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


 Felicia Kennedy
 3 years ago
 Views:
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)
4 11. If both M and R are reduced, which one of the following is a pair of areas neither of which could be reduced? (A) G, L (B) G, N (C) L, N (D) L, P (E) P, S Reduce Not reduce MR Rule 4: MR L Rule 2: MR LN (A) G, L Check if G can be reduced: MRGSW LNP (no violation) (B) G, N Check if G can be reduced: MRGSW LNP (no violation) (C) CORRECT ANSWER (see rules 4 and 2 above, neither L nor N can be reduced!) (D) L, P Check if P can be reduced: MRPSW LNG (no violation) (E) P, S Check if P can be reduced: MRPSW LNG (no violation) 12. Which one of the following areas must be reduced? (A) G (B) L (C) N (D) P (E) W Reduce Not reduce Option 1: LM RP Option 2: LR MNP Option 3: RM LN (A) G Now try to reduce G: LMNSW RPG (violates Rule 2) (B) L See Option 3 (C) N See Option 3 (D) P See Option 2 (E) W LR MNP (no room for G) RMPSW LNG (no violation) CORRECT ANSWER Can t reduce W in any of these cases: LMNSG RPW (violates Rule 2) LR MNP (no room for W) RMPSG LNW (violates Rule 1) Questions A jeweler makes a single strand of beads by threading onto a string in a single direction from a clasp a series of solid colored beads. Each bead is either green, orange, purple, red, or yellow. The resulting strand satisfies the following specifications: If a purple bead is adjacent to a yellow bead, any bead that immediately follows and any bead that immediately precedes that pair must be red. Any pair of beads adjacent to each other that are the same color as each other must be green. No orange bead can be adjacent to any red bead. Any portion of the strand containing eight consecutive beads must include at least one bead of each color. Abstract Rules: Rule 1. PY RPYR or YP RYPR Rule 2. Pairs GG (OO) (RR) (YY) (PP) Rule 3. (RO) or (OR) Rule [GORPY somewhere] Potential inferences: Inf 1: (O)RPYR(O) Inf 2: (R)RPYR(R)
5 13. If the strand has exactly eight beads, which one of the following is an acceptable order, starting from the clasp for the eight beads? (A) green, red, purple, yellow, red, orange, green, purple (B) orange, yellow, red, red, yellow, purple, red, green (C) purple, yellow, red, green, green, orange, yellow, orange (D) red, orange, red, yellow, purple, green, yellow, green (E) red, yellow, purple, red, green, red, green, green New Inf 1: [GORPY somewhere] (A) No. Can t have RO (Rule 3) (B) No. Can t have RR (Rule 2) (C) CORRECT ANSWER (D) No. Needs the R following RYP (Rule 1) (E) No. Needs O (Rule 4) 14. If an orange bead is the fourth bead from the clasp, which one of the following is a pair that could be the second and third beads, respectively? (A) green, orange (B) green, red (C) purple, purple (D) yellow, green (E) yellow, purple ?? O New Inf 1: (R) O (Rule 3) New Inf 2: (O) O (Rule 2) New Inf 3: (Y or P) (Y or P) O (Rule 1) (A) No. Can t be OO. See New Inf 2. (B) No. Can t be RO. See New Inf 1. (C) No. Can t be PP. See Rule 2. (D) CORRECT ANSWER (E) No. Can t be YPO. See New Inf If on an eightbead strand the second, third, and fourth beads from the clasp are red, green, and yellow, respectively, and the sixth and seventh beads are purple and red, respectively, then which one of the following must be true? (A) The first bead is purple. (B) The fifth bead is green. (C) The fifth bead is orange. (D) The eighth bead is orange. (E) The eighth bead is yellow. New Inf 1: Need O somewhere (Rule 4) New Inf 2: R G Y P R New Inf 3: (Rule 2) (Y) New Inf 4: (Rule 2) (P) New Inf 5: (Rule 2) (R) (R) New Inf 5: (Rules 3 and 4) (O) O (O) (C) CORRECT ANSWER. See New Inf 5. O has to be somewhere (Rule 4) but it can t be 1st or last because of (OR) rule (Rule 3). 16. If on a sixbead strand the first and second beads from the clasp are purple and yellow, respectively, then the fifth and sixth beads CANNOT be (A) green and orange, respectively (B) orange and green, respectively (C) orange and yellow, respectively (D) purple and orange, respectively (E) yellow and purple, respectively New Inf 1: P Y (?) (?) New Inf 2: (Rule 1) R New Inf 3: (Rule 2) (R) New Inf 4: (New Inf 3 & Rule 1) P Y New Inf 5: (New Inf 3 & Rule 1) Y P
6 (E) CORRECT ANSWER. Can t be YP because you would need R in front of YP and can t have RYP if you already have PYRRYP because you would have RR. 17. If on a ninebead strand the first and fourth beads from the clasp are purple, and the second and fifth beads are yellow, which one of the following could be true? (A) The seventh bead is orange. (B) The eighth bead is green. (C) The eighth bead is red. (D) The ninth bead is red. (E) The ninth bead is yellow. New Inf 1: Need ROG somewhere in 1st 8 (Rule 4) P Y P Y New Inf 2: (Rule 1) R R New Inf 3: (Rule 3) O New Inf 4: G G or G P Y R P Y R G O Y (A) No. O can t be 7th because can t have RO. Rule 3. (B) No. O has to be 8th because you can t RO (Rule 3) and need O in 1st 8. (C) No. R can t be 8th because O has to be 8th because you can t RO (Rule 3) and need O in 1st 8. (D) No. R can t be 9th because since O is 8th you can t have OR (Rule 3) and need O in 1st 8. (E) CORRECT ANSWER 18. If on an eightbead strand the first, second, third, and fourth beads from the clasp are red, yellow, green, and red, respectively, then the fifth and sixth beads CANNOT be (A) green and orange, respectively (B) green and purple, respectively (C) purple and orange, respectively (D) purple and yellow, respectively (E) yellow and orange, respectively New Inf 1: Need O somewhere (Rule 4) New Inf 2: R Y G R (?) (?) (D) CORRECT ANSWER. Can t be PY because 7th would need to be R (Rule 1) leaving only 1 space. But because of Rule 4 you still need O but you can t have RO (Rule 3) so will not work. Questions At an evening concert, a total of six songs O, P, T, X, Y, and Z will be performed by three vocalists George, Helen, and Leslie. The songs will be sung consecutively as solos, and each will be performed exactly once. The following constraints govern the composition of the concert program: Y must be performed earlier than T and earlier than O. P must be performed earlier than Z and later than O. George can perform only X, Y, and Z. Helen can perform only T, P, and X. Leslie can perform only O, P, and X. The vocalist who performs first must be different from the vocalist who performs last. Rule 1. Y {} T and Y {} O Rule 2. O {} P {} Z Rule 3. G: X, Y, Z Rule 4. H: T, P, X Rule 5. L: O, P, X Rule 6. 1st not = 6th [ T ] Inf 1. Y {} O {} P {} Z Inf 2. G: YZ H: T and (P or X) L: O and (P or X) Because if G: X then H: TP and L: O and nothing left Inf 3. Since G: YZ these can t be 1st and 6th
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.
More informationHow 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
More informationHow 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
More informationHow 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
More informationMultiples 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
More informationHow 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
More informationMath 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
More informationLesson 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 (8Bars) Your group may select elements from
More informationA 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
More informationEXHIBIT 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) 007000,001
More informationCOLOR 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
More informationCHAPTER 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
More informationLab 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.
More informationSchedule 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
More informationKEEPING 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 cavedwellers even played puzzles with rocks and sticks! Sudoku (which means single number in Japanese) probably has it s
More informationCognitive 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
More informationROUND 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
More informationPermission 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
More informationFour 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,
More informationGrades 78 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
More informationNS650 Dividing Whole Numbers by Unit Fractions Pages 16 17
NS60 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
More informationMirrix Tapestry & Bead Looms Presents. Woven Silk & Bead Cuff Bracelet
Mirrix Tapestry & Bead Looms Presents Woven Silk & Bead Cuff Bracelet 1 SetUp and Warping What comes in this kit? Four different colors of 11/0 seed beads Handpainted silk yarn Leather cuff Piece
More informationContents. Remember boxes and speech bubbles Important key points and tips. Special Features of Start Up Mathematics 35
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
More informationMake 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
More informationNumber 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
More informationWinter Main 2014 Spring MidMonth 2015. Online Practice Test Directions
Georgia Milestones Winter Main 2014 Spring MidMonth 2015 Online Practice Test Directions EndofCourse Online Practice Test Directions 2706773W TEST SECURITY Below is a list, although not inclusive,
More informationAn 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
More informationCERTIFICATE 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
More informationPigeonhole 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
More informationNumber. 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
More informationChongryang 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
More informationCombinatorics (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
More informationWebsite List: Books (Including Zeller autobiography/publications) and Reports
Website List: Books (Including Zeller autobiography/publications) and Reports Dr. Zeller Autobiography PSH157 Autobiography Dr. George A. Zeller M.D. his autobiography Befriending the Bereft, labeled
More informationBeaded 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
More informationFree 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
More informationPower 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
More informationIf 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',
More informationThe 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 29April 4 The Beginning Balance for is: $225.00 The Beginning Balance for is: $350.00 The Beginning Balance for Meal
More informationHow 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
More informationSt. 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 presharpened (Dixon
More informationSince 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
More informationThe 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
More informationFraction 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
More informationTuxedo 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 34 feet of fireline. We will be constructing the bow first
More informationBethany 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
More informationBREATHITT COUNTY SCHOOLS KINDERGARTEN MATH CURRICULUM
Weeks 12 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 020 (with 0 representing a count
More informationDETERMINING 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
More informationMath 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
More informationSolving the Rubik's Revenge (4x4x4) Home PreSolution 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 PreSolution Stuff Step 1 Step 2 Step 3 Solution Moves Lists Turn this... Into THIS! To solve the Rubik's
More informationFIVB WORLD LEAGUE PREVIEWS WEEK 1 JUNE 1719, 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 31 and twice in straight
More informationDouglas County School District Accountability Analysis
Douglas County School District Accountability Analysis The Douglas School District Accountability Report for School year 19992000 was in compliance with both the spirit and letter of the law. It should
More informationGuitar 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
More informationCelebrating ChanukahNEW 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,
More informationArithmetic Sequence. Formula for the nth Term of an Arithmetic Sequence
638 (11) 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
More informationKEYS 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
More information34 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.
More informationملخص 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
More informationAPPENDIX 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
More information0018 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
More informationKelly (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
More informationCHAPTER 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
More informationDATA 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.
More information4/1/2017. 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
More informationMEP 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
More informationPRESENTS 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
More informationUSING 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
More informationKey. Introduction. What is a Fraction. Better Math Numeracy Basics Fractions. On screen content. Narration voiceover
Key On screen content Narration voiceover Activity Under the Activities heading of the online program Introduction This topic will cover how to: identify and distinguish between proper fractions, improper
More informationAlgebra/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
More informationSIF 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
More informationCross 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
More informationPlanning 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
More informationSect 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
More informationSample 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
More informationSan 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
More informationKnitted 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 12strand hank) Size 000 or 0000 steel knitting needles or 24 circular
More informationSample 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 CriterionReferenced Competency Test (CTCT) A few
More informationFigure 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
More informationOPENING 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
More informationSUDOKU 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
More informationSt. 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)
More informationRulla 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,
More informationTexas 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
More informationNotes on the SHARP EL738 calculator
Chapter 1 Notes on the SHARP EL738 calculator General The SHARP EL738 calculator is recommended for this module. The advantage of this calculator is that it can do basic calculations, financial calculations
More informationThis chapter introduces the sudokusolving ground rules,
hapter Simplifying Sudoku This chapter introduces the sudokusolving 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 sudokusolving
More informationFLORIDA 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.
More informationChapter 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.
More informationCU 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
More informationJazz 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
More informationTHE 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
More informationConfiguring TCP/IP Networking for Windows Me:
Configuring TCP/IP Networking for Windows Me: Configuration setup  Point and then rightclick on the My Network Places icon on the desktop (see image below). Click/Select properties from the quick menu
More informationTHE 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
More informationPantone 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
More informationEDV MC LED Display Board Communication protocol
EDV111780MC 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
More informationBasics 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
More informationYes 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
More informationMath 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. 1316 match, set
More informationDIOCESE OF BATON ROUGE MATH CURRICULUM GUIDE KINDERGARTENGRADE 8. Adapted from the Common Core State Standards.
DIOCESE OF BATON ROUGE MATH CURRICULUM GUIDE KINDERGARTENGRADE 8 Adapted from the Common Core State Standards. Please note: The implementation of this curriculum guide in the Diocese of Baton Rouge will
More informationPrime Numbers and Divisibility
2.1 Prime Numbers and Divisibility 2.1 OBJECTIVES 1. Find the factors of a number 2. Determine whether a number is prime, composite, or neither 3. Determine whether a number is divisible by 2, 3, or 5
More information