MATH FCAT PRACTICE (Grade 10, Lesson 6, Part A) 1. Semicircles are constructed on the sides of an equilateral triangle, as shown in the figure above. Of the following, which best approximates the sum of the lengths of the three darkened arcs? A) 4.4258 B) 4.7124 C) 6.0000 D) 6.7124 E) 9.4258 2. A savings account earns 1 percent interest per month on the sum of the initial amount deposited plus any accumulated interest. If a savings account is opened with an initial deposit of $1,000 and no other deposits or withdrawals are made, what will be the amount in this account at the end of 6 months? A) $1,060.00 B) $1,061.52 C) $1,072.14 D) $1,600.00 E) $6,000.00 3. In the figure, points A, E, and H are on a plane that intersects a right prism. What is the intersection of the plane with the right prism? A) line B) triangle C) quadrilateral D) pentagon E) hexagon 4. 6 x 10 3 3 x 10 5 = A) 0.5 10 2 B) 2 10 2 C) 2 10 0.6 D) 0.5 10-2 E) 2 10-2 5. The number of pints in 10 gallons could be determined by performing which of the following operations? A) Multiplying 10 by 2 B) Dividing 10 by 6 C) Multiplying 10 by 6 D) Dividing 40 by 2 E) Multiplying 40 by 2 6. A rectangular pool 24 feet long, 8 feet wide, and 4 feet deep is filled with water. Water is leaking from the pool at the rate of 0.4 cubic foot per minute. At this rate, how many hours will it take for the water level to drop 1 foot? A) 4 B) 8 C) 12 D) 16 E) 32 7. It takes 28 minutes for a certain bacteria population to double. If there are 5,241,763 bacteria in this population at 1:00 p.m., which of the following is closest to the number of bacteria in millions at 2:30 p.m. on the same day? A) 80 B) 40 C) 20 D) 15 E) 10 G:\FL(2003-04)\(FCAT)\Gr10\FCAT_Math_Test_Gr10_Lesson_6_Part_A.doc Page 1
8. What is the slope of the line shown in the graph above? A) 1/3 B) 2/3 C) 1 D) 3/2 E) 3 Student Score A 88 B 65 C 91 D 36 E 72 F 57 G 50 H 85 I 62 J 48 9. The table shows the scores of 10 students on a final examination. What is the range of these scores? A) 33 B) 40 C) 55 D) 88 E) 72 10. From a shipment of 500 batteries, a sample of 25 was selected at random and tested. If 2 batteries in the sample were found to be dead, how many dead batteries would be expected in the entire shipment? A) 10 B) 20 C) 30 D) 40 E) 50 111. If f(x) = 2x + 1 2 and g(x) = 2x + 2, then f(g(2)) = 3 A) 3 B) 5 C) 7 D) 7 5/9 E) 16 2/3 12. The graph best conveys information about which of the following situations over a 40-minute period of time? A) Oven temperature while a cake is being baked B) Body temperature of a person with a cold C) Ocean temperature in February along the coast of Maine D) Temperature on a July day in Chicago E) Temperature of water that is heated on a stove, then removed and allowed to cool G:\FL(2003-04)\(FCAT)\Gr10\FCAT_Math_Test_Gr10_Lesson_6_Part_A.doc Page 2
This question requires you to show your work and explain your reasoning. You may use drawings, words, and numbers in your explanation. Your answer should be clear enough so that another person could read it and understand your thinking. It is important that you show all your work. 13. A. Describe a procedure for locating the point that is the center of the following circle. Use geometric definitions, properties, or principles to explain why your procedure is correct. A. B. One side of an isosceles triangle inscribed in the circle is a diameter of the circle. If the diameter of the circle is 12 inches, find the area of the triangle. Explain how you arrived at your answer. Area of Triangle: Explain your answer. G:\FL(2003-04)\(FCAT)\Gr10\FCAT_Math_Test_Gr10_Lesson_6_Part_A.doc Page 3
MATH FCAT PRACTICE (Grade 10, Lesson 6, Part B) 1. If the median score for 25 students enrolled in a defensive driving course is 85 and the average score is 80. which of the following statements must be true? I. Mode is 90 II. More than half the students scored above 90 III. The median is smaller than the mode A. none B. I only C. III only D. II and III only 2. What is the mean of the number of inches of rainfall for the five cities in 1995? A. 30 B. 25 C. 34 D. 32 3. What is the median of the annual rainfalls over the 5 cities for 1995. A. 20 B. 25 C. 30 D. 35 4. What must the annual rainfall for City F be in 1996 so that the average rainfall for all 6 cities is 36? A. 34 B. 36 C. 40 D. 46 5. What percent decrease in annual rainfall did City A experience between 1995 and 1996. A. 62.5% B. 75% C. 90% D. 83.7% 6. What percent increase in annual rainfall did City C experience between 1995 and 1996. A. 45% B. 50% C. 55% D. 60% 7. In what city was the percentage difference in rainfall from 1995 to 1996 the greatest? A. A B. B C. C D. D 8. A doll's wardrobe consists of 40 possible outfits consisting of a shirt, pants, and a pair of shoes. If there are 5 shirts and 2 pairs of shoes, how many pairs of pants are in the doll's wardrobe? A. 2 B. 4 C. 5 D. 10 G:\FL(2003-04)\(FCAT)\Gr10\FCAT_Math_Test_Gr10_Lesson_6_Part_B.doc Page 1
9. The Venn diagram shows the results of a survey taken in 2001 asking which sport members of the Key Club watch on television. Which of the following are true? 11 I. The most watched sport is tennis Tennis Baseball II. The least watched sport is baseball III. More students watch tennis than football 5 Tennis 2 9 A. I only B. II only C. III only D. I & II only 16 3 10 10. How many watch more than one sport? A. 2 B. 10 C. 19 D. 17 Football 11. How many watch no more than 2 sports? A. 54 B. 56 C. 37 D. 19 12. What percent watch only one sport? A. 33% B. 45% C. 55% D. 66% 13. When the survey of this same group of people was taken again in 2002, it was found that twelve more of the group watched two sports than in 2001. What percent increase was this? A. 52% B. 63% C. 48% D. 71% 14. Of the 12 people described in Problem #13, ten had been one-sport watchers and the remaining were three-sport watchers in 2001. A. What percent change was there in the number of three-sport watchers in 2002? (nearest whole percent) B. What percent change was there in the number of two- and three-sport watchers in 2002? (nearest whole percent) C. What percent decrease was there in the number of one-sport watchers in 2002? (nearest whole percent) G:\FL(2003-04)\(FCAT)\Gr10\FCAT_Math_Test_Gr10_Lesson_6_Part_B.doc Page 2
MATH FCAT PRACTICE (Grade 10, Lesson 6, Part A) ANSWERS 1. B 2. B 3. D 4. E 5. E 6. B 7. B 8. B 9. C 10. D 11. C 12. E 13. A Draw a Chord. Construct the perpendicular bisector of the chord. The perpendicular bisector is a diameter passing through the center of the circle. Bisect the diameter to find the center of the circle. B Area of the triangle = 36 square inches. Since the triangle is isosceles, the altitude is also a radius of the circle. Therefore, using A = 1/2 bh, A = 1/2 (12) (6) = 36 square inches G:\FL(2003-04)\(FCAT)\Gr10\FCAT_Math_Test_Gr10_Lesson_6_Part_A_Ans.doc
MATH FCAT PRACTICE (Grade 10, Lesson 6, Part B) ANSWERS 1. A 2. D 3. C 4. D 5. A 6. B 7. B 8. B 9. C 10. C 11. B 12. D 13. D 14. A 100%, B 63%, C 27% G:\FL(2003-04)\(FCAT)\Gr10\FCAT_Math_Test_Gr10_Lesson_6_Part_B_Ans.doc