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Back to Lesson 3-9 Name Name 3-8B Lesson Master Questions on SPUR Objectives 3-8B page 2 REPRESENTATIONS SKILLS Objective F: Estimate the square root of a Objective O: Apply the geometric definition of square root. number to a stated decimal place. 13. A baseball diamond is a square with sides 90 feet. In 1–4, answer without using a calculator. 9 and 10 6 and 7 6 and 7 8 and 9 1. Between which two consecutive whole numbers is √ 95 ? 2. Between which two consecutive whole numbers is √ 39 ? 3. Between which two consecutive whole numbers is √ 48 ? 4. Between which two consecutive whole numbers is √ 72 ? 5.2 8.7 7. √ 75 8. √ 45 third base first base 90 ft 90 360 ft ft home plate c. Suppose Chris runs directly from home plate to second base. To the nearest hundredth foot, how far does Chris run? 3.5 6.7 6. √ 12 second base b. How far does a batter run if he or she hits a home run? In 5–8, estimate the square root to the tenths place. 5. √ 27 8,100 ft2 a. What is the area of the square? 127.28 ft 14. At the right, the large square has sides of 24 units. The midpoints of its sides are connected to create a smaller square. USES Objective L: Use square roots in real situations. a. What is the area of the larger square? 9. The legs of a right triangle are 2 cm and 3.4 cm. Find the length of the hypotenuse to the nearest tenth of a centimeter. 576 square units 3.9 cm b. What is the area of the smaller square? 10. The legs of a right triangle are 8.4 ft and 11.1 ft Find the length of the hypotenuse to the nearest tenth of a foot. 13.9 ft 11. The sides of a rectangle are 8 in. and 12 in. To the nearest tenth of an inch, what is the length of a segment drawn from one corner to the opposite corner? 14.4 in. 12. A 20-foot flagpole is braced by a cable that meets the ground 5 feet from the base of the flagpole. To the nearest tenth of a foot, how long is the cable? 20.6 ft 24 288 square units c. What is the exact length of the side of the smaller square? d. Approximate the length of the smaller square to the nearest hundredth of a unit. 16.97 units 288 units 15. A rectangle has sides of 8 units and 10 units. To the nearest tenth of a unit, what is the length of a line segment drawn from one corner to the opposite corner? 20 ft 12.8 units 16. A square has an area of 900 square feet. 30 ft a. Give the length of a side of the square. 5 ft b. Give the length of the segment connecting opposite corners to the nearest thousandth of a foot. 42.426 ft 17. Multiple choice. If the lengths of sides of a triangle satisfy a2 + b2 = c2, the triangle is a right triangle. Which set of side lengths forms a right triangle, where the longest side, c, is the hypotenuse? A 1, 2, 3 Transition Mathematics UCSMP_SMP08_NL_TM1_TR1_C03_157-1179 179 179 5/23/07 11:49:01 AM Name B 6, 8, 10 UCSMP_SMP08_NL_TM1_TR1_C03_157-1180 180 5/23/07 11:49:02 AM Questions on SPUR Objectives See pages 199–201 for objectives. USES Objective M 3-9B Lesson Master exclusive events. Letter 3 8. 3. 7 white and 3 black 9. Abel, Mabel, and Gable are playing a game. Abel has won 11 rounds, Mabel has won 8 rounds, and Gable has won 1 round. Write the relative frequency of Abel not winning a round as a percent. In 10–13, a fly lands randomly on one of the squares on the diagram shown at the right. Write the probability, as a percent, that the fly will land on a square containing the given type of number. 14 9 39 105 35 40 245 49 154 50 70 77 6. an odd number 0 __ 7 1 5. 6 black and 10 white 140 9. less than 6 11. equal to 7 133 − 33.3% − 16.6% − 27.7% − 16.6% 10. greater than 12 25% − 13. football or baseball 33.3% FOOTBALL L AL TB KE 5/23/07 11:49:03 AM 182 ING HIK S BA 12. basketball 181 0% L In 12–14, a teacher spins the spinner at the right to determine the intramural sport for the week. Write the probability as a percent of the spinner landing on the following: Transition Mathematics 75% 62.5% 50% 14. any sport except volleyball and hiking A20 51 ___ 100 3. 4 black and 12 white In 9–11, suppose a six-sided die is tossed two times. Write the probability as a percent that the sum of the numbers that “show up” will be the following: 68.75% 50% a multiple of 5 87.5% a multiple of 5 or 7 a multiple of both 5 and 7 31.25% UCSMP_SMP08_NL_TM1_TR1_C03_157-1181 181 9.9% AL EB 13. 18 __ 36 S BA 12. 62% 7. an even number greater than 2 10. a multiple of 7 11. 1 __ 3 In 6–8, suppose a six-sided die is tossed one time. Write the probability as a percent of tossing the following: 8. a number less than 2 5 100% 50% 37.5% 4. 10 black and 6 white 45% 112 3 __ 4 C E AD E B D C B DA E 2. 8 black and 8 white 30% 0% 10 black and 0 white 5. 10 white and 0 black 3 __ 15 black and 5 white 7. 43 white and 3 black 46 or about 6.52% If there is a 60% chance of rain tomorrow, what is the probability 40% that it will not rain? 50% 100% 75% 0% In 2–5, write the probability as a percent of randomly selecting a white marble from a jar containing the following marbles: In 2–7, write the probability as a percent of randomly selecting a black marble from a jar containing the following marbles: 2. 5 black and 5 white 16 __ 16 2 __ 4 Probability _1 2 _3 4 _2 Copyright © Wright Group/McGraw-Hill has 2 chances in 3 of happening N LL will happen about 3 times out of 4 0 __ N __ N YBA has a “50-50” chance As a Fraction 0% 100% 50% 75% 66.6% NIS is certain to happen 0 1 0.5 0.75 0.6 VO LLE As a Decimal As a Percent 1. Write one of these letters below each probability in the table. A “cannot happen” B “has less than an even chance” C “has an even chance” D “has more than an even chance” E “is certain to happen” TEN In Words cannot happen Questions on SPUR Objectives USES Objective M: Calculate probabilities involving mutually 1. Complete the table describing the probability. 6. C 1, 10, 11 Transition Mathematics 180 Name 3-9A Lesson Master 4. B 75% Transition Mathematics UCSMP_SMP08_NL_TM1_TR1_C03_157-1182 182 5/23/07 11:49:04 AM Transition Mathematics SMP08_NL_TM1_TR_C01-06_A1-A42.inA20 A20 5/24/07 12:40:02 PM