WorksheetsMath 1030 Semester 1 Review
Total questions: 107
Worksheet time: 5hrs 57mins
An ice cream shop has 16 flavors and 6 toppings. How many combinations of 1 flavor and 1 topping exist?
96
22
100
10
Students at a high school must choose two sports to play. In the fall, they can play football, volleyball, or basketball. In the spring they can play soccer, baseball, tennis, or track. How many combinations of sports are possible?
12
7
9
16
Arnold is repainting his house and must choose a color for the walls and a color for the trim. There are 25 colors for the walls, and 45 options for the trim. How many possible combinations are there?
1125
70
1500
625
Jessica must choose an entree, an appetizer, and a drink from a restaurant. The restaurant has 8 entrees and 4 appetizers. The soda fountain has 6 sodas, and they also serve water and tea. How many possible meals can Jessica choose from?
256
192
20
18
A coin is flipped 5 times. How many different sequences are possible?
16
2
25
10
Students at a high school are selecting their core classes for next year. They can choose from three English classes, four math classes, three science classes, and five history classes. How many combinations of core classes are available?
180
15
3,435
240
A teacher must give an award to one student in each of her classes. She has 20 students in her first period, 16 students in 2nd period, twenty-four students in 3rd period, 18 students in fourth period, and nineteen students in 5th period. How many combinations of students could she give the awards to?
2,626,560
172,800
97
315,187,200
In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?
6760
62
2600
6084
A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?
12
80
28
1024
Cate's history quiz has 3 true/false questions. How many ways could she complete the quiz?
2
3
8
None of the these
How many total outcomes are there?
S Q U A R E?
application to art school. If she has 25 to choose from, how many ways can she pick 4?
In how many ways can this test be completed if every question must be answered?
In how many ways can this committee be formed?
Which of the following is set Q ?
R = { factors of 36 }.
n(R) =
T = { 4, 9, 3, n }.
If set S and set T are equal sets,
the value of m + n =
set V = { m, n, o, p },
find the number of subsets V.
∪
If set A equals the people in your class and set B equals the people in your class who wear glasses. What is meant by A∩B?
All the people in your class.
The people in your class who wear glasses.
The people in your class who do not wear glasses.
If set A equals the people in your class and set B equals the people in your class who wear glasses. What is meant by A∪B?
All the people in your class.
The people in your class who wear glasses.
The people in your class who do not wear glasses.
The _________ of sets is the set of all the members of both sets without repeating any of the members in the sets.
Intersection
Universal set
Union
Empty Set
A = {1,2,3,4,5,6} and B = {2,4,6} Which of the following represent A U B?
{3,4,6}
{1,2,3,4,5,6}
{2,4,6}
R = {bread, yam, rice, food} S={yam, dumplin, sugar, rice} R U S=_______________
{bread, yam, rice, food, sugar, chicken}
{yam, rice}
{bread, yam, rice, food, yam, dumplin, sugar, rice}
{bread, yam, rice, food, dumplin, sugar}
A = {1,2,3} and B = {4,5,6} then A n B = ______?
{}
Prime numbers
Universal set
From the above Venn diagram, what is the set S ∩ T?
{casey, drew, jade, glen}
{alex, casey, drew,hunter}
{casey, drew}
{drew, jade}
{casey}
∩
∅
∉
What does this symbol mean?
⊂
Subset
Union
Intersection
Empty set
Proper Subset
A'
Which one of the following is not a member of A?
X is the set of multiples of 3
Y is the set of multiples of 6
Z is the set of multiples of 9
Which one of the following is true?
(⊂ means "proper subset")
X⊂Y
X⊂Z
Z⊂Y
Z⊂X
Which of the following statements are true for the Venn diagram shown?
Overlapping sets
Subsets
Disjoint sets
Equal sets
Which of the following statements are true for the Venn diagram shown?
A is a subset of B
B is a subset of A
A = B
A and B are 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
A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.
.0267
37.5
.02
.3333
The probability that a woman likes the color blue is 10%. The probability of liking blue is 40%. What is the probability that a woman is chosen given they liked the color blue?
4
.4
.1
.25
X 50 20 5
P(X) 0.1 0.3 0.6
Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?
$1
$0.50
-$0.50
$0
A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much?
lose an average of $5.50
lose an average of $1.50
win an average of $2.00
lose an average of $10.00
A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a faulty brand B battery is selected?
0.28
1/4
0.42
0.21
A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?
0.21
0.09
0.28
0.25
James starts to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. What is the probability of rolling 2 sixes?
1/36
1/6
1/12
1/2
James starts to draw a diagram for rolling two dice and recording whether a 6 is rolled or not. What is the probability of rolling exactly 1 six?
10/36
5/36
15/36
9/36
A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking exactly 1 lemon?
12/20
6/20
2/20
18/20
In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random and then put it back. Your friend then picks a pen. What is the probability you both pick red?
1/9
2/9
6/9
4/9
In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random without putting it back. Your friend then picks a pen. What is the probability you both pick black pens?
1/6
4/9
3/81
9/72
In a box are 3 red pens, 4 black pens and 2 green pens. You pick a pen at random and then put it back. Your friend then picks a pen. What is the probability you both pick the same clour?
29/81
9/81
3/9
2/9
Two friends Sally and Bob play each other at tennis, then at squash. When they play tennis Sally wins 75% of the time. When they play squash Bob wins 60% of the time. What is the probability that Sally wins both games?
0.3
0.45
0.15
0.1
Machine A makes 60% of the bottles in a factory and machine B makes the others. Machine A breaks 3% of products it produces and Machine B breaks 4%. If a bottle is selected at random what is the probability it is a broken bottle from machine A?
0.018
0.6
0.03
0.18
