60 Minutes 60 Questions

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1 MTHEMTI TET 60 Minutes 60 Questions DIRETIN: olve each problem, choose the correct answer, and then fill in the corresponding oval on our answer document. Do not linger over problems that take too much time. olve as man as ou can; then return to the others in the time ou have left for this test. You are permitted to use a calculator on this test. You ma use our calculator for an problems ou choose, but some of the problems ma best be done without using a calculator. Note: Unless otherwise stated, all of the following should be assumed. 1. Illustrative figures are NT necessaril drawn to scale.. Geometric figures lie in a plane.. The word line indicates a straight line.. The word average indicates arithmetic mean. 1. armen is plaing with blocks. he arranges stacks of blocks so that each successive level of blocks has 1 fewer block than the level below it and the top level has 1 block. uch a stack with levels is shown below. armen wants to make such a stack with 1 levels. How man blocks would she use to build this stack? level 1. If 7 + =, then =? F. G. 10 H. 1 J. 1 K. 8 level level To keep up with rising epenses, a motel manager needs to raise the $0.00 room rate b %. What will be the new rate? F. $0. G. $.0 H. $8.00 J. $8.80 K. $6.00. s a salesperson, our commission is directl proportional to the dollar amount of sales ou make. If our sales are $800, our commission is $11. How much commission would ou earn if ou had $1,00 in sales?. $10. $16. $17 $18 $ 6. The total cost of renting a car is $0.00 for each da the car is rented plus 8 1_ for each mile the car is driven. What is the total cost of renting the car for das and driving 0 miles? (Note: No sales ta is involved.). $ $ 1.8. $.7 $ $1, In an parallelogram D, it is alwas true that the measures of and D: F. add up to 180. G. add up to 0. H. are each greater than 0. J. are each 0. K. are each less than 0. 6 G N T THE NEXT PG

2 7. What is the least common denominator for adding the fractions, 1, and _? ,0 1. In the figure below, measures 0, measures 110, and points,, and D are collinear. What is the measure of D? 8. The product ( )( 8 ) is equivalent to: F. G. 6 8 H. 6 J. 0 8 K F. 10 G. 10 H. 10 J. 10 K. 110 D. It costs a dollars for an adult ticket to a reggae concert and s dollars for a student ticket. The difference between the cost of 1 adult tickets and 18 student tickets is $6. Which of the following equations represents this relationship between a and s?. 1a = 6 18s. 16as = 6. 1a 18s = 6 1a + 18s = 6 18a + 1s = If > 1, then which of the following has the LET value? F. G. H. J. K. 1. In the isosceles right triangle below, = 10 feet. What is the length, in feet, of? In a bag of 00 jell beans, % of the jell beans are red in color. If ou randoml pick a jell bean from the bag, what is the probabilit that the jell bean picked is NT one of the red jell beans? 11. harles defined a new operation,, on pairs of ordered pairs of integers as follows: (a,b) (c,d) = ac + bd. ab cd What is the value of (,1) (,)? F. G. H. J. K G N T THE NEXT PG

3 1. What polnomial must be added to + 6 so that the sum is + 7? For all triangles XYZ where side XZ is longer than side YZ, such as the triangle shown below, which of the following statements is true? X Y Z 16. What is the slope of an line parallel to the line 8 + = in the standard (,) coordinate plane? F. 8 G. 8 H. 8 J. K In the standard (,) coordinate plane, a line segment has its endpoints at (,6) and (,). What are the coordinates of the midpoint of the line segment?. (, 1). (, 1). ( 6, ) ( 6, ) (1,10) 18. When =, which of the following epressions is equivalent to? F. ( ) G. H. J. K. 1. For the function h() =, what is the value of h( )? F. The measure of X is alwas less than the measure G. The measure of X is alwas equal to the measure H. The measure of X is alwas greater than the measure J. The measure of X is sometimes less than the measure of Y and sometimes equal to the measure K. The measure of X is sometimes greater than the measure of Y and sometimes equal to the measure 1. 7( ) + () =? If >, which of the following is the solution statement for when =? F. is an real number. G. > H. < J. < < K. > or <. The perimeter of a parallelogram is 7 inches, and 1 side measures 1 inches. What are the lengths, in inches, of the other sides?. 1, 1, 6. 1, 18, 18. 1,, 1, 0, 0 annot be determined from the given information. The lengths of the corresponding sides of similar right triangles are in the ratio of :. If the hpotenuse of the smaller triangle is inches long, how man inches long is the hpotenuse of the larger triangle? F. G.. H. 7 J. 10 K G N T THE NEXT PG

4 . The sides of a square are cm long. ne verte of the square is at (,0) on a square coordinate grid marked in centimeter units. Which of the following points could also be a verte of the square?. ( 6, 0). 1_,1 1_. ( 1, ) ( 0, ) (, 0) 6. In the circle shown below, M is the center and lies on RU _ and T. Which of the following statements is NT true?. s a class eperiment, a cart was rolled at a constant rate along a straight line. hawn recorded in the chart below the cart s distance (), in feet, from a reference point at the start of the eperiment and for each of times (t), in seconds. t Which of the following equations represents this data?. = t = t + 6. = t + 10 = 10t + = 1t R F. TUM measures 6 G. TU is parallel to R H. TXU measures 0 J. RM TM K. R M 0 7. John Jones has decided to go into the business of producing and selling boats. In order to begin this venture, he must invest $10 million in a boat production plant. The cost to produce each boat will be $7,000, and the selling price will be $0,000. ccounting for the cost of the production plant, which of the following epressions represents the profit, in dollars, that John will realize when boats are produced and sold?. 1,000 10,000,000. 7,000 10,000,000.,7,000 0,000 1, If + 6 = 6, what are the possible values of? F. 1 and G. 6 and H. and 6 J. and 1 K. 1 and 1 M T U X 0. To increase the mean of numbers b, b how much would the sum of the numbers have to increase? F. G. H. 6 J. 8 K Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog s collar, the dog could reach feet from the stake in an direction. Using.1 for π, what is the approimate area of the lawn, in square feet, the dog could reach from the stake? Television screen sizes are the diagonal length of the rectangular screen. Hector recentl changed from watching a television with a 1-inch screen to a television with a similar 1- inch screen. If a bocar appeared 8 inches long on the 1-inch screen, how long, to the nearest inch, will it appear on the 1-inch screen? F. 10 G. 1 H. 1 J. 16 K. 18 G N T THE NEXT PG

5 . In the figure below, D is a square. Points are chosen on each pair of adjacent sides of D to form congruent right triangles, as shown below. Each of these has one leg that is twice as long as the other leg. What fraction of the area of square D is shaded?. Which of the following is the graph of the equation + = in the standard (,) coordinate plane? _ D.. surveor took and recorded the measurements shown in the figure below. If the surveor wants to use these measurements to calculate the length of the pond, which of the following would be the most directl applicable? 6. Which of the following figures in a plane separates it into half-planes? F. line G. ra H. n angle J. point K. line segment 1,1 ft 11.8 length of pond 1,0 ft 7. What is the maimum number of distinct diagonals that can be drawn in the heagon shown below? F. The Pthagorean theorem G. formula for the area of a triangle H. The ratios for the side lengths of triangles J. The ratios for the side lengths of - -0 triangles K. The law of cosines: For an, where a is the length of the side opposite, b is the length of the side opposite, and c is the length of the side opposite, a = b + c bc cos( ) G N T THE NEXT PG

6 8. In the standard (,) coordinate plane, the center of the circle shown below lies on the -ais at =. If the circle is tangent to the -ais, which of the following is an equation of the circle? F. ( + ) + = G. ( ) + = 16 H. ( ) = 16 J. ( ) + = K. + ( ) = 16. In what order should _, 7_, 6_, and be listed to be 8 arranged b increasing size?. _ < 6 < _ < 8. _ < 6 < 7 < 8. 7 < _ < < 8 6 < _ < < 8 _ < 6_ < 7_ < 0. Mai is putting gold foil around the outside of an elliptical picture frame. The perimeter of an ellipse is given b the formula p = π_ (h + w ), where h is the height and w is the width, as shown in the diagram below. If an elliptical frame has an outside height equal to inches and an outside width equal to inches, what is its outside perimeter, in inches? F. π w G. 7 π H. π J. π ( + ) K. (π + ) 1. If + = 7 + and,, and are integers 0 10 greater than 1, then what must equal? ,10 7 6_ 7 8 h Use the following information to answer questions. Kalee is planning to purchase a car. he will need to borrow some of the mone and has a chart, shown below, to use to approimate her monthl pament. The chart gives the approimate monthl pament per $1,000 borrowed. Monthl pament per $1,000 borrowed for various annual rates and various numbers of paments Number of monthl paments nnual interest rate % $.7 $.0 $ % $1. $.1 $0.8 10% $.7 $.6 $1. 1% $. $6. $.. Kalee found a used car she is thinking about purchasing. The list price is $8,7. he calculates that she will need to borrow $6,00. pproimatel what would her monthl pament be if she borrowed the mone for 6 months at an annual interest rate of 10%? F. $16.8 G. $171.1 H. $0.76 J. $.7 K. $8.81. local dealership is having an end-of-the-model-ear clearance sale and is offering % annual interest on new-car loans for 6, 8, or 60 months. The maimum amount Kalee can budget for her monthl car pament is $00. f the following loan amounts, which one is the maimum Kalee can borrow at % annual interest and sta within her budget?. $10,000. $1,000. $1,000 $1,000 $0,000. nother dealership is offering -ear loans with a % annual interest rate. Kalee uses her chart to estimate the pament per $1,000 borrowed. f the following, which is most likel the monthl pament per $1,000 borrowed? F. $0. G. $0.76 H. $0.8 J. $1.00 K. $1.7 1 G N T THE NEXT PG

7 . In, shown below, the measure of is 1, the measure of is, and is units long. Which of the following is an epression for the length, in units, of? (Note: The law of sines states that, for an triangle, the ratios of the sines of the interior angles to the lengths of the sides opposite those angles are equal.) For i = 1, ( + i) =? F. 1 G. 17 H. 1 + i J i K i 7. If r and s can be an integers such that s > 10 and r + s = 1, which of the following is the solution set for r?. r. r 0. r r 0 r 8. Which of the following epressions has a positive value for all and such that > 0 and < 0? F. G. + H. J. K. sin 7 sin 1 sin 1 sin 10 sin sin 7 sin 10 sin 1 sin 10 sin? 1 units. What is the value of log 8? In the right triangle below, the measure of is 0, = units, and = units. What is tan? F. G. H. J. K flight instructor charges $0 per lesson, plus an additional fee for the use of his plane. The charge for the use of the plane varies directl with the square root of the time the plane is used. If a lesson plus 16 minutes of plane usage costs $0, what is the total amount charged for a lesson having 6 minutes of plane usage?. $18. $10. $1 $110 $ 60. In D, shown below, is on D, the length of D is 6 inches, and sin d = 0.8. How man inches long is D? F. 1. d G. 1.8? D H..6 J..8 K. annot be determined from the given information. For real numbers a and b, when is the equation a + b = a b true?. lwas. nl when a = b. nl when a = 0 and b = 0 nl when a = 0 or b = 0 Never G N T THE NEXT PG 6

8 . s shown below, rectangle D is divided into large squares (labeled L) each inches on a side, 1 small squares (labeled ) each inches on a side, and 1 rectangles ( labeled R) each inches b inches. What is the total area, in square inches, of D? 7. When graphed in the standard (,) coordinate plane, the lines = and = intersect at what point?. ( 0, 0). ( 0, ). (, 0) (, ) (, 6) F G H. + 1 J K For some real number, the graph of the line = ( + 1) + 8 in the standard (,) coordinate plane passes through (,6). What is the slope of this line? The graph of the equation h = at + bt + c, which describes how the height, h, of a hit baseball changes over time, t, is shown below. h t time If ou alter onl this equation s c term, which gives the height at time t = 0, the alteration has an effect on which of the following? I. The h-intercept II. The maimum value of h III. The t-intercept F. I onl G. II onl H. III onl J. I and III onl K. I, II, and III D height L L R R R R R R R R R R R R R 8. In pentagon DE, shown below, measures 0. What is the total measure of the other interior angles? F. 10 G. 00 H. 10 J. K. 0. For all real numbers b and c such that the product of c and is b, which of the following epressions represents the sum of c and in terms of b?. b +. b +. (b + ) b + b Which of the following epresses the number of meters a contestant must travel in a -lap race where the course is a circle of radius R meters? F. R G. πr H. πr J. 6R K. 6πR E D END F TET TP! D NT TURN THE PGE UNTIL TLD T D. D NT RETURN T THE PREVIU TET.