64.

ΔAEB ≅ ΔCED by...

a)

SAS

b)

ASA

c)

AAS

d)

SSS

65.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
66.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
67.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
68.
A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
69.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
70.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
71.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
72.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

73.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

23 feet

b)

26 feet

c)

27 feet

d)

22 feet

74.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
75.
a)
72
b)
67
c)
65
d)
54
76.
Find x.
a)
180
b)
57
c)
61.5
d)
32.7
77.
Find the value of the base angle. 
a)
30
b)
120
c)
60
d)
180
78.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

22 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

79.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
80.

Find the volume of the Sphere

a)

104.7 m3

b)

392.5 m3

c)

523.3 m3

d)

78.5 cm3

81.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
82.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
83.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
84.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
85.
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.
86.

Find the area of the circle. (use 3.14 for π\pi ) 

a)

43.96

b)

153.86

c)

87.82

d)

307.72

87.

What is the area of this circle? (use 3.14 for π)

a)

163.2

b)

15.3

c)

124.2

d)

113.04

88.

What is the area of this circle? (use 3.14 for π\pi  ).

a)

15393.8  mi2mi^2  

b)

3846.5  mi2mi^2  

c)

5930.12  mi2mi^2  

d)

1248.12  mi2mi^2  

89.
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
90.
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

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