EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, 2012

Size: px
Start display at page:

Download "EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, 2012"

Transcription

1 EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, DO NOT OPEN YOUR TEST BOOKLET OR BEGIN WORK UNTIL YOU ARE TOLD TO DO SO BY YOUR PROCTOR. 2. LISTEN CAREFULLY AS YOUR PROCTOR EXPLAINS WHERE TO WRITE YOUR NAME, THE NAME OF YOUR SCHOOL, YOUR GRADE LEVEL, AND HOW TO MARK YOUR ANSWERS. 3. YOU MAY USE YOUR CALCULATOR. YOU ONLY NEED A FOUR- FUNCTION CALCULATOR, BUY YOU MAY USE ANY NONGRAPHING, NONPROGRAMMABLE CALCULATOR. IF YOUR CALCULATOR CAN BE PROGRAMMED OR CAN GRAPH, GIVE IT TO THE PROCTOR. 4. YOUR SCORE WILL BE THE NUMBER OF QUESTIONS YOU ANSWER CORRECTLY. IN THE EVENT OF TIES, PROBLEM #40 WILL BE USED AS A TIE BREAKER; IF TIES STILL REMAIN, PROBLEM #39 WILL BE USED AS A TIE BREAKER, ETC. The Excellence in Mathematics Contest would like to acknowledge and thank Rick Armstrong for his help. 1

2 1. In the movie 127 Hours, the rock climber was trapped for 127 hours. If his ordeal began at 10 AM on Saturday, when did his ordeal end? A. Wednesday, 5 PM B. Thursday, 5 PM C. Wednesday, 7 PM D. Thursday, 7 PM E. None of These 2. According to the movie Facebook, Eduardo s share of the company was reduced from 34% to 0.03%. What is 0.03% of $25 billion dollars? A. $7.5 million B. $7500 C. $750,000 D. $75 million E. $750 million 3. What is the sum of the digits of the smallest two-digit prime number whose digits are also each prime? (Note: Since a prime number must have exactly two divisors, 1 is not a prime number.) A. 4 B. 5 C. 8 D. 10 E This is part of a Mother Goose rhyme: As I was going to St. Ives, I met a man with seven wives; Every wife had seven sacks; Every sack had seven cats; Every cat had seven kits. What is the total number of men, wives, sacks, cats, and kits that this person met? A. 155 B C D E B 5. ACEG is a square and each of the four triangles is equilateral. What is the ratio of the measure of the angle ABC to the measure of the marked angle BCD? A C H A. 2/5 B. 1/2 C. 3/4 G E D. 3/5 E. 2/3 F D 6. Which one of these five expressions is not equal to the other four expressions? A. B. C. D. E. 7. On a multi-day bike ride across Missouri, a cyclist leaves Wentzville at 8:00 AM and averages 18 mph. At 11:00 AM, his support crew leaves Wentzville in a van along the same route and they average 52 mph. At 12:30 PM, how many miles is the cyclist still ahead of the support crew? A. 3 miles B. 5 miles C. 8 miles D. 10 miles E. 12 miles 8. B, C, and D are three different numbers from this set: { 5, 4, 3, 2, 1, 0, 1, 2, 3 }. What is the least possible value of? A. 23 B. 19 C. 18 D. 17 E. None of These 2

3 9. For a $15.20 bill at Omi s Pizza, you give the waitress $19.00 and say, Keep the change. What percent tip did you just leave? A. 15% B. 18% C. 20% D. 25% E. 80% 10. In November, 2011, there will be the date 11/11/11. How many hours are there from noon on 10/10/10 to noon on 11/11/11? 11. A B C D E Of these five numbers: 5, 3, 2, 0, 2; how many make the above inequality true? A. 0 B. 1 C. 2 D. 3 E The surface area of a cube is 96 cm 2. What is the volume of the cube? A. 64 cm 3 B. 96 cm 3 C. 128 cm 3 D. 216 cm 3 E. 256 cm My daughter Zan was born on the N th day of March. From your age in years, you can calculate N and therefore know Zan s birthday. 1. Make a 6-digit number by writing your age three times. (For example, if your teacher is 28 years old, your teacher would write ) 2. Divide your 6-digit number by Add 133 to that answer. 4. Divide that answer by From that answer, subtract your age in years. Your final answer is N. When is Zan s birthday? A. March 7 B. March 12 C. March 14 D. March 19 E. March What is the square of the sum of the square roots of 3 and 4? Round to the nearest tenth. A. 5.0 B. 7.0 C. 9.9 D E If x = 4, what is the largest number in the set? A. 3x B. 5x C. x 2 D. x 3 E x 3 6x 2 + 2x 28 = (2x + A)(3x 2 + Bx + 7) What is A+B? A. 3 B. 1 C. 2 D. 3 E The measure of one angle of a quadrilateral is 12 o. The measure of each of the other angles is N o. What is N? A. 56 o B. 87 o C. 86 o D. 94 o E. 116 o 3

4 18. What is the x-intercept of the straight line through the points ( 30, 60) and (0, 75)? A. ( 150, 0) B. ( 90, 0) C. (0, 0) D. (90, 0) E. (150, 0) Use the following Rule for questions #19 and #20. An Ulam-Collatz Sequence of integers is generated by these rules: 1. The first term is a positive integer. 2. If a number N in the sequence is odd, the next number is 3N If a number N in the sequence is even, the next number is N/2. For example: 6; 3; 10; 5; 16; 8; is the start of one possible Ulam-Collatz Sequence. 19. If the first three terms of an Ulam-Collatz Sequence are: 30; 15; 46; what is the 8 th term? A. 52 B. 53 C. 54 D. 55 E The Ulam-Collatz Conjecture is that EVERY Ulam-Collatz Sequence eventually will include the repeating sequence: 4; 2; 1; 4; 2; 1; If the first three terms of an Ulam-Collatz sequence are 9; 28; 14;, which term is the FIRST occurrence of 4? A. 16 th B. 18 th C. 20 th D. 22 nd E. 24 th 21. If x = 10, equals A. 1 B. 1 C. D. E. 22. The product of the three numbers in each row and in each column is given. Without repetition, place the numbers 1 through 9 in these nine cells to produce these six products. What is the number in the cell marked N? N A. 1 B. 2 C D. 4 E ABC is an equilateral triangle divided into four stripes of equal width. What fraction of triangle ABC is shaded? B A. 1/2 B. 3/4 C. 5/8 D. 7/12 E. 9/16 A C 4

5 24. For how many ordered pairs (x, y) of positive integers does 2x + 5y = 100? A. 9 B. 10 C. 18 D. 19 E A teacher noticed this sign in a movie cinema in Singapore. Children under 2.5 feet or under 78 cm are admitted free. Using 1 inch = 2.54 cm, what is the positive difference between 2.5 feet and 78 cm? A. 0.6 cm B. 0.7 cm C. 1.2 cm D. 1.6 cm E. 1.8 cm 26. In equilateral triangle ABC, AD and AE divide angle BAC into three equal parts while BF divides angle ABC into two equal parts. What is the measure in degrees of angle BPA? A. 95 o B. 105 o C. 110 o A P F D. 115 o E. 120 o B D E C 27. On a number line, there are exactly two numbers that are twice as far from 20 as from 35. What is the sum of those two numbers? A. 10 B. 75 C. 80 D. 90 E Two congruent, over-lapping circles of radius 12 cm are inscribed in a rectangle. If the centers of the circles are 4 cm apart, what is the area of the rectangle? A. 288 cm 2 B. 480 cm 2 C. 576 cm 2 D. 672 cm 2 E. 768 cm Each vertical row of numbers and each horizontal row of numbers is either an increasing arithmetic sequence or a decreasing arithmetic sequence? (Note: 42; 37; 32; 27 is an example of a decreasing arithmetic sequence.) 71 What is A + B? B 13 A. 58 B C. 66 D. 68 E A 5

6 30. What is the sum x + y + z? A. 14 B. 15 C. 16 D. 17 E In the 120 mile drive from St. Louis to Columbia, a driver averaged 64 miles per hour from St. Louis to Wentzville and then 74 miles per hour from Wentzville to Columbia. Wentzville is onethird of the way from St. Louis to Columbia. On the drive from St. Louis to Columbia, what was the driver s average speed? Round to the nearest tenth of a mile per hour. A mph B mph C mph D mph E mph 32. In the sequence shown below, note that exactly two sets of consecutive digits sum to = 11 and = 11 (Note that two such sets are allowed to overlap.) In the following sequence, how many sets of consecutive digits sum to 11? A. Fewer than 3 B. 3 C. 4 D. 5 E. More than If x + y = 10, then what does the expression 3x 3(7 y) equal? A. 11 B. 9 C. 21 D. 23 E. Cannot be determined 34. On a Cartesian plane, points A( 2, 8), B(10, 8), and C(x, y) form a triangle of area 66 square units. How many of the following four points could represent point C? A. 0 B. 1 C. 2 D. 3 E If, which one of these five expressions represent h? A. B. C. D. E. 36. How many positive 9-digit numbers that are multiples of 4 can be written using only the digits 0, 1, and 2? A B C D E. 13,122 6

7 37. Six girls: Alana, Bella, Cora, Dasia, Ericka, and Fiona; and two boys: Gerald and Harold; are to sit in a row of eight chairs. In how many ways can this be done if the two boys do not sit next to each other? A. 20,160 B. 28,800 C. 30,240 D. 35,280 E. 38, The sum of four consecutive odd numbers equals the sum of five consecutive even numbers. Which one of the following five numbers could NEVER be one of the nine numbers referred to in this problem? A. 745 B. 746 C. 747 D. 748 E N is a whole number greater than 2. The six faces of a 5x5xN block of wood are painted red and then the block cut into 25N 1x1x1 unit cubes. If exactly 100 unit cubes have 2 or more faces painted red, how many unit cubes have no red paint? A. 144 B. 153 C. 162 D. 171 E Three-Pile Nim is a two-person game. Pattie and Malik take turns. There are three piles of chips. On each turn, a player takes one or more chips from any ONE pile. The player to take the last chip wins. At one point of the game, there are 1 chip; 2 chips; and 6 chips remaining in the three piles. It is Malik s turn. If both players make their best plays, there is only one winning play for Malik. What is it? A. Take 1 chip from the 6-chip pile B. Take 2 chips from the 6-chip pile C. Take 3 chips from the 6-chip pile D. Take 1 chip from the 2-chip pile E. Take 1 chip from the 1-chip pile 7

EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. THIRTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 19 th, 2013

EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. THIRTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 19 th, 2013 EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S THIRTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 19 th, 2013 1. DO NOT OPEN YOUR TEST BOOKLET OR BEGIN WORK UNTIL

More information

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

6 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Pellissippi State Middle School Mathematics Competition 6 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Directions: For each multiple-choice problem

More information

Pre-Algebra. Do not open this test booklet until you have been advised to do so by the test proctor.

Pre-Algebra. Do not open this test booklet until you have been advised to do so by the test proctor. Indiana State Mathematics Contest 016 Pre-Algebra Do not open this test booklet until you have been advised to do so by the test proctor. This test was prepared by faculty at Indiana State University Next

More information

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

7 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Pellissippi State Middle School Mathematics Competition 7 th Grade Exam Scoring Format: points per correct response - each wrong response 0 for blank answers Directions: For each multiple-choice problem

More information

Excellence In MathematicS

Excellence In MathematicS Mathematics Educators of Greater St. Louis and St. Louis Community College at Florissant Valley present Excellence In MathematicS Thirty-Ninth Annual Mathematics Contest Eighth Grade Test ------- March

More information

A = 5; B = 4; C = 3; B = 2; E = 1; F = 26; G = 25; H = 24;.; Y = 7; Z = 6 D

A = 5; B = 4; C = 3; B = 2; E = 1; F = 26; G = 25; H = 24;.; Y = 7; Z = 6 D 1. message is coded from letters to numbers using this code: = 5; B = 4; = 3; B = 2; E = 1; F = 26; G = 25; H = 24;.; Y = 7; Z = 6 When the word MISSISSIPPI is coded, what is the sum of all eleven numbers?.

More information

March 5, What is the area (in square units) of the region in the first quadrant defined by 18 x + y 20?

March 5, What is the area (in square units) of the region in the first quadrant defined by 18 x + y 20? March 5, 007 1. We randomly select 4 prime numbers without replacement from the first 10 prime numbers. What is the probability that the sum of the four selected numbers is odd? (A) 0.1 (B) 0.30 (C) 0.36

More information

Math is Cool Masters

Math is Cool Masters Sponsored by: Algebra II January 6, 008 Individual Contest Tear this sheet off and fill out top of answer sheet on following page prior to the start of the test. GENERAL INSTRUCTIONS applying to all tests:

More information

Meet #5 March Intermediate Mathematics League of Eastern Massachusetts

Meet #5 March Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2008 Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2008 Category 1 Mystery 1. In the diagram to the right, each nonoverlapping section of the large rectangle is

More information

Eighth Grade Test - Excellence in Mathematics Contest

Eighth Grade Test - Excellence in Mathematics Contest 1. The sum of two natural numbers is 100 and their positive difference is 42. What is the positive difference of the squares of these two natural numbers?. 1600. 200. 600. 4200. 400 2. The sum of 16 consecutive

More information

AMC 10. Contest A. Tuesday, FEBRUARY 1, th Annual American Mathematics Contest 10

AMC 10. Contest A. Tuesday, FEBRUARY 1, th Annual American Mathematics Contest 10 Tuesday, FEBRUARY 1, 005 6 th Annual American Mathematics Contest 10 AMC 10 Contest A The MATHEMATICAL ASSOCIATION OF AMERICA American Mathematics Competitions 1. DO NOT OPEN THIS BOOKLET UNTIL YOUR PROCTOR

More information

Sixth Grade Test - Excellence in Mathematics Contest 2012

Sixth Grade Test - Excellence in Mathematics Contest 2012 1. Tanya has $3.40 in nickels, dimes, and quarters. If she has seven quarters and four dimes, how many nickels does she have? A. 21 B. 22 C. 23 D. 24 E. 25 2. How many seconds are in 2.4 minutes? A. 124

More information

Pre-Algebra Sponsored by the Indiana Council of Teachers of Mathematics. Indiana State Mathematics Contest

Pre-Algebra Sponsored by the Indiana Council of Teachers of Mathematics. Indiana State Mathematics Contest Pre-Algebra 2010 Sponsored by the Indiana Council of Teachers of Mathematics Indiana State Mathematics Contest This test was prepared by faculty at Indiana State University ICTM Website http://www.indianamath.org/

More information

Excellence In MathematicS Seventh Grade Test Seventeenth Annual Mathematics Contest January 28 th, 2017

Excellence In MathematicS Seventh Grade Test Seventeenth Annual Mathematics Contest January 28 th, 2017 The 17 th ontest handler-gilbert ommunity ollege presents Excellence In MathematicS Seventh Grade Test Seventeenth nnual Mathematics ontest January 28 th, 2017 I. Do not open the test booklet or begin

More information

Score. Please print legibly. School / Team Names. Directions: Answers must be left in one of the following forms: 1. Integer (example: 7)

Score. Please print legibly. School / Team Names. Directions: Answers must be left in one of the following forms: 1. Integer (example: 7) Score Please print legibly School / Team Names Directions: Answers must be left in one of the following forms: 1. Integer (example: 7)! 2. Reduced fraction (example:! )! 3. Mixed number, fraction part

More information

HEXAGON. Singapore-Asia Pacific Mathematical Olympiad for Primary Schools (Mock Test for APMOPS 2012) Pham Van Thuan

HEXAGON. Singapore-Asia Pacific Mathematical Olympiad for Primary Schools (Mock Test for APMOPS 2012) Pham Van Thuan HEXAGON inspiring minds always Singapore-Asia Pacific Mathematical Olympiad for Primary Schools (Mock Test for APMOPS 2012) Practice Problems for APMOPS 2012, First Round 1 Suppose that today is Tuesday.

More information

EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. FOURTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 25 th, 2014

EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. FOURTEENTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 25 th, 2014 EXELLENE IN MTHEMTIS EIGHTH GRDE TEST HNDLER-GILERT OMMUNITY OLLEGE S FOURTEENTH NNUL MTHEMTIS ONTEST STURDY, JNURY 5 th, 0. DO NOT OPEN YOUR TEST OOKLET OR EGIN WORK UNTIL YOU RE TOLD TO DO SO Y YOUR

More information

1. How many diagonals does a regular pentagon have? A diagonal is a 1. diagonals line segment that joins two non-adjacent vertices.

1. How many diagonals does a regular pentagon have? A diagonal is a 1. diagonals line segment that joins two non-adjacent vertices. Blitz, Page 1 1. How many diagonals does a regular pentagon have? A diagonal is a 1. diagonals line segment that joins two non-adjacent vertices. 2. Let N = 6. Evaluate N 2 + 6N + 9. 2. 3. How many different

More information

Individual Round Grade 4

Individual Round Grade 4 Grade 4 1. Evaluate the following equation: (23 + 12) x 10 5 =? 2. If one side of a cube is 4 centimeters, how many cubic centimeters is the volume of the cube? 3. Freddy s alarm went off as usual at 6:00am.

More information

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

Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Eighth Grade Contest 2017 Pellissippi State Math Competition Pellissippi State Middle School Mathematics Competition 8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response

More information

April 6, 2013 RIT Competition Sprint Round Problems 1-30

April 6, 2013 RIT Competition Sprint Round Problems 1-30 April 6, 2013 RIT Competition Sprint Round Problems 1-30 Name DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of 30 problems. You will have 40 minutes to complete

More information

= Y, what does X + Y equal?

= Y, what does X + Y equal? . If 8 = 72 = Y, what does X + Y equal? 42 X 28. 80 B. 84 C. 88 D. 92 E. 96 2. pair of jeans selling for $36.80 was put on sale for 25% off. Then a 0% sales tax was applied to the sale price. When she

More information

Sixth Grade Test - Excellence in Mathematics Contest 2014

Sixth Grade Test - Excellence in Mathematics Contest 2014 1. Using one of the tables in Ogilvie s Ready Reckoner, published in 1916, a worker earning 22½ cents per hour would earn $.50 in one week. How many hours of work does this represent?. 44. 48 C. 52 D.

More information

Excellence In MathematicS Sixth Grade Test Thirty-Seventh Annual Mathematics Contest March 21, 2015

Excellence In MathematicS Sixth Grade Test Thirty-Seventh Annual Mathematics Contest March 21, 2015 73 SC The 37 th Contest Mathematics Educators of Greater St. Louis and St. Louis Community College at Florissant Valley present Excellence In MathematicS Sixth Grade Test Thirty-Seventh Annual Mathematics

More information

WASHINGTON STATE MU ALPHA THETA 2009 INDIVIDUAL TEST

WASHINGTON STATE MU ALPHA THETA 2009 INDIVIDUAL TEST WASHINGTON STATE MU ALPHA THETA 009 INDIVIDUAL TEST ) What is 40% of 5 of 40? a) 9. b) 4.4 c) 36. d) 38.4 ) The area of a particular square is x square units and its perimeter is also x units. What is

More information

UNC Charlotte 2012 Comprehensive

UNC Charlotte 2012 Comprehensive March 5, 2012 1. In the English alphabet of capital letters, there are 15 stick letters which contain no curved lines, and 11 round letters which contain at least some curved segment. How many different

More information

Excellence In MathematicS

Excellence In MathematicS Mathematics Educators of Greater St. Louis and St. Louis ommunity ollege at Florissant Valley present Excellence In MathematicS Thirty-Ninth nnual Mathematics ontest Sixth Grade Test ------- March 18,

More information

UNC Charlotte 2002 Comprehensive. March 4, 2002

UNC Charlotte 2002 Comprehensive. March 4, 2002 UNC Charlotte March 4, 2002 1 It takes 852 digits to number the pages of a book consecutively How many pages are there in the book? A) 184 B) 235 C) 320 D) 368 E) 425 2 Solve the equation 8 1 6 + x 1 3

More information

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8 Grade 6 0 Tennessee Middle/Junior High School Mathematics Competition of 8. What is the starting number in this flowchart? Start Multiply by 6 Subtract 4 Result: 3 Divide by a..5 is the starting number.

More information

Grade 2 Mathematics Scope and Sequence

Grade 2 Mathematics Scope and Sequence Grade 2 Mathematics Scope and Sequence Common Core Standards 2.OA.1 I Can Statements Curriculum Materials & (Knowledge & Skills) Resources /Comments Sums and Differences to 20: (Module 1 Engage NY) 100

More information

Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the

Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the event of a tie, questions 31-35 will be used as the tiebreaker. 1. If a = 2, the largest number in

More information

Seventh Grade Test - Excellence in Mathematics Contest 2013

Seventh Grade Test - Excellence in Mathematics Contest 2013 . How many of these five fractions are between.5 and?... D. E. 5. Of 6 Eighth graders, 80% of the 90 girls and 75% of the boys are taking lgebra I. How many of these Eighth graders are taking lgebra I?..

More information

Mathematical Olympiads November 19, 2014

Mathematical Olympiads November 19, 2014 athematical Olympiads November 19, 2014 for Elementary & iddle Schools 1A Time: 3 minutes Suppose today is onday. What day of the week will it be 2014 days later? 1B Time: 4 minutes The product of some

More information

Math 65A Elementary Algebra A Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 3 5, and Chapter 3, Sections 1-3

Math 65A Elementary Algebra A Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 3 5, and Chapter 3, Sections 1-3 Exam II STUDY GUIDE and REVIEW Chapter 2, Sections 5, and Chapter, Sections 1 - Exam II will be given on Thursday, April 10. You will have the entire class time for the exam. It will cover Chapter 2, Sections

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 7 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in

More information

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8

Grade Tennessee Middle/Junior High School Mathematics Competition 1 of 8 Grade 8 2011 Tennessee Middle/Junior High School Mathematics Competition 1 of 8 1. Lynn took a 10-question test. The first four questions were true-false. The last six questions were multiple choice--each

More information

B 2 3 = 4 B 2 = 7 B = 14

B 2 3 = 4 B 2 = 7 B = 14 Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy? (A) 3 (B) 4 (C) 7

More information

NMC Sample Problems: Grade 5

NMC Sample Problems: Grade 5 NMC Sample Problems: Grade 1. 1 2 6 10 8 9 6 =? 10 4 1 8 1 20 6 2 2. What is the value of 6 4 + 2 1 2? 1 4 1 4 1 4 12 12. What is the value of 2, 46 + 1, 74, 894 expressed to the nearest thousand? 4, 000

More information

Canadian Mathematics Competitions. Gauss (Grades 7 & 8)

Canadian Mathematics Competitions. Gauss (Grades 7 & 8) Canadian Mathematics Competitions Gauss (Grades 7 & 8) s to All Past Problems: 1998 015 Compiled by www.facebook.com/eruditsng info@erudits.com.ng Twitter/Instagram: @eruditsng www.erudits.com.ng The CENTRE

More information

MATHCOUNTS Yongyi s National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.

MATHCOUNTS Yongyi s National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. MATHCOUNTS 2008 Yongyi s National Competition Sprint Round Problems 1 30 Name State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This round of the competition consists of 30 problems. You will have

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 7 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in

More information

5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work

5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work NAME: 5 th Grade MATH SUMMER PACKET ANSWERS Please attach ALL work DATE: 1.) 26.) 51.) 76.) 2.) 27.) 52.) 77.) 3.) 28.) 53.) 78.) 4.) 29.) 54.) 79.) 5.) 30.) 55.) 80.) 6.) 31.) 56.) 81.) 7.) 32.) 57.)

More information

2009 Philippine Elementary Mathematics International Contest Page 1

2009 Philippine Elementary Mathematics International Contest Page 1 2009 Philippine Elementary Mathematics International Contest Page 1 Individual Contest 1. Find the smallest positive integer whose product after multiplication by 543 ends in 2009. It is obvious that the

More information

1. Eighty percent of eighty percent of a number is 144. What is the 1. number? 2. How many diagonals does a regular pentagon have? 2.

1. Eighty percent of eighty percent of a number is 144. What is the 1. number? 2. How many diagonals does a regular pentagon have? 2. Blitz, Page 1 1. Eighty percent of eighty percent of a number is 144. What is the 1. number? 2. How many diagonals does a regular pentagon have? 2. diagonals 3. A tiny test consists of 3 multiple choice

More information

Pascal Contest (Grade 9) Wednesday, February 23, 2005

Pascal Contest (Grade 9) Wednesday, February 23, 2005 Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario Pascal Contest (Grade 9) Wednesday, February 23, 2005 C.M.C.

More information

Minute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape.

Minute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape. Minute 1 1. Simplify: 1( + 7 + 1) =. 7 = 10 10. Circle all of the following equal to : 0. 0% 5 100. 10 = 5 5. Cross out the three-dimensional shape. 6. Each side of the regular pentagon is 5 centimeters.

More information

4. The terms of a sequence of positive integers satisfy an+3 = an+2(an+1 + an), for n = 1, 2, 3,... If a6 = 8820, what is a7?

4. The terms of a sequence of positive integers satisfy an+3 = an+2(an+1 + an), for n = 1, 2, 3,... If a6 = 8820, what is a7? 1. If the numbers 2 n and 5 n (where n is a positive integer) start with the same digit, what is this digit? The numbers are written in decimal notation, with no leading zeroes. 2. At a movie theater,

More information

Grade 2 Arkansas Mathematics Standards. Represent and solve problems involving addition and subtraction

Grade 2 Arkansas Mathematics Standards. Represent and solve problems involving addition and subtraction Grade 2 Arkansas Mathematics Standards Operations and Algebraic Thinking Represent and solve problems involving addition and subtraction AR.Math.Content.2.OA.A.1 Use addition and subtraction within 100

More information

Twenty Mathcounts Target Round Tests Test 1 MATHCOUNTS. Mock Competition One. Target Round. Name. State

Twenty Mathcounts Target Round Tests Test 1 MATHCOUNTS. Mock Competition One. Target Round. Name. State MATHCOUNTS Mock Competition One Target Round Name State DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of eight problems, which will be presented in pairs. Work

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 6 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in

More information

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet.

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet. 5 Entering 5 th Grade Summer Math Packet First Name: Last Name: 5 th Grade Teacher: I have checked the work completed: Parent Signature Select the one best answer for each question. DO NOT use a calculator

More information

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

Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Seventh Grade Contest 2017 Pellissippi State Math Competition Pellissippi State Middle School Mathematics Competition 7 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response

More information

2005 Galois Contest Wednesday, April 20, 2005

2005 Galois Contest Wednesday, April 20, 2005 Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2005 Galois Contest Wednesday, April 20, 2005 Solutions

More information

International Contest-Game MATH KANGAROO

International Contest-Game MATH KANGAROO International Contest-Game MATH KANGAROO Part A: Each correct answer is worth 3 points. 1. The number 200013-2013 is not divisible by (A) 2 (B) 3 (C) 5 (D) 7 (E) 11 2. The eight semicircles built inside

More information

APMOPS MOCK Test questions, 2 hours. No calculators used.

APMOPS MOCK Test questions, 2 hours. No calculators used. Titan Education APMOPS MOCK Test 2 30 questions, 2 hours. No calculators used. 1. Three signal lights were set to flash every certain specified time. The first light flashes every 12 seconds, the second

More information

1999 Mathcounts National Sprint Round Solutions

1999 Mathcounts National Sprint Round Solutions 999 Mathcounts National Sprint Round Solutions. Solution: 5. A -digit number is divisible by if the sum of its digits is divisible by. The first digit cannot be 0, so we have the following four groups

More information

Division of Mathematics Alfred University

Division of Mathematics Alfred University Division of Mathematics Alfred University Alfred, NY 14802 Instructions: 1. This competition will last seventy-five minutes from 10:05 to 11:20. 2. The use of calculators is not permitted. 3. There are

More information

2nd Grade Math Curriculum Map

2nd Grade Math Curriculum Map Standards Quarter 1 2.OA.2. Fluently add and subtract within 20 using mental strategies.* By end of Grade 2, know from memory all sums of two one-digit numbers. 2.OA.3. Determine whether a group of objects

More information

State Math Contest 2018 Junior Exam

State Math Contest 2018 Junior Exam State Math Contest 2018 Junior Exam Weber State University March 8, 2018 Instructions: Do not turn this page until your proctor tells you. Enter your name, grade, and school information following the instructions

More information

Grade 7 Middle School Mathematics Contest Select the list below for which the values are listed in order from least to greatest.

Grade 7 Middle School Mathematics Contest Select the list below for which the values are listed in order from least to greatest. Grade 7 Middle School Mathematics Contest 2004 1 1. Select the list below for which the values are listed in order from least to greatest. a. Additive identity, 50% of 1, two-thirds of 7/8, reciprocal

More information

Individual Test - Grade 5

Individual Test - Grade 5 2003 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 10 problems are

More information

1. Express the reciprocal of 0.55 as a common fraction. 1.

1. Express the reciprocal of 0.55 as a common fraction. 1. Blitz, Page 1 1. Express the reciprocal of 0.55 as a common fraction. 1. 2. What is the smallest integer larger than 2012? 2. 3. Each edge of a regular hexagon has length 4 π. The hexagon is 3. units 2

More information

Second Grade Mathematics Goals

Second Grade Mathematics Goals Second Grade Mathematics Goals Operations & Algebraic Thinking 2.OA.1 within 100 to solve one- and twostep word problems involving situations of adding to, taking from, putting together, taking apart,

More information

Seventh Grade Middle School Mathematics Contest

Seventh Grade Middle School Mathematics Contest Seventh Grade Middle School Mathematics Contest 2002. Which of the following must be true about an obtuse triangle? a. All its interior angles are obtuse. b. It has two acute angles. c. It has exactly

More information

UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST

UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST First Round For all Colorado Students Grades 7-12 October 31, 2009 You have 90 minutes no calculators allowed The average of n numbers is their sum divided

More information

Mathematics, Grade 8

Mathematics, Grade 8 Session 1, Multiple-Choice Questions 44084 C 1 13608 C 2 (0.5)(0.5)(0.5) is equal to which of the following? A. 0.000125 B. 0.00125 C. 0.125 D. 1.25 Reporting Category for Item 1: Number Sense and Operations

More information

a. $ b. $ c. $

a. $ b. $ c. $ LESSON 51 Rounding Decimal Name To round decimal numbers: Numbers (page 268) 1. Underline the place value you are rounding to. 2. Circle the digit to its right. 3. If the circled number is 5 or more, add

More information

Tuesday, April 25, 2017 Individual Contest FORM A. Do Not Open This Booklet Until Instructed To Do So By The Proctor

Tuesday, April 25, 2017 Individual Contest FORM A. Do Not Open This Booklet Until Instructed To Do So By The Proctor Tuesday, April 25, 2017 Individual Contest FORM A Do Not Open This ooklet Until Instructed To Do So y The Proctor This page was intended to be left blank (but now it isn t). 1. One hundred people are standing

More information

American Mathematics Competitions. Practice 8 AMC 8

American Mathematics Competitions. Practice 8 AMC 8 American Mathematics Competitions Practice 8 AMC 8 (American Mathematics Contest 8) INSTRUCTIONS 1. DO NOT OPEN THIS BOOKLET UNTIL YOUR PROCTOR TELLS YOU.. This is a twenty-five question multiple choice

More information

Meet # 1 October, Intermediate Mathematics League of Eastern Massachusetts

Meet # 1 October, Intermediate Mathematics League of Eastern Massachusetts Meet # 1 October, 2000 Intermediate Mathematics League of Eastern Massachusetts Meet # 1 October, 2000 Category 1 Mystery 1. In the picture shown below, the top half of the clock is obstructed from view

More information

A natural number is called a perfect cube if it is the cube of some. some natural number.

A natural number is called a perfect cube if it is the cube of some. some natural number. A natural number is called a perfect square if it is the square of some natural number. i.e., if m = n 2, then m is a perfect square where m and n are natural numbers. A natural number is called a perfect

More information

Pellissippi State Middle School Mathematics Competition

Pellissippi State Middle School Mathematics Competition Grade 6 1 Pellissippi State 2009 Middle School Mathematics Competition Sponsored by: Oak Ridge Associated Universities Eighth Grade Scoring Formula: 4R W + 30 Directions: For each problem there are 5 possible

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 8 Test RULES The test consists of 2 multiple choice problems and short answer problems to be done in 40

More information

What is the sum of the positive integer factors of 12?

What is the sum of the positive integer factors of 12? 1. $ Three investors decided to buy a time machine, with each person paying an equal share of the purchase price. If the purchase price was $6000, how much did each investor pay? $6,000 2. What integer

More information

Common Core State Standard I Can Statements 2 nd Grade

Common Core State Standard I Can Statements 2 nd Grade CCSS Key: Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) Measurement and Data (MD) Geometry (G) Common Core State Standard 2 nd Grade Common Core State Standards for Mathematics

More information

UNC Charlotte 2012 Algebra

UNC Charlotte 2012 Algebra March 5, 2012 1. In the English alphabet of capital letters, there are 15 stick letters which contain no curved lines, and 11 round letters which contain at least some curved segment. How many different

More information

1. The sides of a cube are increased by 100%. By how many percent 1. percent does the volume of the cube increase?

1. The sides of a cube are increased by 100%. By how many percent 1. percent does the volume of the cube increase? Blitz, Page 1 1. The sides of a cube are increased by 100%. By how many percent 1. percent does the volume of the cube increase? 2. How many primes are there between 90 and 100? 2. 3. Approximately how

More information

Grade 6 Middle School Mathematics Contest A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot?

Grade 6 Middle School Mathematics Contest A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot? Grade 6 Middle School Mathematics Contest 2004 1 1. A parking lot holds 64 cars. The parking lot is 7/8 filled. How many spaces remain in the lot? a. 6 b. 8 c. 16 d. 48 e. 56 2. How many different prime

More information

UK Junior Mathematical Challenge

UK Junior Mathematical Challenge UK Junior Mathematical Challenge THURSDAY 28th APRIL 2016 Organised by the United Kingdom Mathematics Trust from the School of Mathematics, University of Leeds http://www.ukmt.org.uk Institute and Faculty

More information

UK JUNIOR MATHEMATICAL CHALLENGE. April 25th 2013 EXTENDED SOLUTIONS

UK JUNIOR MATHEMATICAL CHALLENGE. April 25th 2013 EXTENDED SOLUTIONS UK JUNIOR MATHEMATICAL CHALLENGE April 5th 013 EXTENDED SOLUTIONS These solutions augment the printed solutions that we send to schools. For convenience, the solutions sent to schools are confined to two

More information

HIGH SCHOOL - PROBLEMS

HIGH SCHOOL - PROBLEMS PURPLE COMET! MATH MEET April 2013 HIGH SCHOOL - PROBLEMS Copyright c Titu Andreescu and Jonathan Kane Problem 1 Two years ago Tom was 25% shorter than Mary. Since then Tom has grown 20% taller, and Mary

More information

2019 Chapter Competition Countdown Round Problems 1 80

2019 Chapter Competition Countdown Round Problems 1 80 2019 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2019 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company

More information

Reigate Grammar School. 11+ Entrance Examination January 2012 MATHEMATICS

Reigate Grammar School. 11+ Entrance Examination January 2012 MATHEMATICS Reigate Grammar School + Entrance Examination January 0 MATHEMATICS Time allowed: 45 minutes NAME Work through the paper carefully You do not have to finish everything Do not spend too much time on any

More information

Individual 5 th Grade

Individual 5 th Grade Individual 5 th Grade Instructions: Problems 1 10 are multiple choice and count towards your team score. Bubble in the letter on your answer sheet. Be sure to erase all mistakes completely. 1. Which one

More information

Making Middle School Math Come Alive with Games and Activities

Making Middle School Math Come Alive with Games and Activities Making Middle School Math Come Alive with Games and Activities For more information about the materials you find in this packet, contact: Sharon Rendon (605) 431-0216 sharonrendon@cpm.org 1 2-51. SPECIAL

More information

IMLEM Meet #5 March/April Intermediate Mathematics League of Eastern Massachusetts

IMLEM Meet #5 March/April Intermediate Mathematics League of Eastern Massachusetts IMLEM Meet #5 March/April 2013 Intermediate Mathematics League of Eastern Massachusetts Category 1 Mystery You may use a calculator. 1. Beth sold girl-scout cookies to some of her relatives and neighbors.

More information

2018 TAME Middle School Practice State Mathematics Test

2018 TAME Middle School Practice State Mathematics Test 2018 TAME Middle School Practice State Mathematics Test (1) Noah bowled five games. He predicts the score of the next game he bowls will be 120. Which list most likely shows the scores of Kent s first

More information

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament

The Sixth Annual West Windsor-Plainsboro Mathematics Tournament The Sixth Annual West Windsor-Plainsboro Mathematics Tournament Saturday October 27th, 2018 Grade 6 Test RULES The test consists of 25 multiple choice problems and 5 short answer problems to be done in

More information

a. w = 115.2h b. w = 115.2h c. w = 3.75h d. w = 3.75h e. w = h

a. w = 115.2h b. w = 115.2h c. w = 3.75h d. w = 3.75h e. w = h Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power Bowl event. In the event of a tie, questions 31-35 will be used as the tiebreaker. Questions 1 and 2: Pilar is a waitress.

More information

MATHCOUNTS Mock National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU HAVE SET YOUR TIMER TO FORTY MINUTES.

MATHCOUNTS Mock National Competition Sprint Round Problems Name. State DO NOT BEGIN UNTIL YOU HAVE SET YOUR TIMER TO FORTY MINUTES. MATHCOUNTS 2015 Mock National Competition Sprint Round Problems 1 30 Name State DO NOT BEGIN UNTIL YOU HAVE SET YOUR TIMER TO FORTY MINUTES. This section of the competition consists of 30 problems. You

More information

Pascal Contest (Grade 9)

Pascal Contest (Grade 9) The CENTRE for EDUCATION in MATHEMATICS and COMPUTING cemc.uwaterloo.ca Pascal Contest (Grade 9) Thursday, February 20, 201 (in North America and South America) Friday, February 21, 201 (outside of North

More information

Sixteenth Annual Middle School Mathematics Contest

Sixteenth Annual Middle School Mathematics Contest Sixteenth Annual Middle School Mathematics Contest 7 th /8 th Grade Test Round Two, Spring 2018 Before you begin: 1. Please verify that the information on the sticker on your answer sheet is correct. If

More information

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

6 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Sixth Grade Contest 2017 Pellissippi State Math Competition Pellissippi State Middle School Mathematics Competition 6 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response

More information

7. Three friends each order a large

7. Three friends each order a large 005 MATHCOUNTS CHAPTER SPRINT ROUND. We are given the following chart: Cape Bangkok Honolulu London Town Bangkok 6300 6609 5944 Cape 6300,535 5989 Town Honolulu 6609,535 740 London 5944 5989 740 To find

More information

2.NBT.1 20) , 200, 300, 400, 500, 600, 700, 800, NBT.2

2.NBT.1 20) , 200, 300, 400, 500, 600, 700, 800, NBT.2 Saxon Math 2 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

More information

2006 Pascal Contest (Grade 9)

2006 Pascal Contest (Grade 9) Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2006 Pascal Contest (Grade 9) Wednesday, February 22, 2006

More information

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in

The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in The problems in this booklet are organized into strands. A problem often appears in multiple strands. The problems are suitable for most students in Grade 7 or higher. Problem C Totally Unusual The dice

More information

International mathematical olympiad Formula of Unity / The Third Millenium 2013/2014 year

International mathematical olympiad Formula of Unity / The Third Millenium 2013/2014 year 1st round, grade R5 * example, all years from 1988 to 2012 were hard. Find the maximal number of consecutive hard years among the past years of Common Era (A.D.). 2. There are 6 candles on a round cake.

More information

DCSD Common Core State Standards Math Pacing Guide 2nd Grade Trimester 1

DCSD Common Core State Standards Math Pacing Guide 2nd Grade Trimester 1 Trimester 1 OA: Operations and Algebraic Thinking Represent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve oneand two-step word problems involving

More information

SECTION 2 Time 25 minutes 18 Questions

SECTION 2 Time 25 minutes 18 Questions SECTION Time 5 minutes 8 Questions Turn to Section (page 4) of our answer sheet to answer the questions in this section. Directions: This section contains two tpes of questions. You have 5 minutes to complete

More information