- Can you complete the following sequences?
1 2 3 4 5 __ __ __
1 1 2 3 5 __ __ __
O T T F F __ __ __
J F M A M __ __ __
M V E M J __ __ __
77 49 36 18 __
240 120 40 10 2 __
- At McDonald's you can order McNuggets in boxes of 6, 9, or 20.
By ordering 2 boxes of 6, you can get 12.
But you cannot order 13, since no combination of 6, 9, and 20 adds up to 13.
What is the greatest number of McNuggets that you can't order?
- Henry's mother, Mabel,
has four children, that is all.
The first one's name is "Summer,"
The second one's name is "Fall."
"Winter" is the third one,
and that leaves just one more.
Can you guess the name of
the final babe she bore?
- Len had it before.
Paul had it behind.
Bryan never had it at all.
Ralph had it once.
All girls have it once.
Boys can't have it.
Old Mrs. Mulligan had it twice in succession.
Dr. Lowell had it before and behind -- he had it twice as much behind as before.
What is it?
- Begin with the word S T A R T L I N G.
Cross one letter out and leave a familiar word (the letters must remain in order).
Continue to cross out one letter to make new words -- the last letter makes a word by itself.
- All my pets but 2 are dogs.
All my pets but 2 are cats.
All my pets but 2 are parrots.
How many pets do I have?
- Fill in the missing word for each capital letter below:
1 H on a U
2 H in a W
3 P in a HG
4 Q in a G
5 T on a F
6 S on a G
7 H in a HH
8 S on a SS
9 P on a BT
10 Y in a D
- Do the following addition problem by saying aloud the partial sums.
Start with 1000.
Add 20 to it.
Now add 30.
Now add another 1000.
Add 1000.
Now add 30.
Now add another 1000.
Now add 20.
What is the total?
- What unusual feature do these two-word phrases have in common?
RARE DOG
"
BASIL VERMIN
GOOGOL DIVISION
comb lackey
TERRAPIN KING
Poor Angel
OGRE ENCLAVE
Eyebrow Need
Jodhpur Pleat
DELTA NATIVE
- Rearrange the letters following each statement below to form one or two math words:
(1) Verty Vedel, upon being healed of his blindness, shouted, "_________ ."
T S R E E C V I
(2) Motgomery Taylor Sette was called _____ _____ by his friends.
T E P Y M E S T
(3) Upon seeing the bathroom door closed, Mr. Bleecher muttered to himself,
"Is that daughter of mine _________ ?"
D Y N R C E I L
(4) The zookeeper affectionately referred to the two newborn lion cubs as a
__________ __________ .
R A L A L P E L S E I L N
(5) The sheriff after discovering the escaped prisoner's underground hideout,
radioed his deputy, "I have fouund the _________ ."
A C E N V O C
(6) Ferd Freezin, local ice plant manager, described his uncomfortable
working conditions as follows, "It's ________ ."
R N L A I O E L C
(7) What do you call it when a toilet flushes in an airplane?
Y E S H E N O T U P
(8) B. A. Hunter, the noted buffalo hunter and zoid catcher, entitled his
latest book, "How to _________ ."
Z I P E R T O A D
- Can you tell who owns the following Vanity Plates?
(1)
1 4 6 4 1
(2)
1 1 2 3 5
(3)
7 - 24 - 25
(4)
dy / dx
(5)
FOR - NEXT
(6)
(0, 0)
(7)
5/9 (F - 32)
(8)
NO GOTO
(9)
E I PI F(X)
(10)
ELEMENTS
- In order to join the math club at Handley High, potential members must guess a secret whole number from 1 to 50,
by asking yes-or-no questions only.
Matt E. matics, an excellent logician, wanted to join, and he tried the following four questions:
(1) Is the number greater than 25?
(2) Is the number evenly divisible by 2?
(3) Is the number evenly divisible by 3?
(4) Is the number evenly divisible by 5?
After he was told the answers, he did some figuring and said, "I still don't have enough information. Is the
number a perfect square?"
When he got the reply, "No," Matt knew what the number was.
Can you determine what the number was?
- Questions for Discussion
1 2 3 4 5 __ __ __
1 1 2 3 5 __ __ __
O T T F F __ __ __
J F M A M __ __ __
M V E M J __ __ __
77 49 36 18 __
240 120 40 10 2 __
By ordering 2 boxes of 6, you can get 12.
But you cannot order 13, since no combination of 6, 9, and 20 adds up to 13.
What is the greatest number of McNuggets that you can't order?
has four children, that is all.
The first one's name is "Summer,"
The second one's name is "Fall."
"Winter" is the third one,
and that leaves just one more.
Can you guess the name of
the final babe she bore?
Paul had it behind.
Bryan never had it at all.
Ralph had it once.
All girls have it once.
Boys can't have it.
Old Mrs. Mulligan had it twice in succession.
Dr. Lowell had it before and behind -- he had it twice as much behind as before.
What is it?
Cross one letter out and leave a familiar word (the letters must remain in order).
Continue to cross out one letter to make new words -- the last letter makes a word by itself.
All my pets but 2 are cats.
All my pets but 2 are parrots.
How many pets do I have?
1 H on a U
2 H in a W
3 P in a HG
4 Q in a G
5 T on a F
6 S on a G
7 H in a HH
8 S on a SS
9 P on a BT
10 Y in a D
Start with 1000.
Add 20 to it.
Now add 30.
Now add another 1000.
Add 1000.
Now add 30.
Now add another 1000.
Now add 20.
What is the total?
| RARE DOG |
| BASIL VERMIN |
| GOOGOL DIVISION |
| comb lackey |
| TERRAPIN KING |
| Poor Angel |
| OGRE ENCLAVE |
| Eyebrow Need |
| Jodhpur Pleat |
| DELTA NATIVE |
(1) Verty Vedel, upon being healed of his blindness, shouted, "_________ ."
T S R E E C V I
(2) Motgomery Taylor Sette was called _____ _____ by his friends.
T E P Y M E S T
(3) Upon seeing the bathroom door closed, Mr. Bleecher muttered to himself,
"Is that daughter of mine _________ ?"
D Y N R C E I L
(4) The zookeeper affectionately referred to the two newborn lion cubs as a
__________ __________ .
R A L A L P E L S E I L N
(5) The sheriff after discovering the escaped prisoner's underground hideout,
radioed his deputy, "I have fouund the _________ ."
A C E N V O C
(6) Ferd Freezin, local ice plant manager, described his uncomfortable
working conditions as follows, "It's ________ ."
R N L A I O E L C
(7) What do you call it when a toilet flushes in an airplane?
Y E S H E N O T U P
(8) B. A. Hunter, the noted buffalo hunter and zoid catcher, entitled his
latest book, "How to _________ ."
Z I P E R T O A D
| (1) |
| |
|---|---|---|
| (2) |
| |
| (3) |
| |
| (4) |
| |
| (5) |
| |
| (6) |
| |
| (7) |
| |
| (8) |
| |
| (9) |
| |
| (10) |
|
Matt E. matics, an excellent logician, wanted to join, and he tried the following four questions:
(1) Is the number greater than 25?
(2) Is the number evenly divisible by 2?
(3) Is the number evenly divisible by 3?
(4) Is the number evenly divisible by 5?
After he was told the answers, he did some figuring and said, "I still don't have enough information. Is the number a perfect square?"
When he got the reply, "No," Matt knew what the number was.
Can you determine what the number was?
Answers
--------------------
-
6 7 8 (counting numbers)
8 13 21 (Fibonacci Sequence -- sum of previous two numbers)
S S E (first letter of counting numbers)
J J A (first letter of the months)
S U N (first letter of the planets)
8 (the product of the digits in the previous number)
1/3 (take 1/2 the previous number, then 1/3, 1/4, 1/5, and finally 1/6)
- The greatest number that you can't order is 43 McNuggets.
44 = 4 x 6 + 20
45 = 3 x 9 + 3 x 6
46 = 2 x 20 + 6
47 = 3 x 9 + 20
48 = 8 x 6
49 = 9 + 2 x 20
You can get all numbers greater than 49 by adding multiples of 6 to the numbers above.
- The fourth child was Henry (see first line of poem).
- The letter L.
- S T A R T L I N G.
S T A R L I N G.
S T A R I N G.
S T R I N G.
S T I N G.
S I N G.
S I N .
I N .
I .
- Three pets -- 1 dog, 1 cat, 1 parrot.
- 1 Horn on a Unicorn
2 Halves in a Whole or 2 Hydrogens in a Water
3 Periods in a Hockey Game
4 Quarters in a Game or 4 Quadrants in a Grid or 4 Quarts in a Gallon
5 Toes on a Foot
6 Strings on a Guitar
7 Holes in a Human Head
8 Sides on a Stop Sign
9 Players on a Baseball Team
10 Yards in a Down or 10 Years in a Decade
- The total is 4,100.
- If you take the end of the first word and combine it with the beginning of the second word,
you will get the name of a color -- the color in which the phrase is written.
The colors are RED, SILVER, GOLD, BLACK, PINK, ORANGE, GREEN, BROWN, PURPLE, and TAN.
- The Math Vocabulary answers are:
(1) Vertices (Verty sees)
(2) Empty Set (M.T. Sette)
(3) Cylinder (still in their)
(4) Parallel Lines (pair a lil lions)
(5) Concave (Con Cave)
(6) Collinear (cold in here)
(7) Hypotenuse (high pot in use)
(8) Trapezoid (trap a zoid)
- Here are the owners of the Vanity Plates:
(1) Pascal (Pascal's Triangle)
(2) Fibonacci (Fibonacci sequence 1, 1, 2, 3, 5, 8, ...)
(3) Pythagoras (Pythagorean triple)
(4) Leibniz (Leinbiz's notation for derivative)
(5) John Kemeny (authored BASIC computer language)
(6) Descartes (founder of Coordinate Geometry)
(7) Celsius (formula for Celsius temperature)
(8) Nicolas Wirth (developed structured computer langauage)
(9) Euler (developed math notation for e, i, pi, f(x))
(10) Euclid (wrote The Elements)
- The secret number is five.
- Answers to the Questions for Discussion:
(1) It depends on the value of x:
If x is negative, then -x is larger; if x is positive, then x is larger;
if x is zero, then x = -x.
(2) When x is negative or zero.
(3) For positive numbers less than 1 and negative numbers less than -1.
(4) For positive numbers less than 1.
(5) No real numbers make this statement true.
(6) No. For example, a = 3 and b = -3.
(7) No real numbers make this statement true. It is equal to (x + 2) squared.
(8) No real numbers make this statement true.
(9) 22/7 is largest (3.14285...), Pi is next = 3.14159..., and 3.14 is smallest.
(10) There are several answers:
a = 3, b = 3, c = 3 and
a = 3, b = 6, c = 2
8 13 21 (Fibonacci Sequence -- sum of previous two numbers)
S S E (first letter of counting numbers)
J J A (first letter of the months)
S U N (first letter of the planets)
8 (the product of the digits in the previous number)
1/3 (take 1/2 the previous number, then 1/3, 1/4, 1/5, and finally 1/6)
44 = 4 x 6 + 20
45 = 3 x 9 + 3 x 6
46 = 2 x 20 + 6
47 = 3 x 9 + 20
48 = 8 x 6
49 = 9 + 2 x 20
You can get all numbers greater than 49 by adding multiples of 6 to the numbers above.
S T A R L I N G.
S T A R I N G.
S T R I N G.
S T I N G.
S I N G.
S I N .
I N .
I .
2 Halves in a Whole or 2 Hydrogens in a Water
3 Periods in a Hockey Game
4 Quarters in a Game or 4 Quadrants in a Grid or 4 Quarts in a Gallon
5 Toes on a Foot
6 Strings on a Guitar
7 Holes in a Human Head
8 Sides on a Stop Sign
9 Players on a Baseball Team
10 Yards in a Down or 10 Years in a Decade
The colors are RED, SILVER, GOLD, BLACK, PINK, ORANGE, GREEN, BROWN, PURPLE, and TAN.
(1) Vertices (Verty sees)
(2) Empty Set (M.T. Sette)
(3) Cylinder (still in their)
(4) Parallel Lines (pair a lil lions)
(5) Concave (Con Cave)
(6) Collinear (cold in here)
(7) Hypotenuse (high pot in use)
(8) Trapezoid (trap a zoid)
(1) Pascal (Pascal's Triangle)
(2) Fibonacci (Fibonacci sequence 1, 1, 2, 3, 5, 8, ...)
(3) Pythagoras (Pythagorean triple)
(4) Leibniz (Leinbiz's notation for derivative)
(5) John Kemeny (authored BASIC computer language)
(6) Descartes (founder of Coordinate Geometry)
(7) Celsius (formula for Celsius temperature)
(8) Nicolas Wirth (developed structured computer langauage)
(9) Euler (developed math notation for e, i, pi, f(x))
(10) Euclid (wrote The Elements)
(1) It depends on the value of x:
If x is negative, then -x is larger; if x is positive, then x is larger;
if x is zero, then x = -x.
(2) When x is negative or zero.
(3) For positive numbers less than 1 and negative numbers less than -1.
(4) For positive numbers less than 1.
(5) No real numbers make this statement true.
(6) No. For example, a = 3 and b = -3.
(7) No real numbers make this statement true. It is equal to (x + 2) squared.
(8) No real numbers make this statement true.
(9) 22/7 is largest (3.14285...), Pi is next = 3.14159..., and 3.14 is smallest.
(10) There are several answers:
a = 3, b = 3, c = 3 and
a = 3, b = 6, c = 2