Preparation Problems for the Mathematics S.A.T. Exam ...

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S.A.T.

with a twist!

by Dr. Sheldon Goldberg www.mastermathmentor.com

Preparation Problems for the Mathematics S.A.T.® Exam …


Acknowledgments This workbook was inspired by the Parker Brothers’ game of Clue which first hit the stores in the 50’s and is still being played by kids and adults today. That game (now manufactured by Hasbro, Inc.) was based on the theme that poor Mr. Boddy was murdered in his stately mansion. The players had to determine who committed the murder, in what room the murder was committed, and the weapon that was used. Was it Colonel Mustard in the Conservatory with the Revolver? Or did Miss Scarlet commit the crime in the Library with the Candlestick? With six suspects, six possible murder weapons and nine rooms in the mansion, there were 324 possibilities, and plenty of clues to investigate! In the climate of terrorism and violence in school, using a murder setting did not seem politically correct. So the theme in this mystery has been switched to the mystery of life for students soon graduating high school: determining what college the student will attend, what his/her future occupation will be and where he or she will live. And due to inflation, the 324 possibilities have been increased to 27,000!

Dr. Sheldon Goldberg MasterMathMentor.com Graphics in this manual were produced from:

1. Texas Instruments 84 Graphing Calculator 2. Intaglio ™ software: http://www.purgatorydesign.com/Intaglio/ 3. Equation Editor for the Mac © Design Science Corp. 3. Grapher Software: © Apple Computer Corp. (S.A.T® is a registered trademark of the College Board and does not endorse any material in this publication.)


MasterMathMentor predicts your future! You are studying for the S.A.T. exam. You have been told over and over that getting into college will start you on the road to success. But what will that college be? What will it prepare you to do for the rest of your life? Where will you live when you graduate with that job? There are 29 sets of 3 math problems that are similar to what you will see on the S.A.T. mathematics exam. Solve them all and you will not only be prepared to get into that college, you will remarkably find out what college you will attend, what your occupation will be, and where you will live! There are 27,000 possible combinations from all these listed below. The rest of your life is one of them!

Auburn Univ. Accountant Auckland, New Zealand Carnegie Mellon Univ. Actuary Baghdad, Iraq Clemson Univ. Astronaut Bangkok, Thailand Cornell Univ. Bartender Berlin, Germany Duke Univ. Brain surgeon Biloxi, Mississippi Emory Univ. Chef Boston, Massachusetts Florida State Univ. Chemist Chicago, Illinois Georgetown Univ. Correction officer Death Valley, California Georgia Tech Dentist Denver, Colorado Harvard College Electrician Fargo, North Dakota Harvey Mudd College Engineer Honolulu, Hawaii Johns Hopkins Univ. Financial adviser Los Angeles, California L.S.U. Firefighter Las Vegas, Nevada M.I.T. Golf pro London, England Naval Academy Hairdresser Miami, Florida Northwestern Univ. Hotel manager Moscow, Russia Notre Dame Univ. Janitor Mumbai, India NYU Lawyer New Orleans, Louisiana Ohio State Univ. Mail carrier New York, New York Penn State Univ. Musician Nome, Alaska Stanford Univ. Nurse Norfolk, Virginia Swarthmore Univ. Plumber Paris, France Trump Univ. Podiatrist Philadelphia, Pennsylvania Tufts Univ. Police officer San Francisco, California UCLA Psychiatrist Seoul, South Korea Univ. of Miami Security guard South Pole Univ. of Michigan Senator Tel Aviv, Israel Univ. of Pa. Teacher Tokyo, Japan Univ. of Southern Cal Truck driver Toronto, Canada


How to use this workbook: The problems presented are meant for students who are preparing for the S.A.T. Mathematics exam. There are 30 sets of 3 problems (college, occupation and location). Every problem has an integer answer from 1 to 30 inclusive. Space is provided to solve the problem. In the printed solution version, the solutions to the problems are on the back of the page, which should not be looked at until the entire workbook is complete. Playing the Game:

Very Important: You have been given 30 problem sets. You need to pull one of them out. It does not matter which one you pull out but I recommend that you pull out problem set #30. If you do so, the solution to the mystery will be the grayed boxes on the Clue Solution sheet (at the end of the Clue Solution document). However, you can pull out any of the 30 problem sets. The one you pull out will have its 3 answers (College, Occupation and Location) as the solution to the mystery. When students solve college, occupation and location problems from a set, they do several things: • They write their answer in the space provided. • In their Clue sheet, they cross out the corresponding college, occupation and location for the answers they calculated for those problem. • In the gray space on the Clue sheet, they will write the problem set #. For example, if the college problem set #1 answer was 6, they would cross out Penn State and write #1 in the gray space. If all goes well, the students will eventually cross out every college, occupation and location, and what is remaining is the solution to the mystery. However, if they get the same answer for two different problem sets, they have a conflict that must be resolved. For example, if the suspect problem set # 14 answer is also 6, they should realize that Penn State had already been crossed out. They would have to go back to the college problems for sets #1 and #14 to see if either truly has 6 as its answer. If you are a teacher and are giving S.A.T. Clue to a class, there are several methods to have students solve the mystery of “college, occupation, and location.”

1) Copy an entire mystery – 29 sets of problems plus a clue sheet – and distribute the entire set

to every student. The goal is to have every student solve the mystery. This is probably the best review for the S.A.T. mathematics exam as every student is exposed to every problem. However, it is also time consuming. Even allowing just two minutes for each problem, it would take about three hours to solve the mystery. Some students will be more motivated than other to work on the problems and once a student solves the mystery, you do not want him or her to tell everyone else. If you can spare the time, you may only allow students to


work on the problems during class time. The mystery should easily be solved in 5 class days if the students also do some problems at home as well.

2) Copy one entire mystery and give each student one page of three problems. Give it as a

homework assignment. If you have fewer than 29 students in class, some students will receive more than one page. If you have more than 29 students in class, some students will get duplicate pages. The next day, put the clue sheet on the board or use a transparency for the overhead projector. Have each student call out their three answers and you cross out their conclusions on the clue sheet for all to see. If there are no conflicts, you have solved the mystery. If there are conflicts, have the students who had the duplicate answers put their solutions on the board and determine which one is correct.

3) Copy several mysteries and give a group of three students three pages or a group of four

students four pages. The groups are given time to solve the problems and come up with a consensus for the solutions. Groups then share their answers with the class. Again, if any groups find conflicts, you have your lessons for the next day or so.

Content:

S.A.T. Clue classifies problems based on the four current areas of mathematics that play the biggest role in a wide range of college majors and careers and defined by the College Board. • Heart of Algebra (HA) – focusing on the mastery of linear equations and systems • Passport to Advanced Math (PAM) – requiring the manipulations of complex equations • Problem Solving and Data Analysis (PSD)– being quantitative literate

• Additional Topics in Math (ATM) – including the geometry and trigonometry relevant to college and career readiness The solution version classifies each problem in one of these areas and then further classifies it as to a specific math skill. Problems in this workbook have been selected that approximate the same type and percentage of each of the 4 major areas on the real examination. We have also designated each problem as easy, medium, or difficult. This rating is based on the time and knowledge required to do the problem. At the back of the workbook, there are charts that identify all similar types of problems in case you simply wish to work on a specific area of mathematics. If you solve the mystery using the order of the index rather than in the order that the problems are presented (1, 2, 3, …), you will get a feel for the general area in which you need work. You can also do the problems in terms of difficulty: Easy (E), Medium (M), Difficult (D).


Calculator Use:

Calculators can certainly be used to solve problems. Since all answers are integers, rounding is vitally important and it is suggested you set the calculator accuracy to two decimal places. Calculators are permitted on only one of the two mathematics sections on the real S.A.T. exam. The philosophy of this workbook is that calculators will be permitted to help with arithmetic processes that are time-consuming by hand, but not permitted where necessary skills for the S.A.T. can be bypassed by using the calculator. For instance, finding the roots of a quadratic equation by hand involves factoring. But graphing the equation allows students to quickly find the roots by determining where it crosses the x-axis. While the actual S.A.T. exam might allow calculators for this type of problem, our philosophy will be not to allow them as we want students to focus on necessary S.A.T. skills. However, a problem might ask students to find the number of roots of a cubic equation which is too difficult to factor or might be unfactorable. In that case, a calculator is permitted and also necessary so that the student can graph the equation and determine how many times it crosses the x-axis. There are certain type of problems that the calculator can make life easier for the students if he knows how to use it. For instance, if a student needs to know how many committees of 3 can be chosen from a group of 6 students. This is a combination problem, specifically a combination of

6 things taken 3 at a time: . . Because of the extensive cancellation,

the answer is 20 and no calculator is needed. However if the calculator is permitted and the student knows that there is a key on the calculator that allows them to , the student is encouraged to use it.

Problems that have a calculator icon before it means that a calculator is permitted but not always necessary to solve the problem.

The user of the workbook should realize that the type of problems presented are just a sample of those that may appear on the actual examination. For example, there may be problems with scatterplots, probability, statistics, measuring error, charts and diagrams, and word problems that require reading and interpretation. To obtain a more detailed list and sample of the type of problems that would be on the examination please visit the College Board web site and refer to SAT “Suite of Assessments”. If you have any questions regarding the SAT please contact us at [email protected]. Enjoy finding out the direction of your life while preparing for the SAT’s! January, 2017

6C3 6C3 =6!3! 3!

= 6 ⋅5 ⋅4 ⋅3⋅2 ⋅13⋅2 ⋅1⋅3⋅2 ⋅1

6C3


S.A.T. – Clue Sheet

Directions: As you solve each problem, place the problem set number in the space provided to the right. When you solve all 29 sets of problems, the numbers that are blank represent the direction of your life. If you have duplicate answers, you know which problems to check.

College Set # Occupation Set # Location Set #

1. U. of Michigan 1. Engineer 1. Philadelphia 2. UCLA 2. Hairdresser 2. Toronto 3. Auburn 3. Actuary 3. Tel Aviv 4. Harvard 4. Accountant 4. Nome 5. Florida State 5. Teacher 5. Norfolk 6. Penn State 6. Podiatrist 6. London 7. Northwestern 7. Chef 7. San Francisco 8. Emory 8. Brain surgeon 8. Moscow 9. M.I.T. 9. Chemist 9. Las Vegas 10. Tufts 10. Psychiatrist 10. Boston 11. L.S.U. 11. Nurse 11. Washington 12. Yale 12. Police officer 12. L.A. 13. Clemson 13. Financial adviser 13. Paris 14. Southern Cal 14. Golf pro 14. Death Valley 15. U. of Miami 15. Astronaut 15. Tokyo 16. Cornell 16. Musician 16. Baghdad 17. Naval Academy 17. Hotel manager 17. Honolulu 18. Georgia Tech 18. Lawyer 18. Miami 19. Duke 19. Waiter 19. Auckland 20. Ohio State 20. Janitor 20. New York 21. Notre Dame 21. Truck driver 21. Seoul 22. Johns Hopkins 22. Security guard 22. Biloxi 23. NYU 23. Dentist 23. South Pole 24. Harvey Mudd 24. Electrician 24. Chicago 25. Georgetown 25. Bartender 25. Denver 26. Swarthmore 26. Senator 26. Berlin 27. Trump U. 27. Correction officer 27. Fargo 28. Stanford 28. Plumber 28. Bangkok 29. U. of Pennsylvania 29. Mail carrier 29. New Orleans 30. Carnegie Mellon 30. Firefighter 30. Mumbai


SAT Clue Problem Set # 1 College Problem:

If x > 0 and , what is the value of ?

The answer is: . Cross out that College number on your clue card and write # 1 as your set.

Occupation Problem: The average weight of five books is 18 pounds. The sum of any four of the books is 64 pounds. What is the weight of the 5th book?

The answer is: . Cross out that Occupation number on your clue card and write # 1 as your set.

Location Problem:

How many integers satisfy the following inequality?

The answer is: . Cross out that Location number on your clue card and write # 1 as your set.

x2 − 98 = 2 x + 4

Possible answers: 6, 10, 14, 24


1< x3+ 2 ≤ 4



SAT Clue Problem Set # 2 College Problem: Given the equation where a and p are positive integers, which of the following could be a value for p?


Occupation Problem:

The equation of a circle is . What is the circle’s diameter?

The answer is: . Cross out that Occupation number on your clue card and write # 2 as your set. Location Problem:

In the figure to the right, the circle has a center at O and a radius of 5. In triangle OAB, angle AOB has a radian measure of . To the nearest integer, what would be the length of arc AB?


pa 3 = 81


x2 + y2 −8x +10y + 5 = 0


π 3


A

O B5



A supermarket checker is supposed to check out at least 8 customers in five minutes but not more than 12 customers in that time. Which of the following will be a possible time to check out 50 customers?


Occupation Problem:

If one of the following points satisfies the systems of inequalities: , what is the x-value of

that coordinate?


Location Problem: When leaving a movie, people rated it on a scale of 1 to 5 with 5 strongly liking it and 1 strongly disliking it. The table to the right shows the result of people’s rating with each tally mark representing one person. What is the sum of the median, mode, and range of the data?



y < 2x +1y > −3x − 2

⎧⎨⎩

Possible answers: 1, 4( ), 2, 5( ), 3, 7( ), 7,−1( )


5 IIII IIII IIII III

4 IIII IIII IIII IIII

3 IIII IIII I

2 IIII II1 IIII



In right triangle OAB to the right, point B has coordinates (5, 5). Angle BOA has a radian measure of . What is the value of a?

The answer is: . Cross out that College number on your clue card and write # 4 as your set. Occupation Problem:

A business charges $30 for a toy and makes a profit of 25% on the purchase price. What was the original cost of the toy to the business?


Location Problem: If a parabola has an equation and is graphed on a coordinate system, what would be the positive value of the sum of the x and y-coordinates of the x-intercepts?


π a



f x( ) = x2 −14x − 32




If , what would be the sum of the solutions of the equation? Round answer to the nearest integer.


Occupation Problem:

When the expression is placed in the form , what is the value of c?


Location Problem: The mass of an object equals its density times its volume. A rectangular prism weighs 4,200 lbs. The

dimensions of the prism are 4 cm by 5 cm by 7 cm. What is the density in ?


x = x − 3


328 − 5

a d + c


lbscm3




In a right triangle, . Find the value of and round to the nearest integer.


Occupation Problem:

If is simplified, what is the coefficient of the term?


Location Problem:

If , what is the positive difference between the solutions?


cos x = 45

3.2sin 90 − x( )Possible answers: 2, 3 16, 25

x + 3( )3 x2

Possible answers: 3, 9 12, 27

x − 3( )2 = 25



SAT Clue Problem Set # 7 College Problem: If are defined by the table to the right, what would be the value of if

?


Occupation Problem:

You are given the following system of equations: . If the coordinate is a solution to the

system, what is the value of ?


Location Problem:

If and a > 0, what is the value of ?


f x( ) and g x( ) h 2( )h x( ) = 3 f x( )+ 2g x +1( )− g x −1( )


x = 2y12y − 2x( ) = −3

⎧⎨⎪

⎩⎪x, y( )

x + yPossible answers: 2, 4, 6, 8

a2 +16a = 57 3a + 2


x f x( ) g x( )1 4 62 7 03 10 54 13 15


SAT Clue Problem Set # 8 College Problem: How many liters of alcohol should be added to 60 liters of a 25% solution of alcohol and water to increase it to a 40% solution?


Occupation Problem:

A salesman needs to take a taxi to a business meeting. The cost of the taxi is $1.50 for the first quarter-mile and $0.75 for each additional quarter-mile. If the total trip excluding the tip is $30.75, how many miles was the trip?


Location Problem: The endpoints of a diameter of a circle are . If line l passes through the center of the circle and has a slope of –6, what is the y-intercept of l ?




−2,−4( ) and 10,8( )




Given the system of equations, , what is the value of


Occupation Problem:

If , what is the solution?


Location Problem:

The table to the right shows the result of eleventh grade students who took the SAT’s. Some of these students took an SAT course. If one of these students who took the SAT

course is randomly chosen, what is the probability that the student did not score above 1200? Round your answer to the nearest percent.


x − 2y = 72x + y = 4

⎧⎨⎩

6x − 2y?


x2 + 3x − 28x − 4

= 21, x ≠ 4



Took SATcourse

Did not take SAT course

Scored above 1200 123 155Scored 1200 or below 45 45



A person standing on top of a 40-foot building and looking down at a car below on a line of sight that creates a angle with the building. How far is the car from the base of the building?


Occupation Problem:

Three boys are contributing to a business. Sam gives $400, Max gives $500, and Jim gives $600. What percent of the profit should Sam receive (nearest percent)?


Location Problem:

A bullet travels 2,800 km/hr. What is its speed in miles/min? (1 mile = 1.6 km)


35°





SAT Clue Problem Set # 11 College Problem: A dollhouse is made up 5 single and 3 double rooms. A double room has 5 more square feet than a single room. The dollhouse has a total of 127 ft2 of floor space. How many square feet does a double room have?


Occupation Problem:

If the equation has a y-intercept at 5 and passes through the point (2, –19), what is the y-value of the point on the line when the x-value is –2?


Location Problem:

If is expressed in the form , the fraction in lowest terms, what is the value

of ?



y = ax + b


2x3

− x − 4( )2 − 3 x − 5( ) ax2 + bx + cd

ca+ b




For what value of c will the equation give an integer solution?


Occupation Problem:

Solve for x:


Location Problem: If is the reflection of first across the y-axis, and then across the x-axis, what is the value of

?


2x2 − x = c


2x3

− 4 = x +12

−1


g x( ) f x( ) = −4x − 3g 3( )



SAT Clue Problem Set # 13 College Problem: If and , what is the value of ?


Occupation Problem:

Given , what is the y-intercept of the graph of this curve?


Location Problem:

The equation could have at most 3 real solutions. Adding all the solutions together for this equation gives what value?


f x( ) = 4x − 2 p x( ) = f x + 2( ) p 6( )


3x + 2

= 6y, x ≠ −2, y ≠ 0


x3 − 7x2 + 4x − 28 = 0




If is calculated, what is the remainder?


Occupation Problem:

Given , find the constant in .


Location Problem:

If , what is the value of


2x3 + 5x2 − 7x + 5x + 2


f x( ) = 2x −1, g x( ) = x2 +1, h x( ) = g f x( )( ) h x( )


32 x+1 = 27y and y = 53

9y + 4x?



SAT Clue Problem Set # 15 College Problem: If is graphed on the figure to the right, what is the smallest value of c such that the graph has exactly two real roots?


Occupation Problem:

If , find the value of x, rounded to the nearest integer.


Location Problem:

The expression factors into . What is the average of a, b, c, and d , rounded to the nearest integer?


f x( )f x( )+ c


c = 3 6 and 3c5= x


2x2 −13x + 20 ax − b( )(cx − d)



SAT Clue Problem Set # 16 College Problem: If the operation is performed where i is the imaginary unit, what is the value of the coefficient of the real part of the resulting complex number?


Occupation Problem:

In a restaurant, there are 6 vegetables on the menu and a customer can order two of them with an entrée. How many ways can the vegetables be chosen if they must be different?


Location Problem:

A linear function with a slope of –3 passes through the point . What is ?


2 − i( ) 1+ 4i( )



y = f x( ) 5,0( ) f −2( )




If the solution to the equation are a and b, what is the value of ?


Occupation Problem:

What is the y-coordinate of the vertex of the parabola ?


Location Problem: In the figure to the right, EC and AB are parallel. Angle ECD = and AB = AC. What is the measurement of angle BAC?


2x2 −10x = 9 2 a + b( )


y = x2 − 4x +12


100°

Possible answers: 15, 20, 25, 30AB

C

DE

F



If , find the value of .


Occupation Problem:

Big Jean works out in the gym and has a workout routine that consists 3 minutes with 30 seconds of rest and then 6 minutes with 1.5 minutes of rest. Realizing that he might not complete the last routine, how many workout routines can he undertake if he is in the gym from 6 AM until 9 AM?


Location Problem:

Suppose and c is a constant. If find .


f x( ) = 2x −1 and g x( ) = 3x2 +1 g 2( )+ f 2( )+ g f 1( )( )



p x( ) = cx2 + 9 p 3( ) = 27, p −2( )




The vertex of a parabola is the point . If , what is the y-coordinate of the vertex of ?


Occupation Problem: A farmer wants to build a pen with four straight sides. One side is against a river and needs no fencing. He has exactly 95 yards of fencing and all sides must be a multiple of 5. Possible shapes of the pen are shown in the figure. Vertical posts are spaced 5 yards apart. How many vertical posts are needed to enclose the pen?


Location Problem: In the Venn diagram to the right, the circles represent students in a school who are taking French, Spanish, and German. How many students are taking both French and German?


y = f x( ) −5,−9( ) g x( ) = f x − 7( )+ 20g x( )




235 10

8

French

3

Spanish

German

River

River


SAT Clue Problem Set # 20 College Problem: In a grocery store, Joan bought 3 pounds of apples and 6 oranges for 96¢. If a dozen oranges cost the same as 2 pounds of apples, what is the cost of a pound of apples?


Occupation Problem:

If , what is the value of C when and ?


Location Problem:

Solve for x:



F = C + DD

D = 125

F = 383


2 x + 12

⎛⎝⎜

⎞⎠⎟ +

12x − 2( ) = 55




If is simplified and placed in the form , what is the value of c?


Occupation Problem:

The distribution of a group of students is shown in the table to the right. Of the three probabilities, which represents the lowest percent probability?

• Choosing a boy from the seniors • Choosing a senior boy • Choose a junior from the boys


Location Problem:

A toy store has a jar that contains 3 red, 4 green, 7 yellow, and 5 blue marbles. If a customer reaches in and chooses two marbles, what is the percent probability that two blue marbles are chosen?


6x + 82x +1( )2

− 32x +1

c2x +1( )2




Seniors JuniorsBoy 11 4Girl 28 7



If the solutions to are a and b, what is the value of ?


Occupation Problem: If , what would be the maximum value of the function on the interval if the function is reflected across the x-axis?


Location Problem:

How many integers satisfy the inequality ?


4x − 6 = 34 a − b


f x( ) = x + 3( ) x − 5( ) −4 ≤ x ≤ 6


x + 3 < 7



SAT Clue Problem Set # 23 College Problem: A small rectangular picture is 7 inches longer than its width. The area of the picture is 8 inches2. What is the perimeter of the picture?


Occupation Problem:

The following data is recorded by a biology student when counting cells in a petri desk: 16, 6, 19, 5, 6, 21, 19, 10, 6. When trying to find the best one-number representative of the data, the student is unsure which to use so he takes the average of the mean, median, mode, and range. What is the result of his calculations, rounded to the nearest integer?


Location Problem:

If the value of the fraction is given in lowest terms, what is the denominator when x = 5?




3x14 − 4x12

2x14 − 5x13




If x is a whole number, the inequality: has how many solutions?


Occupation Problem:

What is the y-intercept of the line perpendicular to , passing through the point (–8, 9)?


Location Problem:

A store sells a pair of sneakers. The store offers two consecutive discounts of 10% and 20%. What is the total percent savings by using these discounts?


2 x − 3( )+ 4 < 40


23x − 1

2y = 2




SAT Clue Problem Set # 25 College Problem: Given the polynomial where a is a constant. If is divisible by all values of , what is the value of a?


Occupation Problem:

Find the intersection of . If the intersection of the two

functions in the first quadrant is the point , what is the value of ab?


Location Problem: The value of is a complex number in the form of . Find the sum a + b.


p x( ) = 3 x2 + 6x +13( )− 3 x + a( ) p x( )x, x ≠ 0


f x( ) = −x2 + 3x + 7 and g x( ) = 4x +193

a,b( )


i14 + 3 −4 + 2 − 3 −9 + 3i a + bi



SAT Clue Problem Set # 26 College Problem: Stu biked to the post office against the wind, a distance of 2.5 miles, in 22 minutes and back home on the same route in 14 minutes. Find his average speed in miles per hour for the entire trip. Round to a whole number.


Occupation Problem:

The pie chart to the right shows the percentage of money spent in each area by a teenager with a $150 monthly income. He decides to decrease his spending on food by 30%, on clothing by 20%, and the other categories by 10% each. How much will he save with his plan?


Location Problem: The graphs of intersect at two locations as shown in the figure to the right. What is the y-coordinate of the indicated point?




f x( ) = 2x and g x( ) = x2 + x − 2




If , find the value of .


Occupation Problem: If the expression is placed in the form , find the value of

.


Location Problem:

A car travels of a mile in minutes. How far in miles will the car travel in one hour?


x + 2x + 3

= 4x + 2

2x2


3x 3x2 − 2x − 3( )− x2 − x − 7( ) ax3 + bx2 + cx + da − b + c − d


35

1 12



SAT Clue Problem Set # 28 College Problem: The graph of is the figure to the right. Find the area of the shaded region.


Occupation Problem:

Given that , find ab.


Location Problem:

In the figure to the right, a cylinder is inscribed perfectly inside a cube with an edge of 4. What is the volume between the cube and cylinder? Use π = 3.14 and round answer to the nearest integer.


y = 2 x − 4 − 2


a + b =12.5 and 4 a2 + b2( ) = 425



4

4



Solve for m:


Occupation Problem:

The relationship between degrees Fahrenheit (F) and degrees Centigrade (C) is given by the formula

. If the temperature rose from to , what is the approximate percent increase in terms

of degrees Fahrenheit?


Location Problem: In the figure to the right, are parallel, and

. Find the length of to the nearest integer.


12

m = 6.5


C = 59F − 32( ) 20°C 25°C


BE and CD AB = 5, BC = 3,CD =13 BE


A

B

E

C

D


SAT Clue Problem Set # 30 College Problem: The incomplete table to the right shows the number of turkey and roast beef sandwiches in a cooler. There are twice as many turkey sandwiches on rye than on white and 4 times as many roast beef sandwiches on rye than on white. How many turkey sandwiches on rye are there?


Occupation Problem:

If Rachel paid $19.50 for a gift after receiving a 20% discount and paying 6% tax on the discounted price, what was the original cost of the gift?


Location Problem: Student’s heights are measured and a scatterplot of their age vs. height is shown on the figure to the right with a few selected points. If m represents the maximum difference between the line of best fit and a point and n represents the minimum distance between the line of best fit and a point, what is m– n?



Possible answers:17, 21, 22, 23

Possible answers:1, 2, 3, 4

White RyeTurkey

Roast BeefTotal 8 20


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