MAT 101 MIDTERM CERTIFICATION SCRIPT
2026 QUESTIONS WITH SOLUTIONS
GRADED A+
◍ What is the statement about the set of swimming, sailing, and skiing?.
Answer: The statement is true; { } is a subset of the set.
◍ $90,380.
Answer: A woman earned wages of $87,200, received $2,680 in interest
from a savings account, won $500 from the lotto, and contributed $3,200 to
a tax-deferred savings plan. What is her gross income?
◍ $1,598.42.
Answer: If the sum of unpaid balances for each day in the billing period
adds up to $49,551 and there are 31 days in the month, what is the average
daily balance (rounded to the nearest hundredths place).
◍ 83.3%.
Answer: What is 5/6 as a percent rounded to the nearest tenth?
◍ How many students used only Instagram from a survey of 120 students?.
Answer: 13 students used only Instagram.
◍ 39.4%.
Answer: A hoodie regularly sells for $35. The sale price is $21.21. Find the
percent decrease of the sale price from the regular price (round to the nearest
tenth).
◍ What is a self-contradiction?.
Answer: A compound statement that is always false.
◍ How many customers bought only romance novels from a survey of 14
customers?.
, Answer: 5 customers bought only romance.
◍ In the long run a person can expect to loose an average of $.50 for each
game played..
Answer: If a game has an expected value of -$.50, what does this mean?
◍ $1.00.
Answer: A game is played using one die. If the die is rolled and shows 1, 2,
or 3, the player loses $2; if 4 or 5, the player wins $3; if 6, the player wins
$6. What is the game's expected value?
◍ What is the intersection of sets A and B if A = {2, 4, 5, 7} and B = {1, 2, 4,
3}?.
Answer: A ∩ B = {2, 4}.
◍ What is the expected winnings from a lottery ticket costing $1 with a prize
of $1500 and 1000 tickets sold?.
Answer: Expected winnings = -$0.50.
◍ $2.50.
Answer: Solve the following expected value equation: E = (-$1)(2/6) +
($4)(3/6) + ($5)(1/6)
◍ Word Description, Roster Method, and Set-builder Notation.
Answer: What are the three methods that are commonly used to designate a
set?
◍ 4 (Proper Subsets, Equal sets, Disjoint sets, Sets with some elements in
common).
Answer: There are ____ different ways to represent two subsets of a
universal set in a Venn diagram.
◍ -$.50.
Answer: A game is played using one die. If the die is rolled and shows 1, 2,
4, or 6, the player loses $6; if 3, the player wins $8; if 5, the player wins
$13. What is the game's expected value?
◍ How many customers bought mysteries or science fiction but not romance?.
2026 QUESTIONS WITH SOLUTIONS
GRADED A+
◍ What is the statement about the set of swimming, sailing, and skiing?.
Answer: The statement is true; { } is a subset of the set.
◍ $90,380.
Answer: A woman earned wages of $87,200, received $2,680 in interest
from a savings account, won $500 from the lotto, and contributed $3,200 to
a tax-deferred savings plan. What is her gross income?
◍ $1,598.42.
Answer: If the sum of unpaid balances for each day in the billing period
adds up to $49,551 and there are 31 days in the month, what is the average
daily balance (rounded to the nearest hundredths place).
◍ 83.3%.
Answer: What is 5/6 as a percent rounded to the nearest tenth?
◍ How many students used only Instagram from a survey of 120 students?.
Answer: 13 students used only Instagram.
◍ 39.4%.
Answer: A hoodie regularly sells for $35. The sale price is $21.21. Find the
percent decrease of the sale price from the regular price (round to the nearest
tenth).
◍ What is a self-contradiction?.
Answer: A compound statement that is always false.
◍ How many customers bought only romance novels from a survey of 14
customers?.
, Answer: 5 customers bought only romance.
◍ In the long run a person can expect to loose an average of $.50 for each
game played..
Answer: If a game has an expected value of -$.50, what does this mean?
◍ $1.00.
Answer: A game is played using one die. If the die is rolled and shows 1, 2,
or 3, the player loses $2; if 4 or 5, the player wins $3; if 6, the player wins
$6. What is the game's expected value?
◍ What is the intersection of sets A and B if A = {2, 4, 5, 7} and B = {1, 2, 4,
3}?.
Answer: A ∩ B = {2, 4}.
◍ What is the expected winnings from a lottery ticket costing $1 with a prize
of $1500 and 1000 tickets sold?.
Answer: Expected winnings = -$0.50.
◍ $2.50.
Answer: Solve the following expected value equation: E = (-$1)(2/6) +
($4)(3/6) + ($5)(1/6)
◍ Word Description, Roster Method, and Set-builder Notation.
Answer: What are the three methods that are commonly used to designate a
set?
◍ 4 (Proper Subsets, Equal sets, Disjoint sets, Sets with some elements in
common).
Answer: There are ____ different ways to represent two subsets of a
universal set in a Venn diagram.
◍ -$.50.
Answer: A game is played using one die. If the die is rolled and shows 1, 2,
4, or 6, the player loses $6; if 3, the player wins $8; if 5, the player wins
$13. What is the game's expected value?
◍ How many customers bought mysteries or science fiction but not romance?.
