Worksheets8th Grade 1st Semester Cumulative Review
Total questions: 50
Worksheet time: 4hrs 55mins
Name
Class
Date
1.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
2.
Estimate √5 to the nearest tenth:
a)
2.2
b)
2.9
c)
4.1
d)
3.2
3.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
4.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
5.
Solve each equation for x:
a)
9
b)
3
c)
6
d)
12
6.
Estimate the square root.
a)
9
b)
10
c)
11
d)
12
7.
Estimate the square root.
a)
4
b)
5
c)
6
d)
7
8.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
9.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
10.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
11.
Find the best estimate for √18 .
Look at the number line.
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
12.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
13.
Which is the best estimate of the square root of 63?
a)
7.1
b)
7.3
c)
7.5
d)
7.9
14.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
15.
If the volume of a cube is 27in3, what is the length of one side of the cube?
a)
3in
b)
9in
c)
2.7in
d)
3cm
16.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
17.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
18.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
19.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
20.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
21.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
22.
Find the distance of the wall to the ladder.
a)
5
b)
7
c)
9
d)
11
23.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
3.25, √ 10, 3π
24.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
25.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
26.
Write 7.113 x 107 in standard form.
a)
71,130,000
b)
7,113,000
c)
0.0000007113
d)
7,113
27.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
28.
Write the answer in scientific notation.
7.3 x 105 + 3.7 x 105 =
7.3 x 105 + 3.7 x 105 =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
29.
Write the answer in scientific notation.
5 x 108 - 3.4 x 108 =
5 x 108 - 3.4 x 108 =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
30.
Simplify
a)
-1/16
b)
1/16
c)
-16
d)
16
31.
Simplify
a)
-1
b)
1/32
c)
-1/32
d)
1
32.
What is 100 equivalent to?
a)
1
b)
10
c)
0
d)
100
33.
(x4)2
a)
x8
b)
x6
34.
(−2x2)3
a)
−2x5
b)
−6x6
c)
−8x5
d)
−8x6
35.
(3x2y2)2
a)
9x4y4
b)
6x4y4
c)
3x4y4
d)
6x2y2
36.
(a3)2(b4)3
a)
a5b7
b)
a6b12
37.
Simplify the expression.
a)
1/y5
b)
1/y2
c)
y2
d)
y5
38.
Simplify.
a)
x7
b)
1/x3
c)
x3
d)
1/x7
39.
a)
2a2b6
b)
1/(2a2b6)
c)
b6/2a2
d)
2b6/a2
40.
Simplify
a)
h2
b)
h-2
c)
1/h2
d)
h1/3
41.
Simplify:
a)
x6
b)
x5
c)
x14
d)
x2
42.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
43.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
44.
What is the slope of the line?
a)
2/4
2/4
2/4
b)
1/2
c)
4/2
d)
2/1
45.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
46.
Determine the slope.
a)
1/2
b)
-1/2
c)
2
d)
-2
47.
Find the slope.
a)
-2
b)
2
c)
1/2
d)
-1/2
48.
Identify the slope (AC) of triangle ABC.
a)
2
b)
1/2
c)
-2
d)
-1/2
49.
Identify the slope of EF in triangle DEF.
a)
1
b)
-1
c)
3
d)
-3
50.
Triangles ABC and DEF are similar. The slope of triangle ABC is...
a)
1 which is the same as the slope of triangle DEF.
b)
3/4 which is the slope of hypotenuse of triangle DEF.
c)
4/3 which is the slope of triangle DEF.
d)
-1 which is the same as the slope of triangle DEF.
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