SECTION 2 Time 25 minutes 18 Questions

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1 SECTION Time 5 minutes 8 Questions Turn to Section (page 4) of our answer sheet to answer the questions in this section. Directions: This section contains two tpes of questions. You have 5 minutes to complete both tpes. For questions -8, solve each problem and decide which is the best of the choices given. Fill in the corresponding circle on the answer sheet. You ma use an available space for scratchwork.. If 4 t + u + = 9, then t + u = 4 5 (D) 6 7. In the figure above, three lines intersect at a point. If f = 85 and c = 5, what is the value of a? (D) Official SAT Practice Test 47

2 . If Marisa drove n miles in t hours, which of the following represents her average speed, in miles per hour? n t t n nt (D) nt n t 4. If a is an odd integer and b is an even integer, which of the following is an odd integer? b a + a + b (D) a + b a + b 6. The graph of f( ) is shown above. If 6, for how man values of does f( )? None One Two (D) Three More than three 7. If the average (arithmetic mean) of t and t + is and if the average of t and t is, what is the average of and? 5. In the coordinate plane, the points F,, G 4,, and H 4, lie on a circle with center P. What are the coordinates of point P? 0, 0,, (D), 5., 5. t t (D) t + t 8. For all numbers and, let be defined as. What is the value of ( )? 5 7 (D) SAT Preparation Booklet

3 9. Morgan s plant grew from 4 centimeters to 57 centimeters in a ear. Linda s plant, which was 59 centimeters at the beginning of the ear, grew twice as man centimeters as Morgan s plant did during the same ear. How tall, in centimeters, was Linda s plant at the end of the ear? 0. Since the beginning of 990, the number of squirrels in a certain wooded area has tripled during ever -ear period of time. If there were 5,400 squirrels in the wooded area at the beginning of 999, how man squirrels were in the wooded area at the beginning of 990? Official SAT Practice Test 49

4 v = = = v 4 t pt. For the sstem of equations above, if 0, what is the value of p?. In the figure above, triangles ABC and CDE are equilateral and line segment AE has length 5. What is the sum of the perimeters of the two triangles? 4. If, what is one possible value of?. Marbles are to be removed from a jar that contains red marbles and black marbles. What is the least number of marbles that could be removed so that the ratio of red marbles to black marbles left in the jar will be 4 to? 50 SAT Preparation Booklet

5 5. For what positive number is the square root of the number the same as the number divided b 40? 7. The graph above shows the amount of water remaining in a tank each time a pail was used to remove gallons of water. If 5 gallons were in the tank originall and gallons remained after the last pail containing gallons was removed, what is the value of? 6. In rectangle ABDF above, C and E are midpoints of sides BD and DF, respectivel. What fraction of the area of the rectangle is shaded? 8. If 0 and + is the least possible value of? 5, what STOP If ou finish before time is called, ou ma check our work on this section onl. Do not turn to an other section in the test. Official SAT Practice Test 5

6 Unauthorized coping or reuse of an part of this page is illegal. SECTION 5 Time 5 minutes 0 Questions Turn to Section 5 (page 5) of our answer sheet to answer the questions in this section. Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding circle on the answer sheet. You ma use an available space for scratchwork.. Each of the following is a factor of 80 EXCEPT 5 8 (D) 6 40 k = w m = ( w ) k. If k and m are defined b the equations above, what is the value of m when w 4 and? 0 (D) 4 6. There are five houses on each side of a street, as shown in the figure above. No two houses net to each other on the same side of the street and no two houses directl across from each other on opposite sides of the street can be painted the same color. If the houses labeled G are painted gra, how man of the seven remaining houses cannot be painted gra? Two Three Four (D) Five Si 64 SAT Preparation Booklet

7 Unauthorized coping or reuse of an part of this page is illegal. n 4. If 7 7 = 7, what is the value of n? 4 9 (D) 5 6 INVENTORY PRICES CAPACITY Table Chair Warehouse 990 $40 $5 X Y Z 995 $65 $0 Tables $80 $6 Chairs A furniture compan makes one stle of tables and chairs. The chart on the left above gives the prices of these tables and chairs in three different ears. The chart on the right gives the maimum number of tables and chairs that can be stocked in each of three warehouses, X, Y, and Z. Based on the prices shown, what was the maimum possible value of the table and chair inventor in warehouse Y in 995? $,950 $6,500 $7,00 (D) $8,400 $9, Which of the following could be the equation of the graph above? (D) ( ) ( ) 8. What is the total number of right angles formed b the edges of a cube? (D) 6 6. In the figure above, which of the following is greatest? a b c (D) d e 9. If p t 0 and p is positive, what is the value of t? 0 (D) Official SAT Practice Test 65

8 Unauthorized coping or reuse of an part of this page is illegal., 0, 00, 99, Which of the following equations describes in terms of for all ordered pairs in the table above? (D) In the figure above, if m and r = 9, then t + u = (D) 8 8. A stamp collecting club calculated that the average (arithmetic mean) number of stamps in its members 0 collections was 88. However, it was discovered that numbers in the calculations were entered incorrectl. The number 55 was entered as 75 and the number 78 as 88. What is the correct average number of stamps in the 0 collections? (D) If is the coordinate of the indicated point on the number line above, which of the lettered points has coordinate? A B C (D) D E. In the figure above, what is the slope of line? r s r s s r (D) s r rs 5. Points X and Y are two different points on a circle. Point M is located so that line segment XM and line segment YM have equal length. Which of the following could be true? I. M is the center of the circle. II. M is on arc XY. III. M is outside of the circle. I onl II onl I and II onl (D) II and III onl I, II, and III 66 SAT Preparation Booklet

9 Unauthorized coping or reuse of an part of this page is illegal. 6. The graphs of the functions f and g are lines, as shown above. What is the value of f g?.5 (D) R is the midpoint of line segment PT, and Q is the midpoint of line segment PR. If S is a point between R and T such that the length of segment QS is 0 and the length of segment PS is 9, what is the length of segment ST? 4 5 (D) If A is the set of prime numbers and B is the set of two-digit positive integers whose units digit is 5, how man numbers are common to both sets? None One Two (D) Five Nine 8. If 75 percent of m is equal to k percent of 5, where k 0, what is the value of m k? 6 4 (D) 6 0. A telephone compan charges cents for the first minute of a call and charges for an additional time at the rate of cents per minute. If a certain call costs $5.55 and lasts more than minute, which of the following epressions represents the length of that call, in minutes? (D) STOP If ou finish before time is called, ou ma check our work on this section onl. Do not turn to an other section in the test. Official SAT Practice Test 67

10 SECTION 8 Time 0 minutes 6 Questions Turn to Section 8 (page 7) of our answer sheet to answer the questions in this section. Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding circle on the answer sheet. You ma use an available space for scratchwork.. Conall had a bo of 6 cand bars to sell for a class fundraiser. He sold 0 of the bars on his own, and his mother sold half of the remaining bars to her coworkers. If no other bars were sold, what fraction of Conall s original 6 bars remained unsold? (D) In PQR above, PR = QR. Which of the following must be true? u = = v = z (D) = = z Official SAT Practice Test 7

11 5. If is directl proportional to, which of the following could be the graph that shows the relationship between and?. The bar graph above shows the number of tons of beans produced on a large farm for the ears 985 through 99. For which of the following two-ear periods was the average (arithmetic mean) bean production closest to the bean production in 985? (D) (D) 4. Marcus can spend no more than $0 on jeans and shirts for school. He bus pairs of jeans at $ each. If represents the dollar amount he can spend on shirts, which of the following inequalities could be used to determine the possible values for? 0 ( ) 0 0 (D) 0 6. What is the perimeter of the trapezoid above? (D) SAT Preparation Booklet

12 7. A store discounts merchandise b 0 percent of the original price at the end of each week and stops when the merchandise is priced at 50 percent of the original price. Which of the following graphs could correctl represent the price of an article of merchandise over an eight-week period? 8. If + a b (D) =, then a 0b = (D) 9. The interior dimensions of a rectangular fish tank are 4 feet long, feet wide, and feet high. The water level in the tank is foot high. All of the water in this tank is poured into an empt second tank. If the interior dimensions of the second tank are feet long, feet wide, and 4 feet high, what is the height of the water in the second tank? 0.5 ft ft.5 ft (D) ft 4 ft,, 0. If m, n, and k are to be assigned different values from the list above, how man different values will be possible for the epression m n k? Three Four Five (D) Eight Nine Official SAT Practice Test 75

NUMBER OF EMPLOYEES AT COMPANY X First Shift Second Shift Salar over $0,000 0 0 Salar $0,000 or less 40 0.

13 NUMBER OF EMPLOYEES AT COMPANY X First Shift Second Shift Salar over $0, Salar $0,000 or less The table above shows the number of emploees at Compan X classified according to work shift and salar. If a second-shift emploee will be picked at random, what is the probabilit that the emploee s salar is over $0,000? (D) If is a positive integer satisfing k and 9 m, which of the following must be equal to? m k 4. In the figure above, the smaller circles each have radius. The are tangent to the larger circle at points A and C, and are tangent to each other at point B, which is the center of the larger circle. What is the perimeter of the shaded region? (D) 5 5. Each of the following inequalities is true for some values of EXCEPT (D) m k 76 m 7 (D) k k 4 m. After the first term in a sequence of positive integers, the ratio of each term to the term immediatel preceding it is to. What is the ratio of the 8th term in this sequence to the 5th term? 6 to 8 to 5 8 to (D) 64 to 56 to SAT Preparation Booklet 6. In the figure above, AC = 6 and BC =. Point P (not shown) lies on AB between A and B such that CP AB. Which of the following could be the length of CP? 4 5 (D) 7 8 STOP If ou finish before time is called, ou ma check our work on this section onl. Do not turn to an other section in the test.

14 Correct Answers and Difficult Levels for the Official SAT Practice Test Section 4 COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV.. E. A. C 4. B. B 5. A 4. E 5 6. B 5. C 5 7. E 6. B 8. A 7. D 9. E 8. B 5 0. C 9. D 5. D 0. B. E. A. C. E Critical Reading Section 6 COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV.. A. E 4. A 4. B. D 4 5. C 4. C 6. E 5. B 4 7. C 6. C 5 8. D 7. B 5 9. A 8. A 5 0. D 5 9. C. B 0. B. B. E. D. A 4 4. A 5. B Section 9 COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV.. E. C. B. C 4. C. A 4. C 4. B 5 5. D 4 5. A 6. A 5 6. D 7. B 7. C 8. D 8. C 9. E 9. E 0. C 4 Number incorrect Number incorrect Number incorrect Section Multiple-Choice Questions Student-Produced Response Questions COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV.. B C A D. 5. B. 6. D < < 7. C E /8 or / or / or.5 5 Mathematics Section 5 COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV.. C. E. E. A. E. A 4. C 4. E 4 5. C 5. E 4 6. D 6. E 7. A 7. A 4 8. B 8. B 4 9. E 9. E 4 0. A 0. C 5 Section 8 COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV.. D 9. D. E 0. A. A. B 4. C. A 4 5. D. C 4 6. D 4. D 4 7. C 5. C 5 8. E 6. A 5 (9-8) Number incorrect Number incorrect Number incorrect Section COR. DIFF. COR. DIFF. COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV. ANS. LEV. ANS. LEV.. D 0. C 5 9. E 8. A. E. C 5 0. A 5 9. E. E. A. E 0. C 4. E. D. D. E 5. B 4. B. D 4. A 6. A 5. B 4. A. E 7. B 6. A 5. B 5 4. A 8. D 7. C 6. C 5 5. C 9. C 8. C 7. D 5 Number incorrect Writing Section 0 COR. DIFF. COR. DIFF. COR. DIFF. ANS. LEV. ANS. LEV. ANS. LEV.. C 6. A. E. D 7. C. B. D 8. B. C 4 4. D 9. A 4. D 5 5. C 0. D Number incorrect Get a score report and answer eplanations! Enter our answers online at collegeboard.com/ satpracticetest. NOTE: Difficult levels are estimates of question difficult for a reference group of college-bound seniors. Difficult levels range from (easiest) to 5 (hardest). 84 SAT Preparation Booklet

15 Scoring the Official SAT Practice Test To have our score calculated automaticall, and to access answer eplanations, go to collegeboard.com/satpracticetest and enter our answers online. To calculate our score on paper, check our responses against the correct answers on page 84 and then fill in the blanks below. Get Your Critical Reading Score How man critical reading questions did ou get right? Section 4: Questions Section 6: Questions 5 + Section 9: Questions 9 + Total = How man critical reading questions did ou get wrong? Section 4: Questions Section 6: Questions 5 + Section 9: Questions 9 + Total = 0.5 = A B = Critical Reading Raw Score Round this raw score to the nearest whole number. Use the table on page 86 to find our critical reading scaled score. Get Your Mathematics Score How man mathematics questions did ou get right? Section : Questions 8 Section 5: Questions 0 + Section 8: Questions 6 + Total = How man multiple-choice math questions did ou get wrong? Section : Questions 8 Section 5: Questions 0 + Section 8: Questions 6 + Total = 0.5 = A B = Mathematics Raw Score Round this raw score to the nearest whole number. Use the table on page 86 to find our mathematics scaled score. Get Your Writing Score How man multiple-choice writing questions did ou get right? Section : Questions 5 Section 0: Questions 4 + Total = How man multiple-choice writing questions did ou get wrong? Section : Questions 5 Section 0: Questions 4 + Total = 0.5 = A B = Writing Multiple-Choice Raw Score Round this raw score to the nearest whole number. Use the table on page 86 to find our writing multiple-choice scaled score. Estimate our essa score using the Scoring Guide on page 6. = (D) Use the table on page 87, our writing multiple-choice raw score, and our essa score (D) to find our writing composite scaled score. Scoring the Official SAT Practice Test 85

16 SAT Score Conversion Table Raw Score Critical Reading Scaled Score Math Scaled Score Writing Multiple-Choice Scaled Score* Raw Score Critical Reading Scaled Score Math Scaled Score Writing Multiple-Choice Scaled Score* and below This table is for use onl with the test in this booklet. * The writing multiple-choice score is reported on a 0-80 scale. Use the table on page 87 for the writing composite scaled score. 86 SAT Preparation Booklet

17 SAT Writing Composite Score Conversion Table Writing MC Essa Raw Score Raw Score and below This table is for use onl with the test in this booklet. Scoring the Official SAT Practice Test 87

Geometry 2001 part 1

Geometry 2001 part 1 1. Point is the center of a circle with a radius of 20 inches. square is drawn with two vertices on the circle and a side containing. What is the area of the square in square inches?