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Transcript of Susan Conover BRAIN TEASERS MATH BRAIN TEASERS · PDF fileDaily Warm-Ups: Math Brain Teasers...
MATH BRAIN TEASERS
Susan Conover
MATH BRAIN TEASERS
Susan Conover
ii ii iiTable of Contents
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Numbers, Numeration, Operations, and Patterns . . . . . . 1
Geometry and the Coordinate Plane . . . . . . . . . . . . . . . 36
Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
Data Analysis, Statistics, Combinations, and Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
Fractions, Ratios, Decimals, and Percents . . . . . . . . . . 156
ii ii iiTable of Contents
DDaaii llyy WWaarrmm--UUppss:: MMaatthh BBrraaiinn TTeeaasseerrss
Numbers, Numeration, Operations, and Patterns . . . . . . 1
Geometry and the Coordinate Plane . . . . . . . . . . . . . . . 36
Money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
Measurement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
Data Analysis, Statistics, Combinations, and Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
Fractions, Ratios, Decimals, and Percents . . . . . . . . . . 156
If today is April 23, 2006, write the exact age of a personborn on March 9, 2001, using the Mayan method of calendartime. (Assume there are no leap years.)
The Mayans of Mexico used a method of dots and lines to show aperiod of time. Each dot represents a unit, and each bar represents5 units. From the bottom position to the top position, the symbolsrefer to the number of days, months, and years, respectively. Theexample below shows 15 years, 11 months, and 8 days.
© 2005 Walch Publishing
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(15 years)
(2 � 5 + 1 = 11 months)
(3 + 5 = 8 days)
If today is April 23, 2006, write the exact age of a personborn on March 9, 2001, using the Mayan method of calendartime. (Assume there are no leap years.)
The Mayans of Mexico used a method of dots and lines to show aperiod of time. Each dot represents a unit, and each bar represents5 units. From the bottom position to the top position, the symbolsrefer to the number of days, months, and years, respectively. Theexample below shows 15 years, 11 months, and 8 days.
© 2005 Walch Publishing
88
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(15 years)
(2 � 5 + 1 = 11 months)
(3 + 5 = 8 days)
Prime factorization is finding the factors of a number that are allprime numbers.
To find the prime factors of a number, you start by finding twofactors. If either factor is not a prime number, find factors for thatfactor. Continue the process until all your factors are prime.
Find factors and multiples that will correctly complete the primefactorization diamond below. Hint: The same number appears inthe boxes at both ends.
©2005 Walch Publishing
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Prime factorization is finding the factors of a number that are allprime numbers.
To find the prime factors of a number, you start by finding twofactors. If either factor is not a prime number, find factors for thatfactor. Continue the process until all your factors are prime.
Find factors and multiples that will correctly complete the primefactorization diamond below. Hint: The same number appears inthe boxes at both ends.
©2005 Walch Publishing
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It is said that a picture is worth a thousand words. Sometimes, youcan make words act like pictures. This shows their meaningsvisually. For example, perpendicular lines are lines at right anglesto each other. So you might write the term like this:
Try your hand at being clever. Think of a fun way to write thefollowing words.
obtuse perimeter
acute volume
equilateral triangle
©2005 Walch Publishing
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It is said that a picture is worth a thousand words. Sometimes, youcan make words act like pictures. This shows their meaningsvisually. For example, perpendicular lines are lines at right anglesto each other. So you might write the term like this:
Try your hand at being clever. Think of a fun way to write thefollowing words.
obtuse perimeter
acute volume
equilateral triangle
©2005 Walch Publishing
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Leon was preparing drawings for a new building. He had to drawfour separate views: one from directly in front; one from directlyabove; one directly from the side; and one at an angle, showingthe building in perspective.
Leon has done the first three views. Can you combine them to dothe fourth view, showing the completed building?
©2005 Walch Publishing
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Front Top Side
Leon was preparing drawings for a new building. He had to drawfour separate views: one from directly in front; one from directlyabove; one directly from the side; and one at an angle, showingthe building in perspective.
Leon has done the first three views. Can you combine them to dothe fourth view, showing the completed building?
©2005 Walch Publishing
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Front Top Side
What is the measure of the exterior angle of the isosceles-shapedtepee?
© 2005 Walch Publishing
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25˚
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What is the measure of the exterior angle of the isosceles-shapedtepee?
© 2005 Walch Publishing
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25˚
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If the crank is turned clockwise, which way should the hamster run?
©2005 Walch Publishing
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If the crank is turned clockwise, which way should the hamster run?
©2005 Walch Publishing
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The rules of a coin game state that a move is a jump over one ortwo coins at a time. What is the smallest number of moves itwould take to get the following coins in the order P–P–P–N–N–N,with no gaps between coins?
© 2005 Walch Publishing
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The rules of a coin game state that a move is a jump over one ortwo coins at a time. What is the smallest number of moves itwould take to get the following coins in the order P–P–P–N–N–N,with no gaps between coins?
© 2005 Walch Publishing
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A counterfeiter was trying to print his own money, and he cameup with this version of a dollar bill. However, he has made a fewmistakes. Can you find four errors on this fake bill?
©2005 Walch Publishing
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A counterfeiter was trying to print his own money, and he cameup with this version of a dollar bill. However, he has made a fewmistakes. Can you find four errors on this fake bill?
©2005 Walch Publishing
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Little Red Riding Hood’s grandmother has given her a big jar that
she has been using to collect coins. Among the coins are 18
quarters. Her grandmother says that she can have all the coins if
of the quarters go into her college savings account, of
them go toward a new CD player, and go toward something
fun. After happily agreeing to this, Little Red digs through the
quarters and finds that one quarter is actually a subway token.
How many quarters should go in each category?
© 2005 Walch Publishing
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Little Red Riding Hood’s grandmother has given her a big jar that
she has been using to collect coins. Among the coins are 18
quarters. Her grandmother says that she can have all the coins if
of the quarters go into her college savings account, of
them go toward a new CD player, and go toward something
fun. After happily agreeing to this, Little Red digs through the
quarters and finds that one quarter is actually a subway token.
How many quarters should go in each category?
© 2005 Walch Publishing
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You may have heard the story of how Hannibal crossed the Alpswith an army and a number of elephants. To move all his supplies,he must have used carts as well as elephants.
Imagine that some of Hannibal’s carts had three wheels, one in thefront and two in the back. For safety, each had a spare wheel, andthe wheels were rotated so that all four wheels got the sameamount of wear.
If Hannibal’s entire route was 1,000 miles long, how many miles ofwear were put on each wheel?
© 2005 Walch Publishing
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You may have heard the story of how Hannibal crossed the Alpswith an army and a number of elephants. To move all his supplies,he must have used carts as well as elephants.
Imagine that some of Hannibal’s carts had three wheels, one in thefront and two in the back. For safety, each had a spare wheel, andthe wheels were rotated so that all four wheels got the sameamount of wear.
If Hannibal’s entire route was 1,000 miles long, how many miles ofwear were put on each wheel?
© 2005 Walch Publishing
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What is the area of the shaded portion of the circle?
©2005 Walch Publishing
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7 in.
What is the area of the shaded portion of the circle?
©2005 Walch Publishing
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Berto’s Buckets manufactures buckets in many different sizes. Berto is trying to describe all the sizes in a certain product line to a customer, but he has forgotten a few. The sizes increase accordingto a regular pattern.
Help Berto find the sizes of the missing buckets.
Size 1 Size 2 Size 3
1 quart 1 gallon ________________
Size 4 Size 5 Size 6
4 gallons ________________ 9 gallons
© 2005 Walch Publishing
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Berto’s Buckets manufactures buckets in many different sizes. Berto is trying to describe all the sizes in a certain product line to a customer, but he has forgotten a few. The sizes increase accordingto a regular pattern.
Help Berto find the sizes of the missing buckets.
Size 1 Size 2 Size 3
1 quart 1 gallon ________________
Size 4 Size 5 Size 6
4 gallons ________________ 9 gallons
© 2005 Walch Publishing
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Complete the proverb by first unscrambling the letters to makewords. Then use the letters in the circles to form another newword. This word completes the proverb.
“___ ___ ___ ___ waits for no man.”
RAYE
HNMTO
TYECNUR
ILNINMELUM
©2005 Walch Publishing
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Complete the proverb by first unscrambling the letters to makewords. Then use the letters in the circles to form another newword. This word completes the proverb.
“___ ___ ___ ___ waits for no man.”
RAYE
HNMTO
TYECNUR
ILNINMELUM
©2005 Walch Publishing
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What is the perimeter of the net that could be folded to form this box?
©2005 Walch Publishing
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4 meters
5 meters
6 meters
What is the perimeter of the net that could be folded to form this box?
©2005 Walch Publishing
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4 meters
5 meters
6 meters
Find the decimal word parts hidden in the puzzle below.
Meaning Word Part Meaning Word Part
kilo- 1,000 deci-
hecto- 100 centi-
deka- 10 milli-
© 2005 Walch Publishing
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110
1100
11,000
Find the decimal word parts hidden in the puzzle below.
Meaning Word Part Meaning Word Part
kilo- 1,000 deci-
hecto- 100 centi-
deka- 10 milli-
© 2005 Walch Publishing
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110
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11,000
All the students in a science class also take a math class. Half ofthe students who play baseball also take a math class. One-quarterof the students in the math class also take a science class. Sixtystudents play baseball. Forty students take a science class. Nobodywho plays baseball takes a science class.
How many students who take a math class neither take a scienceclass nor play baseball?
©2005 Walch Publishing
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All the students in a science class also take a math class. Half ofthe students who play baseball also take a math class. One-quarterof the students in the math class also take a science class. Sixtystudents play baseball. Forty students take a science class. Nobodywho plays baseball takes a science class.
How many students who take a math class neither take a scienceclass nor play baseball?
©2005 Walch Publishing
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In a first-grade class, a teacher places the following cards on atable.
He then flips the cards over and mixes them up. He asks astudent to pick up cards randomly and turn them over until shecan make the word CAT.
What is the probability of the student making the wordCAT on her first try without replacing any cards?
©2005 Walch Publishing
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A A A A C C T T T
In a first-grade class, a teacher places the following cards on atable.
He then flips the cards over and mixes them up. He asks astudent to pick up cards randomly and turn them over until shecan make the word CAT.
What is the probability of the student making the wordCAT on her first try without replacing any cards?
©2005 Walch Publishing
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A A A A C C T T T
In genetics, some traits are dominant, and some are recessive. Adominant gene is shown with a capital letter. A recessive gene is
shown with a small letter. If someone inherits both a dominantgene and a recessive gene for the same trait, the dominant gene will
appear. The recessive gene only appears if the person inherits tworecessive genes for the trait.
A woman with brown eyes (Bb) marries a man with blue eyes (bb). Theydecide to have children. The square shows the possible combinations of genesfor eye color their children could receive.
If the woman and her husband have 3 children, what are the chances thatall 3 children will have blue eyes?
©2005 Walch Publishing
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B
Bb
Bb bb
bb
b
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bFather
Mother
In genetics, some traits are dominant, and some are recessive. Adominant gene is shown with a capital letter. A recessive gene is
shown with a small letter. If someone inherits both a dominantgene and a recessive gene for the same trait, the dominant gene will
appear. The recessive gene only appears if the person inherits tworecessive genes for the trait.
A woman with brown eyes (Bb) marries a man with blue eyes (bb). Theydecide to have children. The square shows the possible combinations of genesfor eye color their children could receive.
If the woman and her husband have 3 children, what are the chances thatall 3 children will have blue eyes?
©2005 Walch Publishing
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