Group Warm-Ups - Estimation

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