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WorksheetsASPIRE for Gr8ness
Total questions: 150
Worksheet time: 3hrs 10mins
Name
Class
Date
1.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
2.
Which of the following numbers is rational?
a)
√8
b)
√16
c)
√50
d)
√75
3.
Is the following number rational or irrational?
√5
√5
a)
Rational
b)
Irrational
c)
Neither
d)
Both
4.
Is the following number rational or irrational?
-0.87527974221231...
-0.87527974221231...
a)
Rational
b)
Irrational
c)
Neither
d)
Both
5.
Is the following number rational or irrational?
7
7
a)
Rational
b)
Irrational
c)
Neither
d)
Both
6.
Is the following number rational or irrational?
9/10
9/10
a)
Rational
b)
Irrational
c)
Neither
d)
Both
7.
Is the following number rational or irrational?
4,578
4,578
a)
Rational
b)
Irrational
c)
Neither
d)
Both
8.
Is the following number rational or irrational?
-0.9567
-0.9567
a)
Rational
b)
Irrational
c)
Neither
d)
Both
9.
a)
D, C, A, B
b)
D, A, B, C
c)
D, B, C, A
d)
A, C, B, D
10.
a)
M
b)
N
c)
O
d)
P
11.
Put in order of least to greatest.
√5, 3, 2½, √8
√5, 3, 2½, √8
a)
3, 2½, √8, √5
b)
2½, 3, √5, √8
c)
√5, 3, 2½, √8
d)
√5, 2½, √8, 3
12.
Estimate the square root.
a)
4.2
b)
4
c)
4.6
d)
5
13.
Estimate the square root.
a)
9.8
b)
9
c)
9.3
d)
10
14.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
15.
Solve the equation: x2 = 49
a)
7
b)
-7
c)
14
d)
49
e)
no solution
16.
Solve the equation: x2 = -225
a)
15
b)
-15
c)
25
d)
-25
e)
no solution
17.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
18.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
19.
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
20.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
21.
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)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
22.
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
23.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
24.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
25.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
26.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
27.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
28.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
29.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
30.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
31.
Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x
a)
x6
b)
6x
c)
x3
d)
6x6
32.
2 * 22 *22
a)
24
b)
84
c)
36
d)
25
33.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
34.
25 is the same as 2 x 5.
a)
True
b)
False
35.
What is the number in a power that tells how many times the base is used as a factor?
a)
Expression
b)
Exponent
c)
Factor
d)
Term
36.
a)
49
b)
444
c)
421
d)
415
37.
a)
a7
b)
a10
c)
a3
d)
a-3
38.
a)
2560
b)
2517
c)
560
d)
517
39.
a)
3-5 = 1/35
b)
35
c)
342
d)
1/9
40.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
41.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
42.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
43.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
44.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
45.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
46.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
47.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
48.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
49.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
50.
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
51.
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
52.
Solve for x:
2x + 5 = 12
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
53.
Solve for x:
2 - 4x = 3x - 12
2 - 4x = 3x - 12
a)
2
b)
-14
c)
10
d)
-2
54.
Solve for x:
6(2x + 1) = 18
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
55.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
56.
Solve for x:
8x + 2 + 3x + 5 = x + 12
8x + 2 + 3x + 5 = x + 12
a)
-1/2
b)
2
c)
-2
d)
1/2
57.
Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)
3(5x + 10) + 10 = 6x - (x + 10)
a)
3
b)
-3
c)
-5
d)
5
58.
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
59.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
60.
10 = -7 + b
a)
b = -17
b)
b = 3
c)
b = 17
d)
b = -3
61.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
62.
The goal of solving two-step equations is to:
a)
francine
b)
Find the coefficient
c)
Find the value of the variable
63.
Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
64.
Solve for y:
8x + 4y= 16
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
65.
IR = V
(solve for R)
(solve for R)
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
66.
Solve:
y = mx + b , for b
y = mx + b , for b
a)
y - mx = b
b)
y + mx = b
c)
y/mx = b
d)
y + mx = -b
67.
Solve for w:
A = LW
A = LW
a)
A = L/W
b)
w = L/A
c)
w = A
d)
w = A/L
68.
Solve:
C = 2πr, for r
C = 2πr, for r
a)
C/(2π) = r
b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
69.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
70.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
71.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
72.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
73.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
74.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1
d)
1 mile driven/$2
75.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
76.
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
77.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
78.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
79.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
80.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
81.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
82.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
83.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
84.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
85.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
86.
Write the equation of the line.
a)
y=3/5x+1
b)
y=3/5x-1
c)
y=5/3x+1
d)
y=3/5x+1
87.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
88.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
89.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
90.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
91.
The solution (x, y) to a system of equations is the point where they...?
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
92.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
93.
a)
How many minutes she was on the phone
b)
What Tara pays per minute
c)
Tara's base fee for her phone service
d)
How much Tara owes at the end of each month
94.
The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?
a)
2 minutes
b)
4 minutes
c)
7 minutes
d)
10 minutes
95.
Which panda will weigh more at 5 weeks?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
96.
A driver stopped her car for a traffic light. After waiting for the light to turn green, the driver continued on her way.
a)
A
b)
B
c)
C
d)
D
97.
A person parachutes from an airplane, free-falls for a while, opens her chute, slows down, and lands on the ground.
a)
A
b)
B
c)
C
d)
D
98.
A child climbs up a slide and then slides down.
a)
A
b)
B
c)
C
d)
D
99.
Which graph depicts a nonlinear function?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
100.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
101.
What is the type of correlation?
a)
Negative
b)
no association
c)
positive
102.
What type of correlation does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
103.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many pages would be in a book with 6 chapters.
a)
100 pages
b)
170 pages
c)
60 pages
d)
20 pages
104.
1. Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?
a)
65
b)
92
c)
70
d)
76
105.
What type of correlation (association)?
The outside temperature and the amount of layers you wear.
The outside temperature and the amount of layers you wear.
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
106.
What is a scatter plot?
a)
A graph that shows the relationship of two data sets.
b)
A graph drawn using rectangular bars to show how large each value is.
c)
A graph that shows information that is connected in some way.
d)
A graph that shows data changing over time.
107.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
108.
How many people have two or less books in their desk?
a)
4
b)
5
c)
6
d)
7
109.
The dot plot below shows the points scored by players in a basketball game.
What is the difference between the number of players who scored fewer than 4 points and the number of players who scored more than 4 points?
What is the difference between the number of players who scored fewer than 4 points and the number of players who scored more than 4 points?
a)
4 players
b)
10 players
c)
13 players
d)
15 players
110.
In how many games did the team score fewer than 10 points?
a)
3
b)
5
c)
4
d)
6
111.
Andrew left school at 2:15 P.M. He rode to the library to pick up a book, and then he rode to Bill's house. After he left Bill's house, he stopped at the store and then rode home. The graph shows his trip. At what time did Andrew leave Bill's house?
a)
2:35 P.M.
b)
2:45 P.M.
c)
2:50 P.M.
d)
2:55 P.M.
112.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
113.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
114.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
115.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
116.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
117.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
118.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
119.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
120.
The result of a transformation.
a)
Pre-image
b)
Image
121.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
122.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
123.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
124.
How is the blue triangle rotated to the red triangle?
a)
90 clockwise
b)
90 counter-clockwise
c)
180 clockwise
125.
Find the measure of the missing angle.
a)
154 degrees
b)
26 degrees
c)
180 degrees
d)
64 degrees
126.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
127.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
128.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
129.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
130.
Angles whose measure sum up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
131.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
132.
Find the missing angle. Find x.
a)
15o
b)
50o
c)
130o
d)
165o
133.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
134.
If angle B measures 120 degrees, find the measure of angle Q.
a)
120 degrees
b)
-30 degrees
c)
60 degrees
135.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
136.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
137.
What is the formula for the sum of the interior?
a)
S=360
b)
S=(n-2)180
c)
n=360/ext. angle
d)
1 int. angle + 1 ext. angle=180
138.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
139.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
140.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
141.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
142.
Find the measure of angle b
a)
75 degrees
b)
20 degrees
c)
30 degrees
d)
55 degrees
143.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
144.
Are the triangles similar?
a)
Yes
b)
No
145.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
146.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
147.
What is the formula for volume of a CONE?
a)
V = π r²
b)
V = π r² h
c)
V = ⅓ π r² h
d)
V = ⅓ L W H
148.
What is the volume formula for a sphere?
a)
V = (4 ∕ 3)πr3
b)
V = (1 ∕ 3)πr2h
c)
V = πr2h
d)
V = (1 ∕ 3)Bh
149.
What is the formula for volume of a CYLINDER?
a)
V = π r²
b)
V = π r² h
c)
V = ⅓ π r² h
d)
V = ⅓ L W H
150.
Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
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