Homework Download
You can download the current set or any previous set of homework by selecting
any of the following links.
[Chapter 1 & 2][Tree diagram for counting combinations]
[Chapter 3]
[Chapter 4]
[Matrix logic table 1][Matrix logic table 2]
[Chapter 5 & 6]
[Chapter 7 & 8]
[Chapter 9][graph paper] Scroll Down for HW Answers!
[Chapter 10] [folding box]
[Chapter 11]
[Chapter 12]
Answers to Homework Problems
Warning: You should only use these answers to check the correctness of your work
and you need to show all steps for any credit.
1. WORM JOURNEY
10 days
2. THE UPS AND DOWNS OF SHOPPING
13 floors
3. FOLLOW THE BOUNCING BALL
460 feet
4. FLOOR TILES
320 tiles
5. COUNTING ON NINJA TURTLES
22 turtles
7. RACE
Ursula, Alma (3 m behind), Cathy (3 m behind), Lani (2 m behind), Isabel (2 m behind), and Betty (2 m behind)
8. A WHOLE LOTTA SHAKIN' GOIN' ON!
15 handshakes
1. CARDS AND COMICS
Cards @ $1.20 Comics @ $.60
5 0
4 2
3 4
2 6
1 8
0 10
2. FREE CONCERT TICKETS
A = Alexis, etc.
ABCD BACD CABD DABC
ABDC BADC CADB DACB
ACBD BCAD CBAD DBAC
ACDB BCDA CBDA DBCA
ADBC BDAC CDAB DCAB
ADCB BDCA CDBA DCBA
3. IT SURE IS TOUGH TO GET AN APARTMENT THESE DAYS
In the ninth month Plan A costs more ($640 per month vs. $620 per month for Plan B). But for the whole year plan B costs more ($6990 total vs. $6780 for Plan A).
4. STORAGE SHEDS
8 ft x 8 ft 10 ft x 10 ft 12ft x l2ft 15 ft x 15 ft
8 ft x 10 ft 10 ft x 12 ft 12ft x 15 ft
8 ft x 12 ft 10 ft x 15 ft
8 ft x 15 ft
5. MAKING CHANGE
10 ways
7. KYLE CRAVES CANDY
There are 10 ways
Five Ten Fifteen Total
8 0 0 40
6 1 0 40
5 0 1 40
4 2 0 40
3 1 1 40
2 3 0 40
2 0 2 40
1 2 1 40
0 4 0 40
0 1 2 40
3. EGGS IN A BASKET
119
4. DARTBOARD
23, 58, 31, 6, 15
5. FIND THE NUMBER
Answer: abcd is 2178
6. a. GIRLS + GIRLS = SILLY
Two possible answers:
G = 3, I = 0, L = 9, R = 4, S = 6, Y = 2 OR
G = 1, I = 9, L = 0, R = 5, S = 3, Y = 6
b. GOOD + DOG = FANGS
A = 0, D = 8, F = 1, G = 9, N = 2, 0 = 4, S = 7
7. SEND + MORE = MONEY
9567 + 1085 = 10652
8. THE THREE SQUARES
Chris is 19, Phyllis is 23, Bob is 28.
9. KNIGHTS AND KNAVES
There is only one knight.
1. THE SIDEWALK AROUND THE GARDEN
172 feet
2. A NUMBER OF OPTIONS
24 ways
3. GOOD DIRECTIONS?
Go 2 blocks east and one block south. (two more possible answers)
4. HIGH SCORERS
Heather: 25; Sara: 23; Martina: 19; Donna: 17; Kellene: 11
5. WAYS TO SCORE
14 ways
1. SCHEDULES
a. Jill's schedule b. Tom's schedule
1 Band I PE
2 PE 2 Math
3 Science 3 Drama
4 Math 4 Science
5 Lunch 5 Lunch
6 English 6 English
7 History 7 Typing
c. Leanne's schedule is impossible as she has to take both Math and PE during
second period and has no class to take during seventh period.
d. Mea's schedule has many possibilities.
e. Part I: Jose's first schedule looks like this
1 PE
2 Math
3 Drama
4 Science
5 Lunch
6 English
7 History
Part 2: Because first period PE is closed, there is no way for Jose's schedule to work. He won't be able to take Drama because he will have to take Science third period to make his schedule work. So he must pick another elective, either Band or Typing.
Part 3: Now with the new sixth period science class, Jose's schedule will work.
1 English
2 Math (Note: Math and PE can be switched.)
3 Drama
4 Lunch
5 PL
6 Science
7 History
2. THE FISHING TRIP
Sally first, Larry second, Woody third, Marta fourth
3. CABINET MEMBERS
Georgianne, President;
Norma, Vice President;
Inez, secretary of state;
Paula, secretary of education;
Colleen, secretary of treasury
5. MUSIC PREFERENCES
Jack Mullin, country western;
Mike Hardaway, rock;
Adele Higgins, Jazz;
Edna Richmond, classical
6. SUSPECTS
Connie Wilde, purple hair:
Morgan Theeves, scar;
Dana, tall and blonde;
Cary Fleece, birthmark
1. PHONE NUMBER
492-2804
3. SPORTING EVENTS
Ed, baseball, Monday
Judy frisbee, Tuesday
Mama, golf Thursday
Lisa, soccer, Friday
4. THE BILLBOARD
7 lines
1. SEQUENCE PATTERNS
a. 2, 5, 10, 17, 26, 37, 50
Add next odd number. Or, each term is 1 more than a perfect square.
b. 64, 32, 16, 8, 4, 2, 1, 1/2
Divide by 2. Or, each term is a descending power of 2.
c. 5, 10, 9, 18, 17, 34, 33, 66, 65, 130
Multiply by 2 and then subtract 1.
d. 1, 3, 7, 13, 21, 31, 43, 57
Add the next even number.
e. 2, 3, 5, 9, 17, 33, 65
Add the next power of 2. Or, 2, 3, 5, 9, 16, 27, 43. The difference of the differences increases by 1. There are probably other answers.
f 1, 5, 13, 26, 45, 71, 105, 148, 201
Starting with 4, the difference of the differences increases by 1.
g. 1, 2, 6, 24, 120, 720, 5040, 40320, 362880
Multiply by the next higher number. Or, each term is just n! (n factorial).
h. 1, 1, 3, 5, 9, 15, 25, 41, 67, 109, 177
Add the two previous terms and then add 1.
2. AIR SHOW
400
The pattern is the square of the number of rows.
3. RECTANGULAR DOTS
34 x 35 = 1190
4. PENTAGONAL NUMBERS
425
Add together a triangular number and a square number. The triangular number has one fewer dots per side than the square number.
5. LAST DIGIT
257 ends in 2. The pattern goes 2,4,8,6,
8. BEES
231
This is a Fibonacci sequence added up.
9. PASCAL'S TRIANGLE
1, 6, 15, 20, 15, 6, 1
1, 7, 21, 35, 35, 21, 7, 1
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 9, 36, 84, 126, 126, 84, 36, 9, 1
10. OTHER PATTERNS IN PASCAL'S TRIANGLE
Answers will vary
1. GOLF MATCH
Diana will tee off second.
2. MACARONI AND CHEESE
1/3 of a pound.
3. COMIC OF THE MONTH
$22.42
5. ROO AND TIGGER
Roo by 4 feet.
1. DIMES AND QUARTERS
8 quarters, 13 dimes
2. MARKDOWN
$34.30
3. TAX
$14.49
6. CHECKING ACCOUNT
39 checks
8. BASEBALL CARDS
35 cards
9. STAMPS
five 16-cent stamps and seven 7-cent stamps
10. A BUNCH OF CHANGE
14 dimes, 25 nickels, 19 quarters
11. Special numbers
Use guess and check.
12. After the football game
15 people
13. TRAVELING TO MOM'S HOUSE
28 miles
14. RIDING A HORSE
3 miles per hour
15. Shopping Surprises
$3.00 per dozen.
1. Football Scores
14 ways (when order is important).
2. Animals
Use guess and check technique. Hint: lots of rabbits.
5. LARRY LONGWAY AGAIN
3, 3, and 8
6. Cakes and Tea
7 people, 2 cakes, 3 (cups of ) tea.
1. COFFEE
6 ounces
(Suggested sub-questions:
a. How much does 1 lb of coffee cost?
b. How much does 1oz of coffee cost?
c. How many oz of coffee can $1.11 buy? )
2. SHARING EXPENSES
Many answers are possible. Each person's share is $8.l6. Leroy needs $5.84; Max
needs 84¢; Alex owes $5. 16; Kulwinder owes $1.16; Bobbi owes 36¢.
(Suggested sub-questions:
a. How much did they spend totally?
b. What is the fair share for each person?
c. Who over paid and by what amount?
d. Who under paid and by what amount?
e. Who should give money to whom and by what amount? )
3. AIRPLANE SEAT
240 seats
(Suggested sub-questions:
a. How many percent of the passengers were women?
b. How many percent of the passengers were girls?
c. How many percent of the passengers were men?
d. How many passengers were on the plane?
e. How many seats are on the plane? )
4. SIX SQUARES
42 feet
(Suggested sub-questions:
a. What is the area of each square?
b. What is the length of each side of each square?
c. What is the perimeter of the figure? )
5. SHADED AREA
100 - 25 p or 21.46. Note: the ¼ circles are all supposed to be the same size.
(Suggested sub-questions:
a. What is the area of the square?
b. What is the radius of each quarter circle?
c. What is the area of all those quarter circles?
d. What is the area of the shaded part? )
6. SAVINGS PLAN
12%
7. TEST AVERAGE
94%
8. CAR TRIP
36 minutes
9. TEST TRACK
8 hours
(Suggest sub-questions:
a. How many gallons of gas does the car use per hour during idling?
(answer: since we can't figure this out, we use the variable x.)
b. How many gallons if gas does the car use per hour at 60mph?
(express your answer in terms of x)
c. How big is the gas tank?
(express your answer in terms of x)
d. How many gallons of gas are still left in the tank after idling for 10 hours
(assuming starting from a full tank)?
e. How many more hours can it run at 60 mph with the remaining fuel? )
10. BOX
1620 in.3
1. UNIT CONVERSIONS
a. 114.8 ft b. 51.8m c. 241.4 km
d. 29.2 mi e. 121.9 cm f. 34.3 in.
g. 1371.6 mm h. 14.3 m/sec i. 18.95
j. 16.9qrts
2. CHRISTINA'S TRIP
a. 51.6 mi/hr b. 29 mi/gal c. $1.19/gal
d. 75.6 ft/sec e. $2.12/hr f. 0.12 qt/min
g. 3.5 cents/min h. 4.1 cents/mi
i. 24.4mi/$ j. 1.8 gal/hr
3. ANOTHER LONG COMMUTE
a. 2.5 gal b. 1.75 hrs c. 73.3 ft/sec
d. $1.89/hr e. $1.32/gal f $1.10/pass
g. 3.77 cents/mi h. 262.5 pass-mi
i. 105 pass-mi/gal j. 1.3 cents/pass-mile
4. RULE OF THUMB
88 ft/sec, 58.7 ft/sec, 73.3 ft/sec
The rule of thumb is to multiply by 1.5.
5. PROJECTILE
a. 102.3 mi/hr b. 164.6 km/hr
6. PAINTING CHIPMUNKS
Alvin, $24; Simon, $19; Theodore, $18
7. READING RATE (PART I)
0.44 pg/mm
8. READING RATE (PART II)
about 20 or 21 books (20.58)
9. NURSING
8.4 cc/hr
1. WANT A SMOKE?
14 years, 212 days, 22 hours (using 365 days/yr)
2. SESAME STREET LIVE
17 adults, 13 junior, 90 children.
5. VOLLEYBALL LEAGUE
Buckeyes beat Bombay Bicycle, lost to Sacto Magazine and Red Skeletons.
1. DIAGONALS
275 diagonals
2. SUM OF ODDS
25 million
3. TV TRUCK
504 TV sets
4. POTATOES
approx 74 pounds of potatoes; 7 soldiers
5. SO MANY TRIANGLES
84 triangles
6. TWENTY-FIVE MAN ROSTER
12 infielders/outfielders, 6 starting pitchers, 4 relief pitchers, 3 catchers.
9. FIFTY-TWO CARD PICKUP
252 - 1
1. COVERING THE GRID
30 tiles
2. TUPPERWARE PARTIES
20,475 parties
4. JOGGING AROUND A TRACK
every 40 seconds
1. THREE ADULTS AND TWO KIDS
13 trips, starting with the two kids going across
2. THE DOG, THE GOOSE, AND THE CORN
There are two solutions, which are virtually identical:
He must take the goose across first, leave it, and go back for the corn He then takes the goose back to the first side, leaving it and taking the dog across. He leaves the dog with the corn and returns across the river to retrieve the goose.
He must take the goose across first, leave it, and go back for the dog. He then takes the goose back to the first side, leaving it and taking the corn across. He leaves the corn with the dog and returns across the river to retrieve the goose.
5. THE HOTEL BILL
The bellhop has $2 that the women had paid. The hotel has $55 from the women, and the bellhop has $2. The women each paid $19, and out of that total the bellhop has $2 and the hotel has $55. There is no missing dollar.
Franklin's argument is wrong because the $57 includes the $2 tip, he should subtract $2 from $57 instead of adding.
7. WORCHESTERSHIRE PALACE
a. 16 moves b. 6 moves
9. JACK-QUEEN-DIAMOND
Jack of Diamonds, Queen of Diamonds, and Queen of Hearts
10. BASEBALL SEATING
Aisle, Mom, Alyse, Dad, Kevin, Jeremy (or put Mom on the other side of the aisle)
11. MAGIC TRIANGLE
12. MAGIC SQUARES
There are actually a number of possible solutions. Some of the others can be found by switching columns with columns or rows with rows.
13. TRUE EQUATIONS
Switching the 4 and 8 with the 3 and 6 respectively yields another solution.
15. CUBIST
E, right side up in normal orientation (Note: I appears twice.)
1. LOSING STREAK
$9200
2. GENEROSITY
$252
4. THE MALL
She started with $124. She spent $18 on a CD, $53 on a dress, $11 for lunch, $14 on a book, $12 for gas, and $4 on a nail polish. She gave her sibling $2.
6. HOCKEY CARDS
Jack 25, Jill 15
7. DONUTS
19 donuts
1. SENIOR CLASS
45 students
2. HAMBURGERS AND HOT DOGS
45 like neither.
4. EATING VEGETABLES
1, 4, 4, 0, 6
5. THE FIELD TRIPS
88 children
6. FAMILY
5 cousins were neither nieces nor aunts.
8. BLOOD LINES
76, 12, 4, 24
10. BOTTLE CAPS
25 cola, 45 orange, 55 root beer; 125 total
4. THE HOLIDAY PARTY
30 cousins that weren't nephews or uncles, 10 uncles that were cousins but not nephews
6. EAST PARKING LOT
18 white vehicles.
8800 Grossmont College Drive
El Cajon, California 92020
619-644-7000
Accessibility
Social Media Accounts
