In Questions 1 through 5, match each term with the part that describes it on the diagram.
|
|
- Oliver Reed
- 6 years ago
- Views:
Transcription
1 Pre-Test Name Date In Questions 1 through 5, match each term with the part that describes it on the diagram. 1. center a. circle C 2. radius b. segment AB 3. diameter c. segment AC A D C 4. great circle d. points D and E 5. antipodes e. point C E B. A sphere has a circumference of 42.5 centimeters. What is the surface area of the sphere? 7. A sphere has a surface area of 300 square feet. What is the volume of the sphere? 8. A basketball with a diameter of 9.5 inches is packaged in a cubic box that measures 9.5 inches on each edge. Find the volume of the empty space in the box. Chapter Assessments 127
2 128 Chapter Assessments
3 Post-Test Name Date In Questions 1 through 5, match the part of the diagram with the term that describes it. 1. segment AB a. center 2. circle A b. radius 3. points B and C c. diameter B A 4. segment BC d. antipodes C 5. point A e. great circle. A sphere has a circumference of inches. What is the volume of the sphere? 7. A sphere has a volume of 12 square meters. What is the surface area of the sphere? 8. A bowling ball with a diameter of 8.5 inches is to be packaged and shipped in a cubic box that measures 8.5 inches on each edge. The empty space around the ball must be filled with a foam packing material so that the ball is not damaged during shipping. Find the amount of foam material that is needed in cubic inches. Chapter Assessments 129
4 130 Chapter Assessments
5 End of Chapter Test Name Date 1. The radius of a sphere is 3 times longer than the radius of a smaller sphere. How many times larger is the volume of the larger sphere than the volume of the smaller sphere? Use complete sentences to justify your conclusion. 2. After looking at the spheres shown below, Lily states that the second sphere is twice as big as the first sphere. Emma states that the second sphere is four times as big as the first sphere. Molly states that the second sphere is eight times as big as the first sphere. Explain why each person could be correct. Second Sphere First Sphere 2 in. 1 in. 3. The diameter of the planet Uranus is about four times the diameter of the planet Earth. The surface area of Earth is approximately 510 million square kilometers. What is the approximate surface area of Uranus? Chapter Assessments 131
6 End of Chapter Test PAGE 2 4. The pot in a plant stand is shaped like a hemisphere, as shown in the diagram at the right. The diameter of the pot is 15 inches. You have a bag of potting soil that contains 1 cubic foot of soil. You want to completely fill the pot with potting soil. Do you have enough potting soil? If so, how much will be left over? If not, how much more will you need? 15 inches 5. You have purchased gifts for your nephews and are wrapping them with wrapping paper. You bought your nephew Drew a soccer ball and your nephew Sam a beach ball. You wrap the soccer ball first and use just enough wrapping paper to cover the ball. The diameter of the beach ball is twice the diameter of the soccer ball, so you determine that you will need twice as much wrapping paper for the beach ball. What is wrong with this conclusion? Justify your reasoning. 132 Chapter Assessments
7 End of Chapter Test PAGE 3 Name Date. Four tennis balls are stacked vertically to the top of a cylindrical container. The radius of each ball and the container is 4 centimeters. a. Sketch a front view of the container. Label the radius of a tennis ball and the height of the container. b. Find the volume of each tennis ball. c. Find the volume of the cylindrical container. d. Is the volume of one tennis ball less than, greater than, or equal to the amount of empty space in the container? Justify your reasoning. Chapter Assessments 133
8 134 Chapter Assessments
9 Standardized Test Practice Name Date 1. What is the volume of the sphere shown? a. 52p cubic inches Radius = 13 in. b. 732p cubic inches c. 2929p cubic inches d. 2197p cubic inches 2. A sphere has a volume of 322 cubic centimeters. What is the approximate diameter of the sphere? a. 5.1 centimeters b. 4.3 centimeters c centimeters d. 8.5 centimeters 3. If the radius of a sphere increases by a factor of 2, by what factor does the surface area of the sphere increase? a. 2 b. 4 c. 8 d A sphere-shaped ornament is kept inside a cube-shaped box. The diameter of the ornament and an edge of the box are both 2.75 inches. What is the amount of empty space inside the box? a cubic inches b. 1.2 cubic inches c. 9.9 cubic inches d..3 cubic inches 5. The circumference of a sphere is 3.4 feet. What is the approximate surface area of the sphere? a. 3.7 square feet b. 13. square feet c square feet d. 0.9 square feet Chapter Assessments 135
10 Standardized Test Practice PAGE 2. If the diameter of a sphere increases by a factor of 2, by what factor does the volume of the sphere increase? a. 2 b. 4 c. 8 d What is the surface area of the sphere shown? a. 23,434.7p square yards b. 2704p square yards 52 yards c. 7p square yards d. 10,81p square yards 8. A store sells yogurt-covered cherries. Each cherry is wrapped in foil. The shape of each cherry can be approximated by a sphere. What is the minimum amount of foil needed to wrap a cherry whose radius is 1.3 centimeters? a square centimeters b. 9.2 square centimeters c. 27. square centimeters d. 7.1 square centimeters 9. If the radius of a sphere increases by a factor of 2, by what factor does the diameter of the sphere increase? a. 2 b. 4 c. 8 d A sphere has a surface area of square meters. What is the approximate radius of the sphere? a. 2.4 meters b. 1. meters c. 2.1 meters d. 1.2 meters 13 Chapter Assessments
11 Standardized Test Practice PAGE 3 Name Date 11. Which formula can be used to determine the amount of material that you would need to cover a spherical object with radius a? a. 4pa 3 4 b. 3 a3 c. pa 2 d. 4pa 2 a 12. The volume of a sphere is 322 cubic centimeters. What is the approximate circumference of a great circle on the sphere? a centimeters b. 2.7 centimeters c centimeters d centimeters 13. A globe has a surface area of 804 square inches. What is the approximate volume of the globe? a cubic inches b. 28 cubic inches c. 108 cubic inches d cubic inches 14. Which formula can be used to determine the amount of space inside a ball with radius r? a. pr 2 b. 4pr 2 4 c. 3 r 3 d. 4pr A gumball machine contains 20 gumballs. Each gumball has a diameter of 2 centimeters. About how much space inside the machine is taken up by gumballs? a. 40 cubic centimeters b cubic centimeters c cubic centimeters d cubic centimeters r Chapter Assessments 137
12 138 Chapter Assessments
AP Calculus BC Chapter 4 AP Exam Problems A) 4 B) 2 C) 1 D) 0 E) 2 A) 9 B) 12 C) 14 D) 21 E) 40
Extreme Values in an Interval AP Calculus BC 1. The absolute maximum value of x = f ( x) x x 1 on the closed interval, 4 occurs at A) 4 B) C) 1 D) 0 E). The maximum acceleration attained on the interval
More informationThe radius of a circle is increasing at a constant rate of the rate of increase in the area of the circle at the instant when the circumference is?
Unit #11: Related Rates Topic: More Related Rates Problems Objective: SWBAT apply derivatives to real life applications. Warm Up #5: The radius of a circle is increasing at a constant rate of. What is
More informationLesson 14.1 Skills Practice
Lesson 14.1 Skills Practice Name Date Drum Roll, Please! Volume of a Cylinder Vocabulary Explain why the term describes each given figure. 1. cylinder 2. right circular cylinder Chapter 14 Skills Practice
More informationSurface Areas of Prisms and Cylinders. Find the lateral area and surface area of each prism. Round to the nearest tenth if necessary.
12-2 Skills Practice Surface Areas of Prisms and Cylinders Find the lateral area and surface area of each prism. Round to the nearest tenth if necessary. 12 yd 6 m 12 yd 10 yd 8 m 12 m 3. 4. 6 in. 8 in.
More information( ) ) in 2 ( ) ) in 3
Chapter 1 Test Review Question Answers 1. Find the total surface area and volume of a cube in which the diagonal measures yards. x + x ) = ) x = x x A T.S. = bh) = ) ) = 1 yd V = BH = bh)h = ) ) ) = yd.
More informationMILLIONS AND BILLIONS STUDENT WORKSHEET
MILLIONS AND BILLIONS STUDENT WORKSHEET Name: Date: Problem 1: A) How tall is a stack of a million sheets of paper? B) How tall is a stack of a billion sheets of paper? 1. I would estimate that the height
More information4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3
SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I WEEK 1 1. Write the slope-intercept form of an equation of a. Write a definition of slope. 7 line with a slope of, and a y-intercept of 3. 11 3. You want
More informationMt. Douglas Secondary
Foundations of Math Section.5 Volume of Similar Figures 47.5 Volume of Similar Figures The cubes shown below are similar. The corresponding sides are in a ratio of :. What is the ratio of the volumes?
More informationLESSON 2: TRIANGULAR PRISMS, CYLINDERS, AND SPHERES. Unit 9: Figures and Solids
LESSON 2: TRIANGULAR PRISMS, CYLINDERS, AND SPHERES Unit 9: Figures and Solids base parallel two The sum of the area of the lateral faces (al sides except for the bases) The sum of all the area (lateral
More informationSection Volume, Mass, and Temperature
Section 11.5 - Volume, Mass, and Temperature Surface Area is the number of square units covering a three dimensional figure; Volume describes how much space a three-dimensional figure contains. The unit
More informationSection 5.3: Solving Problems with Circles
Section 5.3: Solving Problems with Circles Section Overview: In this section circumference and area of a circle will be explored from the perspective of scaling. Students will start by measuring the diameter
More information#2212 Geometry S2 #7772 Foundations in Geometry S2
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: High School #2212 Geometry
More informationEssentials. Week by. Week. Fraction Action. Probability Pizzazz
Week by Week MATHEMATICS Essentials 6 The Titanic is miles below the surface of the Atlantic Ocean. If you dive at the rate of miles per hour, how long would it take you to get to the ship? Put six different
More information7 ft. , sketch a right triangle and label the two given sides.
Math 421A Review for Final Exam *This is NOT enough for you to prepare for the exam. Re-do your assignments and tests, and do the textbook end of chapter reviews!! CHAPTER #1: Measurement 1. Which referent
More informationSection 2.1 Intercepts and symmetry. #1 4: Find the x and y-intercepts
Section 2.1 Intercepts and symmetry #1 4: Find the x and y-intercepts 1) 2) 3) Section 2.1 Intercepts and symmetry 4) #5-18: Find the x and y-intercepts. 5) 3x - 6y = 24 6) 2x + 4y = 12 7) y 2 = x + 9
More informationFinal Exam 2016 Practice Exam
Final Exam 2016 Practice Exam Short Answer 1. Multiply. 2. Multiply. 3. Find the product.. 4. Use the Quadratic Formula to solve. 5. Faye is 20 feet horizontally from the center of a basketball hoop that
More informationApplied Mathematics 10 Extra Practice Exercises Chapter 1
TUTO R IAL 1.3 Measurement Conversions For all of the following exercises, use technology or a conversion table. 1. Convert the following measurements using the indicated units. a) 5 feet 6 inches; inches
More informationMay 05, surface area and volume of spheres ink.notebook. Page 171. Page Surface Area and Volume of Spheres.
12.6 surface area and volume of spheres ink.notebook Page 171 Page 172 12.6 Surface Area and Volume of Spheres Page 173 Page 174 Page 175 1 Lesson Objectives Standards Lesson Notes Lesson Objectives Standards
More informationIntermediate Mathematics League of Eastern Massachusetts
IMLEM Meet #5 April, 2017 Intermediate Mathematics League of Eastern Massachusetts This is a calculator meet! Category 1 Mystery Calculator Meet 1) What is the average of the four different prime factors
More informationAlgebra 1 Final Review 2014 ** You will be able to have ONE 4x6 note card (Front and Back) on your final!**
Algebra 1 Final Review 2014 ** You will be able to have ONE 4x6 note card (Front and Back) on your final!** Prioritize your studies by focusing on targets you scored low on 1st note your scores next to
More informationFinal Exam - Math 201
Name: Final Exam - Math 201 Instructions: There are 14 problems on this exam, all with an equal weight of 20 points. Work any of the problems you like in any order you prefer. Indicate the 10 you wish
More informationFebruary 29 th March 4 th
February 29 th March 4 th Unit 7: Introduction to Functions Jump Start Table A: Bags of candy ( ) Cost ( ) 1 2 3 4 5 6 7 8 $1.25 $2.50 $3.75 $5.00 $6.25 $7.50 $8.75 $10.00 Table B: Number of seconds (
More informationGrade 7/8 Math Circles November 14/15/16, Estimation
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Introduction Grade 7/8 Math Circles November 14/15/16, 2017 Estimation Centre for Education in Mathematics and Computing Reminder: Estimations do not have
More information1.) The number of points a basketball player scored each game for one week is recorded. Which is a not a statistical question for the situation?
6 th Grade Math Common Assessment: Chapter 6 Name: Date 6.SP.1 1.) The number of points a basketball player scored each game for one week is recorded. Which is a not a statistical question for the situation?
More informationGrade 11 Mathematics Practice Test
Grade Mathematics Practice Test Nebraska Department of Education 204 Directions: On the following pages are multiple-choice questions for the Grade Practice Test, a practice opportunity for the Nebraska
More informationMATHEMATICS TEST 60 Minutes 60 Questions
MATHEMATICS TEST 60 Minutes 60 Questions DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document. Do not linger over problems that take
More informationPolynomials 370 UNIT 10 WORKING WITH POLYNOMIALS. The railcars are linked together.
UNIT 10 Working with Polynomials The railcars are linked together. 370 UNIT 10 WORKING WITH POLYNOMIALS Just as a train is built from linking railcars together, a polynomial is built by bringing terms
More informationChapter 8 Solids. Pyramids. This is a square pyramid. Draw this figure and write names of edges. Height and Slant Height.
Chapter 8 Solids Pyramids This is a square pyramid. Draw this figure and write names of edges. Height and Slant Height Right angles of Square Pyramid. Write 1 problem of page 193 Answer: Area of square
More informationMathematics Conversions/Formula. S.A. 2 r. cylinder. V cone S.A. 4. sphere
Mathematics 1201 Midterm Review 2015 Unit I: Measurement Conversions/Formula 1 ft. = 12 in. 1 in. = 2.5 cm 2 S.A. 2r 2rh cylinder V pyramid 1 (area of base)(height) 1 yd. = ft. 1 mi. = 1.6 km 2 S.A. cone
More informationUse a calculator to compute the two quantities above. Use the caret button ^ or the y x
Section.1A What is an Exponent? Squares and Cubes A square is... A cube is... Find the area of the square model shown in class. Find the volume of the cube model shown in class To find areas and volumes,
More informationMCAS Review - Measurement Session 4A
lass: ate: I: MS Review - Measurement Session 4 Multiple hoice Identify the choice that best completes the statement or answers the question. 1 circle has an area of 16π square centimeters. What is the
More information8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers
Pellissippi State Middle School Mathematics Competition 8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Directions: For each multiple-choice problem
More informationDay 151 Bellringer. 2. Find the volume of a cone whose diameter is equal to its height which measures 16 in. (Write answer to 4 significant figures)
Day 151 Bellringer 1. Find the volume of a cylinder, whose radius and height are 8 in and 11 in respectively. (Write answer to 4 significant figures) 2. Find the volume of a cone whose diameter is equal
More informationHow are the parts of a circle related?
Student Handout 1 How are the parts of a circle related? A circle has many specific parts including the Label the parts of the circle below. circumference radius, diameter, and circumference. d r Determine
More information5th Math Geometry (5thmath_geometry)
Name: Date: 1. Use the picture below to answer this question. How many squares can you find in this figure? A. 6 squares B. 7 squares C. 8 squares D. 9 squares 2. Use the figure below to answer this question.
More informationMore Differentiation Page 1
More Differentiation Page 1 Directions: Solve the following problems using the available space for scratchwork. Indicate your answers on the front page. Do not spend too much time on any one problem. Note:
More informationGrade 7/8 Math Circles November 14/15/16, Estimation
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Introduction Grade 7/8 Math Circles November 14/15/16, 2017 Estimation Centre for Education in Mathematics and Computing If you ever find yourself without
More informationGEMS Student Activity
Girls in Engineering, Mathematics, and Science GEMS Student Activity HONEY, I SHRUNK THE SOLAR SYSTEM Solar System Predictions How big each of the planets would be if the sun was the size of the fitness
More informationCONNECTED RATE OF CHANGE PACK
C4 CONNECTED RATE OF CHANGE PACK 1. A vase with a circular cross-section is shown in. Water is flowing into the vase. When the depth of the water is h cm, the volume of water V cm 3 is given by V = 4 πh(h
More information1. Dana used a rule to make a number pattern. Her rule is to multiply by 2. Which number pattern follows Dana s rule?
4 th Grade Sample test Objective 1.1 1. ana used a rule to make a number pattern. Her rule is to multiply by 2. Which number pattern follows ana s rule? 4, 6, 9, 10, 12 2, 4, 8, 16, 32 5, 7, 9, 11, 13
More informationDirections for teachers: Do 1 or 2 of these problems per week. Grade them and go over them in class.
Grade 5 Problem Solving Process Standards 1. Aligns to 5.C.9 (* +) 6. Aligns to 5.AT.5 (* +) 2. Aligns to 5.AT.1 (* +) 7. Aligns to 5.AT.8 (* ) 3. Aligns to 5.AT.2 (two-pages) (* ) 8. Aligns to 5.G.2 (*
More informationSession # 1 SOLUTIONS
09/23/2017 Session # 1 SOLUTIONS Problems marked with a star ( ) are from Lectures and Problems, A Gift to Young Mathematicians, by V.I. Arnold, c 2015 Mathematical Sciences Research Institute. 1. Mary
More informationAppendix D: Variation
A96 Appendi D Variation Appendi D: Variation Direct Variation There are two basic types of linear models. The more general model has a y-intercept that is nonzero. y m b, b 0 The simpler model y k has
More informationDate: Pd: Unit 4. GSE H Analytic Geometry EOC Review Name: Units Rewrite ( 12 3) 2 in simplest form. 2. Simplify
GSE H Analytic Geometry EOC Review Name: Units 4 7 Date: Pd: Unit 4 1. Rewrite ( 12 3) 2 in simplest form. 2. Simplify 18 25 3. Which expression is equivalent to 32 8? a) 2 2 27 4. Which expression is
More informationPrecision and Accuracy. Learning Targets: Unit 2.1 To determine the degree of precision of a measurement.
Precision and Accuracy Learning Targets: Unit.1 To determine the degree of precision of a measurement. We often use numbers that are not exact. Measurements are approximate there is no such thing as a
More informationTest Booklet. Subject: MA, Grade: 08 TAKS Grade 8 Math Student name:
Test Booklet Subject: MA, Grade: 08 TAKS Grade 8 Math 2009 Student name: Author: Texas District: Texas Released Tests Printed: Friday July 20, 2012 1 The graph below shows the results of a survey about
More informationMath 3 Variable Manipulation Part 7 Absolute Value & Inequalities
Math 3 Variable Manipulation Part 7 Absolute Value & Inequalities 1 MATH 1 REVIEW SOLVING AN ABSOLUTE VALUE EQUATION Absolute value is a measure of distance; how far a number is from zero. In practice,
More informationArchdiocese of Washington Catholic Schools Academic Standards Mathematics
6 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compare and order positive and negative integers*, decimals, fractions, and mixed numbers. They find multiples*
More information4. Smaller cylinder: r = 3 in., h = 5 in. 6. Let 3x the measure of the first angle. Let x the measure of the second angle.
Chapter : Linear Equations and Inequalities in One Variable.6 Check Points. A, b A bh h h h The height of the sail is ft.. Use the formulas for the area and circumference of a circle. The radius is 0 ft.
More informationMATH MATH.
A = πr 2 A = πr 2 www.bloggymomma.com www.bloggymomma.com Liquid Equivalents 8 fluid ounces (fl.oz.) = 1 cup (c.) 2 cups (c.) = 1 pint (pt.) 2 pints (pt.) = 1 quart (qt.) 4 quarts (qt.) = 1 gallon (gal.)
More informationMath 0200 Final Exam Review Questions
Math 000 Final Eam Review Questions 1. Simplif: 4 8i + 8 ( 7). Simplif: 11 ( 9) + 6(10 4) + 4. Simplif ( 5 + 7) ( ) 8 6 4. Simplif: (4 ) 9 i 5. Simplif: 4 7 6. Evaluate 4 + 5 when = and = Write each of
More informationTALLER DE HIDROSTÁTICA
TALLER DE HIDROSTÁTICA 1) Substance A has a density of 3 g/cm 3 and substance B has a density of 4 g/cm 3. In order to obtain equal masses of these two substances, what must be the ratio of the volume
More information8 Mathematics STAAR. Test Practice. Texas. e S
Texas 8 Mathematics STAAR TM Test Practice ple Page m s Sa STAAR Ready will prepare students for the new, more rigorous STAAR test with STAAR Ready Test Practice, STAAR Ready Instruction, and STAAR i-ready.
More information1-1 Practice. Patterns and Expressions. Describe each pattern using words. Draw the next figure in each pattern.
1-1 Practice Patterns and Expressions Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output Input
More informationGRADE ONE EARTH SCIENCE: EXPLORING THE SUN AND MOON
GRADE ONE EARTH SCIENCE: EXPLORING THE SUN AND MOON Standard 1.E.3: The student will demonstrate an understanding of the patterns of the Sun and the Moon and the Sun s effect on Earth. 1.E.3A. Conceptual
More informationUnit 1: Number System Fluency
Unit 1: Number System Fluency Choose the best answer. 1. Represent the greatest common factor of 36 and 8 using the distributive property. 36 + 8 = A 4 x (9 + 2) C 8 x (5+2) B 2 x (18+4) D 11 x (3+1) 2.
More informationIntroduction to Mechanics Unit Conversions Order of Magnitude
Introduction to Mechanics Unit Conversions Order of Magnitude Lana Sheridan De Anza College Sept 28, 2017 Last time symbols for scaling units scientific notation precision and accuracy dimensional analysis
More informationAREA. The Square Inch The Square Foot The Square Yard. 1 foot. 1 foot. The Square Mile The Square Meter The Square Centimeter. 1 meter.
Tallahassee Community College 48 AREA The area of a figure measures the surface of the figure. The unit of measure for area cannot be a linear unit. To measure area we use square units such as: The Square
More informationReal-World Problems: Circles
11.3 Real-World Problems: Circles Lesson Objectives Solve real-world problems involving area and circumference of circles. Solve real-world problems involving semicircles, quadrants, and composite figures.
More information8 th grade practice test. Objective 1.1a
8 th grade practice test Objective 1.1a 1. Stacey earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x the number
More informationGrade 6 FSA Mathematics Practice Test Questions
Grade 6 FSA Mathematics Practice Test Questions The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials,
More informationName. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D.
Name 1. Given the solution (, y), what is the value of y if x + y = 6? 7. The graph of y = x is shown below. 5 D. 6. What are the solutions to the equation x - x = 0? x = - or x = - x = - or x = 1 x =
More informationMath 8 Notes Unit 8: Area and Perimeter
Math 8 Notes Unit 8: Area and Perimeter Syllabus Objective: (6.) The student will compute the perimeter and area of rectangles and parallelograms. Perimeter is defined as the distance around the outside
More informationChapter 8 Standardized Test A
Chapter 8 Standardized Test A Test-Taking Strategy As you take a test, avoid spending too much time on any one question. Go on to another question and come back later if time permits. 1. Which ratio is
More informationMath 5: Precalculus. Homework Problems
Math 5: Precalculus Homework Problems Note: Short answer questions are labeled by SQ and long answer questions are labeled by LQ. You will be graded on the clarity of your written work only with the long
More information2. Place the following numbers in order from smallest to largest:
MAT08 Final Exam Review Note to students: The final exam for this course will consist of 0 multiple-choice questions and a few open-ended questions. You may use a calculator on the exam, but no notes of
More informationRelated Rates. 2. List the relevant quantities in the problem and assign them appropriate variables. Then write down all the information given.
Calculus 1 Lia Vas Related Rates The most important reason for a non-mathematics major to learn mathematics is to be able to apply it to problems from other disciplines or real life. In this section, we
More informationGeometry Honors Final Exam Review June 2018
Geometry Honors Final Exam Review June 2018 1. Determine whether 128 feet, 136 feet, and 245 feet can be the lengths of the sides of a triangle. 2. Casey has a 13-inch television and a 52-inch television
More informationTurn Up the Volume and Let s Bend Light Beams Volume and Surface Area of a Prism
CH 12 Test Review Turn Up the Volume and Let s Bend Light Beams Volume and Surface Area of a Prism Vocabulary Write the term from the box that best completes each statement bases of a prism lateral faces
More informationWrite an equation and solve for x, then find the missing angle measures. Pictures are not drawn to scale. 1. Equation: Solution: Equation: Solution:
6.1d Class Activity: Triangles and Circles In chapter 5, you worked with angle measures in triangles. Now, you are going to practice writing equations to solve for a missing angle measure. Recall from
More informationLarge & Small Numbers
Large & Small Numbers Scientists frequently work with very large or small numbers. Astronomers work with galaxies that contain billions of stars at great distances from us. On the other hand, biologists
More information3 x 2 x 2. Algebraic Equation
33337_020.qxp 2/27/06 :0 AM Page 66 66 Chapter 2 Solving Equations and Inequalities 2. Linear Equations and Problem Solving Equations and s of Equations An equation in x is a statement that two algebraic
More informationModeling Eclipses with Size and Distance Scales
GRADE LEVEL 3 rd -8 th ; NGSS standards for Middle School SUBJECTS Earth & Space Science; Using Models; Scale, Proportion and Quantity; Using Mathematics and Computational Thinking DURATION Preparation:
More informationKansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8
Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators.
More informationAnswer Explanations SAT Practice Test #1
Answer Explanations SAT Practice Test #1 2015 The College Board. College Board, SAT, and the acorn logo are registered trademarks of the College Board. 5KSA09 Section 4: Math Test Calculator QUESTION 1.
More informationAnswers. Investigation 2. ACE Assignment Choices. Applications. c. P = 350n (125n + 30n + 700) or P = 350n 125n 30n 700 or P = 195n 700. Problem 2.
Answers Investigation ACE Assignment Choices Problem.1 Core, 5, 1 15 Other Applications 1, Connections 1 18, Extensions 8 Problem. Core 8, 19 0 Other Applications 9, Connections 1 ; and unassigned choices
More informationACT. CERT - Grade 12 - MATHEMATICS TEST 1 60 Minutes 60 Questions DO FIGURING HERE GO ON TO NEXT PAGE
DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer sheet. Do not linger over problems that take too much time. Solve as many as you can; then
More informationPractice Problems Set II
P1. For the HCP crystal structure, (a) show that the ideal c/a ratio is 1.633; (b) show that the atomic packing factor for HCP is 0.74. (a) A sketch of one-third of an HCP unit cell is shown below. Consider
More informationGRADE 6 MATHEMATICS. Form M0110, CORE 1 VIRGINIA STANDARDS OF LEARNING. Spring 2010 Released Test. Property of the Virginia Department of Education
VIRGINIA STANDARDS OF LEARNING Spring 200 Released Test GRADE 6 MATHEMATICS Form M00, CORE Property of the Virginia Department of Education Copyright 200 by the Commonwealth of Virginia, Department of
More informationFair Game Review. Chapter 10
Name Date Chapter 0 Evaluate the expression. Fair Game Review. 9 +. + 6. 8 +. 9 00. ( 9 ) 6. 6 ( + ) 7. 6 6 8. 9 6 x 9. The number of visits to a website can be modeled b = +, where is hundreds of visits
More informationMATHCOUNTS State Competition Countdown Round Problems This section contains problems to be used in the Countdown Round.
MATHCOUNTS 2007 State Competition Countdown Round Problems 1 80 This section contains problems to be used in the Countdown Round. National Sponsors Lockheed Martin * Raytheon Company Texas Instruments
More informationWednesday, January 23, :15 to 4:15 p.m., only
ALGEBRA I The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION Algebra I Wednesday, January 23, 2019 1:15 to 4:15 p.m., only Student Name School Name The possession or use of any communications
More informationPi: The Ultimate Ratio
Pi: The Ultimate Ratio Exploring the Ratio of Circle Circumference to Diameter 1 WARM UP Scale up or down to determine an equivalent ratio. 1. 18 miles 3 hours 5? 1 hour 2. $750 4 days 3. 4. 12 in. 1 ft
More informationMath 6, Unit 9 Notes: Measurement and Geometry
Math 6, Unit 9 Notes: Measurement and Geometry Customary and Metric Units of Measure Objective: (6.3)The student will estimate corresponding units of measure between customary and metric systems for temperature,
More information1. Consider the following graphs and choose the correct name of each function.
Name Date Summary of Functions Comparing Linear, Quadratic, and Exponential Functions - Part 1 Independent Practice 1. Consider the following graphs and choose the correct name of each function. Part A:
More informationCircle Notes. Circumference and Area of Circles
Love of Learning Educational Services Bringing Curiosity, Relevance, and Enjoyment to the Math Classroom Circle Notes Circumference and Area of Circles Guided note taking pages for calculating circumference
More informationLearning Plan 4 Chapter 9
Learning Plan 4 Chapter 9 Question The population of a country reached 309.5 million people. The total area is 3.25 million square miles. What is the population density for the country? Round to the nearest
More informationA. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior
More informationHS Mathematics Item Specification C1 TL Task Model 1
Task Model 1 Matching Table DOK Level 1 F-IF.B.4 models a relationship quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a
More informationSystems of Equations and Inequalities
1 Systems of Equations and Inequalities 2015 03 24 2 Table of Contents Solving Systems by Graphing Solving Systems by Substitution Solve Systems by Elimination Choosing your Strategy Solving Systems of
More informationGeometry Honors Homework
Geometry Honors Homework pg. 1 12-1 Practice Form G Tangent Lines Algebra Assume that lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x? 1. 2. 3. The circle
More informationLesson 6 Plane Geometry Practice Test Answer Explanations
Lesson 6 Plane Geometry Practice Test Answer Explanations Question 1 One revolution is equal to one circumference: C = r = 6 = 1, which is approximately 37.68 inches. Multiply that by 100 to get 3,768
More informationAnswer Keys for Calvert Math
Answer Keys for Calvert Math Lessons CMAKF- Contents Math Textbook... Math Workbook... Math Manual... Answer Keys Math Textbook Lessons Math Textbook Answer Key Lessons. Area and Circumference of Circles
More informationm2413c2 the limiting process. 4. Use the alternative form of the derivative to find the derivative of the function at. a. b. c. d. e.
m2413c2 Multiple Choice Identify the choice that best completes the statement or answers the question 1 Find the derivative of the following function using the limiting process 2 Find the derivative of
More informationSkills Practice Skills Practice for Lesson 12.1
Skills Practice Skills Practice for Lesson.1 Name Date Try to Stay Focused Ellipses Centered at the Origin Vocabulary Match each definition to its corresponding term. 1. an equation of the form a. ellipse
More information1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =
Extra Practice for Lesson Add or subtract. ) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = Multiply. 7) (5)(-4) = 8) (-3)(-6) = 9) (-)(2) = Division is
More informationDays 3 & 4 Notes: Related Rates
AP Calculus Unit 4 Applications of the Derivative Part 1 Days 3 & 4 Notes: Related Rates Implicitly differentiate the following formulas with respect to time. State what each rate in the differential equation
More information11.2 Start Thinking Warm Up Cumulative Review Warm Up
11.2 Start Thinking The circle in the diagram has a diameter of 14 inches. What is the area of the circle? Use the area of the circle to calculate the area of the sector created b the given measure of
More informationName Class Date. Identify the vertex of each graph. Tell whether it is a minimum or a maximum.
Practice Quadratic Graphs and Their Properties Identify the verte of each graph. Tell whether it is a minimum or a maimum. 1. y 2. y 3. 2 4 2 4 2 2 y 4 2 2 2 4 Graph each function. 4. f () = 3 2 5. f ()
More informationRight Circular Cylinders A right circular cylinder is like a right prism except that its bases are congruent circles instead of congruent polygons.
Volume-Lateral Area-Total Area page #10 Right Circular Cylinders A right circular cylinder is like a right prism except that its bases are congruent circles instead of congruent polygons. base height base
More information