Geometry & Measurement Part 2

Transcription

1 The following worksheets should be used to complete this homework set. Instructions for 1. Complete the problems included in this homework set and enter your answers online. 2. Complete the Part 3 problem set. 3. Remember to review the next 25 vocabulary flashcards, complete the practice Essay Prompt (included in Part 1) and complete the next Critical Reading Passage found in the Appendix of your Student Manual. 1. Go to 2. Click the Student Login link. Once you have completed this problem set: 3. Login using your personalized username and password. 4. Select the link to the answer page for this assignment and transfer the answers from your completed worksheet to the online scoring program. 5. Upon entering your scores, you will unlock the next problem set for this chapter. 6. In your next session, your tutor will analyze your homework results with you, as well as review your essay and critical reading passages. If you have any questions, please feel free to contact your local program manager at: 1-7-STUDYPOINT Copyright 2010 StudyPoint, Inc. 1

2 Use this sheet to record your answers to the specified problems. Good Luck! PART 2 1 (see grid-in) 2 (see grid-in) 3 (see grid-in) 4 A B C D E 5 A B C D E 6 A B C D E 7 A B C D E A B C D E 9 A B C D E 10 A B C D E 11 A B C D E 12 A B C D E 13 A B C D E 14 A B C D E 15 A B C D E Please complete your assigned Grid-In Problems in the spaces provided below: Copyright 2010 StudyPoint, Inc.

3 DIRECTIONS FOR MULTIPLE CHOICE QUESTIONS: For this section, you may use the available space for your scratchwork. Solve each problem, and fill in the corresponding oval for your answer on the answer sheet. DIRECTIONS FOR GRID-IN QUESTIONS: These questions require you to solve the problems on your own and enter your answers into the corresponding grids by marking the appropriate ovals. Do not mark more than one oval per column. Columns not needed should be left blank. You will receive credit only if you fill the ovals in correctly. Some questions may have more than one correct answer. Only grid in one of the correct answers. No answer will have a negative value. Mixed numbers, such as 1 1 must be entered as 1.5 or 3/2. 2 Decimal answers with more digits than the grid can accommodate can be either rounded or truncated, but you must fill the entire grid. For example, can be entered as 2/3,.666 or.667. If.66 or.67 is entered instead, it will be scored as incorrect. Notes 1. You are allowed to use a calculator on this section. 2. Only real numbers are used. 3. Figures that accompany problems in this section are provided to help you solve the problem. You can assume that figures are accurately drawn to scale EXCEPT when it is noted otherwise. All figures lie in a plane unless otherwise noted. 4. The domain of any function f is defined as the set of all real number x values for which f(x) is a real number, unless otherwise noted. Reference Information r A = πr 2 C = 2πr l A = lw w b A = 1 2 bh w l V = lwh The number of degrees of arc in a circle is 360. The measure in degrees of a straight angle is 10. The sum of measures in degrees of the angles of a triangle is 10. h h r V = πr 2 h h c b a a 2 + b 2 = c 2 2x 30 x 3 60 x s 45 s 2 s 45 Copyright 2010 StudyPoint, Inc. 3

4 4. On the line m shown above, the distance between points Q and R is 1.5 times the distance from Q to P. If the length of PR is 30, what is the length of QR? (A) 10 (B) 12 (C) 15 (D) 1 (E) A sphere is placed within a cube as shown above. The sphere is tangent to all six faces of the cube. If the radius of the sphere is 3 inches, what is the volume of the cube, in cubic inches? 2. In the figure above, rectangle PQRS is inscribed in the circle. If the sides of the rectangle are 3 and 4, what is the circumference of the circle? (Use = 3.14.) 5. Circle O has a circumference of. A line segment AB is drawn parallel to OD and BD is drawn parallel to OA to form a rectangle OABD. What is the length of the diagonal AD of rectangle OABD? (A) 2 (B) 2 2 (C) 4 (D) 4 2 (E) Note: Figure not drawn to scale 3. In the figure above, if AD = BD = AE = EC, what is the value of α? 4 Copyright 2010 StudyPoint, Inc.

5 6. In the figure above, DE is parallel to BC. What is the area of rectangle DECB? (A) 3 (B) 24 (C) 30 (D) 36 (E) 10. In the figure above, the circle has a center O and two shaded semicircles. If the circle has a circumference of 20, what is the area of the shaded region? (A) 5 (B) 10 (C) 20 (D) 25 (E) A rectangular box has dimensions 2 cm, 4 cm, and 6 cm. How many cubes having 2-centimeter sides can be placed into the box? (A) 6 (B) (C) 10 (D) 12 (E) In the figure above, what is the perimeter of the rectangle in terms of x? (A) 5x 1 (B) 5x + 1 (C) 10x 2 (D) 10x + 1 (E) 10x Which of the following lines is parallel to the line y = 5x + 2? (A) 5x + y = 2 (B) x + 5y = 10 (C) x + 5y = 2 (D) 5x + 2y = 4 (E) 5x y = 2 Copyright 2010 StudyPoint, Inc. 5

6 11. Circle Q is centered at (4, 3) and has a radius of 4 units. Which of the following must be true? I. Circle Q is tangent to the x-axis II. Circle Q is tangent to the y -axis III. The point (0, 0) lies inside the circle (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III 13. In the figure above, sides AC and CE of triangle ABC and triangle CDE lie on line l. What is the measure of CDE? (A) 40 (B) 55 (C) 65 (D) 75 (E) A cube floating in a bucket of water has between 0 and 5 percent of its volume below the surface of water. If between 12 and 16 cubic centimeters of the cube s volume is above the surface of water, what is the approximate length of the side of the cube? 12. In the right triangle above, one leg has a length that is one-third the length of the other leg. If area of the circle is 10, what is the length of the shorter leg of the triangle? (A) 4 (B) 5 (C) 7 (D) (E) 9 (A) 1 (B) 2 (C) 10 (D) 6 (E) In circle O above, what is the measure of PAB? (A) 33 (B) 39 (C) 4 (D) 51 (E) 66 6 Copyright 2010 StudyPoint, Inc.