Mt. Douglas Secondary
|
|
- Jasmine Henderson
- 5 years ago
- Views:
Transcription
1 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? The volume is 8 times larger by doubling the sides. Thus, we can state the following: Volume of large cube Volume of small cube = = 8 If the scale factor of two similar solids is a : b, then the ratio of the volumes is a : b. Example The ratio of similarity of two figures is 5. Find the ratio of their a) perimeters b) areas c) volumes a) perimeter of a : b is a : b, thus 5: b) area of a : b is a : b thus 5 : = 5: 4 c) volumes of a : b is a : b thus 5 : = 5:8
2 48 Chapter Rates and Scale Factor Foundations of Math Example The volume of a cone is V = r h. What happens to the volume of the cone if a) the height is doubled? b) the radius is doubled? c) both the height and radius are doubled? a) scale factor = ( ) r h r h = h h =, thus the volume is doubled. b) scale factor = c) scale factor = larger. r ( )h r h ( ) ( h) r r h ( = r ) = 4r = 4, thus the volume is quadrupled. r r ( = r ) h = 8r h r h r h = 8, thus the volume is 8 times Example Two similar brass statues are made of Carl Gauss, considered by many the world s greatest mathematician. The shoe on one statue is 9 cm long, and the other 5 cm long. If the volume of the smaller statue is 6 cm, what is the volume of the larger statue? 9 5 reduces to 5, thus V = l V l 6 = V 5 6 = 7 V 5 7V = V = 7 V = 000 The larger statue would have a volume of000 cm.
3 Foundations of Math Section.5 Volume of Similar Figures 49 Example 4 The surface areas of two spheres are 6 cm and44 cm. What is the ratio of their volumes? Surface area has ratio S = l S l, volume has ratio V = l V l 6 44 = l l 4 = l l = l l V V = V V = 8 The ratio of their volumes is :8. Example 5 A can of tennis balls usually holds balls. What is the ratio of air in the can to volume of the can? 6r h Volume formula for cylinder is V = r h Volume formula for a sphere is V = 4 r balls would have a height of 6 radiis h = 6r Thus, volume of can is V = r ( 6r)= 6 r Volume of can minus volume of tennis balls = volume of air 6 r 4 r = r Scale factor = Volume of air Volume of can = r 6 r = 6 = The can is air.
4 50 Chapter Rates and Scale Factor Foundations of Math.5 Exercise Set. Complete the table for spheres: S = 4 r, V = 4 r Radius Area 6 64 Volume Complete the table for two similar cones: V = r h Ratio of Height : Ratio of Base Area 4:9 Ratio of Volume 64:5. Complete the table for two similar pyramids: V = area of base height = ( A b )( h) (Plane DEF to base of pyramid ABCD) Scale Factor : Ratio of Area of Base 4:5 A Ratio of Volume of Smaller Pyramid to Volume of Larger Pyramid 7:64 B D F E C Ratio of Volume of Small Pyramid to Volume of Frustum (bottom part of pyramid) 8:9 D
5 Foundations of Math Section.5 Volume of Similar Figures 5 4. Two spheres of the same density have a surface area of 6 cm and 6 cm. If the small ball weighs 6 kg, what does the larger sphere weigh? 5. If a ball of yarn with a 6-in diameter cost $4 and an 8-inch diameter ball costs $8, which is the better buy? 6. A toy dump truck is a scale of :50 of an actual dump truck. If the toy dump truck will hold 5 cm of material, how many cubic metres will the actual dump truck hold? 7. The area of the base of two prisms is in a ratio of 4:9. If the heights are the same, what is the ratio of the volume?
6 5 Chapter Rates and Scale Factor Foundations of Math 8. Three tennis balls are packed tightly in a rectangular box. 9. If a sphere and a cone have the same radius and volume, what must be the height of the cone in terms of the radius? What is the ratio of the volume of the tennis balls to the volume of the box? 0. Two similar cones have lateral areas of 7 and 48. What is the ratio of their volumes?. A cylinder has its radius doubled and its height halved. What is the ratio of the volume of the original cylinder to the changed cylinder?
7 Foundations of Math Section.5 Volume of Similar Figures 5. The base area of two similar pyramids is 64 to 400. Find the ratio of their volumes.. A sphere of radius r is inscribed in a cone with diameter AC = AB = BC. B Find the ratio of the volume of the sphere to the volume of the cone. A C 4. Two identical cylinders are tightly packed side by side in a box cm by 6 cm and 4 cm height. Find the ratio of the volume of the box to the volume of the cylinders. 5. A solid ball of string has a diameter of yard. If one cubic inch of string weighs 0.05 pounds, how much does the ball of string weigh? ( yard = feet; foot = inches)
Section 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 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 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 informationMENSURATION. Mensuration is the measurement of lines, areas, and volumes. Before, you start this pack, you need to know the following facts.
MENSURATION Mensuration is the measurement of lines, areas, and volumes. Before, you start this pack, you need to know the following facts. When you see kilo, it indicates 000 in length, mass and capacity.
More informationMCA/GRAD Formula Review Packet
MCA/GRAD Formula Review Packet 1 2 3 4 5 6 The MCA-II / BHS 2 Math Plan GRAD Page 1 of 16 Portions Copyright 2005 by Claude Paradis 8 9 10 12 11 13 14 15 16 1 18 19 20 21 The MCA-II / BHS 2 Math Plan GRAD
More informationUnit 5 Test Review: Modeling with Geometry Honors
Name: ate: 1. What is the volume, in cubic centimeters, of a cube whose edge measures 2 centimeters? 5. A right circular cylinder has a base whose area is 12π. If the height of the cylinder is 6, the volume
More informationSAT Subject Test Practice Test II: Math Level I Time 60 minutes, 50 Questions
SAT Subject Test Practice Test II: Math Level I Time 60 minutes, 50 Questions All questions in the Math Level 1 and Math Level Tests are multiple-choice questions in which you are asked to choose the BEST
More informationTopic 17 Changing The Subject of a Formula
Topic 17 Changing The Subject of a Formula Definition: When you write a formula like: 1. = Lb is called the subject of the formula.. = r h is called the subject of the formula.. E = mc E is called the
More informationCircle Theorems. Angles at the circumference are equal. The angle in a semi-circle is x The angle at the centre. Cyclic Quadrilateral
The angle in a semi-circle is 90 0 Angles at the circumference are equal. A B They must come from the same arc. Look out for a diameter. 2x Cyclic Quadrilateral Opposite angles add up to 180 0 A They must
More informationGeorgia High School Graduation Test
Strand: Measurements & Geometry Georgia High School Graduation Test 1. Measurements & Geometry Definitions. inches A. Describe something that has a length of about 1 inch. B. Describe something that has
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 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 information0615geo. Geometry CCSS Regents Exam In the diagram below, congruent figures 1, 2, and 3 are drawn.
0615geo 1 Which object is formed when right triangle RST shown below is rotated around leg RS? 4 In the diagram below, congruent figures 1, 2, and 3 are drawn. 1) a pyramid with a square base 2) an isosceles
More informationMEP Practice Book ES Discrete and Continuous Measures
7 Mensuration MEP Practice Book ES7 7.11 Discrete and Continuous Measures 1. State whether each of the following is discrete or continuous: number of goals scored in a football match, the length of a human
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 informationChapter 8 Exercise 8.1
Chapter 8 Exercise 8.1 Q. 1. (i) 9 cm (vi) 4(7) + (8)(7) = 56 cm (ii) 45.5 cm (vii) 7.(8.7) = 6.64 cm (iii) 90 cm (viii) (11 + 40)(4) = 3,19 cm (iv) 100 cm (ix) (4)(6) = 1 cm (v) 1 ( ) (5 + 40) = 390 cm
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 information1201 Common Mathematics Assessment - June 2013 Answer Sheet. Name
1201 Common Mathematics Assessment - June 2013 Answer Sheet Name Mathematics Teacher: 1. A B C D 2. A B C D 3. A B C D 4. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D 9. A B C D 10. A B C D 11.
More informationMath Round. Any figure shown may not be drawn to scale.
Indiana Academic Super Bowl Math Round 2019 Coaches Practice A Program of the Indiana Association of School Principals Students: Throughout this round we will be pronouncing mathematic symbols and concepts
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 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 informationFind the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides.
Mth101 Chapter 8 HW Name Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 1) 1) Rectangle 6 in. 12 in. 12 in.
More information( afa, ( )) [ 12, ]. Math 226 Notes Section 7.4 ARC LENGTH AND SURFACES OF REVOLUTION
Math 6 Notes Section 7.4 ARC LENGTH AND SURFACES OF REVOLUTION A curve is rectifiable if it has a finite arc length. It is sufficient that f be continuous on [ab, ] in order for f to be rectifiable between
More information1. The imperial unit that has approximately the same length as a metre is the a. foot c. mile b. inch d. yard
Final Exam Review Questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The imperial unit that has approximately the same length as a metre is the
More informationModeling with Volume
1.2 Modeling with Essential Question How can you use the mass and volume of an object to describe the density of the object? Finding Densities Work with a partner. Approximate the volume of each object
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 informationMA 40S APPLIED UNIT F: DESIGN AND MEASUREMENT CLASS NOTES
1 MA 40S APPLIED UNIT F: DESIGN AND MEASUREMENT CLASS NOTES 1. Introduction. In Grade 1 Applied you learn some powerful mathematics. But it remains necessary to re-enforce the most basic practical type
More informationDividing in Scientific Notation Name (page 778)
LESSON 111 Dividing in Scientific Notation Name (page 778) To divide powers of 10, subtract the exponents. 10 7 10 4 = 10 7 4 = 10 3 To divide numbers in scientific notation: 1. Divide the decimal or whole
More informationThe GED math test gives you a page of math formulas that
Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding
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 informationI.G.C.S.E. Volume & Surface Area. You can access the solutions from the end of each question
I.G.C.S.E. Volume & Surface Area Index: Please click on the question number you want Question 1 Question Question Question 4 Question 5 Question 6 Question 7 Question 8 You can access the solutions from
More informationMath Final Examination Fall 2013
Department of Mathematics The City College of New York Math 18000 Final Examination Fall 2013 Instructions: Please Read Carefully. You must show all your work to receive credit, and explain clearly and
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 informationFinal Exam Review Packet
Final Exam Review Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to scale. 6 8 a.
More informationTEAM MATH QUEST SCORE SHEET 2013 Junior MESA Day TEAM INFORMATION School: Center: Student Names: Grade: Current Math Class:
TEAM MATH QUEST SCORE SHEET 2013 Junior MESA Day TEAM INFORMATION School: Center: Student Names: Grade: Current Math Class: 1 2 3 4 Note: All answers must be in reduced form and include appropriate units
More information11.1 Absolute Maximum/Minimum: Definition:
Module 4 : Local / Global Maximum / Minimum and Curve Sketching Lecture 11 : Absolute Maximum / Minimum [Section 111] Objectives In this section you will learn the following : How to find points of absolute
More informationSection 0 5: Evaluating Algebraic Expressions
Section 0 5: Evaluating Algebraic Expressions Algebraic Expressions An algebraic expression is any expression that combines numbers and letters with a set of operations on those numbers and letters. An
More informationIn Questions 1 through 5, match each term with the part that describes it on the diagram.
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
More informationWITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 5
May 06 VIRGINIA MATHEMATICS STANDARDS OF LEARNING CORRELATED TO MOVING WITH MATH INTERMEDIATE/MIDDLE (IM) GRADE 5 NUMBER AND NUMBER SENSE 5.1 The student will a. read, write, and identify the place values
More informationLesson 9: Examples of Functions from Geometry
Lesson 9: Examples of Functions from Geometry Classwork Exercises As you complete Exercises 1 4, record the information in the table below. Side length (s) Area (A) Expression that describes area of border
More information4.! ABC ~ DEF,! AC = 6 ft, CB = 3 ft, AB = 7 ft, DF = 9 ft.! What is the measure of EF?
Name:!!!!!!!!!!!!! Geo(2) GEOMETRY (2) REVIEW FOR FINAL EXAM #2 1. If ABC is similar to ADE, then AB AD =? AE. Which replaces the? to make the statement true? A. AC!! B. AE!! C. DE!! D. BC 2. In ABC,
More informationGEOMETRY (Common Core)
GEOMETRY (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Tuesday, June 2, 2015 1:15 to 4:15 p.m., only Student Name: School Name: The possession
More informationlim x c) lim 7. Using the guidelines discussed in class (domain, intercepts, symmetry, asymptotes, and sign analysis to
Math 7 REVIEW Part I: Problems Using the precise definition of the it, show that [Find the that works for any arbitrarily chosen positive and show that it works] Determine the that will most likely work
More informationGeometry Final Exam Review
1. In the figures find the missing parts. Geometry Final Eam Review 2. In the figures find the missing parts. 3. Tom is trying to put a divider diagonally to separate his animals and his play area. If
More information2 Standards of Measurement
What You ll Learn the SI units and symbols for length, volume, mass, density, time, and temperature how to convert related SI units 2 Standards of Measurement (A), 2(D), 2(C), 2(E) Before You Read If someone
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 informationDefinitions Term Description Examples Mixed radical the product of a monomial and a radical
Chapter 5 Radical Expressions and Equations 5.1 Working With Radicals KEY IDEAS Definitions Term Description Examples Mixed radical the product of a monomial and a radical index radical sign -8 45 coefficient
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 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 informationACT Test Prep. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: ID: A ACT Test Prep Multiple Choice Identify the choice that best completes the statement or answers the question.. 80 is % of what number? 8 d. 00 0 0. Solve ( 8 x) = 6x +. d.. The
More informationSTRAND C: Measurement. UNIT C1 Units of Measurement: Text. Contents. Section. C1.1 Units and Measuring. C1.2 Upper and Lower Bounds
STRAND C: Measurement C1 Units of Measurement Text Contents Section C1.1 Units and Measuring * C1.2 Upper and Lower Bounds C1.3 Estimating Areas C1.4 Conversion of Units C1 Units of Measurement C1.1 Units
More informationPractice Test Student Answer Document
Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
More informationPretest. Explain and use formulas for lateral area, surface area, and volume of solids.
Pretest Please complete the pretest for this standard on your own. Try to remember all you can from our first discussion of this topic. Explain and use formulas for lateral area, surface area, and volume
More informationh h h b b Where B is the area of the base and h is the height. . Multiply this by the height to get 20(81 ) 1620 The base is a circle of area (9)
Area and Volume Area Formulas: A bh 1 A bh A r C r h b b b h h h b b b r Volume: Prisms and Cylinders. V Bh Where B is the area of the base and h is the height. 10ft 9in 4ft 5ft 0in The base can be any
More informationKg hg dag g dg cg mg. Km hm dam m dm cm mm
Metric System Conversions Mass (g = gram) 0 0 0 0 0 0 Kg hg dag g dg cg mg 0 0 0 0 0 0 Distance or Length ( m = metre) 0 0 0 0 0 0 Km hm dam m dm cm mm 0 0 0 0 0 0 Area (m = square metre) 00 00 00 00 00
More information1201 Common Mathematics Assessment Answer Sheet Name: Mathematics Teacher:
1201 Answer Sheet Name: Mathematics Teacher: 1. A B C D 2. A B C D 3. A B C D 4. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D 9. A B C D 10. A B C D 11. A B C D 12. A B C D 13. A B C D 14. A B C
More informationQUEEN S COLLEGE Yearly Examination,
Yearly 10-11 MATH PAPER 1 QUEEN S COLLEGE Yearly Examination, 2010 2011 MATHEMATICS PAPER 1 Question-Answer Book Secondary 5 Date : 16/6/2011 Time: 10:45 am 12:45 am This paper must be answered in English
More information1. 8 x 10-9, 14.7 x 10-7, 0.22 x 10
Black - Divide by Whole Numbers and Powers of 10 Scientific Notation (continued from last lesson) Order from least to greatest. 1. 8 x 10-9, 14.7 x 10-7, 0.22 x 10-10 You can multiply numbers in scientific
More informationIn problems #2 through #6, round your answers to the nearest tenth if necessary.
Math 254CM Name Essential Mathematics Date Study Guide #5 Exam #5 is closed book. You will be given the Geometry handout and the Measurements handout. You may use a calculator on this exam. You must show
More information17. The length of a diagonal of a square is 16 inches. What is its perimeter? a. 8 2 in. b in. c in. d in. e in.
Geometry 2 nd Semester Final Review Name: 1. Pentagon FGHIJ pentagon. 2. Find the scale factor of FGHIJ to KLMNO. 3. Find x. 4. Find y. 5. Find z. 6. Find the scale factor of ABCD to EFGD. 7. Find the
More informationUnderstanding today s lesson comes down again to using the correct formula and finding the correct values to plug into it.
Lesson 25 Lesson 25, page 1 of 10 Glencoe Geometry Chapter 11.5, 11.6 Volume: Prisms, Cylinders, Pyramids, & Cones This week we look at the same solids as last time, we just add an extra dimension. Surface
More informationACTIVITY: Classifying Polynomials Using Algebra Tiles
7. Polynomials classify polynomials? How can you use algebra tiles to model and ACTIVITY: Meaning of Prefixes Work with a partner. Think of a word that uses one of the prefixes with one of the base words.
More information221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM
Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked
More informationresources Symbols < is less than > is greater than is less than or equal to is greater than or equal to = is equal to is not equal to
Symbols < is less than > is greater than is less than or equal to is greater than or equal to resources = is equal to is not equal to is approximately equal to similar a absolute value: = ; - = (x, y)
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 informationCHAPTER 1 BASIC ARITHMETIC
CHAPTER 1 BASIC ARITHMETIC EXERCISE 1, Page 4 1. Evaluate 67 kg 8 kg + 4 kg without using a calculator 67 kg 8 kg + 4 kg = 67 kg + 4 kg 8 kg = 101 kg 8 kg = 19 kg. Evaluate 851 mm 7 mm without using a
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, June 19, :15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, June 19, 2018 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any communications
More informationLearning Outcome 4 Measurement
Maths in Context Learning Outcome 4 Measurement Exercise Book Learning Outcome 4 Exercise 1 Select the most appropriate metric units for measuring each item. 1. The height of a person: (A) mm (B) cm (c)
More informationMeasurement in Two Systems
Booklet Mark: 10 9 8 7 6 RE-Submit Measurement in Two Systems This booklet belongs to: Period LESSON # DATE QUESTIONS FROM NOTES Questions that I find difficult Pg. Pg. Pg. Pg. Pg. Pg. Pg. Pg. Pg. Pg.
More informationUniversity of Houston High School Mathematics Contest Geometry Exam Spring 2015
University of Houston High School Mathematics Contest Geometry Exam Spring 2015 Note that diagrams may not be drawn to scale. 1. A pool has a 4 foot wide sidewalk around it. If the pool is 28 feet long
More informationChapter Start Thinking. 10π 31.4 cm. 1. 5π 15.7 cm 2. 5 π 7.9 cm π 13.1 cm Warm Up , 8π 2. 90,15π 3.
x = 8andx = 7 8. x = andx = 7. x = 0. x = 10 x = 11. x = 18. x =. x = 8 x = 1. x = x = 1 8. x = 175. 0. 5 8.. 8. 1. 18 8. a. x + 11 b. c. 11 d. 17. (, ) 50. 5 15 7, 5, 11, 1 7, 5 1, 5 1 1, 11, 5 75 58.
More informationCorrelation of WNCP Curriculum to Pearson Foundations and Pre-calculus Mathematics 10
Measurement General Outcome: Develop spatial sense and proportional reasoning. 1. Solve problems that involve linear measurement, using: SI and imperial units of measure estimation strategies measurement
More informationAbsolute Extrema and Constrained Optimization
Calculus 1 Lia Vas Absolute Extrema and Constrained Optimization Recall that a function f (x) is said to have a relative maximum at x = c if f (c) f (x) for all values of x in some open interval containing
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 informationshape Area Perimeter Circle Square rectangle Parallelogram Triangle Surface area to volume ratio = Savings Plan Formula A = P M T (1+ AP R N Loan Paym
APY compounded continuously APY= APY compounded n times APY= Compounded Continuously A= Compounded n times A= Simple Interest A= Three Exponential models Q= using T half Q= using T double Q= using r r=
More informationLog1 Contest Round 2 Theta Geometry
008 009 Log Contest Round Theta Geometry Name: Leave answers in terms of π. Non-integer rational numbers should be given as a reduced fraction. Units are not needed. 4 points each What is the perimeter
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 informationMathematics 10 Sample Questions
Mathematics 10 Sample Questions Math The following questions have been constructed to illustrate the various types of questions (, and Analysis) for each of the units of study in Mathematics 10. This document
More informationNegative Exponents Scientific Notation for Small Numbers
Negative Exponents Scientific Notation for Small Numbers Reteaching 51 Math Course 3, Lesson 51 The Law of Exponents for Negative Exponents An exponential expression with a negative exponent is the reciprocal
More informationVocabulary. 1. x ⁹x ³ 2. ( p ² ) ⁴ 3. ( x ² y ) ⁶. 4. ( 3m ³ ) ² 5. ( mn ³ w ² ) ( w ⁷mn ) 6. ( 7k ² x ) ( 2k ³ x ⁹ )
Review block 4 Vocabulary base cubed power cone exponent scientific notation cylinder perfect cube sphere cube root volume Lesson 4.1 ~ Multiplication Properties of Exponents Simplify. 1. x ⁹x ³ 2. ( p
More informationChapters 1 13 Final Mastery Test
Page 1 Chapters 1 13 Directions Circle the letter of the best answer. 1. The figure shown is a A cone B cylinder C pyramid D sphere 2. The volume of the rectangular prism shown is A 17.5 cm 3 B 70 cm 3
More informationMeasurement. 1 Numeracy and mathematics glossary. Terms Illustrations Definitions. Area
Terms Illustrations Definitions Area The amount of surface space an object covers, measured using non-standard and standard units. Area is usually measured in square units e.g. square centimetres (cm2),
More informationACTIVITY: Factoring Special Products. Work with a partner. Six different algebra tiles are shown below.
7.9 Factoring Special Products special products? How can you recognize and factor 1 ACTIVITY: Factoring Special Products Work with a partner. Six different algebra tiles are shown below. 1 1 x x x 2 x
More informationMATH 0030 Lecture Notes Section 2.1 The Addition Property of Equality Section 2.2 The Multiplication Property of Equality
MATH 0030 Lecture Notes Section.1 The Addition Property of Equality Section. The Multiplication Property of Equality Introduction Most, but not all, salaries and prices have soared over the decades. To
More informationY10 End of Year Exam Review Exercise _Academic
Y10 End of Year Exam Review Exercise _Academic 1. R 5 cm Q 12.5 cm x P PQR is a triangle. Angle PQR = 90. PQ = 12.5 cm. QR = 5 cm. Calculate the value of x. Give your answer correct to 1 decimal place....
More informationFinal Exam Practice Problems
NAME DATE PERIOD Final Exam Practice Problems Write the letter for the correct answer in the blank at the right of each question. 1. Find the perimeter of a rectangle with length 8 inches and width 9 inches.
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 informationUsing the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles
Math 154 Chapter 9.6: Applications of Radical Equations Objectives: Finding legs of right triangles Finding hypotenuse of right triangles Solve application problems involving right triangles Pythagorean
More informationComprehensive Mathematics Contest
Comprehensive Mathematics Contest Elon University Mathematics and Statistics Department Saturday, March 17, 2018 Multiple Choice 1. Let a and b be lengths of the major and minor axis of the ellipse given
More informationINTERIM ASSESSMENT. Grade 9 Mathematics. Administered December 2010 STUDENT NAME DATE ID. San Antonio Independent School District
STUDENT NAME DATE ID TEACHER NAME CLASSROOM PERIOD INTERIM ASSESSMENT Grade 9 Mathematics Administered December 00 San Antonio Independent School District This assessment reflects TEKS taught in the first
More informationKansas City Area Teachers of Mathematics 2015 KCATM Math Competition GEOMETRY GRADE 7
Kansas City Area Teachers of Mathematics 2015 KCATM Math Competition GEOMETRY GRADE 7 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators. Mark
More informationMeasurement Year 11. Rounding
Measurement Year 11 Rounding Do not round early. Students should carry all decimal places in working until the end of their calculations. They should then give their answers sensibly rounded. An answer
More informationSkill 7: Metric System U.S. System; Temperature Skill 8: Area and Perimeter
1 Skill 1: Order of Operations Skill 2: Multiplying & Dividing Fractions Skill 3: Adding and Subtracting Fractions Skill 4: Ratios, Rates & Proportions Skill 5: U.S. System Skill 6: Metric System Skill
More informationName: Pd: Score: Weekly Checkup Mixed Review. 1. The pictures below show how two different groups of shapes balance a scale.
Q3:1 - CALCULATOR and turned in the following week with your new check- up. 1. The pictures below show how two different groups of shapes balance a scale. a. If 1 block weights 10 pounds, what is the weight
More informationHarbor Creek School District
Numeration Unit of Study Big Ideas Algebraic Concepts How do I match a story or equation to different symbols? How do I determine a missing symbol in an equation? How does understanding place value help
More informationAdd, Subtract, Multiply, Divide Rational Numbers Evaluate each expression.
-1- Worksheet by Kuta Software LLC Math 7 NO CALCULATORS Add, Subtract, Multiply, Divide Rational Numbers Evaluate each expression. 1) ( 7) + ( 4) + 7 2) ( 4) + 8 ( 2) ID: 1 Name Date Period 3) ( 1) (
More informationPercent Change of Dimensions
Percent Change of Dimensions Reteaching 71 Math Course 3, Lesson 71 Dilation: Add the percent of increase to 100%. Reduction: Subtract the percent of decrease from 100%. Scale factor: To find the scale
More informationEnglish Measurement Relationships
Math 30 Prealgebra Sec 10.1: Using Unit Fractions with U.S. and Metric Units Defn A unit fraction is a fraction that shows the relationship between units and is equal to 1. Ex English Measurement Relationships
More informationApplications of Mathematics Unit 2: Applications 2
Write your name here Surname Other names Edexcel GCSE Centre Number Candidate Number Applications of Mathematics Unit 2: Applications 2 Practice paper Time: 1 hour 45 minutes Higher Tier Paper Reference
More informationSkills Practice Skills Practice for Lesson 11.1
Skills Practice Skills Practice for Lesson.1 Name Date Conics? Conics as Cross Sections Vocabulary Write the term that best completes each statement. 1. are formed when a plane intersects a double-napped
More information