Good Luck To. DIRECTIONS: Answer each question and show all work in the space provided. The next two terms of the sequence are,
|
|
|
- Prosper Moody
- 6 years ago
- Views:
Transcription
1 Good Luck To Period Date DIRECTIONS: Answer each question and show all work in the space provided. 1. Find the next two terms of the sequence. 6, 36, 216, 1296, _?_, _?_ The next two terms of the sequence are, 2. Find the next two terms of the sequence. 4, 16, 256, _?_, _?_ The next two terms of the sequence are, 3. Draw the next two terms of the sequence. 4 th Term 5 th Term Page 1 of 8
2 4. Draw the next term terms in the sequence. 4 th Term 5 th Term 5. Complete the table. n f (n) = 5n-7 6. Complete the table. n f (n) = -3n+8 Page 2 of 8
3 7. Complete the table by finding the rule for the nth term and the 100 th term. Term n 100 Value Complete the table by finding the rule for the nth term and the 100 th term. Term n 100 Value In the sequence below, the first term has four triangles. How many triangles are in the 6 th term? Write the nth rule for determining the number of triangles in the figure. Then use the rule to find the number of triangles in the 100 th term. Number of triangles in the 6 th term Nth rule for the number of triangles Number of triangles in the 100 th term. Page 3 of 8
4 10. If each team in a twelve team league plays each of the other team twice in a season, how many league games are played during the one season? Number of games played during the one season 11. The table below is used to record the number of two person conversations between n people. How many two people conversations are possible at a party of 4 people? n people? Of 200 people? People n 200 Conversations Describe in words the pattern found in the following sequence. The pattern of the sequence is Page 4 of 8
5 13. reasoning is the process of showing that certain statements follow logically from agreed-upon assumptions and proven facts. a. Inductive b. Deductive 14. reasoning is the process of observing data, recognizing patterns, and making generalizations about those patterns. a. Inductive b. Deductive 15. When you are finding the next term in a sequence. What type of reasoning are you using? a. Inductive b. Deductive 16. A and B are supplementary. m A= 36. What is m B? What type of reasoning did you use, inductive or deductive, to solve this problem? m B Type of reasoning 17. The definition of a trapezoid says, If a quadrilateral has exactly one pair of parallel sides, then it is a trapezoid. Quadtrilateral ABCD has AB parallel to CD. What conclusion can you make about the quadrilateral. What type of reasoning did you use? Quadrilateral ABCD is a Reasoning used Page 5 of 8
6 18. Solve the equation for x. Give a reason for each step in the process. What type of reasoning, inductive or deductive, do you use when solving this problem? 3x+ 2( x 2) = 7+ 4x a. a. b. b. c. c. d. d. Type of reasoning used 19. The table below shows the number of diagonals of several regular polygons. Number of sides of a polygon Number of diagonals ? If the pattern in the table continues, how many diagonals does a regular polygon with 9 sides have? a. 24 b. 25 c. 26 d. 27 Page 6 of 8
7 20. The sum of the measures of the angles of each polygon are shown below. If the patterns continues what would the sum of the measures of the angles of a hexagon be? What type of reasoning did you use? Sum of the measures of a hexagon Type of reasoning used Page 7 of 8
8 TOPIC II ANSWER KEY Problem Number Answer Standard , MA.912.D , MA.912.D MA.912.D , MA.912.D.1.1, 5. -2, 3, 8, 13, 18 MA.912.D , 2, -1, -4, -7 MA.912.D n+33, -367 MA.912.D n+2, 502 MA.912.D , 4n, 400 MA.912.D MA.912.D ,, MA.912.D The pattern of the sequence is the number of MA.912.G.8.4 vertices of the polygon increases by one. 13. a. MA.912.D b. MA.912.D a. MA.912.D , deductive MA.912.D Trapezoid, Deductive MA.912.D a. 3x+ 2x 4= 7+ 4x, Distributive Property b. 5x 4= 7+ 4x, Closure for Addition(Simplify by combining like terms) c. x 4= 7, Additive Property of Equality Closure MA.912.G.8.4 for Addition (Subtract from both sides) d. x = 11, Additive Property of Equality Closure for Addition (Add 2 to both sides) Deductive Reasoning 19. d. MA.912.G , Inductive MA.912.G.8.4 Page 8 of 8
Meet #3 January Intermediate Mathematics League of Eastern Massachusetts
Meet #3 January 2009 Intermediate Mathematics League of Eastern Massachusetts Meet #3 January 2009 Category 1 Mystery 1. How many two-digit multiples of four are there such that the number is still a
#0 Theta Ciphering MA National Convention 2015 The two lines with equations 17x 8y 159 and intersect at the point, the least common multiple of
#0 Theta Ciphering The two lines with equations 17x 8y 159 and 9x 7y 219 intersect at the point, the least common multiple of Aand B. AB. Find #0 Theta Ciphering The two lines with equations 17x 8y 159
(A) Circle (B) Polygon (C) Line segment (D) None of them (A) (B) (C) (D) (A) Understanding Quadrilaterals <1M>
Understanding Quadrilaterals 1.A simple closed curve made up of only line segments is called a (A) Circle (B) Polygon (C) Line segment (D) None of them 2.In the following figure, which of the polygon
(A) Circle (B) Polygon (C) Line segment (D) None of them
Understanding Quadrilaterals 1.The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60 degree. Find the angles of the parallelogram.
Geometry. a) Rhombus b) Square c) Trapezium d) Rectangle
Geometry A polygon is a many sided closed shape. Four sided polygons are called quadrilaterals. Sum of angles in a quadrilateral equals 360. Parallelogram is a quadrilateral where opposite sides are parallel.
Downloaded from
1 IX Mathematics Chapter 8: Quadrilaterals Chapter Notes Top Definitions 1. A quadrilateral is a closed figure obtained by joining four points (with no three points collinear) in an order. 2. A diagonal
6-1. Angles of Polygons. Lesson 6-1. What You ll Learn. Active Vocabulary
6-1 Angles of Polygons What You ll Learn Skim Lesson 6-1. Predict two things that you expect to learn based on the headings and figures in the lesson. 1. 2. Lesson 6-1 Active Vocabulary diagonal New Vocabulary
Grade 6 Middle School Mathematics Contest A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot?
Grade 6 Middle School Mathematics Contest 2004 1 1. A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot? a. 6 b. 8 c. 16 d. 48 e. 56 2. How many different prime
Copying a Line Segment
Copying a Line Segment Steps 1 4 below show you how to copy a line segment. Step 1 You are given line segment AB to copy. A B Step 2 Draw a line segment that is longer than line segment AB. Label one of
A. 100 B. 110 C. 115 D. 145 E. 210
Practice Quiz Polygons Area Perimeter Volume 1. Two angles of a hexagon measure 140 each. The other four angles are equal in measure. What is the measure of each of the other four equal angles, in degrees?
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Justin gathered the following evidence.
Name: Date: Chapter 2 Quiz Geometry. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Date: Chapter 2 Quiz Geometry Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x? Identify the missing justifications.,, and.
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning
FOM 11 Ch. 1 Practice Test Name: Inductive and Deductive Reasoning Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Justin gathered the following evidence.
3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm.
1 In the diagram below, ABC XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements identify
Geometry - Chapter 6 Review
Class: Date: Geometry - Chapter 6 Review 1. Find the sum of the measures of the angles of the figure. 4. Find the value of x. The diagram is not to scale. A. 1260 B. 900 C. 540 D. 720 2. The sum of the
18 Two-Dimensional Shapes
18 Two-Dimensional Shapes CHAPTER Worksheet 1 Identify the shape. Classifying Polygons 1. I have 3 sides and 3 corners. 2. I have 6 sides and 6 corners. Each figure is made from two shapes. Name the shapes.
Lesson 1 Area of Parallelograms
NAME DATE PERIOD Lesson 1 Area of Parallelograms Words Formula The area A of a parallelogram is the product of any b and its h. Model Step 1: Write the Step 2: Replace letters with information from picture
6-3 Conditions for Parallelograms
Warm Up Justify each statement. 1. 2. Reflex Prop. of Conv. of Alt. Int. s Thm. Evaluate each expression for x = 12 and y = 8.5. 3. 2x + 7 4. 16x 9 31 183 5. (8y + 5) 73 Objective Prove that a given quadrilateral
4.1 Patterns. Example 1 Find the patterns:
4.1 Patterns One definition of mathematics is the study of patterns. In this section, you will practice recognizing mathematical patterns in various problems. For each example, you will work with a partner
BRITISH COLUMBIA SECONDARY SCHOOL MATHEMATICS CONTEST, 2006 Senior Preliminary Round Problems & Solutions
BRITISH COLUMBIA SECONDARY SCHOOL MATHEMATICS CONTEST, 006 Senior Preliminary Round Problems & Solutions 1. Exactly 57.4574% of the people replied yes when asked if they used BLEU-OUT face cream. The fewest
Name Date Class Practice A. 5. Look around your classroom. Describe a geometric pattern you see.
Practice A Geometric Patterns Identify a possible pattern. Use the pattern to draw the next figure. 5. Look around your classroom. Describe a geometric pattern you see. 6. Use squares to create a geometric
6th FGCU Invitationdl Math Competition
6th FGCU nvitationdl Math Competition Geometry ndividual Test Option (E) for all questions is "None of the above." 1. MC = 12, NC = 6, ABCD is a square. 'h What is the shaded area? Ans ~ (A) 8 (C) 25 2.
KSF selected problems Student
3 point problems 1. Andrea was born in 1997, her younger sister Charlotte in 2001. The age difference of the two sisters is therefore in any case. (A) less than 4 years (B) at least 4 years (C) exactly
0810ge. Geometry Regents Exam y # (x $ 3) 2 % 4 y # 2x $ 5 1) (0,%4) 2) (%4,0) 3) (%4,%3) and (0,5) 4) (%3,%4) and (5,0)
0810ge 1 In the diagram below, ABC! XYZ. 3 In the diagram below, the vertices of DEF are the midpoints of the sides of equilateral triangle ABC, and the perimeter of ABC is 36 cm. Which two statements
Geometry 2001 part 1
Geometry 2001 part 1 1. Point is the center of a circle with a radius of 20 inches. square is drawn with two vertices on the circle and a side containing. What is the area of the square in square inches?
Meet #3 January Intermediate Mathematics League of Eastern Massachusetts
Meet #3 January 2008 Intermediate Mathematics League of Eastern Massachusetts Meet #3 January 2008 Category 1 Mystery 1. Mike was reading a book when the phone rang. He didn't have a bookmark, so he just
13 Searching for Pattern
13 Searching for Pattern 13.1 Pictorial Logic In this section we will see how to continue patterns involving simple shapes. Example Continue these patterns by drawing the next 5 shapes in each case: Solution
Warm-Up Exercises. Find the value of x. 1. ANSWER 65 ANSWER 120
Warm-Up Exercises Find the value of x. 1. 65 2. 120 Warm-Up Exercises Find the value of x. 3. 70 EXAMPLE Warm-Up 1Exercises Identify quadrilaterals Quadrilateral ABCD has at least one pair of opposite
Geometry Topic 4 Quadrilaterals and Coordinate Proof
Geometry Topic 4 Quadrilaterals and Coordinate Proof MAFS.912.G-CO.3.11 In the diagram below, parallelogram has diagonals and that intersect at point. Which expression is NOT always true? A. B. C. D. C
Fun Challenges Problem Solving Reasoning Deductive Thinking Convergent/Divergent Thinking Mind-Bending Challenges Critical Thinking
Fun Challenges Problem Solving Reasoning Deductive Thinking Convergent/Divergent Thinking Mind-ending Challenges Critical Thinking Magic Shapes #1 Magic Shapes #1 Directions: Write the numbers 1 through
Unit 6: Quadrilaterals
Name: Period: Unit 6: Quadrilaterals Geometry Honors Homework Section 6.1: Classifying Quadrilaterals State whether each statement is true or false. Justify your response. 1. All squares are rectangles.
2008 Cedar Ridge Test Solutions
2008 Cedar Ridge Test Solutions 1) The value of 1.4 + 0.03 + 0.009 + 7 is Step 1: Line up all of the decimals in the equation: 1.4 0.03 0.009 + 7 8.439 2) Solve: 4 + 2 x 3 4 2 + 3 = Answer: 8.439 Order
Geometer s Skethchpad 7th Grade Guide to Learning Geometry
Geometer s Skethchpad 7th Grade Guide to Learning Geometry This Guide Belongs to: Date: 2 -- Learning with Geometer s Sketchpad **a story can be added or one could choose to use the activities alone and
Geometry Chapter 8 8-5: USE PROPERTIES OF TRAPEZOIDS AND KITES
Geometry Chapter 8 8-5: USE PROPERTIES OF TRAPEZOIDS AND KITES Use Properties of Trapezoids and Kites Objective: Students will be able to identify and use properties to solve trapezoids and kites. Agenda
CTB/McGraw-Hill. Math Quarter 2: Week 5: Mixed Review Test ID:
Page 1 of 35 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703. All rights reserved. Only authorized customers
Meet #2 November Intermediate Mathematics League of Eastern Massachusetts
Meet #2 November 2007 Intermediate Mathematics League of Eastern Massachusetts Meet #2 November 2007 Category 1 Mystery 1. Han and Sean are playing a game. Han tells Sean to think of a number. Han then
9.1 and 9.2 Introduction to Circles
Date: Secondary Math 2 Vocabulary 9.1 and 9.2 Introduction to Circles Define the following terms and identify them on the circle: Circle: The set of all points in a plane that are equidistant from a given
6.2 Slopes of Parallel and Perpendicular Lines
. Slopes of Parallel and Perpendicular Lines FOCUS Use slope to find out if two lines are parallel or perpendicular. These two lines are parallel. Slope of line AB Slope of line CD These two lines have
Lesson 3A. Opening Exercise. Identify which dilation figures were created using r = 1, using r > 1, and using 0 < r < 1.
: Properties of Dilations and Equations of lines Opening Exercise Identify which dilation figures were created using r = 1, using r > 1, and using 0 < r < 1. : Properties of Dilations and Equations of
G.MG.A.3: Area of Polygons
Regents Exam Questions G.MG.A.3: Area of Polygons www.jmap.org Name: G.MG.A.3: Area of Polygons If the base of a triangle is represented by x + 4 and the height is represented by x, which expression represents
3. Given the similarity transformation shown below; identify the composition:
Midterm Multiple Choice Practice 1. Based on the construction below, which statement must be true? 1 1) m ABD m CBD 2 2) m ABD m CBD 3) m ABD m ABC 1 4) m CBD m ABD 2 2. Line segment AB is shown in the
Grade 2 Calendar Grid Answer Key
Grade 2 Calendar Grid Answer Key September Date Marker Type Equation How Many to 20? 1 number rack 1 + 1 = 2 2 + 18 = 20 2 pennies 1 + 0 = 1 1 + 19 = 20 3 story problem 20 20 = 0 0 + 20 = 20 4 number rack
March 5, What is the area (in square units) of the region in the first quadrant defined by 18 x + y 20?
March 5, 007 1. We randomly select 4 prime numbers without replacement from the first 10 prime numbers. What is the probability that the sum of the four selected numbers is odd? (A) 0.1 (B) 0.30 (C) 0.36
GEOMETRY, MODULE 1: SIMILARITY
GEOMETRY, MODULE 1: SIMILARITY LIST OF ACTIVITIES: The following three activities are in the Sec 01a file: Visual Level: Communication Under the Magnifying Glass Vusi s Photos The activities below are
Constructing Perpendiculars to a Line. Finding the Right Line. Draw a line and a point labeled P not on the line, as shown above.
Page 1 of 5 3.3 Intelligence plus character that is the goal of true education. MARTIN LUTHER KING, JR. Constructing Perpendiculars to a Line If you are in a room, look over at one of the walls. What is
Geometry Unit 5 Practice Test
Name: Class: Date: ID: X Geometry Unit 5 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the value of x in the rectangle? Hint: use
Discussion: With a partner, discuss what you believe a parallelogram is? Parallelogram Definition:
Name: Ms. Ayinde Date: Geometry CC 4.2: Properties of Parallelograms Objective: To recognize and apply properties of sides, angles, and diagonals of parallelograms. To determine the area and perimeter
Downloaded from
Symmetry 1 1.Find the next figure None of these 2.Find the next figure 3.Regular pentagon has line of symmetry. 4.Equlilateral triangle has.. lines of symmetry. 5.Regular hexagon has.. lines of symmetry.
Kangaroo 2017 Student lukio
sivu 1 / 9 NAME CLASS Points: Kangaroo leap: Separate this answer sheet from the test. Write your answer under each problem number. A right answer gives 3, 4 or 5 points. Every problem has exactly one
Indicate whether the statement is true or false.
MATH 121 SPRING 2017 - PRACTICE FINAL EXAM Indicate whether the statement is true or false. 1. Given that point P is the midpoint of both and, it follows that. 2. If, then. 3. In a circle (or congruent
To Explore the Properties of Parallelogram
Exemplar To Explore the Properties of Parallelogram Objective To explore the properties of parallelogram Dimension Measures, Shape and Space Learning Unit Quadrilaterals Key Stage 3 Materials Required
1. What term describes a transformation that does not change a figure s size or shape?
1. What term describes a transformation that does not change a figure s size or shape? () similarity () isometry () collinearity (D) symmetry For questions 2 4, use the diagram showing parallelogram D.
2014 Edmonton Junior High Math Contest ANSWER KEY
Print ID # School Name Student Name (Print First, Last) 100 2014 Edmonton Junior High Math Contest ANSWER KEY Part A: Multiple Choice Part B (short answer) Part C(short answer) 1. C 6. 10 15. 9079 2. B
16. DOK 1, I will succeed." In this conditional statement, the underlined portion is
Geometry Semester 1 REVIEW 1. DOK 1 The point that divides a line segment into two congruent segments. 2. DOK 1 lines have the same slope. 3. DOK 1 If you have two parallel lines and a transversal, then
Solutions to Exercise problems
Brief Overview on Projections of Planes: Solutions to Exercise problems By now, all of us must be aware that a plane is any D figure having an enclosed surface area. In our subject point of view, any closed
Angles and. Learning Goals U N I T
U N I T Angles and Learning Goals name, describe, and classify angles estimate and determine angle measures draw and label angles provide examples of angles in the environment investigate the sum of angles
Please bring a laptop or tablet next week! Upcoming Assignment Measurement Investigations Patterns & Algebraic Thinking Investigations Break A Few
Please bring a laptop or tablet next week! Upcoming Assignment Measurement Investigations Patterns & Algebraic Thinking Investigations Break A Few More Investigations Literature Circles Final Lesson Plan
A) 15 B) 13 C) 11 D) 9 E) 8
Junior: Class (9-0) 3-Point-Problems Q: Asif, Usman and Sami have 30 balls together. If Usman gives 5 to Sami, Sami gives 4 to Asif and Asif gives to Usman, then the boys will have the same number of balls.
Combinatorics: The Fine Art of Counting
Combinatorics: The Fine Art of Counting Week Four Solutions 1. An ice-cream store specializes in super-sized deserts. Their must famous is the quad-cone which has 4 scoops of ice-cream stacked one on top
GEOMETRY (Common Core)
GEOMETRY (COMMON CORE) Network 603 PRACTICE REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Practice Exam Student Name: School Name: The possession or use of any communications device is strictly
Worksheet 10 Memorandum: Construction of Geometric Figures. Grade 9 Mathematics
Worksheet 10 Memorandum: Construction of Geometric Figures Grade 9 Mathematics For each of the answers below, we give the steps to complete the task given. We ve used the following resources if you would
Mathworks Math Contest (MMC) For Middle School Students October 29, 2013
Mathworks Math Contest (MMC) For Middle School Students October 29, 2013 SCORE (for Mathworks use) STUDENT COVER SHEET Please write in all information neatly and clearly to ensure proper grading. Thank
0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?
0809ge 1 Based on the diagram below, which statement is true? 3 In the diagram of ABC below, AB # AC. The measure of!b is 40. 1) a! b 2) a! c 3) b! c 4) d! e What is the measure of!a? 1) 40 2) 50 3) 70
EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. THIRTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 19 th, 2013
EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S THIRTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 19 th, 2013 1. DO NOT OPEN YOUR TEST BOOKLET OR BEGIN WORK UNTIL
UNDERSTAND SIMILARITY IN TERMS OF SIMILARITY TRANSFORMATIONS
UNDERSTAND SIMILARITY IN TERMS OF SIMILARITY TRANSFORMATIONS KEY IDEAS 1. A dilation is a transformation that makes a figure larger or smaller than the original figure based on a ratio given by a scale
Chapter 4: Patterns and Relationships
Chapter : Patterns and Relationships Getting Started, p. 13 1. a) The factors of 1 are 1,, 3,, 6, and 1. The factors of are 1,,, 7, 1, and. The greatest common factor is. b) The factors of 16 are 1,,,,
Class : VI - Mathematics
O. P. JINDAL SCHOOL, RAIGARH (CG) 496 001 Phone : 07762-227042, 227293, (Extn. 227001-49801, 02, 04, 06); Fax : 07762-262613; e-mail: opjsraigarh@jspl.com; website : www.opjsrgh.in Class : VI - Mathematics
GEOMETRY. Workbook Common Core Standards Edition. Published by TOPICAL REVIEW BOOK COMPANY. P. O. Box 328 Onsted, MI
Workbook Common Core Standards Edition Published by TOPICAL REVIEW BOOK COMPANY P. O. Box 328 Onsted, MI 49265-0328 www.topicalrbc.com EXAM PAGE Reference Sheet...i January 2017...1 June 2017...11 August
Assignment Assigned Date Due Date Grade 4.7 Worksheet
Geometry Unit 4 and 5: Packet 2 QUADRILATERALS This is a packet containing the homework and some classwork for the first half of the first unit of geometry. This MUST be completed and turned in before
5. The symmetry shown by the flag of the Bahamas is. Name: ID: A. b. 3 d. 9. a. 1 c. 6
Name: Class: Date: ID: A Math 9 Practice Final Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the design below, the dashed line represents a.
Measuring and Drawing Angles and Triangles
NME DTE Measuring and Drawing ngles and Triangles Measuring an angle 30 arm origin base line 0 180 0 If the arms are too short to reach the protractor scale, lengthen them. Step 1: lace the origin of the
6 th Grade Middle School Math Contest 2017 Page 1 of 9
1. In 2013, Mia s salary was a certain amount. In 2014, she received a 10% raise from 2013. In 2015, she received a 10% decrease in salary from 2014. How did her 2015 salary compare to her 2013 salary?
Find the coordinates of the midpoint of a segment having the given endpoints.
G.(2) Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to
UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 3: Constructing Polygons Instruction
rerequisite Skills This lesson requires the use of the following skills: using a compass copying and bisecting line segments constructing perpendicular lines constructing circles of a given radius Introduction
HANOI STAR - APMOPS 2016 Training - PreTest1 First Round
Asia Pacific Mathematical Olympiad for Primary Schools 2016 HANOI STAR - APMOPS 2016 Training - PreTest1 First Round 2 hours (150 marks) 24 Jan. 2016 Instructions to Participants Attempt as many questions
, ; Obtain a Lesson Resource Page from your teacher. On it, find the quadrilateral shown in Diagram # 1 at right. Diagram #1
3-2. Stretching a figure as ou did in problem 3-1 is another transformation called a dilation. When a figure is dilated from a point, the result is a similar figure. How are dilated figures related to
Park Forest Math Team. Meet #2. Geometry. Self-study Packet
Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
Geometry by Jurgensen, Brown and Jurgensen Postulates and Theorems from Chapter 1
Postulates and Theorems from Chapter 1 Postulate 1: The Ruler Postulate 1. The points on a line can be paired with the real numbers in such a way that any two points can have coordinates 0 and 1. 2. Once
Daniel Plotnick. November 5 th, 2017 Mock (Practice) AMC 8 Welcome!
November 5 th, 2017 Mock (Practice) AMC 8 Welcome! 2011 = prime number 2012 = 2 2 503 2013 = 3 11 61 2014 = 2 19 53 2015 = 5 13 31 2016 = 2 5 3 2 7 1 2017 = prime number 2018 = 2 1009 2019 = 3 673 2020
Secondary 2 Unit 7 Test Study Guide
Class: Date: Secondary 2 Unit 7 Test Study Guide 2014-2015 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which statement can you use to conclude that
2 Reasoning and Proof
www.ck12.org CHAPTER 2 Reasoning and Proof Chapter Outline 2.1 INDUCTIVE REASONING 2.2 CONDITIONAL STATEMENTS 2.3 DEDUCTIVE REASONING 2.4 ALGEBRAIC AND CONGRUENCE PROPERTIES 2.5 PROOFS ABOUT ANGLE PAIRS
Combinatorics: The Fine Art of Counting
Combinatorics: The Fine Art of Counting Week Four Problems Please read through the entire menu and try to classify each problem into one of the following types: Counting Subsets, Distinct Partitions, Block
Methods in Mathematics (Linked Pair Pilot)
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Methods in Mathematics (Linked Pair Pilot) Unit 2 Geometry and Algebra Monday 11 November 2013
Meet # 1 October, Intermediate Mathematics League of Eastern Massachusetts
Meet # 1 October, 2000 Intermediate Mathematics League of Eastern Massachusetts Meet # 1 October, 2000 Category 1 Mystery 1. In the picture shown below, the top half of the clock is obstructed from view
Mathematics Second Practice Test 1 Levels 3-5 Calculator not allowed
Mathematics Second Practice Test 1 Levels 3-5 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
Inductive Reasoning. L E S S O N 2.1
Page 1 of 6 L E S S O N 2.1 We have to reinvent the wheel every once in a while, not because we need a lot of wheels; but because we need a lot of inventors. BRUCE JOYCE Language The word geometry means
Mathematics Paper 2. Stage minutes. Page Mark. Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST
1 55 minutes Mathematics Paper 2 Stage 7 Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST Answer all questions in the spaces provided on the question paper. You should
We congratulate you on your achievement in reaching the second round of the Ulpaniada Mathematics Competition and wish you continued success.
BS D Dear Participant, Shevat 5774 /January 2014 We congratulate you on your achievement in reaching the second round of the Ulpaniada Mathematics Competition and wish you continued success. Please fill
June 2016 Regents GEOMETRY COMMON CORE
1 A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation? 4) 2
Solutions of problems for grade R5
International Mathematical Olympiad Formula of Unity / The Third Millennium Year 016/017. Round Solutions of problems for grade R5 1. Paul is drawing points on a sheet of squared paper, at intersections
SOLUTION: The trapezoid ABCD is an isosceles trapezoid. So, each pair of base angles is congruent. Therefore,
Find each measure. 1. The trapezoid ABCD is an isosceles trapezoid. So, each pair of base angles is congruent. Therefore, 2. WT, if ZX = 20 and TY = 15 The trapezoid WXYZ is an isosceles trapezoid. So,
Meet #2. Park Forest Math Team. Self-study Packet
Park Forest Math Team Meet #2 Self-study Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : rea and perimeter of polygons 3. Number Theory:
autumn 2 a) Ring each number that has four tens. b) Tick (!) each number that has eight units
Name... 1 Write the seasons in order. Use these words. summer spring winter autumn 2 a) Ring each number that has four tens. b) Tick (!) each number that has eight units. 28 84 47 54 14 40 78 3 Match each
(A) $2.53 (B) $5.06 (C) $6.24 (D) $7.42 (E) $8.77
First AMC 10 2000 2 1. In the year 2001, the United States will host the International Mathematical Olympiad. Let I, M, and O be distinct positive integers such that the product I M O = 2001. What is the
Mathematics 43601F. Geometry. In the style of General Certificate of Secondary Education Foundation Tier. Past Paper Questions by Topic TOTAL
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials In the style of General Certificate of Secondary Education Foundation Tier Pages 2 3 4 5 Mark
Simple Counting Problems
Appendix F Counting Principles F1 Appendix F Counting Principles What You Should Learn 1 Count the number of ways an event can occur. 2 Determine the number of ways two or three events can occur using
Length and area Block 1 Student Activity Sheet
Block 1 Student Activity Sheet 1. Write the area and perimeter formulas for each shape. 2. What does each of the variables in these formulas represent? 3. How is the area of a square related to the area
ANSWERS FOR ONE-PAGE MATH ACTIVITIES
ANSWERS FOR ONE-PAGE MATH ACTIVITIES Math Activity 1.1. Three moves are required for 1 peg on each side and 8 moves are required for pegs on each side.. For pegs on each side the minimum number of moves
Basic Mathematics Review 5232
Basic Mathematics Review 5232 Symmetry A geometric figure has a line of symmetry if you can draw a line so that if you fold your paper along the line the two sides of the figure coincide. In other words,
HIGH SCHOOL - PROBLEMS
PURPLE COMET! MATH MEET April 2013 HIGH SCHOOL - PROBLEMS Copyright c Titu Andreescu and Jonathan Kane Problem 1 Two years ago Tom was 25% shorter than Mary. Since then Tom has grown 20% taller, and Mary