Group Warm-Ups - Estimation. If… Hershey Bars are 51% sugar Then… What is the percentage of...
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Transcript of Group Warm-Ups - Estimation. If… Hershey Bars are 51% sugar Then… What is the percentage of...
If… Hershey Bars are 51% sugarThen…What is the
percentage of sugar for:
• Ritz Crackers• Jello• Cracker
Jacks• Catsup• Tang
Group Estimate
After First Clues
After Computation
Clues
Final Answer
Ritz Crackers
Jello
Cracker Jacks
Catsup
Tang
Clues• First Clues
– Three of the items have a lesser percentage of sugar than the Hershey bar.
– None are multiples of five.
• Computation Clue– The sum of the numbers is 205
• Final Clues– Ritz Crackers: number of inches in a foot– Jello: 17 less than the number of centimeters in a
meter– Cracker Jacks: 4 more than 8 squared– Catsup: 4 more than the percentage for 1/4– Tang: 1 more than the number of months in a year
If… The Richter scale measures earthquakes from 1 to 9 inclusive
Then…What number
designates:• Major quake (lost
lives, buildings destroyed
• Felt only by scientific instruments
• Maximum quake (none yet measured this high)
• Walls may crack, household objects may fall
• Felt by most people (little damage)
Group Estimate
After First Clues
After Computation
Clues
Final Answer
Major Quake
Scientific Instruments
Max Quake
Walls Crack
Little Damage
Clues• First Clue
– All the numbers are odd
• Computation Clue– The sum of the first two is equal to the sum of the last
two
• Final Clues– Major quake: Number of days in a week– Scientific Instruments: Number of right angles
possible in a triangle– Max Quake: The largest digit on a clock– Walls crack: Number of sides on a pentagon– Little damage: half of half a dozen
If… A moderate breeze on the Beaufast Wind Scale is 4 (in a range of 0 through 12)
Then…
What is the number or force of a…
• Storm• Gentle breeze• Gale• Hurricane• Calm
Group Estimate
After First Clues
After Computation
Clues
Final Answer
Storm
Gentle Breeze
Gale
Hurricane
Calm
Clues• First Clues
– Only one of the numbers is odd– One of the numbers is twice that of a moderate
breeze.
• Computation Clue– The sum of the numbers is 33
• Final Clues– Storm: the basis of our number system.– Gentle Breeze: The number of equal sides on an
equilateral triangle– Gale: The number of sides on a stop sign– Hurricane: Half of two dozen– Calm: A digit that cannot be a divisor by itself
If… Texas became the 28th U.S. State
Then…
What number state was…
• North Dakota• Illinois• Hawaii• California• Virginia
Group Estimate
After First Clues
After Computation
Clues
Final Answer
North Dakota
Illinois
Hawaii
California
Virginia
Clues• First Clues
– 2 of the listed states entered the U.S. earlier than Texas– All of the numbers are two-digit numbers, but only one is an
even number– Three of the number have an odd digit in the ten’s place
• Computation Clue– The sum of the numbers is 150– The difference between the largest and the smallest number is
39
• Final Clues– North Dakota: Three more than three dozen– Illinois: Four cents less than a quarter– Hawaii: 7 squared– California: The number of days in March– Virginia: the smallest two-digit number
If… A volleyball is 26”-27” in circumference
Then…What is the
approximate circumference (nearest whole number) of…
• Bowling ball• Football (long
axis)• Tennis ball• Basketball• Golf ball
Group Estimate
After First Clues
After Computation
Clues
Final Answer
Bowling Ball
Football
Tennis Ball
Basketball
Golf Ball
Clues• First Clues
– Two of the balls have a circumference larger than a volleyball while two have a circumference smaller than a volleyball
– Four of the five numbers are multiples of 3
• Computation Clue– The sum of the numbers is 100
• Final Clues– Bowling ball: 3 cents less than the value of 3 dimes– Football: half of 56– Tennis ball: number of inches in a quarter of a yard– Basketball: number of centimeters in 3/10 of a meter– Golf ball: number of sides on a hexagon
If… China is the 3rd largest country in the world in area
Then…What number
corresponds (for relative size position) to
• Australia• Canada• Greenland• Mexico• U.S.
Group Estimate
After First Clues
After Computation
Clues
Final Answer
Australia
Canada
Greenland
Mexico
U.S.
Clues• First Clues
– All the numbers are even– Only two of the numbers are two-digit numbers– All of the countries rank in the top 30 for size
• Computation Clue– The sum of the numbers is 38
• Final Clues– Australia: number of months in half a year– Canada: the smallest prime number– Greenland: 8 less than 1/5 of 100– Mexico: half the number of days in February 1991– U.S.: The smallest even square counting number
If… The maximum speed of a giraffe is 32 miles per hour
Then…What is the
maximum speed in miles per hour of a
• lion• cheetah• Cat (domestic)• pig• man
Group Estimate
After First Clues
After Computation
Clues
Final Answer
lion
cheetah
cat
pig
man
Clues• First Clues
– All numbers are two-digit– Two of the animals have a greater speed than the
giraffe while 3 have a lesser speed
• Computation Clue– The sum of the numbers is 189
• Final Clues– Lion: half of one hundred– Cheetah: 30 less than 10 squared– Cat: 6 more than two dozen– Pig: number of days in February in a non-leap year– Man: 1 more than the basis of our number system
If… The average lifespan of a rabbit is six years
Then…What is the average
lifespan of a • chimpanzee• mouse• crocodile• cheetah• deer
Group Estimate
After First Clues
After Computation
Clues
Final Answer
chimp
mouse
crocodile
cheetah
deer
Clues• First Clues
– All the numbers are multiples of four– Only one of the animals has a lifespan less than a rabbit– Only one of the animals has a lifespan greater than 99 years
• Computation Clue– The sum of the numbers is 188– The difference between the greatest lifespan and the least
lifespan is 96
• Final Clues– Chimpanzee: 1 less than half of 90– Mouse: number of sides on a rectangle– Crocodile: number of pennies in a dollar– Cheetah: 4 squared– Deer: one less than a quarter of 100
If… The highest recorded temperature in Texas was 120°F
Then…What was the
highest recorded temperature (°F) for
• Alaska• California• Maine• Hawaii• Arizona
Group Estimate
After First Clues
After Computation
Clues
Final Answer
Alaska
California
Maine
Hawaii
Arizona
Clues• First Clues
– All the temperatures are three-digit numbers– The two lowest have the same number, which
happens to be the smallest possible three-digit number
• Computation Clue– The sum of the numbers is 566
• Final Clues– Alaska: The number of years in a century– California: 66 less than 200– Maine: 5 more than the number of centimeters in a
meter– Hawaii: 10 squared– Arizona: Half a dozen more than 11 squared
If… The calorie content for 8 ounces of whole milk (3.3% fat) is 150
Then…What is the calorie
content for 8 ounces of
• Fat free milk• Condensed milk• Lowfat milk (2%)• Evaporated milk• Lowfat milk (1%)
Group Estimate
After First
Clues
After Computation
Clues
Final Answer
Fat free
condensed
2%
evaporated
1%
Clues• First Clues
– Three have a calorie content less than whole milk while two have a calorie content more than whole milk
– 4 of the 5 numbers are 3 digit numbers• Computation Clue
– Condensed milk has more than six times the calories of whole milk while evaporated milk has slightly more than twice the calories of whole milk
• Final Clues– Fat free: 6 more than (16•5)– Condensed: 1 1/2 dozen less than 1,000– 2%: 11 squared– Evaporated: twice 169– 1%: 2 more than the number of centimeters in a
meter
If… The earth’s crust is approximately 26% silicon
Then…What percent is • iron• oxygen• aluminum• calcium• other
Group Estimate
After First
Clues
After Computation
Clues
Final Answer
iron
oxygen
aluminum
calcium
other
Clues• First Clues
– Only one of the numbers is a two-digit number– The smallest two numbers are prime
• Computation Clue– Almost 1/2 of the earth’s crust is oxygen– 25% of the earth’s crust is the combination of iron, aluminum,
calcium, and other.
• Final Clues– Iron: an odd factor of 10 larger than 1– Oxygen: the closest multiple of 7 to half 100– Aluminum: the largest even-digit– Calcium: 1 more than the number of diagonals of a rectangle– Other: the square root of the difference between the largest two-
digit multiple of ten and the largest single digit
If… A person weighing 155 pounds needs to walk 19 minutes (at 3 1/2 miles per hour) to walk off a
soda (8 oz.)
Then…How many minutes
must be walked to walk off a
• Doughnut• Apple• Ice cream• Pancake & syrup• Hamburger, bun,
sauce
Group Estimate
After First
Clues
After Computation
Clues
Final Answer
doughnut
apple
Ice cream
Pancake and syrup
Hamburger and bun,
sauce
Clues• First Clues
– Three of the foods require less than half an hour each to walk them off
– One of the foods requires slightly more than 1/2 an hour while one requires slightly more than an hour.
• Computation Clue– The sum of the five numbers is 164
• Final Clues– Doughnut: 3 less than the number of days in September– Apple: 1 1/2 dozen– Ice cream: twice 17– Pancake & Syrup: 1 more than the number of minutes in 1/3 of
an hour– Hamburger, bun, and sauce: 4 more than the number of
seconds in a minute
If… On an average day, about 10,500 new Americans are born
Then…What is the approximate
number on an average day (in America) for
• Sets of twins born• Americans having
birthdays• Americans becoming
teenagers• Americans turning 65• Americans turning
100
Group Estimate
After First
Clues
After Computation
Clues
Final Answer
twins
birthdays
teenagers
65
100
Clues• First Clues
– One number is a 6-digit number and one number is a two digit number
– Two numbers are 4-digit numbers– The largest three numbers are rounded to the nearest hundred
• Computation Clue– The sum of the smallest two numbers is 252– The sum of the largest two numbers is 682,500– The difference between the third and fourth largest numbers is
2,800
• Final Clues– Twins: 17 more than the number of years in two centuries– Birthdays: 700 more than 673,000– Teenagers: 1,200 less than ten thousand– 65: number of pounds in 3 tons– 100: multiple of 5 (but not 10) between 26 and 44