Math Field Day 2011 - California State University, Fresno · 2015-04-27 · Math Field Day 2011 CSU...

Math FieldDay 2011

CSU Fresno

Math Field Day 2011Mad Hatter 6-8

CSU Fresno http://www.csufresno.edu/math

16 April 2011

Math FieldDay 2011

CSU Fresno

Mad Hatter 6-8

The Mad Hatter Marathon is a competition in rapidcomputation and problem solving. You will find that you donot have time to solve every problem. After a few minutesyou may feel “mentally out of breath.” Do not let thisdiscourage you. Your fellow contestants feel the same way.That is why this contest is called Mad Hatter Marathon!

Math FieldDay 2011

CSU Fresno

Mad Hatter 6-8

The Mad Hatter Marathon is divided into two problemsolving periods, each lasting 45 minutes. Between the twoperiods there will be a 15 minute break.

Math FieldDay 2011

CSU Fresno

Part I

Part I:Problems 1-15

Part I:Problems16-30

Part I

This part of the exam consists of 30 problems.

The problems will be shown one at a time.

You will have one and a half minutes to solve theproblem shown.

After one and a half minutes a new problem will beshown.

You may move to a new question without solving theold one.

As soon as you have solved the problem mark your answerin the corresponding space on the Scantron form.

Math FieldDay 2011

CSU Fresno

Part I



Rules and Scoring

You may use pencil and scratch paper to do calculations,but calculators are not allowed.

Your score is the total number of correct answers, so givethe best answer that you can in the time available for eachproblem. There is no penalty for guessing.

Math FieldDay 2011

CSU Fresno

Part I



Ready... Set... Go!

Prepare to begin the Mad Hatter Marathon!

Math FieldDay 2011

CSU Fresno

Part I

Part I:Problems 1-15Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 1

If 20% of a number is 12, what is 30% of the same number?A 20B 24C 15D 30E 18

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 2

The sum1 + 2 + 3 + 4 + 5 + · · ·+ 2011

is equal to:

A 1,968,407B 2,023,066C 2,011,314D 5,357,896E 2,205,500

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 3

Ten contestants competed on a game show. The first sixcontestants won an average of $80. The next four won anaverage of $70. The ten contestants won an average of:

A $74B $78C $76D $72E $75

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 4

An athlete’s target heart rate, in beats per minute, is 80% ofthe theoretical maximum heart rate. The maximum heartrate is found by subtracting the athlete’s age, in years, from220. To the nearest whole number, what is the target heartrate of an athlete who is 27 years old?

A 135B 154C 172D 196E 237

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 5

How many cubes in the 20th structure?A 28B 37C 59D 43E 40

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 6

Uncle bookworm eats two books a week; Aunt bookwormeats one book every two months. In a year Uncle eats howmany more books than Aunt eats?

A 20B 98C 108D 54E 76

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 7

If the distancebetween dots along a row andalong a column is 1 unit, thenthe area of the parallelogramin square units is:

A 4 square unitsB 5 square unitsC 6 square unitsD 6.5 square unitsE 8 square units

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 8

In a recent month, the dates of three Sundays were evennumbers. What day of the week was the 19th of the month?

A MondayB TuesdayC WednesdayD ThursdayE Friday

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 9

Zelda has 16 CD’s, 28 DVD’s, and 60 cassette tapes. Shewould like to share these items with three of her friends. IfZelda’s share is equal to that of her friends, how many itemswill each person receive?

A 108B 26C 30D 52E 24

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 10

This year there were 11 × 121 − 11 × 11 fewer turkeyseaten than last year. How many fewer turkeys were eatenthis year?

A 120B 121C 1200D 1210E none of these

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 11

Solve for X :

(2011 + 2010 + 2009)− (2008 + 2007 + 2006) = 2000 − X


Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 12

A bakery lowered its price for cookies from $0.50 to $0.40each. If Mick has $4, how many more cookies can he buynow than he could before?

A 1B 2C 3D 4E 5

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 13

Grawp wrote a word in secret code. In this code, thenumber 26 stood for the letter “A”, the number 25 stood for“B”, and so on. In this code, the sequence 9 26 11 11 2represents which word?

A RAPPYB DOTTYC HAPPYD RATTYE PATTY

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 14

What is the sum of the two largest primes less than 40?A 70B 52C 64D 68E 76

Math FieldDay 2011

CSU Fresno

Part I


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Part I - Problem 15

Twenty-seven minutes after 11 A.M. is how many minutesbefore 1 P.M.?

A 33B 87C 63D 107E 93

Math FieldDay 2011

CSU Fresno

Part I


Part I:Problems16-30Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 16

20112011201120112011÷ 2011 is equal to:A 11111B 1001001001001001C 1001001001001D 10001000100010001E 1000100010001

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 17

(2011 − 2009)× (2009 − 2007)× (2007 − 2005)× · · · ×(5 − 3)× (3 − 1) =

A 21005

B 22011

C 24020

D 21010

E 2510

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 18

52 teeth

24 teeth

How many revolutions must the large gear make before thearrows line up again?

A 6B 4C 24D 9E 12

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 19

When you divide(1 + 4) + (1 + 8) + (1 + 12) + (1 + 16) + (1 + 20) + (1 + 24)by 4 the remainder is:


Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 20

Yoda has seven coins worth a total of $0.49. How manynickels does he have?

A 0B 1C 2D 4E 6

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 21

500 nickels have the same value as how many quarters?A 100B 250C 50D 75E 200

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 22

If 3 of every 150 astronauts walk on the moon, then whatpercentage of all astronauts walk on the moon?

A 15B 50C 2D 10E 3

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 23

Two six-sided dice are rolled, each with two black, twogreen, and two red faces. What is the probability that bothdice show the same color?

A 1/3B 1/12C 1/36D 1/9E none of these

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 24

At most how many students can sit in a row of 25 chairs, ifseated students must be separated by at least one emptychair?

A 12B 24C 17D 13E 15

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 25

The difference between 57 and its reciprocal is:

A 357

B 2435

C 1935

D 75

E 17

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 26

On my scooter, the rear wheel’s diameter is 5 centimetersmore than the front wheel’s diameter. How much bigger isthe rear wheel’s circumference?

A 10π centimetersB 5π centimetersC 25π2 centimetersD 2.5π centimetersE 15π centimeters

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 27

Pictured

2 √3

is a regular hexagon.What is its area?

A 2√

3B 3

√3

C 6√

3D 12

√3

E None of these

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 28

If 10 widgets = 15 gloops, then 24 gloops = ?widgets.

A 32B 16C 12D 36E 14

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 29

In the number 0.1234512345 . . . (recurring) what is the2011th digit after the decimal point?

A 1B 2C 3D 4E 5

Math FieldDay 2011

CSU Fresno

Part I



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Part I - Problem 30

If 2/3 of a cup of fish food can feed 12 goldfish, then 4 cupsof food should be able to feed how many goldfish?

A 18B 76C 72D 64E 48

Math FieldDay 2011

CSU Fresno

Part II

Part II:Problems 1-15

Part II:Problems16-30

Solutions

Mad Hatter - Part 2

The rules for this part of the exam are the same as theprevious part.

This part of the exam consists of 30 problems.

The problems will be shown one at a time.

You will have one and a half minutes to solve theproblem shown.

After one and a half minutes a new problem will beshown.

You may move to a new question without solving theold one.

As soon as you have solved the problem mark your answerin the corresponding space on the Scantron form.

Math FieldDay 2011

CSU Fresno

Part II



Solutions

Ready... Set... Go!

Prepare to restart the Mad Hatter Marathon!

Math FieldDay 2011

CSU Fresno

Part II

Part II:Problems 1-15Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 1

If the Weasleys’ Wizard Wheezes “OPEN” sign is a squarewith a perimeter of 12 feet, then the area of the sign is:

A 3 square feetB 16 square feetC 9 square feetD 18 square feetE 24 square feet

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 2

The average of seven whole numbers is 7. If six of thenumbers are 1, then the seventh number is:

A 7B 1C 43D 28E 49

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 3

A dealer paid Bunny Fufu 50 cents for each of his decoratedeggs. The dealer then sold each egg for $5. Bunny Fufu gotwhat percentage of the purchase price for his eggs?

A 2%B 25%C 5%D 20%E 10%

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 4

When fully expanded, 1000999 has how many digits?A 999B 9,000C 3,004D 2,998E 8,997

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 5

How many of the twelve positive factors of 200 are divisibleby 4?

A 4B 7C 6D 8E 10

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 6

The Terex Titan dump truck can carry 283,520 kgs of sand.Brak’s pickup truck can carry 650 kgs. How many full loadsof sand must Brak haul in order to equal one full load of theTerex Titan?

A less than 300 loadsB between 300 and 400 loadsC between 401 and 500 loadsD between 501 and 600 loadsE more than 600 loads

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 7

32011 + 32011 + 32011 = . . .

A 36033

B 92011

C 96033

D 92012

E 32012

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 8

If you have seven flavors of ice cream and three types ofcones, how many different single scoop ice cream conescan you make?

A 21B 7C 10D 35E 24

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 9

Data gained weight each week over a six-week period. Hisgains were recorded as

1.1 lbs 0.75 lb 1.2 lbs 0.5 lb 1.3 lbs 0.25 lb

What was Data’s average weekly gain in pounds?A 0.9 lbsB 0.85 lbsC 1.2 lbsD 0.78 lbsE 1.05 lbs

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions

Part II - Problem 10

1 = 1

3 + 5 = 8

7 + 9 + 11 = 27

13 + 15 + 17 + 19 = 64

21 + 23 + 25 + 27 + 29 = 125

If this number triangle continues indefinitely with the samepattern, what is the sum of the 9th row?

A 640B 1000C 1225D 729E 947

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions


♣ ♣ ♠ ♥ ♠ ♦ ♣ ♣ ♠ ♥ ♠ ♦ ♣ · · ·

If this pattern continues indefinitely, what symbol will be inthe 460th square?

A ♠B ♥C ♦D ♣

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions


Banjo the monkey has a fair coin with one side colored blueand the other side colored red. If he flips the coin threetimes, what is the probability that the outcome is two redand one blue (not necessarily in that order)?

A 12

B 13

C 14

D 38

E 18

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions


Wario made a list of three-digit whole numbers, and everydigit used was odd. At most how many different numberswere on his list?

A 75B 625C 525D 125E 150

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions


Last Saturday, Amelie sold her paintings at a local fleamarket. In the morning she sold one-third of the paintings.She sold one-fourth of the remaining paintings in theafternoon. When the market closed she had 9 paintings left.How many paintings did she bring to to the market with herthat morning?

A 24B 16C 20D 26E 18

Math FieldDay 2011

CSU Fresno

Part II


Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15


Solutions


A domino set contains all numberpairs from double-zero to double-sixwith each number pair occurring onlyonce. For example the pictured dominocounts as two-four and four-two.How many dominos are in the set?

A 18B 24C 36D 28E 32

Math FieldDay 2011

CSU Fresno

Part II


Part II:Problems16-30Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


Sue is twice as old as her sister Kate. If Kate was seven ayear ago, how old will Sue be three years from now?

A 11B 17C 12D 15E 19

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


COKIESO

COKIESO

COKIESO

In Amidala’s kitchen are three cookie jars, painted red, blue,and green. The green jar has two more cookies than theblue jar, and the blue jar has two more cookies than the redjar. If there is a combined total of 30 cookies in the threejars, then how many cookies are in the red jar?

A 7B 10C 8D 6E 11

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


A company is considering the installation of a solar powersystem in order to save on utility bills. The cost of installingthe system is $15,000 and the monthly savings would be$100. How many years would it take the company to recoupthe cost of installing the system?

A 1212 years

B 1014 years

C 1434 years

D 1134 years

E 1214 years

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


7 kilograms plus 27 grams plus 71 milligrams equals howmany grams?

A 103B 727.21C 7027.71D 7027.071E 7.98

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


What fraction of the circle is colored?

A 36

B 46

C 34

D 45

E 512

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


Pictured is a square.

2

The four circular arcs eachhave their center at a cornerof the square. What is thearea of the shaded region?

A π

B 2C π − 2D π

2E 4 − π

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


If this pattern continues, how many white triangles will therebe in the next figure?

A 33B 60C 81D 48E 40

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


Of the following, which has an odd quotient when divided by2?

A 456,456,456,456,456B 678,678,678,678,678C 432,432,432,432,432D 876,876,876,876,876E 380,380,380,380,380

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


Pretend your class has fewer than 40 students. When yourclass gets into groups of 5 there are two students left over.When your class gets into groups of 7, there are fourstudents left over. How many students are in your class?

A 17B 32C 37D 27E 22

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


If my bad hair day began 840 minutes before 8:40 PM, thenmy bad hair day began at:

A 7:40 AMB 7:20 AMC 8:40 AMD 6:10 AME 6:40 AM

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


Madeleine has two 600 ml pitchers of orange juice. Onepitcher is 1/3 full and the other is 2/5 full. If she adds waterto fill each pitcher completely, then pours both pitchers intoone large container, what fraction of the mixture in the largecontainer is orange juice?

A 3/8B 1/8C 11/30D 4/15E 9/16

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


x

y

( 12, 84 )

( 24, 120 )

( 0, A )

What is the value of A above?A 84B 12C 26D 48E 50

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


Clank imagined two thousand whole numbers whoseproduct is equal to 2000. What is the greatest possible sumof Clank’s numbers?

A 2011B 3999C 5015D 407E 9831

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


12

A

BC

1320

What is the area of triangle ABC?A 48B 59.5C 64D 66E 72.5

Math FieldDay 2011

CSU Fresno

Part II



Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Solutions


If X♦Y means X+Y2 then (5♦7)♦10 is

A 8B 16C 12D 6E 30

Math FieldDay 2011

CSU Fresno

Part II



Solutions

Solutions

The correct answer choices are on the next page.

Math FieldDay 2011

CSU Fresno

Part II



Solutions

Part I1 e 2 b 3 c 4 b 5 c 6 b7 a 8 c 9 b 10 d 11 a 12 b13 a 14 d 15 e 16 d 17 a 18 a19 c 20 a 21 a 22 c 23 a 24 d25 b 26 b 27 c 28 b 29 a 30 cPart II1 c 2 c 3 e 4 d 5 c 6 c7 e 8 a 9 b 10 d 11 b 12 d13 d 14 e 15 d 16 e 17 c 18 a19 d 20 e 21 e 22 e 23 b 24 b25 e 26 c 27 d 28 b 29 d 30 a

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