Abstract Rules: Rule 1. O 7, 8 or 9 Rule 2. XPR or RPX Rule 3. N R Rule 4. N(S), (S)N, N(U), (U)N

Save this PDF as:

Size: px
Start display at page:

Download "Abstract Rules: Rule 1. O 7, 8 or 9 Rule 2. XPR or RPX Rule 3. N ----- R Rule 4. N(S), (S)N, N(U), (U)N"

Transcription

1 Questions 1 5 Each of seven travelers Norris, Oribe, Paulsen, Rosen, Semonelli, Tan, and Underwood will be assigned to exactly one of nine airplane seats. The seats are numbered from 1 through 9 and arranged in rows as follows: Front row: Middle row: Last row: Only seats in the same row as each other are immediately beside each other. Seat assignments must meet the following conditions: Oribe s seat is in the last row. Paulsen s seat is immediately beside Rosen s seat and also immediately beside an unassigned seat. Rosen s seat is in the row immediately behind the row in which Norris seat is located. Neither Semonelli nor Underwood is seated immediately beside Norris. Abstract Rules: Rule 1. O 7, 8 or 9 Rule 2. XPR or RPX Rule 3. N R Rule 4. N(S), (S)N, N(U), (U)N Potential inferences: Inf 1. Row 1: [N somewhere] Because O is in last row, N is in front of R, R is in a full row so can t be in last row with O Inf 2. Row 2: [XPR or RPX] See above information Row 3: [O somewhere] See Rule 1 1. Which one of the following is a pair of travelers who could be assigned to seats 2 and 8, respectively? (A) Norris, Semonelli (B) Oribe, Underwood (C) Paulsen, Oribe (D) Rosen, Semonelli (E) Underwood, Tan a. CORRECT ANSWER e.g., row 1: xnt; row 2: xpr; row 3: USO b. O can t be in row 1 (which is where seat 2 is) see rule 1 c. P can t be in row 1 (which is where seat 2 is) see inf 1 d. R can t be in row 1 (which is where seat 2 is) see inf 1 e. U can t be in row 1 (which is where seat 2 is) see inf 1 to notice N is in the first row. If N is there U can t be in the middle of the row or would have NU or UN which can t be Rule If Semonelli and Underwood are not assigned to seats in the same row as each other, which one of the following must be false? (A) Norris is assigned to seat 2. (B) Paulsen is assigned to seat 5. (C) Rosen is assigned to seat 4. (D) Tan is assigned to seat 2. (E) Underwood is assigned to seat 1. Inf new: Pair 1: row 1: [S and N] and row 3: [U and O] or Pair 2: [U and N]; row 3: [S and O] A. CORRECT ANSWER. N can t be in seat 2 if either S or U is in row 1 see inf new that either U or S is in row 1 with N but N can t be in middle of row or would have NU or UN which can t be Rule 4. So you found the one that must be false so you can stop! 3. If Semonelli is assigned to a seat in the same row as Underwood, which one of the following travelers could be assigned to a seat immediately beside one of the unassigned seats? (A) Oribe (B) Rosen (C) Semonelli (D) Tan (E) Underwood

2 IF S and U both in same row it can t be Row 1 (otherwise violates Rule 4) so must be Row 3 leading to New Inf 1. Row 3: [some combo of USO] Question asks for who could be next to unassigned seat (X)? (A) Can t be O since O s row is already full (see New Inf 1) Row 3: [some combo of USO] (B) Can t be R since Inf 2 tell us Row 2 is either XPR or RPX so R is an asile and next to P (C) Can t be S since S s row is already full (see New Inf 1) Row 3: [some combo of USO] (D) CORRECT ANSWER e.g., row 1: NTx or TxN (E) Can t be U since U s row is already full (see New Inf 1) Row 3: [some combo of USO] 4. If the seat to which Tan is assigned is immediately beside a seat assigned to another traveler and also immediately beside one of the unassigned seats, which one of the following must be true? (A) Tan is assigned to a seat in the front row. (B) Tan is assigned to a seat in the last row. (C) Oribe is assigned to a seat immediately beside Semonelli. (D) Oribe is assigned to a seat immediately beside Tan. (E) Semonelli is assigned to a seat immediately beside Underwood. If xt? or?tx, then that? can t be in Row 3 with O or both U and S would have to be in Row 1 with N which is not possible. Therefore the T has to be in Row 1 and the? has to be N: Row 1: xtn or NTx (A) CORRECT ANSWER (B) No because US can t both be in Row 1. [USN] combo violates Rule 4 (C) No. This is a can be not a MUST: Row 3 could be OUS so not a MUST (D) No. O and T have to be in different rows (E) No. This is a can be not a MUST: Row 3 could be SOU so not a MUST 5. If Oribe is assigned to a seat immediately beside one of the unassigned seats, which one of the following must be true? (A) Oribe is assigned to seat 8. (B) Tan is assigned to seat 2. (C) Underwood is assigned to seat 1. (D) Seat 4 is unassigned. (E) Seat 9 is unassigned. If?Ox, Ox?,?xO, or xo? then T has to be in Row 1 because U and S can t be both in Row 1. Row 1 could be STN, NTS, UTN, or NTU. New inf: Row 1 has T in seat 2. (A) No. Row 3 could be?uo so O could be in seat 9. This is a could not a MUST. (B) CORRECT ANSWER (see new inf. T is a buffer) (C) No. Row 1 could be STN so S could be in seat 1. This is a could not a MUST. (D) No. Row 2 could be RPX so R could be in seat 4. This is a could not a MUST. (E) No. Row 3 could be?uo so O could be in seat 9. This is a could not a MUST. Questions 6 12 A university library budget committee must reduce exactly five of eight areas of expenditure G, L, M, N, P, R, S, and W in accordance with the following conditions: If both G and S are reduced, W is also reduced. If N is reduced, neither R nor S is reduced. If P is reduced, L is not reduced. Of the three areas L, M, and R, exactly two are reduced. Abstract Rules: Rule 1. IF GS GSW Rule 2. IF N (R)(S) Rule 3. IF P (L) Rule 4. LM(R) or LR(M) or RM(L) 6. Which one of the following could be a complete and accurate list of the areas of expenditure reduced by the committee? (A) G, L, M, N, W (B) G, L, M, P, W (C) G, M, N, R, W (D) G, M, P, R, S (E) L, M, R, S, W (A) CORRECT ANSWER

3 (B) Violates Rule 3 (can t have both P and L) (C) Violates Rule 2 (can t have both N and R) (D) Violates Rule 1 (G and S, therefore also need W) (E) Violates Rule 4 (can t have L, M, and R; only 2 of those) 7. If W is reduced, which one of the following could be a complete and accurate list of the four other areas of expenditure to be reduced? (A) G, M, P, S (B) L, M, N, R (C) L, M, P, S (D) M, N, P, S (E) M, P, R, S (A) Violates Rule 4 (need either L or R in addition to M) (B) Violates Rule 2 (can t have both N and R) (C) Violates Rule 3 (can t have both P and L) (D) Violates Rule 2 (can t have both N and S) (E) CORRECT ANSWER 8. If P is reduced, which one of the following is a pair of areas of expenditure both of which must be reduced? (A) G, M (B) M, R (C) N, R (D) R, S (E) S, W (B) CORRECT ANSWER Since P is reduce, we know that L is not (Rule 3) and and Rule 4 says M and R if not L 9. If both L and S are reduced, which one of the following could be a pair of areas of expenditure both of which are reduced? (A) G, M (B) G, P (C) N, R (D) N, W (E) P, S (A) CORRECT ANSWER (B) Violates Rule 3 (can t have both P and L) (C) Violates Rule 2 (can t have both N and R) (D) Violates Rule 2 (can t have both N and S) (E) Violates Rule 3 (can t have both P and L) 10. If R is not reduced, which one of the following must be true? (A) G is reduced. (B) N is not reduced. (C) P is reduced. (D) S is reduced. (E) W is not reduced. TRICK HERE IS TO IGNORE COULD S AND ONLY LOOK FOR MUST S. Notice sometimes you have to try out the answers. These take longer to solve. Reduce Not reduce R Rule 4: LM R Rule 3: LM RP (A) CORRECT ANSWER LMNSW RPG (violates Rule 2 is you try to reduce G so that is that answer. G must be reduced) (B) Notice reducing N is possible. LMGSW RPN (C) Can t have both L and P (Rule 3) (D) Notice reducing S is possible. LMGNW RPS (E) Can t have both N and S (Rule 2)

7 19. Which one of the following is an acceptable schedule for the performance of the songs, in order from the first to last song performed? (A) X, T, Y, O, P, Z (B) X, Z, Y, T, O, P (C) Y, O, P, X, T, Z (D) Y, P, O, Z, T, X (E) Y, X, O, P, Z, T (A) Violates Rule 1 (B) Violates Rule 2 (C) Violates Inf 3 (D) Violates Rule 2 (E) CORRECT ANSWER 20. Which one of the following must be true about the program? (A) George performs X. (B) Helen performs O. (C) Helen performs T. (D) Leslie performs P. (E) Leslie performs X. (A) Violates Inf 3 (B) Violates Rule 4 (C) CORRECT ANSWER (D) It is a can not a must (L: OP ok but so is L: OX) (E) It is a can not a must (L: OP ok but so is L: OX) 21. Which one of the following is a complete and accurate list of the songs any one of which could be the last song performed at the concert? (A) O, P, Z (B) O, T, X (C) T, P, Z (D) T, X, Z (E) X, P, Z (A) Violates Rule 2 (O and P can t occur after Z so they can t be the last song) (B) Violates Rule 2 (O can t occur after Z so they can t be the last song) (C) Violates Rule 2 (P can t occur after Z so they can t be the last song) (D) CORRECT ANSWER (E) Violates Rule 2 (P can t occur after Z so they can t be the last song) 22. If X is performed first, which one of the following must be true? (A) X is performed by George. (B) X is performed by Helen. (C) P is the fourth song performed. (D) Y is the second song performed. (E) Y is the third song performed. (D) CORRECT ANSWER. Because of Inf 1, there are 4 songs that have to come after Y (O, P, T, and Z). If X is first, then Y must be 2nd so the 4 other songs can happen after Y. 23. Each of the following is an acceptable schedule for the performance of the songs, in order from the first to last song performed, EXCEPT: (A) Y, O, P, T, Z, X (B) Y, T, O, P, X, Z (C) Y, X, O, P, Z, T (D) X, Y, O, P, Z, T (E) X, Y, O, T, P, Z (B) CORRECT ANSWER. Z can t be last if Y is first because Inf 3.

8 24. If Y is performed first, the songs performed second, third, and fourth, respectively, could be (A) T, X, and O (B) T, Z, and O (C) X, O, and P (D) X, P, and Z (E) X, T, and O Y??? (A) Violates Inf 3 Y T X O P Z (B) Violates Rule 2 Y T Z O (C) CORRECT ANSWER Y X O P Z T (D) Violates Rule 2 Y X P Z O or O (E) Violates Inf 3 Y X T O P Z QA4 Answers: Questions A 2. A 3. D 4. A 5. B Questions A 7. E 8. B 9. A 10. A 11. C 12. E Questions C 14. D 15. C 16. E 17. E 18. D Questions E 20. C 21. D 22. D 23. B 24. C

Estimation. Number Theory

Name: Date: Chapter Practice 1 Estimation and Number Theory Estimation Find each sum or difference. Then use rounding to check that your answers are reasonable. Round each number to the nearest hundred.

How to Calculate the Probabilities of Winning the Eight LUCKY MONEY Prize Levels:

How to Calculate the Probabilities of Winning the Eight LUCKY MONEY Prize Levels: LUCKY MONEY numbers are drawn from two sets of numbers. Four numbers are drawn from one set of 47 numbered white balls

How to Calculate the Probabilities of Winning the Nine PowerBall Prize Levels:

How to Calculate the Probabilities of Winning the Nine PowerBall Prize Levels: Powerball numbers are drawn from two sets of numbers. Five numbers are drawn from one set of 59 numbered white balls and one

How to Calculate the Probabilities of Winning the Nine Mega Millions Prize Levels:

How to Calculate the Probabilities of Winning the Nine Mega Millions Prize Levels: Mega Millions numbers are drawn from two sets of numbers. Five numbers are drawn from one set of 75 numbered white balls

Multiples and factors quiz

Level A 1. 18, 27 and 36 are all multiples of nine. 2. 500 is a multiple of 200. 3. Which list is made up of multiples of 12? A) 1, 12, 48 B) 12, 24, 36 C) 12, 22, 32 4. The digit sums (the one digit answer

How to Calculate the Probabilities of Winning the Nine PowerBall Prize Levels:

How to Calculate the Probabilities of Winning the Nine PowerBall Prize Levels: PowerBall numbers are drawn from two sets of numbers. Five numbers are drawn from one set of 69 numbered white balls and one

Math Card Games to Print and Play

Math Card Games to Print and Play For School or Home Education by Teresa Evans Copyright 200 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom

Lesson 1: Readiness for Fractions (5 Bars and Fraction Bingo) Your group may select elements from one or both lesson plans.

This packet is a double packet including both lessons: Lesson 1: Readiness for Fractions (5 Bars and Fraction Bingo) Lesson 2: Fractions and Fraction Names (8-Bars) Your group may select elements from

A permutation can also be represented by describing its cycles. What do you suppose is meant by this?

Shuffling, Cycles, and Matrices Warm up problem. Eight people stand in a line. From left to right their positions are numbered,,,... 8. The eight people then change places according to THE RULE which directs

EXHIBIT A SONYMA MORTGAGE LOAN NUMBERS BY BOND INDENTURE, BOND SERIES, AND APPLICABLE POOL INSURERS. Homeowners Mortgage Revenue Bonds (HMB) Indenture

EXHIBIT A SONYMA MORTGAGE LOAN NUMBERS BY BOND INDENTURE, BOND SERIES, AND APPLICABLE POOL INSURERS Homeowners Mortgage Revenue Bonds (HMB) Indenture Bond Pool Pool SONYMA Loan 007 Series AA (4) 007-000,001

COLOR THEORY WORKSHEET

COLOR THEORY WORKSHEET Use color pencils to complete the following exercises Name: Period Date PRIMARY COLORS cannot be made from any combination of colors. Fade intensity from top left to bottom right

CHAPTER 1. Arithmetic and Geometric Sequences

CHAPTER 1 Arithmetic and Geometric Sequences LEARNING OBJECTIVES By the end of this chapter, you should be able to explain the terms sequence, arithmetic and geometric sequence; identify arithmetic and

Lab 7. Addition and Subtraction of Fractional Numbers

Lab 7 Addition and Subtraction of Fractional Numbers Objectives: 1. The teacher will understand how to create single unit models (models for 1) that can be used to model more than one fraction at a time.

Schedule 9 - Distribution of prize money. 1. The percentage distribution of prize money shall be as follows. 2. Flat Pattern and Listed Races

Schedule 9 - Distribution of prize money 1. The percentage distribution of prize money shall be as follows 2. Flat Pattern and Listed Races The percentage distribution of prize money shall be as follows

KEEPING NOTES. Remember Sudoku is a game of logic and you shouldn t need to guess.

Number puzzles and games have been around for a very long time, perhaps ancient cave-dwellers even played puzzles with rocks and sticks! Sudoku (which means single number in Japanese) probably has it s

Cognitive Abilities Test Practice Activities. Teacher Guide. Form 7. Quantitative Tests. Level. Cog

Cognitive Abilities Test Practice Activities Teacher Guide Form 7 Quantitative Tests Level 9 Cog Test 4: Number Analogies, Level 9 Part 1: Overview of Number Analogies An analogy draws parallels between

ROUND TOSSUP: What is the cost of five cans of soup at 98 per can? 6. TOSSUP: What is the formula for the volume of a right circular cylinder?

ROUND 1 1. TOSSUP: The fraction 3 is equivalent to what percent? 4 BONUS: (a) How much money is 10,000% of one penny? (b) What is your weekly salary if you get a 5% increase, and your previous wages were

Permission is given for the making of copies for use in the home or classroom of the purchaser only.

Copyright 2005 Second Edition 2008 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. Part 1 Math Card Games to Play

Four practice LSAT Logic Games with full explanations and diagrams

Four practice LSAT Logic Games with full explanations and diagrams Instructions -- You can take all four practice games in a row, or do them individually. If you want to do the games under timed conditions,

Grades 7-8 Mathematics Training Test Answer Key

Grades -8 Mathematics Training Test Answer Key 04 . Factor 6x 9. A (3x 9) B 3(x 3) C 3(3x ) D 6(x 9) Option A is incorrect because the common factor of both terms is not and the expression is not factored

NS6-50 Dividing Whole Numbers by Unit Fractions Pages 16 17

NS6-0 Dividing Whole Numbers by Unit Fractions Pages 6 STANDARDS 6.NS.A. Goals Students will divide whole numbers by unit fractions. Vocabulary division fraction unit fraction whole number PRIOR KNOWLEDGE

Mirrix Tapestry & Bead Looms Presents. Woven Silk & Bead Cuff Bracelet

Mirrix Tapestry & Bead Looms Presents Woven Silk & Bead Cuff Bracelet 1 Set-Up and Warping What comes in this kit? -Four different colors of 11/0 seed beads -Hand-painted silk yarn -Leather cuff -Piece

Contents. Remember boxes and speech bubbles Important key points and tips. Special Features of Start Up Mathematics 3-5

Contents 1. Numbers Beyond 999 1 2. Roman Numerals 23 3. Addition 26 Assessment Sheet 1 37 4. Subtraction 38 5. Multiplication 50 6. Division 69 Assessment Sheet 2 84 Let s Review 1 85 7. Fractions 87

Make a Rainbow Magic mobile

FAIRY 1 Cut out the fairies and their magical shapes and let them fly! You only need one fairy to start your mobile. Then you can add more fairies as you collect them. 1. Cut out your fairy and her magical

Number Chat/Singapore Math

First Quarter Assurances model, read, and write the numbers 0 to 10. identify how objects are alike and different. use positional words such as over, under, above, and below. sort and compare objects by

Winter Main 2014 Spring Mid-Month 2015. Online Practice Test Directions

Georgia Milestones Winter Main 2014 Spring Mid-Month 2015 Online Practice Test Directions End-of-Course Online Practice Test Directions 2706773-W TEST SECURITY Below is a list, although not inclusive,

An Alternative Derivation of Lateral Area of a Cone

An Alternative Derivation of Lateral Area of a Cone Below is a rough sketch of a presentation of an alternative derivation of the lateral area of a cone. I worked this out after the lecture on Surface

CERTIFICATE OF INCORPORATION OF THE CHICAGO STOCK EXCHANGE, INC.

CERTIFICATE OF INCORPORATION OF THE CHICAGO STOCK EXCHANGE, INC. (Updated through January 1, 2010) Certificate of Incorporation of the Chicago Stock Exchange, Inc. Page 1 FIRST: The name of the corporation

Pigeonhole Principle Solutions

Pigeonhole Principle Solutions 1. Show that if we take n + 1 numbers from the set {1, 2,..., 2n}, then some pair of numbers will have no factors in common. Solution: Note that consecutive numbers (such

Number. ch?v=mquhqkknldk (maths is confusing funny)

Number http://www.youtube.com/watch?v =52CzD31SqaM&feature=related (maths is confusing II funny) http://www.youtube.com/wat ch?v=mquhqkknldk (maths is confusing funny) SLO To find multiples of a number

Chong-ryang Gung (正兩弓, Strong Bow): Ye Gung (禮弓, Ritual /Ceremonial Bow): Mok Gung (木弓, Wooden Bow) Chol Gung (鐵弓, Iron Bow)

o 1 o o o 2 3 o o o??? o o o o o o o ~ ~ o o oo o o oo ~ 4 o o o o o o o 5 o o o oo oo oo o o o o o o 6 o o o o o o o o o o o o o o o o 7 8 o o o o o o o o o o o 9 10 o o o o 11 o 12 o o o o o o 13 o o

Combinatorics (Part I)

Combinatorics (Part I) BEGINNERS 02/01/2015 Combinatorics is the study of the methods of counting. Part I: Multiplication Principle 1. If you have two pairs of shorts, one blue and one black, and three

Website List: Books (Including Zeller autobiography/publications) and Reports

Website List: Books (Including Zeller autobiography/publications) and Reports Dr. Zeller Autobiography PSH-157 Autobiography Dr. George A. Zeller M.D.- his autobiography Befriending the Bereft, labeled

Beaded FanTasies. 30 Romantic Jewelry Projects. SaBine Lippert S

SaBine Lippert S Beaded FanTasies 30 Romantic Jewelry Projects This book is amazing! It s one you ll keep out on your desk at all times. Suzanne Golden LARK Jewelry & Beading beadweaving master class S

Free Animal Alphabet Match. Halloween Version & Anytime version. October and November Calendar pieces

Free Animal Alphabet Match Halloween Version & Anytime version October and November Calendar pieces Aa alligator Recognize and name all upper- and lowercase letters of the alphabet. Table of Contents ALL

Power Chord Chart. Some Background. Page 1. This is the base Standard tuning chart for each string:

Page 1 Power Chord Chart This is the base Standard tuning chart for each string: Next, we'll walk through the neck positions for the power chords you'll find in your rock songs. This is by no means an

If you are going to do this or use tape, these are the positions to place the markers on a FULL SIZE VIOLIN:

Fiddle Tablature Traditionally, the Fiddle does not use tablature like the Guitar, Banjo, Mandolin and Dobro. However, there is a way to incorporate tablature in Fiddle music. Fiddle Tablature ('Tab',

The Beginning Balance for Meal Plan #1 is: \$210.00 (Your daily average should be \$2.96)

Resident Meal Plan Goal for the week ending: April 4, 2015 Week one of 11 Weeks, March 29-April 4 The Beginning Balance for is: \$225.00 The Beginning Balance for is: \$350.00 The Beginning Balance for Meal

How to Improvise Jazz Melodies Bob Keller Harvey Mudd College January 2007 Revised 4 September 2012

How to Improvise Jazz Melodies Bob Keller Harvey Mudd College January 2007 Revised 4 September 2012 There are different forms of jazz improvisation. For example, in free improvisation, the player is under

St. Gabriel Consolidated School School Supply List Kindergarten 2 Two pocket folders 1 24 ct. Crayola crayons 3 Small Elmer s glue sticks 1

Kindergarten 2 Two pocket folders 3 Small Elmer s glue sticks 1 10 ct. pkg. washable Crayola thick classic markers 1 8 color Crayola washable watercolor paint set 6 #2 wooden pencils pre-sharpened (Dixon

Since the ratios are constant, the sequence is geometric. The common ratio is.

Determine whether each sequence is arithmetic, geometric, or neither. Explain. 1. 200, 40, 8, Since the ratios are constant, the sequence is geometric. The common ratio is. 2. 2, 4, 16, The ratios are

The Function Game: Can You Guess the Secret?

The Function Game: Can You Guess the Secret? Copy the input and output numbers for each secret given by your teacher. Write your guess for what is happening to the input number to create the output number

Fraction Tools. Martin Kindt & Truus Dekker. ------------ 3n 4 -----

Fraction Tools - + - 0 - n + n Martin Kindt & Truus Dekker 0 Section A Comparing Fractions - Parts and pieces (). Of each figure, color part. Be as precise as possible.. Of each figure, color part. Each

Tuxedo Bracelet Design and Instructions by: Kariti L. Barre Super Duo

Tuxedo Bracelet Super Duo 3mm Rounds or Bicones 11/0 Seed Beads 15/0 Seed Beads 6mm Round Gemstone Begin by threading your needle with about 3-4 feet of fireline. We will be constructing the bow first

Bethany Beads: Ugandan Jewelry & Crafts

Bethany Beads: Ugandan Jewelry & Crafts School Spirit Necklaces Ashland Christian School/Veritas Classical Christian Academy Ashland High School 10 in Stock Color Pattern: 2 Blue, 1 Yellow Item #:SSACS100

BREATHITT COUNTY SCHOOLS KINDERGARTEN MATH CURRICULUM

Weeks 1-2 Instructional Emphasis: Counting and Cardinality Topic 1: One to Five K.CC.3: Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count

DETERMINING WHICH COLOR UV BEAD CHANGES COLORS THE FASTEST

DETERMINING WHICH COLOR UV BEAD CHANGES COLORS THE FASTEST Helen C Cary Academy ABSTRACT The purpose of this experiment was to determine which color UV bead changes colors the fastest. The bead colors

Math in Focus Vocabulary. First Grade

Math in Focus Vocabulary First Grade Chapter Word Definition 1 zero 0 1 one 1 1 two 2 1 three 3 1 four 4 1 five 5 1 six 6 1 seven 7 1 eight 8 1 nine 9 1 ten 10 1 same equal to 1 more 4 eggs is more than

Solving the Rubik's Revenge (4x4x4) Home Pre-Solution Stuff Step 1 Step 2 Step 3 Solution Moves Lists

Solving your Rubik's Revenge (4x4x4) 07/16/2007 12:59 AM Solving the Rubik's Revenge (4x4x4) Home Pre-Solution Stuff Step 1 Step 2 Step 3 Solution Moves Lists Turn this... Into THIS! To solve the Rubik's

FIVB WORLD LEAGUE PREVIEWS WEEK 1 JUNE 17-19, 2016

Pool A1: Australia Belgium (17 June) Belgium have won all of their four World League matches against Australia, all in group 2 in the 2014 edition. The Belgian team won twice by 3-1 and twice in straight

Douglas County School District Accountability Analysis

Douglas County School District Accountability Analysis The Douglas School District Accountability Report for School year 1999-2000 was in compliance with both the spirit and letter of the law. It should

Guitar Chord Chart for Standard Tuning

Page 1 Guitar Chord Chart for Standard Tuning This is the base Standard tuning chart for each string: Next, we'll walk through the neck positions for the chords you'll find in your rock songs. Each has

Celebrating Chanukah-NEW 12/12/07 1:37 PM Page 1 Eight Nights SAMPLE

Eight Nights On the first night of Chanukah, our family uses the shamash candle from the middle of the menorah to light one candle. 2 Our uncle tells us the Chanukah story. 3 4 On the second night of Chanukah,

Arithmetic Sequence. Formula for the nth Term of an Arithmetic Sequence

638 (1-1) Chapter 1 Sequences and Series In this section 1.3 ARITHMETIC SEQUENCES AND SERIES We defined sequences and series in Sections 1.1 and 1.. In this section you will study a special type of sequence

KEYS TO THE BLUES BLUES CHART AND CHEAT SHEET FOR HARP N GUITAR. By George Goodman

KEYS TO THE BLUES BLUES CHART AND CHEAT SHEET FOR HARP N GUITAR By George Goodman Copyright 2016 George Goodman HarpNGuitar.com Edition, License Notes Text and images copyright 2016 George Goodman All

34 Probability and Counting Techniques

34 Probability and Counting Techniques If you recall that the classical probability of an event E S is given by P (E) = n(e) n(s) where n(e) and n(s) denote the number of elements of E and S respectively.

ملخص الدراسة باللغة اإلنجليزية

First: The Problem of the Study: Social service career as one of the professions in the community will continue to concern issues You have encountered in the eighties and nineties as the general practice

APPENDIX A - Unitaxon Classification File Formats. Classification.txn file

APPENDIX A - Unitaxon Classification File Formats This appendix documents the file format for a Unitaxon classification file and its addenda note file. This file format has a version number of 0. Classification

0018 DATA ANALYSIS, PROBABILITY and STATISTICS

008 DATA ANALYSIS, PROBABILITY and STATISTICS A permutation tells us the number of ways we can combine a set where {a, b, c} is different from {c, b, a} and without repetition. r is the size of of the

Kelly (43) Pub. Date: Jul. 25, 2002

US 20020095952A1 (19) United States (12) Patent Application Publication (10) Pub. N0.: US 2002/0095952 A1 Kelly (43) Pub. Date: Jul. 25, 2002 (54) SPORTS PROJECTILE SHAPED BEAD NECKLACE AND METHOD OF MANUFACTURE

CHAPTER I INTRODUCTION AND DESIGN OF THE STUDY

CHAPTER I INTRODUCTION AND DESIGN OF THE STUDY INTRODUCTION Working capital is the cash available for day to day functions of a business. It is the cash that can be used to foot expected and unplanned

DATA QUALITY ASSESSMENT TOOL INSTRUCTIONS FOR DATA PREPARATION

DATA QUALITY ASSESSMENT TOOL INSTRUCTIONS FOR DATA PREPARATION 1 The data quality assessment (DQA) tool provides a stepwise method to assess the quality of health facility data for some key coverage indicators.

4/1/2017. PS. Sequences and Series FROM 9.2 AND 9.3 IN THE BOOK AS WELL AS FROM OTHER SOURCES. TODAY IS NATIONAL MANATEE APPRECIATION DAY

PS. Sequences and Series FROM 9.2 AND 9.3 IN THE BOOK AS WELL AS FROM OTHER SOURCES. TODAY IS NATIONAL MANATEE APPRECIATION DAY 1 Oh the things you should learn How to recognize and write arithmetic sequences

MEP Pupil Text 12. A list of numbers which form a pattern is called a sequence. In this section, straightforward sequences are continued.

MEP Pupil Text Number Patterns. Simple Number Patterns A list of numbers which form a pattern is called a sequence. In this section, straightforward sequences are continued. Worked Example Write down the

PRESENTS Counting Creatures. Subtraction Worksheets. by Heidi Butkus. Illustrations by Korey Scott Heidi Butkus

PRESENTS Counting Creatures Subtraction Worksheets by Heidi Butkus Illustrations by Korey Scott 1 Description and Instruction for Using Counting Creatures Subtraction Worksheets These worksheets are intented

USING PLAYING CARDS IN THE CLASSROOM. What s the Pattern Goal: To create and describe a pattern. Closest to 24!

USING PLAYING CARDS IN THE CLASSROOM You can purchase a deck of oversized playing cards at: www.oame.on.ca PRODUCT DESCRIPTION: Cards are 4 ½ by 7. Casino quality paperboard stock, plastic coated. The

Key. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voice-over

Key On screen content Narration voice-over Activity Under the Activities heading of the online program Introduction This topic will cover how to: identify and distinguish between proper fractions, improper

Algebra/Geometry Institute Summer Combinations and Permutations. 1 Teaching objective(s)

Algebra/Geometry Institute Summer 2005 Combinations and Permutations Faculty Name: Susie Shorter School: Solomon Middle School Greenville, MS 38701 Grade Level: 7 1 Teaching objective(s) Mississippi Benchmark

SIF Validation Tool. Wages Protection System Qatar Central Bank& Ministry of Labour And Social Affairs. End User Guide

SIF Validation Tool Wages Protection System Qatar Central Bank& Ministry of Labour And Social Affairs End User Guide [1] SIF Validation Tool at a Glance Content 1 SIF VALIDATION TOOL AT A GLANCE 3 2 GETTING

Cross Figure #1. Y. Dvir

Cross Figure #1 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 27 28 29 30 31 32 1. Consecutive digits in order 4. 2 down squared 7. 27 minus one 8. See 30 down 10. Its digits total

Planning Guide. Grade 6 Factors and Multiples. Number Specific Outcome 3

Mathematics Planning Guide Grade 6 Factors and Multiples Number Specific Outcome 3 This Planning Guide can be accessed online at: http://www.learnalberta.ca/content/mepg6/html/pg6_factorsmultiples/index.html

Sect Properties of Real Numbers and Simplifying Expressions

Sect 1.6 - Properties of Real Numbers and Simplifying Expressions Concept #1 Commutative Properties of Real Numbers Ex. 1a.34 + 2.5 Ex. 1b 2.5 + (.34) Ex. 1c 6.3(4.2) Ex. 1d 4.2( 6.3) a).34 + 2.5 = 6.84

Sample Questions with Explanations for LSAT India

Five Sample Analytical Reasoning Questions and Explanations Directions: Each group of questions in this section is based on a set of conditions. In answering some of the questions, it may be useful to

San Jose Math Circle October 17, 2009 ARITHMETIC AND GEOMETRIC PROGRESSIONS

San Jose Math Circle October 17, 2009 ARITHMETIC AND GEOMETRIC PROGRESSIONS DEFINITION. An arithmetic progression is a (finite or infinite) sequence of numbers with the property that the difference between

Knitted Beaded Amulet Bag

, 2006 Materials Needed: DMC Perlé Coton, Size 8 (1 ball) Size 11 seed beads, preferably on a hank (approx 1,900 or 6 strands of a 12-strand hank) Size 000 or 0000 steel knitting needles or 24 circular

Sample Letters. Sample Letters Promotion & Placement

Sample Letters Sample Letters Promotion & Placement Sample Letter A Sample Letter to Parent or Guardian of Student Who Did Not Achieve Grade Level on the Criterion-Referenced Competency Test (CTCT) A few

Figure 3: Segmented images for simulated high grade brain tumor image of volume no. 3: input image, ground truth (top row); proposed, and BraTumIA (bo

Figure 1: Segmented images for simulated high grade brain tumor image of volume no. 1: input image, ground truth (top row); proposed, and BraTumIA (bottom row) Figure 2: Segmented images for simulated

OPENING LEADS. Audrey Grant. How to Take More Tricks on Defense THE IMPACT OF AGAINST NOTRUMP CONTRACTS

BIL Presentation - February 20, 2013 THE AUDREY GRANT BETTER BRIDGE SERIES THE IMPACT OF OPENING LEADS AGAINST NOTRUMP CONTRACTS How to Take More Tricks on Defense Audrey Grant The Impact of Opening Leads

SUDOKU SOLVING TIPS GETTING STARTED

TTN STRT SUOKU SOLVN TPS Terms you will need to know lock: One of the nine x sections that make up the Sudoku grid. andidate(s): The possible numbers that could be in a cell. ell: single square in a Sudoku

St. Francis Xavier School Supply List Preschool A

2015 2016 St. Francis Xavier Preschool Preschool A Preschool B & C Item Item 1 Box of Elmers Glue Sticks (12 ct.) 1 Box of Elmers Glue Sticks (12 ct.) 1 Crayola Markers (8 count) 1 Crayola Markers (8 count)

Rulla Waves Bracelet

www.beadflowers.co.uk Designed by Katie Dean 2015. All rights reserved. For distribution and teaching by customers of the Beadsmith. Rulla Waves Bracelet This project uses basic circular brick stitch,

Texas Hold em. From highest to lowest, the possible five card hands in poker are ranked as follows:

Texas Hold em Poker is one of the most popular card games, especially among betting games. While poker is played in a multitude of variations, Texas Hold em is the version played most often at casinos

Notes on the SHARP EL-738 calculator

Chapter 1 Notes on the SHARP EL-738 calculator General The SHARP EL-738 calculator is recommended for this module. The advantage of this calculator is that it can do basic calculations, financial calculations

This chapter introduces the sudoku-solving ground rules,

hapter Simplifying Sudoku This chapter introduces the sudoku-solving ground rules, giving you all the tools you need to approach each puzzle with the best strategy. It also shows you how to take your sudoku-solving

FLORIDA DEPARTMENT OF STATE DIVISION OF CORPORATIONS

FLORIDA DEPARTMENT OF STATE DIVISION OF CORPORATIONS Attached is a form to file a Certificate of Merger pursuant to section 608.4382, Florida Statutes. This form is basic and may not meet all merger needs.

Chapter 5.1 Systems of linear inequalities in two variables.

Chapter 5. Systems of linear inequalities in two variables. In this section, we will learn how to graph linear inequalities in two variables and then apply this procedure to practical application problems.

CU Chemical Inventory Management System

CU @ BOULDER ENVIRONMENTAL HEALTH & SAFETY CU Chemical Inventory Management System Special points of interest: Logging onto the system Searching for a Chemical Adding/ Editing a chemical entry Printing

Jazz Guitar Chord Construction Thelonious Monk Institute of Jazz Online Jazz Handbook

Jazz Guitar Chord Construction Thelonious Monk Institute of Jazz Online Jazz Handbook welcome to the guitar chapter of the Thelonious Monk Institute of Jazz s Online Jazz Handbook! A guitarist in a jazz

THE COLLEGES OF OXFORD UNIVERSITY MATHEMATICS, JOINT SCHOOLS AND COMPUTER SCIENCE. Sample Solutions for Specimen Test 2

THE COLLEGES OF OXFORD UNIVERSITY MATHEMATICS, JOINT SCHOOLS AND COMPUTER SCIENCE Sample Solutions for Specimen Test. A. The vector from P (, ) to Q (8, ) is PQ =(6, 6). If the point R lies on PQ such

Configuring TCP/IP Networking for Windows Me:

Configuring TCP/IP Networking for Windows Me: Configuration setup - Point and then right-click on the My Network Places icon on the desktop (see image below). Click/Select properties from the quick menu

THE MOTOR VEHICLES (ALL INDIA PERMIT FOR TOURIST TRANSPORT OPERATORS) RULES, 19931

THE MOTOR VEHICLES (ALL INDIA PERMIT FOR TOURIST TRANSPORT OPERATORS) RULES, 19931 1. Short title, extent, commencement and exemption. (1) These rules may be called the Motor Vehicles (All India Permit

Pantone Matching System Color Chart PMS Colors Used For Printing

Pantone Matching System Color Chart PMS Colors Used For Printing Use this guide to assist your color selection and specification process. This chart is a reference guide only. Pantone colors on computer

EDV MC LED Display Board Communication protocol

EDV111-780-MC LED Display Board Communication protocol Version no. 2.2 Date Aug. 13, 2005 1 TABLE OF CONTENTS 1 Scope.. 3 2. Applicable System.. 3 3. Interfacing Method.. 3 4. Data Structure.. 3 4.1 ID

Basics of Digital Systems. Boolean algebra Truth tables Karnaugh maps

Basics of Digital Systems Boolean algebra Truth tables Karnaugh maps Boolean Algebra In digital systems we deal with the binary number system. This means that the value of an element can be either 0 or

Yes 1 1 M (N)ot provided. 3 First Name Text N/A Yes 1 30 Frank 4 Middle Name Text N/A No 1 30 Alan 5 Last Name Text N/A Yes 1 40 Smith

PAW V2.1.0 Client Import Specification Description: The Client Import Specification is a guide for importing Intake data into PAW from external data sources. For each element, it lists the expected data

Math Curriculum Map / Kindergarten Curwensville Area School District

Lesson 1.1 Lesson 1.2 Lesson 1.3 Lesson 1.4 Differentiation (if used) Objectives Skills Assessment Stards Key Terms Below Level Above Level count Model count 1 & 2 with model count pgs. 13-16 match, set