8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers

Size: px
Start display at page:

Download "8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers"

Transcription

1 Pellissippi State Middle School Mathematics Competition 8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Directions: For each multiple-choice problem there are 5 possible answers listed. You are to work the problems, determine the correct answer, and indicate your choice on the separate answer sheet provided. Please use only CAPITAL letters on the answer sheet (A, B, C, D, E) and print neatly. This will enable us to correctly grade your paper. If there is any question as to what letter an answer is, it will be marked wrong. If you change your mind about your answer, be sure to erase completely. Avoid wild guessing, as wrong answers count against you. Do not make more than one answer for any problem. Make no stray marks of any kind on your answer sheet. Additional room for you to work out problems is on the back of each test page. You may take the test packet with you after you complete it. Only the answer sheet must be turned in. We will discard any test packets left in testing room so please take your packet with you if you want it. When told to do so, open your test packet and begin. There are 50 questions in all. All questions are multiple choice. The working time for the entire test is 65 minutes, so you should work quickly to finish all problems. 1

2 1. A basketball team has won seven of its first fifteen games. How many wins in their next ten games will raise their winning percentage for the season to 60%? A. 2 B. 6 C. 7 D. 8 E A B The length of line segment AB is approximately A. 6 mm B. 25 mm C. 3 cm D. 8 cm E. 0.5 m 3. The peel of a banana weighs 1/8 of the total weight of the banana. If you buy 3.5 kg of bananas at one kg for $1.10, how much are you paying for the peels? (Round to the nearest cent.) A. $0.14 B. $0.35 C. $0.41 D. $0.48 E. $ If inches on a map represents 300 miles, what distance does inches represent? A. 650 miles B. 660 miles C. 670 miles D. 680 miles E. 690 miles 5. A $20 dollar bill is 15 cm long. If five million dollars worth of $20 bills were laid end-to-end, their length would be A km B km C. 75 km D. 750 km E. None of these 6. Convert o to degrees, minutes, and seconds. The number of seconds is A. 14 B. 24 C. 28 D. 42 E A painter has finished painting 2/3 of a room by 2:00 PM and 3/4 of the same room by 2:30 PM. At this rate, when does he finish painting the room? A. 3:00 PM B. 4:00 PM C. 4:30 PM D. 5:00 PM E. 5:30 PM 8. If x + y = -23 and x - y = 7 then 2x - y equals A. -31 B. -1 C. 1 D. 8 E. 15 2

3 9. If it takes Jeremy 18 hours to dig a 2 meter by 2 meter by 2 meter hole, how many hours would it take three men (each working at the same rate as Jeremy) to dig a 4 meter by 4 meter by 4 meter hole? A. 12 B. 18 C. 24 D. 36 E A package of 20 plastic forks costs $0.39. A package of 24 plastic knives costs $0.45. If you wish to purchase the same number of forks and knives, what is the least amount that you could spend? A. $3.36 B. $4.20 C. $4.59 D. $5.34 E. $ Line segments AB and DE, intersect at point C (which is not one of the endpoints). m ACE = y - 15 ; m ECB = 3x ; m DCB = x - 2y x + y equals A. 81 o B. 84 o C. 86 o D. 90 o E. 94 o 12. ((x - y) - z ) - ( y - ( z - x )) equals A. 2x - 2y B. 2x - 2z C. -2y D. -2z E For HOW MANY of these five values for x is x 3 < x? -5-1/2 1/ A. One B. Two C. Three D. Four E. Five 14. AB is the diameter of a circle of radius r with center C. Triangle DAB is an isosceles triangle with DA = DB. The area of the circle equals the area of the triangle DAB. DC equals r A. B. 2 r C. r D. r 2 r 2 E is the sum of 40 consecutive odd integers. The smallest of these is A. 9 B. 11 C. 27 D. 29 E. 3 3

4 16. The three circles are tangent to the rectangle and to each other. The length of the rectangle is 24 cm. The area, in square centimeters, of the shaded region is (Round to the nearest tenth.) 24 cm A B C D E. Cannot be determined 17. A rectangle is twice as long as it is wide. If the length of the diagonal of the rectangle is 30 cm, the perimeter of the rectangle is A cm B cm C cm D cm E. 180 cm 18. Calculate the area of the triangle, in square units, bounded by the three lines: x = 6 y = x + 9 x + 2y = -6 A B C. 128 D. 147 E. 162 Problems #19 and #20 each use the following information. The new American Mathematics Competition consists of 25 questions. The scoring rules are: Each correct answer: +6 Each wrong answer: 0 Each answer left blank: The score of a student who answers 16 questions with 12 correct and 4 wrong answers is A. 74 B. 80 C. 84 D. 90 E A student has N correct answers and receives a score of 102. The number of possible values of N is A. One B. Three C. Four D. Five E. More than five 4

5 = 2 P 5 Q P equals A B C D E In triangle ABC, angle A is 24 o larger than angle B and Angle C is twice Angle A. The measure of angle C minus the measure of angle B equals A. 39 o B. 48 o C. 54 O D. 60 O E. 75 o 23. A jogger left home at 3:30 PM, running at an 8 miles per hour pace. Then she turned around and returned home by the same route, at a 7 mile per hour pace. If she arrived home at 4:15 PM, what was the total distance, in miles, that she ran? A. 5.5 B. 5.6 C D E. Cannot be determined 24. If 3x + 7 = x 2 + k = 7x + 15, then k equals A. -3 B. 0 C. 1 D. 4 E. Cannot be determined 25. RS = ST = TZ and segment SP is parallel to segment RZ. Angle SPZ is a right angle. If m RST = 48 o, then m PSZ equals A. 33 o B. 42 o C. 45 o S P D. 48 o E. 57 o R T Z 26. Example: The "sum of digits" of 1656 is = 18. HOW MANY whole numbers from 1 to 2000 have their "sum of digits" equal to 25? A. 10 B. 12 C. 13 D. 15 E. 16 5

6 27. Last year Suzanne's father, Rick, was three times as old as Suzanne. Today, Rick is 32 years older than Suzanne. (In this problem, all "ages" are whole numbers.) What will be the sum of their ages next year? A. 64 years B. 65 years C. 66 years D. 67 years E. 68 years x - x 2 is a Real Number if a x b. The maximum possible value of b - a is A. 4 B. 8 C. 10 D. 16 E. Not a finite number 29. Rounded to the nearest tenth, the shortest distance between the point (10,7) and the line: y = -2x + 7 is A. 8.9 B. 9.2 C. 9.5 D. 9.7 E The four vertices of a square PQRS are P(9, 6), Q(a, b), R(5, 16), and S(c, d). The product abcd equals A. 0 B C D E In quadrilateral ABCD, BC = CD = DA = x cm and AB = BD = y cm The set of all possible values of y x is A. D. 1 2 < y x < B. 1 < y x < C. 1 < y x < < y x < 2 E. 1 2 < y x < 1 6

7 32. The first seven terms of a sequence are: 3, 11, -4, -59, -39, 256, 451 This sequence is generated by the rule: a n+1 = a n - 5a n-1 For example: 11-5 (3) = -4; -4-5 (11) = -59; etc. In the above sequence, which one of the following terms is a multiple of 12? A. 96 th B. 101 st C. 102 nd D. 105 th E. 108 th 33. The radius of circle C is 20 cm. A 120 o sector is removed from circle C. Segments AC and BC are taped to form a cone with Vertex C. B 120 o 20 C A C 20 What is the volume of the cone? (Round to the nearest cubic centimeter.) A, B A B C D E HOW MANY Whole Numbers are counterexamples which show that the following statement is false. "If N is an odd positive integer the sum of whose digits is 4 and none of whose digits is 0, then N is a prime number." A. One B. Two C. Three D. Four E. More than four 35. Triangle ABC is an isosceles right triangle with AB = BC = 2 cm. Arc BPD is the arc of a circle with center at C. Arc BQD is the arc of a circle with center at A. (The diagram is not drawn to scale.) A P Q D The area, in square centimeters (rounded to the nearest hundredth), of the shaded region BPQ is B C A B C D E

8 36. In this multiplication problem, replace each letter MEGSL with a digit chosen from 0 through 9, inclusive. M 0. x 4 Replace identical letters with the same number Different letters represent different numbers. LSGEM The sum M+E+G+S+L equals A. 20 B. 22 C. 23 D. 26 E of equals 3 N. What does N equal? A. 40 B. 80 C. 119 D. 239 E In each diagram, ABC is a right triangle, AB = 20 cm and BC = 10 cm. A A As shown, a square is inscribed in each triangle. A 1, the ratio of the areas of the A 2 two squares equals (round to the nearest hundredth) B A 1 C B A 2 C A B C D E In the ninth grade class, each of 130 students attends exactly one of the five English classes. Each class has fewer than 30 students. What is the least possible number of students in any one of these five classes? A. 10 B. 14 C. 20 D. 23 E. 26 8

9 Always follow the direction of the arrows. If the above pattern were continued to 15, the number of distinct paths from 1 to 15 would be A. 600 B. 610 C. 620 D. 630 E The prime factorization of 2000 can be written 2000 = 2 x 5 y. The sum x + y equals A. 6 B. 7 C. 8 D. 9 E A circle with radius 16 cm is inscribed in a square. Rounded to the nearest square centimeter, the area of the shaded region is A. 3 B. 55 C. 74 D. 137 E Suzanne buys bagels for $6.60 per dozen. She spends $16.50 for the bagels and then sells all of them for $ What is her average profit per bagel? A. $0.24 B. $0.30 C. $0.36 D. $0.40 E. $ Among the 500 spectators at a basketball game, 30% were not students. Among the students, 30% were sophomores. Among the sophomores, 60% were boys. How many female sophomores were spectators at the game? A. 18 B. 27 C. 42 D. 54 E In baseball, home plate is a pentagon with AB = BC, DE = 2 AE = 2 CD, B and with right angles at vertices B, D, and E. DE = 20 cm. The area, rounded to the nearest square centimeter, of home plate is A C A. 240 B. 264 C. 284 D. 292 E. 300 E D 9

10 46. To build a set of book shelves, a carpenter needs 30 identical boards, each 2 feet 7 inches long. For this type of wood, the lumber yard sells only 12 foot long boards. How many 12 foot long boards must the carpenter purchase? A. 6 B. 7 C. 8 D. 9 E. More than From 1:08 PM to 5:46 PM, the hour hand of a clock moves through an angle of A. 135 o B. 136 o C. 137 o D. 138 o E. 139 o 48. A square piece of paper is folded in half twice: from top to bottom, then from top to bottom again. If the perimeter of the final rectangle is 35 cm, what was the perimeter of the original square? A. 54 B. 56 C. 70 D. 105 E A small hose fills a swimming pool in 16 hours. A large hose fills the same pool in 12 hours. With the pool empty, the owner turns on the smaller hose at 8:00 AM. He turns on the larger hose at 10:00 AM. Both hoses are used from 10:00 AM to 3:00 PM. Rounded to the nearest percent, how full is the pool at 3:00 PM? A. 27% B. 48% C. 73% D. 85% E. 102% 50. You have one sheet of very thin paper. One stack of 200 sheets is only one centimeter tall. If you could fold the paper in half 50 times, how thick, in kilometers, would the folded paper be? (Select the closest answer.) A. 0.5 B. 5 C. 500 D. 50,000 E. 50,000,000 10

2012 Pellissippi State Middle School Math Competition. Sponsored by: Oak Ridge Associated Universities. Scoring Format: 3 points per correct response

2012 Pellissippi State Middle School Math Competition. Sponsored by: Oak Ridge Associated Universities. Scoring Format: 3 points per correct response 2012 Pellissippi State Middle School Math Competition Sponsored by: Oak Ridge Associated Universities 6 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers

More information

Pellissippi State. Sponsored by: Oak Ridge Associated Universities

Pellissippi State. Sponsored by: Oak Ridge Associated Universities Pellissippi State Eighth Grade Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Eighth Grade Scoring Formula: 4R W + 0 Directions: For each problem there are 5 possible

More information

2012 Pellissippi State Middle School Math Competition. Sponsored by: Oak Ridge Associated Universities

2012 Pellissippi State Middle School Math Competition. Sponsored by: Oak Ridge Associated Universities 2012 Pellissippi State Middle School Math Competition Sponsored by: Oak Ridge Associated Universities 8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers

More information

2. If an object travels at five feet per second, how many feet does it travel in one hour?

2. If an object travels at five feet per second, how many feet does it travel in one hour? 1. Of the following, which is greater than ½? A. 2/5 B. 4/7 C. 4/9 D. 5/11 E. 6/13 2. If an object travels at five feet per second, how many feet does it travel in one hour? A. 30 B. 300 C. 720 D. 1800

More information

NMC Sample Problems: Grade 6

NMC Sample Problems: Grade 6 NMC Sample Problems: Grade 6. What is the sum of the greatest common divisor and the least common multiple of 8 and 2? 2 8 66 2 2. Which number is the smallest in the set. { },., 9,,? 9 Answer:. In a pet

More information

Geometric Formulas (page 474) Name

Geometric Formulas (page 474) Name LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note:

More information

Pellissippi State Middle School Mathematics Competition

Pellissippi State Middle School Mathematics Competition 2010 Grade 8 Pellissippi State Middle School Mathematics Competition 1 of 9 Pellissippi State 2010 Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Eighth Grade Scoring

More information

2015 Practice Test #1

2015 Practice Test #1 Practice Test # Preliminary SATNational Merit Scholarship Qualifying Test IMPORTANT REMINDERS A No. pencil is required for the test. Do not use a mechanical pencil or pen. Sharing any questions with anyone

More information

Math Power ENTRANCE EXAM...2

Math Power ENTRANCE EXAM...2 Math Power October 26, 2007 : 301-251-7014 site: http://www.mathenglish.com Visit www.mathenglish.com for more product info. Direct your questions and comments to DL@MathEnglish.com. Sample Only ENTRANCE

More information

Thirty-fifth Annual Columbus State Invitational Mathematics Tournament. Instructions

Thirty-fifth Annual Columbus State Invitational Mathematics Tournament. Instructions Thirty-fifth Annual Columbus State Invitational Mathematics Tournament Sponsored by Columbus State University Department of Mathematics February 8, 009 ************************* The Mathematics Department

More information

2015 Practice Test #1

2015 Practice Test #1 Practice Test # Preliminary SATNational Merit Scholarship Qualifying Test IMPORTANT REMINDERS A No. pencil is required for the test. Do not use a mechanical pencil or pen. Sharing any questions with anyone

More information

NMC Sample Problems: Grade 7

NMC Sample Problems: Grade 7 NMC Sample Problems: Grade 7. If Amy runs 4 4 mph miles in every 8 4. mph hour, what is her unit speed per hour? mph. mph 6 mph. At a stationary store in a state, a dozen of pencils originally sold for

More information

KVS Junior Mathematics Olympiad (JMO) 2001

KVS Junior Mathematics Olympiad (JMO) 2001 KVS Junior Mathematics Olympiad (JMO) 001 M.M. 100 Time : hours Note : (i) Please check that there are two printed pages and ten question in all. (ii) Attempt all questions. All questions carry equal marks.

More information

Math is Cool Masters

Math is Cool Masters Sponsored by: GENIE Industries 7 th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round

More information

2007 Marywood Mathematics Contest

2007 Marywood Mathematics Contest 007 Marywood Mathematics Contest Level II Sponsored by SEMI-GROUP The Student Mathematics Club of Marywood University February 4, 007 Directions:. This exam consists of 40 questions on 7 pages. Please

More information

2004 Washington State Math Championship. Individual Test - Grade 5

2004 Washington State Math Championship. Individual Test - Grade 5 004 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 5 The first 0 problems are multiple

More information

Gauss School and Gauss Math Circle 2017 Gauss Math Tournament Grade 7-8 (Sprint Round 50 minutes)

Gauss School and Gauss Math Circle 2017 Gauss Math Tournament Grade 7-8 (Sprint Round 50 minutes) Gauss School and Gauss Math Circle 2017 Gauss Math Tournament Grade 7-8 (Sprint Round 50 minutes) 1. Compute. 2. Solve for x: 3. What is the sum of the negative integers that satisfy the inequality 2x

More information

Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8

Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8 Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators.

More information

Math is Cool Championships

Math is Cool Championships Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise. Record all answers on

More information

4. If (x h)(x + k) = x 2 16, what is the value of h + k? (A) 8 (B) 4 (C) 0 (D) 4 (E) 8

4. If (x h)(x + k) = x 2 16, what is the value of h + k? (A) 8 (B) 4 (C) 0 (D) 4 (E) 8 1. In the figure below, the graph of y = kx 2 intersects triangle C at. If = C and the area of triangle C is 6, what is the value of k? y = kx 2 4. If (x h)(x + k) = x 2 16, what is the value of h + k?

More information

2015 State Competition Countdown Round Problems 1 80

2015 State Competition Countdown Round Problems 1 80 2015 State Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. National Sponsors Raytheon Company Northrop Grumman Foundation U.S. Department of

More information

There s a science to it!

There s a science to it! Page 1 There s a science to it REDESIGNED SAT Practice Material Written by Montclair High School Math Teacher Ryan Casazza Topic: Geometry and Statistics *All answers are at the end of this document. 1)

More information

2016 Marywood Mathematics Contest

2016 Marywood Mathematics Contest 206 Marywood Mathematics Contest Level II Sponsored by imacs The Marywood Math and Computer Science Club Marywood University and Mu Alpha Theta March 9, 206 Directions:. This exam consists of 40 questions

More information

FROSH-SOPH 2 PERSON COMPETITION LARGE PRINT QUESTION 1 ICTM 2017 STATE DIVISION AA 1. Determine the sum of all distinct positive integers between 8 and 16 inclusive that can be expressed in one and only

More information

(A) 2S + 3 (B) 3S + 2 (C) 3S + 6 (D) 2S + 6 (E) 2S + 12

(A) 2S + 3 (B) 3S + 2 (C) 3S + 6 (D) 2S + 6 (E) 2S + 12 1 The sum of two numbers is S Suppose 3 is added to each number and then each of the resulting numbers is doubled What is the sum of the final two numbers? (A) S + 3 (B) 3S + (C) 3S + 6 (D) S + 6 (E) S

More information

PURPLE COMET MATH MEET April 2012 MIDDLE SCHOOL - SOLUTIONS

PURPLE COMET MATH MEET April 2012 MIDDLE SCHOOL - SOLUTIONS PURPLE COMET MATH MEET April 2012 MIDDLE SCHOOL - SOLUTIONS Copyright c Titu Andreescu and Jonathan Kane Problem 1 Evaluate 5 4 4 3 3 2 2 1 1 0. Answer: 549 The expression equals 625 64 9 2 1 = 549. Problem

More information

MATHCOUNTS State Competition Countdown Round Problems This section contains problems to be used in the Countdown Round.

MATHCOUNTS State Competition Countdown Round Problems This section contains problems to be used in the Countdown Round. MATHCOUNTS 2011 State Competition Countdown Round Problems 1 80 This section contains problems to be used in the Countdown Round. National Sponsors Raytheon Company * National Defense Education Program

More information

Directions: This is a practice final exam which covers all chapters in this course. (A) (B) 3 10 (C) 10 3 (D) (E) None of the above

Directions: This is a practice final exam which covers all chapters in this course. (A) (B) 3 10 (C) 10 3 (D) (E) None of the above MAT 1012 PRACTICE FINAL EXAM Page 1 of 28 Directions: This is a practice final exam which covers all chapters in this course. Question: 1 Simplify. 9 Question: 2 Write the number 1000 using an exponent

More information

Sample. Test Booklet. Subject: MA, Grade: HS Louisiana EoC 2013 Algebra I /Geometry. - signup at to remove - Student name:

Sample. Test Booklet. Subject: MA, Grade: HS Louisiana EoC 2013 Algebra I /Geometry. - signup at  to remove - Student name: Test Booklet Subject: MA, Grade: HS Louisiana EoC 2013 Algebra I /Geometry Student name: Author: Common Core District: Common Core Released Tests Printed: Friday November 08, 2013 1 Teresa is simplifying

More information

SAT SHEET (calculators allowed)

SAT SHEET (calculators allowed) . If! 15 = 15! x, then x = A) -0 B) -15 C) 0 D) 15 E) 0 4. A dozen roses cost $15.60 and the cost of one rose and one lily together cost $4.50. What is the cost of one lily? A) $1.0 B) $.0 C) $5.80 D)

More information

Math is Cool Masters

Math is Cool Masters Math is Cool Masters 0-11 Individual Multiple Choice Contest 0 0 0 30 0 Temperature of Liquid FOR QUESTIONS 1, and 3, please refer to the following chart: The graph at left records the temperature of a

More information

(A) 20% (B) 25% (C) 30% (D) % (E) 50%

(A) 20% (B) 25% (C) 30% (D) % (E) 50% ACT 2017 Name Date 1. The population of Green Valley, the largest suburb of Happyville, is 50% of the rest of the population of Happyville. The population of Green Valley is what percent of the entire

More information

State Math Contest (Junior)

State Math Contest (Junior) Name: Student ID: State Math Contest (Junior) Instructions: Do not turn this page until your proctor tells you. Enter your name, grade, and school information following the instructions given by your proctor.

More information

MMC Sectoral Level, Category B. March 24, 2017

MMC Sectoral Level, Category B. March 24, 2017 MMC 017 Sectoral Level, Category B March 4, 017 Disclaimer: inexact wording. I was not able to attend the actual round, so I must rely on transcriptions, which may affect the accuracy. I can vouch for

More information

MATHEMATICS TEST 60 Minutes 60 Questions

MATHEMATICS TEST 60 Minutes 60 Questions MATHEMATICS TEST 60 Minutes 60 Questions DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document. Do not linger over problems that take

More information

48th AHSME If a is 50% larger than c, and b is 25% larger than c, then a is what percent larger than b?

48th AHSME If a is 50% larger than c, and b is 25% larger than c, then a is what percent larger than b? 48th HSME 1997 2 1 If a and b are digits for which then a + b = 2 a b 6 9 9 2 9 8 9 () () 4 () 7 () 9 (E) 12 2 The adjacent sides of the decagon shown meet at right angles What is its perimeter? () 22

More information

GRE. Advanced GRE Math Questions

GRE. Advanced GRE Math Questions Advanced GRE Math Questions Quantitative Arithmetic 1. What is the sum of all integers x, such that 7 < x 5? 7 7 6 6 7 1. C Quantitative Fractions and Ratios 1. The current ratio of boys to girls at a

More information

1. Relay 1: (a) A man born in the first half of the nineteenth century was x years old in the year x 2. In what year was he born?

1. Relay 1: (a) A man born in the first half of the nineteenth century was x years old in the year x 2. In what year was he born? 1. Relay 1: (a) A man born in the first half of the nineteenth century was x years old in the year x 2. In what year was he born? (b) Let Z = a 6 90. The points A, B, and C are on a circle O. The tangent

More information

2 The scatter plot below represents the relationship between the number of peanuts a student eats and the student's bowling score.

2 The scatter plot below represents the relationship between the number of peanuts a student eats and the student's bowling score. 1 The number of calories burned while jogging varies directly with the number of minutes spent jogging. If George burns 10 calories by jogging for 0 minutes, how many calories does he burn by jogging for

More information

The Second Annual West Windsor-Plainsboro Mathematics Tournament

The Second Annual West Windsor-Plainsboro Mathematics Tournament The Second Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 9th, 0 Grade 8 Test RULES The test consists of 0 multiple choice problems and 0 short answer problems to be done in 0 minutes.

More information

Indicate whether the statement is true or false.

Indicate whether the statement is true or false. PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.

More information

SAT Subject Test Practice Test II: Math Level I Time 60 minutes, 50 Questions

SAT Subject Test Practice Test II: Math Level I Time 60 minutes, 50 Questions SAT Subject Test Practice Test II: Math Level I Time 60 minutes, 50 Questions All questions in the Math Level 1 and Math Level Tests are multiple-choice questions in which you are asked to choose the BEST

More information

Thirty-third Annual Columbus State Invitational Mathematics Tournament. Instructions

Thirty-third Annual Columbus State Invitational Mathematics Tournament. Instructions Thirty-third Annual Columbus State Invitational Mathematics Tournament Sponsored by Columbus State University Department of Mathematics March rd, 007 ************************* ANSWER KEY The Mathematics

More information

THE CALGARY MATHEMATICAL ASSOCIATION 30 TH JUNIOR HIGH SCHOOL MATHEMATICS CONTEST April 26, 2006

THE CALGARY MATHEMATICAL ASSOCIATION 30 TH JUNIOR HIGH SCHOOL MATHEMATICS CONTEST April 26, 2006 THE CALGARY MATHEMATICAL ASSOCIATION 30 TH JUNIOR HIGH SCHOOL MATHEMATICS CONTEST April 26, 2006 NAME: SOLUTIONS GENDER: PLEASE PRINT (First name Last name) M F SCHOOL: GRADE: (7,8,9) You have 90 minutes

More information

Diagnostic Test. Month Balance Change February $ March $ $13.10 April $1, $ May $ $ June $ $163.

Diagnostic Test. Month Balance Change February $ March $ $13.10 April $1, $ May $ $ June $ $163. Diagnostic Test Select the best answer for questions 1 60. Fill in the correct bubble on your answer sheet. 1. The chart shows the balance in Neil s savings account and the change from the previous month.

More information

MATHCOUNTS State Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.

MATHCOUNTS State Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. MATHCOUNTS Name School Chapter 2011 State Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of 30 problems. You will have 40

More information

Park Forest Math Team. Meet #4. Geometry. Self-study Packet

Park Forest Math Team. Meet #4. Geometry. Self-study Packet Park Forest Math Team Meet #4 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:

More information

0615geo. Geometry CCSS Regents Exam In the diagram below, congruent figures 1, 2, and 3 are drawn.

0615geo. Geometry CCSS Regents Exam In the diagram below, congruent figures 1, 2, and 3 are drawn. 0615geo 1 Which object is formed when right triangle RST shown below is rotated around leg RS? 4 In the diagram below, congruent figures 1, 2, and 3 are drawn. 1) a pyramid with a square base 2) an isosceles

More information

CDS-I 2019 Elementary Mathematics (Set-C)

CDS-I 2019 Elementary Mathematics (Set-C) 1 CDS-I 019 Elementary Mathematics (Set-C) Direction: Consider the following for the next three (03) items : A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the

More information

Intermediate Mathematics League of Eastern Massachusetts

Intermediate Mathematics League of Eastern Massachusetts Meet #4 February, 2003 Intermediate Mathematics League of Eastern Massachusetts www.imlem.org Meet #4 February, 2003 Category 1 Mystery You may use a calculator 1. The numbers 1, 5, 12, and 22 are called

More information

2018 State Competition Countdown Round Problems 1 80

2018 State Competition Countdown Round Problems 1 80 2018 State Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2018 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company Northrop

More information

Dr. Del s Practical Math. Tier 3 Part 3. Notes and Sample Problems. Lessons 1-9

Dr. Del s Practical Math. Tier 3 Part 3. Notes and Sample Problems. Lessons 1-9 Dr. Del s Practical Math Tier 3 Part 3 Notes and Sample Problems Lessons 1-9 Tier 3 Part 3 Lesson 2 Notes: Test Preparation The most important thing in test preparation is your attitude toward the test.

More information

Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E.

Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E. April 9, 01 Standards: MM1Ga, MM1G1b Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? (1,10) B. (,7) C. (,) (,) (,1). Points P, Q, R, and S lie on a line

More information

Grade Middle/Junior High School Mathematics Competition 1 of 10

Grade Middle/Junior High School Mathematics Competition 1 of 10 Grade 8 2012 Middle/Junior High School Mathematics Competition 1 of 10 1. The table below has information about a person's distance from home (in feet) as a function of time (in minutes). If the relationship

More information

Ohio s State Tests PRACTICE TEST GEOMETRY. Student Name

Ohio s State Tests PRACTICE TEST GEOMETRY. Student Name Ohio s State Tests PRACTICE TEST GEOMETRY Student Name The Ohio Department of Education does not discriminate on the basis of race, color, national origin, sex, religion, age, or disability in employment

More information

MATHCOUNTS State Competition Countdown Round Problems This section contains problems to be used in the Countdown Round.

MATHCOUNTS State Competition Countdown Round Problems This section contains problems to be used in the Countdown Round. MATHCOUNTS 2007 State Competition Countdown Round Problems 1 80 This section contains problems to be used in the Countdown Round. National Sponsors Lockheed Martin * Raytheon Company Texas Instruments

More information

Finding a Percent of a Number (page 216)

Finding a Percent of a Number (page 216) LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5%

More information

GEOMETRY (Common Core)

GEOMETRY (Common Core) GEOMETRY (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Tuesday, June 2, 2015 1:15 to 4:15 p.m., only Student Name: School Name: The possession

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II Tuesday, August 13, 2002 8:30 to 11:30 a.m., only Notice... Scientific

More information

ACT Review #5 Int Math 3

ACT Review #5 Int Math 3 ACT Review #5 Int Math 3 2. In the figure below, lines j and k are parallel, transversals m and n intersect to form an angle of measure x, and two other angle measures are as marked. What is the value

More information

Math Contest, Fall 2017 BC EXAM , z =

Math Contest, Fall 2017 BC EXAM , z = Math Contest, Fall 017 BC EXAM 1. List x, y, z in order from smallest to largest fraction: x = 111110 111111, y = 1 3, z = 333331 333334 Consider 1 x = 1 111111, 1 y = thus 1 x > 1 z > 1 y, and so x

More information

Grade 7 Tennessee Middle/Junior High School Mathematics Contest

Grade 7 Tennessee Middle/Junior High School Mathematics Contest Grade 7 Tennessee Middle/Junior High School Mathematics Contest 2006 1 1. A city council decided to levy a 10 -per-cup tax on fancy coffee drinks sold there. They estimated the tax would gross about $6

More information

Adding/Subtracting/Multiplying/Dividing Positive and Negative Numbers

Adding/Subtracting/Multiplying/Dividing Positive and Negative Numbers Name 2018-2019 Algebra I Summer Packet This packet is required to be turned in on the first Friday of School. Order of Operations 1) 14 7 + 3 2 2) 42 2(-12 + 9) 3) 49 4) -14 5) 18 30 5 6) 48 (5 + 7) 9

More information

Geometry Honors Homework

Geometry Honors Homework Geometry Honors Homework pg. 1 12-1 Practice Form G Tangent Lines Algebra Assume that lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x? 1. 2. 3. The circle

More information

Turn to Section 4 of your answer sheet to answer the questions in this section.

Turn to Section 4 of your answer sheet to answer the questions in this section. Math Test Calculator 5 M INUTES, QUE S TI ON S Turn to Section of our answer sheet to answer the questions in this section. For questions -7, / +5 solve each problem, choose the best answer from the choices

More information

SAMPLE TEST MATHEMATICS ExPLANATIONS OF CORRECT ANSWERS

SAMPLE TEST MATHEMATICS ExPLANATIONS OF CORRECT ANSWERS 51. (D) 4 5 P 5 48 5 P 5 48 4 5 1 P 5 1 5 6 5 5. (G) Since 5.6 ricks and 1.88 dalts are both equal to 1 sind, then 5.6 ricks 5 1.88 dalts. To calculate the number of dalts (d) in 1 rick, set up a proportion:

More information

3. A square has 4 sides, so S = 4. A pentagon has 5 vertices, so P = 5. Hence, S + P = 9. = = 5 3.

3. A square has 4 sides, so S = 4. A pentagon has 5 vertices, so P = 5. Hence, S + P = 9. = = 5 3. JHMMC 01 Grade Solutions October 1, 01 1. By counting, there are 7 words in this question.. (, 1, ) = 1 + 1 + = 9 + 1 + =.. A square has sides, so S =. A pentagon has vertices, so P =. Hence, S + P = 9..

More information

Accelerated Math 7 Second Semester Final Practice Test

Accelerated Math 7 Second Semester Final Practice Test Accelerated Math 7 Second Semester Final Practice Test Name Period Date Part 1 Learning Target 5: I can solve problems applying scale factor to geometric figures or scale drawings. 1. What is the value

More information

Do not open your test until instructed to do so!

Do not open your test until instructed to do so! Thirty-Ninth Annual Columbus State Invitational Mathematics Tournament Sponsored by The Columbus State University Department of Mathematics and Philosophy March nd, 013 ************************* The Columbus

More information

MATHEMATICS COMMON CORE LEARNING TARGETS KINDERGARTEN

MATHEMATICS COMMON CORE LEARNING TARGETS KINDERGARTEN KINDERGARTEN Counting and Cardinality K n o w n u m b e r n a m e s a n d t h e c o u n t s e q u e n c e Count to 100 by ones. Count to 100 by tens. Count starting at a number other than 1. Write numbers

More information

Math Grade 8 Assessment Anchors and Eligible Content

Math Grade 8 Assessment Anchors and Eligible Content Math Grade 8 Assessment Anchors and Eligible Content Pennsylvania Department of Education www.pde.state.pa.us 2007 M8.A Numbers and Operations M8.A.1 Demonstrate an understanding of numbers, ways of representing

More information

High School Mathematics Contest

High School Mathematics Contest High School Mathematics Contest Elon University Mathematics Department Saturday, March, 00. John is as old as Eli and Walter combined right now. In 0 years, Eli will be twice as old as Walter. In 4 years,

More information

Math is Cool Masters

Math is Cool Masters 8th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise.

More information

California 5 th Grade Standards / Excel Math Correlation by Lesson Number

California 5 th Grade Standards / Excel Math Correlation by Lesson Number (Activity) L1 L2 L3 Excel Math Objective Recognizing numbers less than a million given in words or place value; recognizing addition and subtraction fact families; subtracting 2 threedigit numbers with

More information

2016 King s College Math Competition. Instructions

2016 King s College Math Competition. Instructions 06 King s College Math Competition King s College welcomes you to this year s mathematics competition and to our campus. We wish you success in this competition and in your future studies. Instructions

More information

Arkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 2008

Arkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 2008 Arkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 008 Select the best answer for each of the following questions and mark it on the answer sheet provided. Be sure to read all the

More information

Intermediate Mathematics League of Eastern Massachusetts

Intermediate Mathematics League of Eastern Massachusetts Meet #5 March/April 2005 Intermediate Mathematics League of Eastern Massachusetts Average team score: 86.6 Average meet for the seasion: 95.9 Meet #5 March/April 2005 Category 1 Mystery Meet #5, March/April

More information

Year 4 Term 3 Homework

Year 4 Term 3 Homework Yimin Math Centre Year 4 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 4 Year 4 Term 3 Week 4 Homework 1 4.1 Topic 1 Volume.................................... 1 4.2 Topic 2 Mass......................................

More information

2. Place the following numbers in order from smallest to largest:

2. Place the following numbers in order from smallest to largest: MAT08 Final Exam Review Note to students: The final exam for this course will consist of 0 multiple-choice questions and a few open-ended questions. You may use a calculator on the exam, but no notes of

More information

2. What is 99.5% of 4? A) B) C) 3.60 D) 3.98 E) 3.99

2. What is 99.5% of 4? A) B) C) 3.60 D) 3.98 E) 3.99 1. The tens digit is twice the units digit. If the digits are reversed, the resulting number is 7 less than the original number. What is the original number? A) 1 6 48 6 E) 84. What is 99.5% of 4? A) 0.098

More information

#2212 Geometry S2 #7772 Foundations in Geometry S2

#2212 Geometry S2 #7772 Foundations in Geometry S2 Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: High School #2212 Geometry

More information

March 5, Solution: D. The event happens precisely when the number 2 is one of the primes selected. This occurs with probability ( (

March 5, Solution: D. The event happens precisely when the number 2 is one of the primes selected. This occurs with probability ( ( March 5, 2007 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) 0.21 (B) 0.30 (C)

More information

CIE-USA/DFW. MathComp Grade questions. Time: One Hour

CIE-USA/DFW. MathComp Grade questions. Time: One Hour CIE-USA/DFW MathComp 2015 Grade 4 40 questions Time: One Hour Note: Make sure to write all your answers on the answer sheet. Only the answer sheet will be graded. Each question only has one correct answer.

More information

1 Linear and Absolute Value Equations

1 Linear and Absolute Value Equations 1 Linear and Absolute Value Equations 1. Solve the equation 11x + 6 = 7x + 15. Solution: Use properties of equality to bring the x s to one side and the numbers to the other: 11x (7x) + 6 = 7x (7x) + 15

More information

Grade 7 Mathematics Test Booklet

Grade 7 Mathematics Test Booklet Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,

More information

SY14-15 Algebra Exit Exam - PRACTICE Version

SY14-15 Algebra Exit Exam - PRACTICE Version Student Name: Directions: Solve each problem. You have a total of 90 minutes. Choose the best answer and fill in your answer document accordingly. For questions requiring a written response, write your

More information

2016 King s College Math Competition. Instructions

2016 King s College Math Competition. Instructions 06 King s College Math Competition King s College welcomes you to this year s mathematics competition and to our campus. We wish you success in this competition and in your future studies. Instructions

More information

California 3 rd Grade Standards / Excel Math Correlation by Lesson Number

California 3 rd Grade Standards / Excel Math Correlation by Lesson Number California 3 rd Grade Standards / Lesson (Activity) L1 L2 L3 L4 L5 L6 L7 L8 Excel Math Lesson Objective Learning about the tens place and the ones place; adding and subtracting two-digit numbers; learning

More information

Mad Hatter Part I.

Mad Hatter Part I. Question 1. Mad Hatter 11-12. Part I. When a triangle s base is increased by 10%, and the altitude to this base is decreased by 10%, the change in area is Math Field Day. California State University, Fresno.

More information

Math Wrangle Practice Problems

Math Wrangle Practice Problems Math Wrangle Practice Problems American Mathematics Competitions December 22, 2011 ((3!)!)! 1. Given that, = k. n!, where k and n are positive integers and n 3. is as large as possible, find k + n. 2.

More information

Multiplication and Division

Multiplication and Division UNIT 3 Multiplication and Division Skaters work as a pair to put on quite a show. Multiplication and division work as a pair to solve many types of problems. 82 UNIT 3 MULTIPLICATION AND DIVISION Isaac

More information

number. However, unlike , three of the digits of N are 3, 4 and 5, and N is a multiple of 6.

number. However, unlike , three of the digits of N are 3, 4 and 5, and N is a multiple of 6. C1. The positive integer N has six digits in increasing order. For example, 124 689 is such a number. However, unlike 124 689, three of the digits of N are 3, 4 and 5, and N is a multiple of 6. How many

More information

1 Which expression represents 5 less than twice x? 1) 2) 3) 4)

1 Which expression represents 5 less than twice x? 1) 2) 3) 4) 1 Which expression represents 5 less than twice x? 2 Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability of Gabriella

More information

MCA/GRAD Formula Review Packet

MCA/GRAD Formula Review Packet MCA/GRAD Formula Review Packet 1 2 3 4 5 6 The MCA-II / BHS 2 Math Plan GRAD Page 1 of 16 Portions Copyright 2005 by Claude Paradis 8 9 10 12 11 13 14 15 16 1 18 19 20 21 The MCA-II / BHS 2 Math Plan GRAD

More information

Using Proportions to Solve Percent Problems (page 562)

Using Proportions to Solve Percent Problems (page 562) LESSON Name 81 Using Proportions to Solve Percent Problems (page 562) Percent problems can be solved using proportions. Make and complete a percent box. (The total is always 100.) 1. Write in the known

More information

IT IS NOT OKAY TO SIMPLY CIRCLE A LETTER AND MOVE ON.

IT IS NOT OKAY TO SIMPLY CIRCLE A LETTER AND MOVE ON. Coordinate Algebra EOCT Review Packet This packet it being provided to ALL Coordinate Algebra students as a snap shot of what types of problems they MAY experience on the EOCT exam that is due to be given

More information

The Furman University Wylie Mathematics Tournament

The Furman University Wylie Mathematics Tournament The Furman University Wylie Mathematics Tournament Senior Examination 15 February 2003 Please provide the following information: Name School Code 1. Do not open this test booklet until instructed. Instructions

More information

UNC Charlotte 2005 Comprehensive March 7, 2005

UNC Charlotte 2005 Comprehensive March 7, 2005 March 7, 2005 1 The numbers x and y satisfy 2 x = 15 and 15 y = 32 What is the value xy? (A) 3 (B) 4 (C) 5 (D) 6 (E) none of A, B, C or D 2 Suppose x, y, z, and w are real numbers satisfying x/y = 4/7,

More information

Unit 1 : Numbers to 10,000. Friendly Notes

Unit 1 : Numbers to 10,000. Friendly Notes Unit : Numbers to 0,000 Friendly Notes Thousands, Hundreds, Tens, and Ones. Count the thousands, hundreds, tens, and ones in this chart.,000,000 00 00 0 0 0 00 00 00 00 0 0 0 0 0 2,000 + 600 + 80 + 5 =

More information

p and q are two different primes greater than 25. Pass on the least possible value of p + q.

p and q are two different primes greater than 25. Pass on the least possible value of p + q. A1 p and q are two different primes greater than 25. Pass on the least possible value of p + q. A3 A circle has an area of Tπ. Pass on the area of the largest square which can be drawn inside the circle.

More information