Worksheets8th Grade 1st Semester Review
Total questions: 73
Worksheet time: 2hrs 54mins
Name
Class
Date
1.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
2.
Which axis runs vertically?
a)
x
b)
Y
3.
Which axis runs horizontally?
a)
x
b)
y
4.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
5.
The axes divide the coordinate plane into four sections called what?
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
6.
Name the quadrant where POINT B is located.
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
7.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
8.
When talking about figures on a coordinate plane, what does "congruent" mean?
a)
Same shape, same size
b)
Same shape, size changes
c)
Different shape, different size
d)
Same shape, different size
9.
Translate the blue shape to the pink shape...
a)
5 Right
2 Down
b)
5 Left
2 Up
c)
3 Right
1 Down
d)
3 Left
1 Up
10.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
11.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
12.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
13.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
14.
Can you spot the reflection of this shape?
a)
b)
c)
d)
15.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
16.
Triangle GHI is reflected across the x-axis. What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
17.
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
18.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
d)
90 degrees clockwise
19.
What is another word for rotation?
a)
Turn
b)
Flip
c)
Slide
d)
Shrink
20.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
21.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
22.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
23.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
24.
Similar figures have the same ______ but different ______.
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
25.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
26.
When A(3, 6) is under a dilation of 2 what are the coordinates of A'?
a)
(3, 6)
b)
(1.5, 3)
c)
(6, 12)
d)
(12, 6)
27.
In order to multiply powers with the same base, we add their exponents.
a)
True
b)
False
28.
Simplify the expression:
c4⋅c3=
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
29.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
30.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
31.
Simplify 4-2=
a)
1/16
b)
-16
c)
1/4
d)
-42
32.
When dividing powers with the same base, you _______________ the exponents.
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
33.
x6 / x2
a)
x4
b)
x12
c)
x3
d)
x8
34.
a)
b)
c)
d)
35.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
36.
Write the following in expanded form.
103
103
a)
10+10+10
b)
10x10x10
c)
3x10
d)
1,000
37.
a)
13
b)
43
c)
11.6
d)
41.6
38.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
39.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
40.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
41.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
42.
Find the value (standard form) of the power.
33
33
a)
9
b)
6
c)
27
d)
12
43.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
44.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
45.
Which is equivalent to 24
a)
8
b)
20
c)
16
d)
12
46.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
47.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
48.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
49.
121 = ______
a)
112
b)
12
c)
11
d)
112
50.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
51.
√100
a)
15
b)
10
c)
11
d)
12
52.
√ 64
a)
4
b)
6
c)
9
d)
8
53.
Which of the following in not a perfect square?
a)
49
b)
81
c)
111
d)
144
54.
Square roots are the opposite of ____________.
a)
Cube Roots
b)
Squaring
c)
Multiplication
d)
Absolute Value
55.
An imperfect square is a number whose square root is ___________.
a)
Even
b)
irrational
c)
Rational
d)
Odd
56.
A perfect square is when a whole number is multiplied by itself?
a)
FALSE
b)
TRUE
57.
Which of the following is TRUE? (Choose 2)
a)
1 is the number of perfect square
b)
32=6
c)
92=9
d)
Square root of 4 is 16
58.
What is the cube root of 8?
a)
4
b)
2
c)
-2
d)
-4
59.
What is the cube root of 64?
a)
2
b)
4
c)
8
d)
16
60.
CHALLENGE.
a)
3
b)
62
c)
6
d)
2
61.
Identify the rational numbers.
a)
4
b)
π
c)
3.5
d)
2
e)
32
62.
A rational number can be written as a fraction.
a)
true
b)
false
63.
A terminating decimal is a decimal that...
a)
Never ends
b)
repeats a pattern
c)
ends
d)
never ends and never repeats
64.
Select the irrational numbers
a)
50
b)
2
c)
π
d)
2.3454128904
65.
Is the following number rational or irrational? 0.333...
a)
Rational
b)
Irrational
66.
Is the following number rational or irrational? (π)
a)
Rational
b)
Irrational
67.
Select the ONLY number that is RATIONAL
a)
π
b)
π/4
c)
√2
d)
√49
68.
1/2
a)
Rational
b)
Irrational
69.
.0123456789...
a)
Rational
b)
Irrational
70.
Convert to a decimal
a)
0.25
b)
0.7
c)
0.34
d)
0.75
71.
Convert to a decimal
a)
0.6
b)
0.3
c)
0.35
d)
0.06
72.
Convert to a decimal
a)
0.65
b)
0.132
c)
0.065
d)
0.26
73.
What is as a decimal? 383 as a decimal?
a)
0.375
b)
3.375
c)
3.3
d)
0.3
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