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Discrete Math Exam Review
Discrete Math Exam Review
50
Mathematics
12th Grade
05/05/2015

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Term
A ship is docked in harbor with a rope ladder hanging over the edge, and 9 feet of the ladder is above the waterline. The tide is rising 8 inches per hour. After 6 hours, how much of the ladder remains above the waterline?
Definition
9 feet
Term
A number is divided by 3 less than itself gives the quotient of 8/5. Find the number.
Definition
8
Term
The sum of 1/2 of a number and 1/3 of the same number is 10. Find the number.
Definition
13
Term
One person works for 3 hours and another person works for 2 hours. They are given a total of $60.00. How should it be divided up so that each person receives a fair share?
Definition
$36,$24
Term
The sum of the reciprocals of the two numbers is 5/6 and the difference is 1/6. Find the numbers.
Definition
2 and 3
Term
If Sam scored 87% on his first exam, what score would he need on his second exam to bring his average up to 90%?
Definition
93%
Term
M. McKinley is about 20,300 feet above sea level, and Death Valley is 280 feet below sea level. Find the vertical distance from the top of Mt.McKinley to the bottom of Death Valley.
Definition
20,580 feet
Term
The depth of the ocean near the island of Mindanao is about 36,400 feet. The height of Mt.Everest is about 29,000 feet. Find the vertical distance from the top of Mt.Everest to the floor of the ocean near the island of Mindanao.
Definition
65,400 feet
Term
A person is drawing a map and using a scale of 2 inches = 500 miles. How far apart on the map will two cities be located if they are 1,800 miles apart?
Definition
7.2 inches
Term
Round 1,674,253 to the nearest hundred thousand.
Definition
1,700,000
Term
Round 1.3752 to the nearest hundreth.
Definition
1.38
Term
Estimate the cost of Stuart's new wardrobe for his campus interview if a blazer costs $69.95, a new tie costs $32.54, and new pants cost $42.99
Definition
$146
Term
Let A = {a, b, d, e, f}
B = {a, g, i, j, k}
C = {e,h,j}
What is A Intersection B?
Definition
{a}
Term
Let A = {a, b, d, e, f)
B = {a, g, i, j, k}
C = {e, h, j}
What is A Union B?
Definition
{a, b, d, e, f, g, i, j, k)
Term
Let A = {a, b, d, e, f}
B = {a, g, i, j, k}
C = {e, h, j}
What is B Union C?
Definition
{a, e, g, h, i, j, k}
Term
Let U = {a, b, c, d, e, f, g, h, i, j, k}
A = {a, b, d, e, f}
B = {a, g, i, j, k}
C = {e,h,j}
What is B'?
Definition
{b, c, d, e, f, h}
Term
What is the negation of all men have goatees?
Definition
Not all men have goatees
Term
What is the negation of Some students ride a bike to school?
Definition
No students ride a bike to school
Term
Let p = "It is warm."
q = "It is suuny."
Write the statement using symbols
If it is sunny, then it is warm.
Definition
p -> q
Term
Let p = "It is warm."
q = "It is sunny."
Write the symbols as a statement
p <-> q
Definition
It is warm iff it is sunny
Term
Let p="It is warm"
Let q="It is sunny"
Write the statement using symbols
p->~q
Definition
If it is warm, then it is not sunny
Term
A person invested part of $3000
at 6% interest and the rest at 8% interest.
If interest was 190$,
how much money was invested at each rate.
Definition
$2,500@6%;$500@8%
Term
Ava purchased two jump drives for $57
How many jump drives can be purchased for $228?
Definition
8
Term
If you bike 2 miles in 12.5 minutes, how many hours will it take you to bike 210 miles without rest stops?
Definition
21.9 hrs
Term
The number of vibrations per second of a metal string varies directly with the square root of the tension when all other factors remain unchanged. Find the number of vibrations per second of a string under tension of 64 pounds when a string is under tension of 25 pounds makes per second.
Definition
200 per second
Term
The number of hours it takes to do a certain job varies inversely with the number of people working on the job. If it takes 12 people 8 hours to build a front porch on a Habitat for Humanity house, how many hours will it take 8 people to build a porch?
Definition
12 hours
Term
A board game is played on a rectangular board whose area is 96 square inches. If the length is 4 inches longer than the width, find its dimensions.
Definition
L=12
W=8
Term
A college algebra class of 57 students was divided into two sections. There were 5 more students in one section than in the other section. How many students were in each section?
Definition
26 and 31
Term
A newsstand sells a certain number of Daily News newspapers for $0.35 and Tribune newspapers for $0.50. The gross amount made on both papers was $38.70. If the stand would sell twice as many Tribunes and half as many Daily News papers, the gross amount made would be $44.85. Find the number of each paper sold.
Definition
62 Daily News; 34 Tribunes
Term
The wages per hour for three cooks and eight food servers is $66.50. The cooks receive $2 an hour more than the food servers. How much does each earn per hour?
Definition
$7.50/cook;$5.50/server
Term
Find the compound interest on a $4,000 investment held for 5 years, if the rate is 8.5% compounded semiannually?
Definition
$2,064.86
Term
A marathon is 26 miles. How many kilometers is a marathon?
Definition
41.86km
Term
How many pounds does a 88-kg man weigh?
Definition
193.6lb
Term
How many feet is a 5-km race?
Definition
16,404ft
Term
The famous rotunda of the Capitol building has a floor area of about 7,238 square feet. A marble restoration company charges $40 per square yard for its services. How much would it cost to restore the entire floor in the rotunda?
Definition
$32,168.80
Term
It is about 353km from Toronto to Ottawa.
How long would it take to make that drive averaging 65 miles per hour?
Definition
3.37hrs
Term
The warmest month if Aruba is September, with an average high of 32.8 degrees Celcius. The coolest month is January, with an average low of 24.4 C. What is the difference between these temperatures in degrees Fahrenheit?
Definition
15.12F
Term
You create a masterpiece in your art studio and it is selected for the student art exhibition. Your paintind is 70 inches by 100 inches, and you choose framing that costs $4.35 per yard. Find the cost of the framing.
Definition
$41.08
Term
During your chemistry lab, you fill a cone-shaped beaker that has a 1-inch diameter and a 2-inch height with lead, which weighs 0.41 pounds per cubic inch. Find the weight of the lead in the beaker.
Definition
.21 lbs
Term
To install a satellite television transmitter, the technician digs a cylindrical hole that is 3 feet in diameter with a depth of 5 feet. How much dirt in pounds must be removed if 1 cubic foot of dirt weighs 98 pounds?
Definition
3,463.32 lbs
Term
A bank sets up a security camera on top of a building across the street from their entrance. The camera is controlled by a computer, and the head of security needs to input an angle of depression for proper aim. If the camera is at a height of 46 feet and the base of the building across the street is 70 feet from the bank entrance, what angle should the manager input?
Definition
33.3 degrees
Term
When 2 dice are rolled, find the probability of getting a sum less than 11
Definition
11/12
Term
Find the area under the standard normal distribution between 0 and 1.50 (The A of z is .433)
Definition
.433
Term
What is 2+5 on a 4-hour clock?
Definition
3
Term
What is 7(2-5) on an 8 hour clock?
Definition
3
Term
What is 518 = mod3?
Definition
2
Term
What is -15=mod5?
Definition
0
Term
What is 3+7=mod9?
Definition
1
Term
What is 8-10=mod12?
Definition
10
Term
What is 4x7=mod10?
Definition
8
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