Worksheets9B - Practice Questions
Total questions: 180
Worksheet time: 7hrs 49mins
B=7
C=12
B=7
C=12
B=5
C=12
B=7
C=10
A living room wall is 20 feet long, and 12 feet high. How much paint do you need to cover one wall?
240feet 2
32 feet 2
64 feet 2
40feet 2
The perimeter of the swimming pool is 36 meters. What is one pair of possible dimensions for the swimming pool?
length 6 meters and width 6 meters
length 9 meters and width 4 meters
length 10 meters and width 8 meters
length 12 meters and width 3 meters
To find the volume of a figure you need to use which of the following formulas?
l x w
l x w x h
1/2 x b x h
2l x 2w x 2h
How would you define the surface area of a rectangular prism?
Twice the area of the top and bottom plus twice the area of the sides plus twice the area of the front and back.
The area of the three sides.
The area of the base times how tall the rectangular prism is.
Pi times the length and width.
How would you define the volume of a rectangular prism?
Two times the area of the front, side and back. Then added together.
The area of the base of the rectangular prism, multiplied by the height of the prism.
Pi times the base and height.
All the sides added together.
How would you define the volume of a cylinder?
The area of each circle added to the around of the rectangle.
The area of the base's circle times the height.
The length times the width.
Find the circumference and multiply by two.
Which equations is set up to correctly solve the surface area of this shape?
2⋅5⋅3 + 2⋅5⋅6 + 2⋅3⋅6
5⋅3⋅6
2⋅5⋅5 + 2⋅3⋅3 + 2⋅5⋅3
5⋅5⋅5
Find the surface area of this shape. What equation correctly represents how you would solve the problem?
2⋅3.14⋅22 + 2⋅3.14⋅2⋅10
2⋅3.14⋅42 + 2⋅3.14⋅4⋅10
2⋅3.14⋅52 + 2⋅3.14⋅5⋅4
2⋅3.14⋅102 + 2⋅3.14⋅10⋅4
A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?
1/5
5/6
1/6
6/5
Sarah, Sammie, Victor, Vicki, and Valerie are in math group. Two students are randomly picked to be the co-leaders. What is the probability that the students picked were Sammie and Victor?
1/25
2/5
1/5
1/20
Sarah, Sammie, Victor, Vicki, Valerie are in a math group. Two students are randomly chosen to be co-leaders. What is the probability that both students' names begin with the letter V?
3/5 times 3/5 = 9/25
3/5 times 1/2 = 3/10
1/5 times 2/5 = 2/15
3/5 times 1/4 = 3/20
There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?
1/2
1/7
2/15
2/17
One card is randomly picked from a regular deck of cards. What is the theoretical probability that the card picked is a jack?
1/13
1/4
3/16
1/10
*Remember to simplify.*
1/36
1/18
1/18
25/36
1/4
1/3
1/6
1/36
Rachel is having breakfast. She will choose one item from the menu shown for breakfast and one item to drink. What is the probability Rachel will pick either French Toast or Pancakes to eat with milk to drink.
1/20
2/5
3/14
1/10
Rachel is having breakfast. She will choose one item from the menu shown for breakfast and one item to drink. What is the probability Rachel will pick to eat cereal but will not pick water to drink?
3/20
1/5
3/4
2/3
A ten sided die is rolled.
P (3 or 5)
3/10
1/5
1/10
25%
A box has 3 limes, 5 grapes, and 2 oranges.
P (NOT lime)
3/10
30%
7/10
Answer Not Here
The outcome of one event does affect the outcome of the other event.
independent event
dependent event
The outcome of one event does not affect the outcome of the other event.
independent event
dependent event
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events independent or dependent?
Independent
Dependent
If you roll two fair six-sided dice, what is the probability that the dice show the same number?
1/6
0
1/7
6/1
2, 8, 14, ...
-6, 1, 8, 15...
12.7, 19.2, 25.7, 32.2...
11, 15, 19, 23, ___, _?_
8,13,18,23...
2,1,0,-1...
How many of these sequences have a common difference of -4?
-19, -15, -11, -7, -3,...
19, 15, 11, 7, 3...
3, 7, 11, 15, 19...
-3, 7, -11, 15, -19,...
0
1
2
3
Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?
2
4
6
8
What is the difference between an arithmetic sequence and a geometric sequence?
One is the sum of the numbers and one is just a list of numbers.
One has a common difference and one has a common ratio.
One you can write an nth term and one you cannot.
None of these are correct.
Find the 8th term of a geometric sequence for which a1=2 and r = 7?
823,543
11,529,602
1,647,086
5,764,801
What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?
63
39
69
36
Which of the following is not an arithmetic sequence?
1/2, 1, 3/2, 2
11, 14, 17, 20
2, 4, 8, 16
5, 2, -1, -4
Given the following table, write the linear equation.
(-3, 3) and (7, 6)
An arithmetic sequence is described by the function f(n)=−3n+7. What are the first 5 terms of the sequence?
7, 10, 13, 16, 19
4, 1, -2, -5, -8
-4, -1, 2, 5, 8
-7, -10, -13, -16, -19
Write the explicit formula for the sequence shown below.
1, 6, 11, 16
an=1+5(n-1)
an=1−5(n-1)
an=5−(n-1)
an=5+(n-1)
Write the explicit formula for the sequence shown below.
3, -3, -9, -15
an=3+6(n-1)
an=3−6(n-1)
an=6−3(n-1)
an=6+3(n-1)
Identify the rational numbers.
4
π
3.5
2
32
A rational number can be written as a fraction.
true
false
A terminating decimal is a decimal that...
Never ends
repeats a pattern
ends
never ends and never repeats
Perfect Squares are irrational
True
False
Select the irrational numbers
50
2
π
2.3454128904
All whole numbers are rational numbers.
True
False
0.66666666666......is
Rational
Irrational
Terminating Decimal
Repeating Decimal
32
Rational
Irrational
-6 is
Rational
Irrational
94
Rational
Irrational
_____________ number is a number that cannot be written as a ratio of two integers.
An integer
A rational
An irrational
A repeating
_______ number can be written as a ratio where the numerator and denominator are integers.
An integer
A rational
An irrational
A repeating
Which of these is an example of a terminating decimal?
1⁄2
1⁄3
2⁄3
1⁄7
Which of these is an example of a repeating number?
1⁄3
1⁄4
1⁄5
1⁄10
Which of these is an example of an irrational number?
√2
√1
√9
√25
If A = {1,2,3}, B = {3,4,5}, C = {5,6,7}, find A U B U C.
{1,2,3,4,5,6,7}
{1,2,3,4,5,6,7,8}
{1,2,3,3,4,5,5,6,7}
{3,4,5}
List the elements of A
{2,3}
{2,3,5,9}
{1,2,3,4,5}
{5,9}
If A= {10,20,30,40},B={20,40,60} and C = {10,20,40,60,80}, find A Ո B Ո C
{20,40}
{20,40,60}
{10,20,30,40,50,60,80}
{10,20,30,...}
List the elements of A Ո B
{5,9}
{2,3,7,6,8}
{2,3,5,9,7,6,8}
{1,4}
Use the Venn diagram to identify the statement that is true.
2 ∈ P ∩ Q
5 ∈ Q
{5,7} ⊆ P
P U Q = Q
For the given sets A and B, which statement is true?
A ⊂ B
B ⊂ A
A = B
A' = B
{ x | x is a Marymount Student}
Roster Form
Universal Form
Set Builder Notation
Equivalent Inequality
P={a, b, c, d, e, f, g, h, i, j, k, l,m}
Roster Form
Universal Form
Set Builder Notation
Equivalent Inequalities
What type of set is denoted as either { } or ∅?
Superset
Empty (or Null) Set
Disjointed Set
Subset
A = {14, 16, 18, 20, 22, 24}
Which of the following statements are true for the Venn diagram shown?
Overlapping sets
Subsets
Disjoint sets
Equal sets
Determine if the following sets are:
Subsets
Equal sets
Overlapping sets
Disjoint sets
How many subsets will this set have? A= {a, b, c} ?
8
6
3
0
Every set has _____ as one of its subsets (select all that apply.)
∅
0
itself
the real numbers
A = {x : x is a letter in the word SEAT}
B = {x : x is a letter in the word TASTE}
Determine if these two sets are equal or equivalent.
Not equal because seat has 4 letters and taste has 5 letters.
Equivalent because they have the same letters
Equal because each set has the same cardinality and the same letters.
Determine if these two sets are equal or equivalent.
A = {2, 6, 10, 14}
B = {6, 2, 14, 16}
Equal
Equivalent
Which of the following is set Q ?
Which of the following is the symbol for null set?
∅
⊂
∈
⊂
Select the Venn diagram that represents the set below.
U'
This quarter, a survey of 100 students at a local college finds the following:
- 50 take math
- 40 take English
- 30 take history
- 15 take English and math
- 10 take English and history
- 10 take math and history
- 5 take all three subjects.
Use a Venn diagram to determine the following. The number of students taking math but not the other two subjects.
30
60
10
100
This quarter, a survey of 100 students at a local college finds the following:
- 50 take math
- 40 take English
- 30 take history
- 15 take English and math
- 10 take English and history
- 10 take math and history
- 5 take all three subjects.
Use a Venn diagram to determine the following. The number of students taking English or math, but not history.
30
60
10
100
A marketing survey of 1,000 commuters found that 600 answered listen to the news, 500 listen to music, and 300 listen to both. Let N = the set who listen to the news, M = the set who listen to music. Fill out a Venn-diagram and give the number in each the set: N∩M
300
200
100
1000
This quarter, a survey of 100 students at a local college finds the following:
- 50 take math
- 40 take English
- 30 take history
- 15 take English and math
- 10 take English and history
- 10 take math and history
- 5 take all three subjects.
Use a Venn diagram to determine the following. The number of students taking none of these subjects.
30
60
10
100
What is the punctuation mark used to enclose elements of sets?
Bracket
Braces
Parenthesis
Quotationn
What does this symbol ( ∪ ) represent in set theory?
Union
Intersection
Disjointed
Subset
How many senior boys play football or wrestle?
26
44
28
104
How many students took the survey?
47
6
53
30
How many students do not like either Soccer or Golf or Hockey?
16
2
33
36
Identify the shaded area...
A
B
A'
B'
Identify the shaded area...
A
B
A'
B'
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they don't play Football?
14/80
13/80
76/80
75/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they don't play Rugby?
24/80
77/80
23/80
17/80
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they play Rugby or Hockey but not Football?
75/80
8/80
13/80
44/80
(2, 4) and (6, 12)
(10, 1) and (5, 2)
Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?
y-8=5(x-3)
y=5x+8
y-3=5(x-8)
y-y1= m(x-x1)
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
y-10 = -2(x+7)
y-10 = -2(x-7)
y+10 = -2(x+10)
y -10 = -2x+2
y = -1/3x - 5
y = 1/3x + 2
Are these two lines parallel, perpendicular or neither?
y = -1/4 x - 5
y = 4x + 2
Parallel
Perpendicular
Neither
The slopes of parallel lines are...
the same
opposite
always different
Graph the line with the equation
y = −31x − 4
What is the slope formula?
Choose points that lie on the straight line
2x−y=5
(1,−3)
(−2,1)
(4,3)
Which of the following lines is parallel to
2x+3y=5
y=−31x+1
y=2x−3
y=−32x+2
y=−23x−1
A vertical line cuts the x-axis at 4, what is the equation of the line
x=4
y=4x
y=4
y=x+4
b)x-intercept of the straight line RS=−7
c) Distance of RS=(74)1/2 units
RS=5/7.
b)x-intercept of the straight line RS=7
c) Distance of RS=(74)1/2 units
b)x-intercept of the straight line RS=−7
c) Distance of RS=74 units
b)x-intercept of the straight line RS=7
c) Distance of RS=(74)1/2 units
b)equation of QR
y=2/5x + 6
c) x-intercept of QR = –15
b)equation of QR
y= -2x -2
c) x-intercept of QR= -4
b)equation of QR
y= -2/5x -2
c) x-intercept of QR= 4
b)equation of QR
y=2/5x + 6
c) x-intercept of QR= 15
Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).
(1, 3)
(3.5, -.5)
(-.5, 3.5)
(6, -.5)
