1. Group Warm-Ups - Estimation

2. If… Hershey Bars are 51% sugar Then… 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. If… Texas became the 28 th 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

9. 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

10. 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

11. 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

12. If… China is the 3 rd 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.

13. 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

14. 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

15. 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

16. 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

17. 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

18. 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

19. 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

20. 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%

21. 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 (165) –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

22. 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

23. 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

24. 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

25. 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

26. 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

27. 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