HEXAGON. Singapore-Asia Pacific Mathematical Olympiad for Primary Schools (Mock Test for APMOPS 2012) Pham Van Thuan
|
|
- Aldous Ball
- 5 years ago
- Views:
Transcription
1 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. What day of the week will it bee 100 days from now? 2 Ariel purchased a certain amount of apricots. 90% of the apricot weight was water. She dried the apricots until just 60% of the apricot weight was water. 15 kg of water was lost in the process. What was the original weight of the apricots (in kg)? 3 Notice that 1 2 = 1, 1 (2 3) = 2, and 1 (2 (3 4)) = 2. What is the value of 1 (2 (3 ( )))...)? 4 You are preparing skewers of meatballs, where each skewer has either 4 or 6 meatballs on it. Altogether you use 32 skewers and 150 meatballs. How many skewers have only 4 meatballs on them? 5 The numbers 1, 2, 3,..., 100 are written in a row. We first remove the first number and every second number after that. With the remaining numbers, we again remove the first number and every second number after that. We repeat this process until one number remains. What is this number? 6 P and Q are whole numbers so that the ratio P : Q is equal to 2 : 3. If you add 100, 200 to each of P and Q, the new ratio becomes equal to 3 : 4. What is P? Copyright c 2012 HEXAGON 1
2 7 The following figure consists of 3 smaller rectangles and a hexagon whose areas are 18 cm 2, 80 cm 2, 28 cm 2, and 61 cm 2. If all the side-lengths in centimetre of the rectangles and the hexagon are integers, find the area of the shaded region Suppose that a, and b are positive integers, and the four numbers a + b, a b, a b, a b are different and are all positive integers. What is the smallest possible value of a + b? 9 You are given a two-digit positive integer. If you reverse the digits of your number, the result is a number which is 20% larger than your number. What is your number? 10 The number N = consists of 2006 ones. It is exactly divisible by 11. How many zeros are there in the quotient N 11? 11 This mock test, prepared by Thuận from HEXAGON centre in Hanoi, consists of 30 problems. Pupil A gets a score that is an odd multiple of 5 and pupil B gets a score that is a even multiple of 7. The mark of each problem is an integer and each of the two pupils score is an integer the difference of which is 3 and sum is less than 100. Find the higher score of the pupils. 12 In a large hospital with several operating rooms, ten people are each waiting for a 45 minute operation. The first operation starts at 8:00 a.m., the second at 8:15 a.m., and each of the other operations starts at 15 minute intervals thereafter. When does the last operation end? 13 Each of the integers 226 and 318 have digits whose product is 24. How many three-digit positive integers have digits whose product is 24? 2
3 14 A work crew of 3 people requires 20 days to do a certain job. How long would it take a work crew of 4 people to do the same job if each of both crews works at the same rate as each of the others? 15 Each of the nine numbers 1, 2,..., 9 is to be placed inside the cell of the following 3 3 grid once. The product of three numbers in each row and in each column is given: the product of numbers in the first column is 35, the second column is 96, the product of three numbers in the first row is 54, etc. Find the value of p + q p q N is a whole number greater than 2. The six faces of a 5 5 N block of wood are painted red and then the block cut into 25 N1 1 1unit cubes. If exactly 92 unit cubes have exactly two faces painted red, what is N? 17 Eleven people are in a room for a meeting. When the meeting ends, each person shakes hands with each of the other people in the room exactly once. The total number of handshakes that occurs is x. Find the value of x 18 Mark has a bag that contains 3 black marbles, 6 gold marbles, 2 purple marbles, and 6 red marbles. Mark adds a number of white marbles to the bag and tells Susan if she now draws a marble at random from the bag, the probability of it being black or gold is 3 7. The number of white marbles that Mark adds to the bag is n. Find the value of n. 19 A number line has 40 consecutive integers marked on it. If the smallest of these integers is 11, what is the largest? 20 If I add 5 to 1 3 of the number, the result is 1 2 of the number. What is the number? 21 If n is a positive inter such that all the following numbers are prime, find the value of n. 5n 7, 3n 4, 7n + 3, 6n + 1, 9n
4 22 The diagram below shows a trapezium with base AB and CD, ABC = 55. E is inside the trapezium such that AE bisects angle BAD and ED bisects angle ADC. If the measure of DAE is x, find the value of x. A 55 B E D C 23 Let a denote the integer not exceeding a. If n is a whole number, n 2, find p p = n 2 n. 24 How many numbers are there that appear both in the arithmetic sequence 10, 16, 22, 28,..., 1000 and the arithmetic sequence 10, 21, 32, 43,..., 1000? 25 The whole numbers from the set {1, 2, 3,..., 2020} are arranged in the following manner What is the number that will appear directly below the number 2012? 26 In triangle ABC, produce a line from B to AC, meeting at D, and from C to AB, meeting at E. Let BD and CE meet at X. Let triangle BXE have area 4 cm 2, triangle BXC have area 8, and triangle CXD have area 10. Find the area of quadrilateral AEXD. A E D X B C 4
5 27 The length of a rectangle is 1 cm more than twice its width. If the perimeter of the rectangle is 74 cm, what is the area of the rectangle? 28 At Maths Project Olympiad, prize money is awarded for 1st, 2nd and 3rd places in the ratio 3 : 2 : 1. Last year John and Ashley shared third prize equally. What fraction of the total prize money did John receive? 29 A goat is tied to one of the corners of a rectangular barn on a rope that is 50 feet long. The dimensions of the barn are 40 feet by 30 feet. Assuming that the goat can graze wherever its rope allows it to reach, what is the square footage of the grazing area for the goat? 30 Find a nine-digit positive integer, d 1 d 2 d 3 d 4 d 5 d 6 d 7 d 8 d 9 with distinct digits, so that 1 divides d 1, 2 divides d 1 d 2, 3 divides d 1 d 2 d 3,..., 8 divides d 1 d 2 d 3 d 4 d 5 d 6 d 7 d 8, and 9 divides d 1 d 2 d 3 d 4 d 5 d 6 d 7 d 8 d 9. Only digits 1, 2,..., 9 are to be used. 5
6 Answer Key Question Answer Question Answer Question Answer 1 Thursday AM m π
HANOI STAR - APMOPS 2016 Training - PreTest1 First Round
Asia Pacific Mathematical Olympiad for Primary Schools 2016 HANOI STAR - APMOPS 2016 Training - PreTest1 First Round 2 hours (150 marks) 24 Jan. 2016 Instructions to Participants Attempt as many questions
More informationMath 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 informationMeet #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 informationENTRANCE EXAMINATIONS Time allowed: 1 hour and 30 minutes
ENTRANCE EXAMINATIONS 2017 MATHEMATICS FIRST FORM Time allowed: 1 hour and 30 minutes Answer ALL questions. Show all necessary working on the question paper in the spaces provided and write your answers
More informationA = 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 informationMock AMC 10 Author: AlcumusGuy
014-015 Mock AMC 10 Author: AlcumusGuy Proofreaders/Test Solvers: Benq sicilianfan ziyongcui INSTRUCTIONS 1. DO NOT PROCEED TO THE NEXT PAGE UNTIL YOU HAVE READ THE IN- STRUCTIONS AND STARTED YOUR TIMER..
More information32 nd NEW BRUNSWICK MATHEMATICS COMPETITION
UNIVERSITY OF NEW BRUNSWICK UNIVERSITÉ DE MONCTON 32 nd NEW BRUNSWICK MATHEMATICS COMPETITION Friday, May 9, 2014 GRADE 7 INSTRUCTIONS TO THE STUDENT: 1. Do not start the examination until you are told
More informationMarch 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 informationEXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S. TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, 2012
EXCELLENCE IN MATHEMATICS EIGHTH GRADE TEST CHANDLER-GILBERT COMMUNITY COLLEGE S TWELFTH ANNUAL MATHEMATICS CONTEST SATURDAY, JANUARY 21 st, 2012 1. DO NOT OPEN YOUR TEST BOOKLET OR BEGIN WORK UNTIL YOU
More informationAPMOPS 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 informationNRP Math Challenge Club
Week 7 : Manic Math Medley 1. You have exactly $4.40 (440 ) in quarters (25 coins), dimes (10 coins), and nickels (5 coins). You have the same number of each type of coin. How many dimes do you have? 2.
More informationTOURNAMENT ROUND. Round 1
Round 1 1. Find all prime factors of 8051. 2. Simplify where x = 628,y = 233,z = 340. [log xyz (x z )][1+log x y +log x z], 3. In prokaryotes, translation of mrna messages into proteins is most often initiated
More informationUK 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 informationTopic. Easter Intervention. If you have any questions, feel free to
Easter Intervention Foundation Questions Topic Angles Transformations Multiples, Factors, Primes Indices Algebra Area and Perimeter Factions, Decimals and Percentages Ratio Equations Probability Averages
More informationMATHEMATICS MARKS PAGE TOTAL KEY STAGE LEVELS 3 5 TEST A CALCULATOR NOT ALLOWED. First Name. Last Name.
MATHEMATICS KEY STAGE 2 2001 TEST A LEVELS 3 5 CALCULATOR NOT ALLOWED PAGE 3 5 7 9 11 13 15 17 TOTAL MARKS First Name Last Name School Instructions You may not use a calculator to answer any questions
More informationMeet #3 January Intermediate Mathematics League of Eastern Massachusetts
Meet #3 January 2009 Intermediate Mathematics League of Eastern Massachusetts Meet #3 January 2009 Category 1 Mystery 1. How many two-digit multiples of four are there such that the number is still a
More informationTwenty 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 informationUNIVERSITY 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 informationPre-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 informationMETHOD 1: METHOD 2: 4D METHOD 1: METHOD 2:
4A Strategy: Count how many times each digit appears. There are sixteen 4s, twelve 3s, eight 2s, four 1s, and one 0. The sum of the digits is (16 4) + + (8 2) + (4 1) = 64 + 36 +16+4= 120. 4B METHOD 1:
More informationDaniel Plotnick. November 5 th, 2017 Mock (Practice) AMC 8 Welcome!
November 5 th, 2017 Mock (Practice) AMC 8 Welcome! 2011 = prime number 2012 = 2 2 503 2013 = 3 11 61 2014 = 2 19 53 2015 = 5 13 31 2016 = 2 5 3 2 7 1 2017 = prime number 2018 = 2 1009 2019 = 3 673 2020
More informationPascal Contest (Grade 9) Wednesday, February 22, 2006
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 22, 2006 C.M.C.
More information32 nd NEW BRUNSWICK MATHEMATICS COMPETITION
UNIVERSITY OF NEW BRUNSWICK UNIVERSITÉ DE MONCTON 32 nd NEW BRUNSWICK MATHEMATICS COMPETITION Friday, May 9, 2014 GRADE 8 INSTRUCTIONS TO THE STUDENT: 1. Do not start the examination until you are told
More information1. Consider the number 49,752,003,096. (a) Write the number in words. [1] (b) What is the place value of the digit 4 in this number?
Assessment Test for Singapore Primary Mathematics 5A, Standards Edition This test covers material taught in Primary Mathematics 5A, Standards Edition (http://www.singaporemath.com/) 1. Consider the number
More information1. 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 information1. 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 informationInternational Contest-Game MATH KANGAROO Canada, 2007
International Contest-Game MATH KANGAROO Canada, 007 Grade 9 and 10 Part A: Each correct answer is worth 3 points. 1. Anh, Ben and Chen have 30 balls altogether. If Ben gives 5 balls to Chen, Chen gives
More informationThursday 2 November 2017 Morning Time allowed: 1 hour 30 minutes
Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature GCSE MATHEMATICS Foundation Tier Paper 1 Non-Calculator F Thursday 2 November 2017 Morning
More informationDay 1. Mental Arithmetic Questions KS3 MATHEMATICS. 60 X 2 = 120 seconds. 1 pm is 1300 hours So gives 3 hours. Half of 5 is 2.
Mental Arithmetic Questions. The tally chart shows the number of questions a teacher asked in a lesson. How many questions did the teacher ask? 22 KS MATHEMATICS 0 4 0 Level 4 Answers Day 2. How many seconds
More informationMATHEMATICS ON THE CHESSBOARD
MATHEMATICS ON THE CHESSBOARD Problem 1. Consider a 8 8 chessboard and remove two diametrically opposite corner unit squares. Is it possible to cover (without overlapping) the remaining 62 unit squares
More information1. A number when rounded off to the nearest thousand is What is the number? (S) (1) (2) (3) (4)
Questions 1 to 10 carry 1 mark each. Questions 11 to 15 carry 2 marks each. For each question, four options are given. One of them is the correct answer. Make your choice (1, 2, 3 or 4) and shade your
More informationTable of Contents. Table of Contents 1
Table of Contents 1) The Factor Game a) Investigation b) Rules c) Game Boards d) Game Table- Possible First Moves 2) Toying with Tiles a) Introduction b) Tiles 1-10 c) Tiles 11-16 d) Tiles 17-20 e) Tiles
More informationA 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 informationTHE ENGLISH SCHOOL ENTRANCE EXAMINATIONS Time allowed: 1 hour and 30 minutes
THE ENGLISH SCHOOL ENTRANCE EXAMINATIONS 2014 MATHEMATICS FIRST FORM Time allowed: 1 hour and 30 minutes Answer ALL questions. Show all necessary working on the question paper in the spaces provided and
More informationMathematics Paper 2. Stage minutes. Page Mark. Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST
1 55 minutes Mathematics Paper 2 Stage 7 Name.. Additional materials: Ruler Calculator Protractor READ THESE INSTRUCTIONS FIRST Answer all questions in the spaces provided on the question paper. You should
More informationSecond Practice Test 1 Level 5-7
Mathematics Second Practice Test 1 Level 5-7 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
More informationScore. 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 informationMathematical 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(A) $2.53 (B) $5.06 (C) $6.24 (D) $7.42 (E) $8.77
First AMC 10 2000 2 1. In the year 2001, the United States will host the International Mathematical Olympiad. Let I, M, and O be distinct positive integers such that the product I M O = 2001. What is the
More informationUKMT UKMT. Team Maths Challenge 2015 Regional Final. Group Round UKMT. Instructions
Instructions Your team will have 45 minutes to answer 10 questions. Each team will have the same questions. Each question is worth a total of 6 marks. However, some questions are easier than others! Do
More informationEXCELLENCE 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 information1. 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 information7. 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 informationName. Present School. The London Independent Girls Schools Consortium. Group 1. Mathematics Entrance Examination
Name. Present School The London Independent Girls Schools Consortium Group 1 Mathematics Entrance Examination 18 th January 2008 Time allowed: 1 hour 15 minutes Write in pencil. Do all your rough working
More informationUK JUNIOR MATHEMATICAL CHALLENGE May 6th 2011
UK JUNIOR MATHEMATICAL CHALLENGE May 6th 2011 SOLUTIONS These solutions augment the printed solutions that we send to schools. For convenience, the solutions sent to schools are confined to two sides of
More informationGCSE Mathematics Practice Tests: Set 4
GCSE Mathematics Practice Tests: Set 4 Paper 1H (Non-calculator) Time: 1 hour 30 minutes You should have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil,
More information36 th NEW BRUNSWICK MATHEMATICS COMPETITION
UNIVERSITY OF NEW BRUNSWICK UNIVERSITÉ DE MONCTON 36 th NEW BRUNSWICK MATHEMATICS COMPETITION Thursday, May 3 rd, 2018 GRADE 8 INSTRUCTIONS TO THE STUDENT: 1. Do not start the examination until you are
More informationJunior Division. Questions 1 to 10, 3 marks each (A) 1923 (B) 2003 (C) 2013 (D) 2023 (E) 2113 P Q R (A) 40 (B) 90 (C) 100 (D) 110 (E) 120
Junior Division Questions 1 to 10, 3 marks each 1. 1999 + 24 is equal to (A) 1923 (B) 2003 (C) 2013 (D) 2023 (E) 2113 2. P QR is a straight line. Find the value of x. 30 20 10 x P Q R (A) 40 (B) 90 (C)
More informationMATHCOUNTS Chapter Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.
MATHCOUNTS 2006 Chapter Competition Sprint Round Problems 1 0 Name DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of 0 problems. You will have 40 minutes to complete
More informationPaper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7. satspapers.org
Ma KEY STAGE 3 Mathematics test TIER 5 7 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
More informationPaper Reference. Mathematics A Paper 3 (Non Calculator) Intermediate Tier Tuesday 8 June 2004 Afternoon Time: 2 hours
Centre No. Paper Reference Surname Initial(s) Candidate No. 5503 03 Signature Paper Reference(s) 5503/03 Edexcel GCSE Mathematics A 1387 Paper 3 (Non Calculator) Intermediate Tier Tuesday 8 June 2004 Afternoon
More informationSPECIMEN PAPER GROUP E MATHEMATICS
SPECIMEN PAPER GROUP E MATHEMATICS Time Allowed: 45 minutes Name: INSTRUCTIONS You will need a pencil and a ruler. No Calculator allowed. Write your answers in the spaces provided on this paper. Use any
More information6 = Ans. 2. Three black chips have been placed on the game board as shown.
2006 MATHCOUNTS CHAPTER SPRINT ROUND 4. 1 6 6 = Ans. 7 7 1. We have two identical blue boxes and three identical red boxes. The two blue boxes together weigh the same as the three red boxes. The red boxes
More informationUNITED KINGDOM MATHEMATICS TRUST SHUTTLE ROUND. There are 4 rounds to this Shuttle Round. Each round contains a set of four questions.
UNITED KINGDOM MATHEMATICS TRUST SHUTTLE ROUND There are 4 rounds to this Shuttle Round. Each round contains a set of four questions. Each round lasts 8 minutes. Three marks are awarded for every answer
More informationSixth 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 informationWASHINGTON 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 information5 th AMC 10 B How many two-digit positive integers have at least one 7 as a digit? (A) 10 (B) 18 (C) 19 (D) 20 (E) 30
5 th AMC 10 B 004 1. Each row of the Misty Moon Amphitheater has seats. Rows 1 through are reserved for a youth club. How many seats are reserved for this club? (A) 97 (B) 0 (C) 6 (D) 96 (E) 76. How many
More informationApril 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 informationGOING FOR GOLD. Problem Solving Bronze Paper 1. Q Topic My Mark Maximum Marks. 1 Ratio 4. 2 Probability 5. 3 Polygons 4. 4 Area 4.
GOING FOR GOLD Problem Solving Bronze Paper 1 Q Topic My Mark Maximum Marks 1 Ratio 4 2 Probability 5 3 Polygons 4 4 Area 4 5 Pythagoras 5 6 Forming and solving equations 5 7 Percentages 5 8 Circle 4 9
More information2009 Leap Frog Relay Grades 6-8 Part I Solutions
2009 Leap Frog Relay Grades 6-8 Part I Solutions No calculators allowed Correct answer = 4, Incorrect answer =, Blank = 0. How many angles are there in the figure? (a) 4 (b) 6 (c) 7 (d) 8 (e) More than
More informationWhatcom County Math Championship 2016 Individual 4 th Grade
Whatcom County Math Championship 201 Individual 4 th Grade 1. If 2 3 is written as a mixed fraction, what is the difference between the numerator and the denominator? 2. Write 0.92 as a reduced fraction.
More informationMadinaty Language School Math Department 4 th primary Revision sheet 4 th primary Complete : 1) 5 million, 34 thousand,and 18 =.. 2) is the smallest
Madinaty Language School Math Department 4 th primary Revision sheet 4 th primary Complete : 1) 5 million, 34 thousand,and 18 =.. 2) is the smallest prime no. 3) is common factor of all nos. 4) The factors
More informationUK 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 informationMathematical J o u r n e y s. Departure Points
Mathematical J o u r n e y s Departure Points Published in January 2007 by ATM Association of Teachers of Mathematics 7, Shaftesbury Street, Derby DE23 8YB Telephone 01332 346599 Fax 01332 204357 e-mail
More informationUK Junior Mathematical Challenge
UK Junior Mathematical Challenge THURSDAY 27th APRIL 2017 Organised by the United Kingdom Mathematics Trust from the School of Mathematics, University of Leeds Institute and Faculty of Actuaries 1 RULES
More informationPaper 1. Calculator not allowed. Mathematics tests KEY STAGE LEVEL. First name. Middle name. Last name. Date of birth Day Month Year.
Ma KEY STAGE 2 Mathematics tests LEVEL 6 Paper 1 Calculator not allowed First name Middle name 2013 Last name Date of birth Day Month Year School name DfE number 1 A box of crisps contains three different
More informationTest A. Calculator not allowed. Mathematics test. First name. Last name. School. DCSF no. KEY STAGE 2 LEVELS 3 5
Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Test A Calculator not allowed First name Last name School DCSF no. 2010 For marker s use only Page 5 7 9 11 13 15 17 19 21 TOTAL Marks These three children appear
More informationCayley Contest (Grade 10) Thursday, February 25, 2010
Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario Cayley Contest (Grade 10) Thursday, February 2, 2010 Time:
More informationYear 9 mathematics: holiday revision. 2 How many nines are there in fifty-four?
DAY 1 ANSWERS Mental questions 1 Multiply seven by seven. 49 2 How many nines are there in fifty-four? 54 9 = 6 6 3 What number should you add to negative three to get the answer five? -3 0 5 8 4 Add two
More informationjunior Division Competition Paper
A u s t r a l i a n Ma t h e m a t i c s Co m p e t i t i o n a n a c t i v i t y o f t h e a u s t r a l i a n m a t h e m a t i c s t r u s t thursday 5 August 2010 junior Division Competition Paper
More informationHIGH 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 informationUK Junior Mathematical Olympiad 2017
UK Junior Mathematical Olympiad 2017 Organised by The United Kingdom Mathematics Trust Tuesday 13th June 2017 RULES AND GUIDELINES : READ THESE INSTRUCTIONS CAREFULLY BEFORE STARTING 1. Time allowed: 2
More informationQUESTION 4(1) 4(F) 5(1) 5(F) 6(1) 6(F) 7(1) 7(F) VRAAG
MEMORANDUM 20 QUESTION () (F) 5() 5(F) 6() 6(F) 7() 7(F) VRAAG D E C A B B B A 2 B B B B A B C D 2 A B C A E C B B E C C B E E A C 5 C C C E E D A B 5 6 E B D B D C D D 6 7 D C B B D A A B 7 8 B B E A
More information6 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 informationPaper 1. Calculator not allowed. Mathematics tests KEY STAGE LEVEL. First name. Middle name. Last name. Date of birth Day Month Year.
Ma KEY STAGE 2 Mathematics tests LEVEL 6 Paper 1 Calculator not allowed First name Middle name 2012 Last name Date of birth Day Month Year School name DfE number 02 Cleo Jon Runa Instructions You may not
More informationPOST TEST KEY. Math in a Cultural Context*
POST TEST KEY Designing Patterns: Exploring Shapes and Area (Rhombus Module) Grade Level 3-5 Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: POST TEST KEY Grade: Teacher: School:
More information12th Bay Area Mathematical Olympiad
2th Bay Area Mathematical Olympiad February 2, 200 Problems (with Solutions) We write {a,b,c} for the set of three different positive integers a, b, and c. By choosing some or all of the numbers a, b and
More informationDivision of Mathematics Alfred University Alfred, NY 14802
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 information2006 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 informationSample test questions All questions
Ma KEY STAGE 3 LEVELS 3 8 Sample test questions All questions 2003 Contents Question Level Attainment target Page Completing calculations 3 Number and algebra 3 Odd one out 3 Number and algebra 4 Hexagon
More information3301/1F. MATHEMATICS (SPECIFICATION A) 3301/1F Foundation Tier Paper 1 Non-Calculator. General Certificate of Secondary Education June 2004
Surname Other Names Leave blank Centre Number Candidate Number Candidate Signature General Certificate of Secondary Education June 2004 MATHEMATICS (SPECIFICATION A) 3301/1F Foundation Tier Paper 1 Non-Calculator
More informationYou must have: Ruler graduated in centimetres and millimetres, pen, HB pencil, eraser. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel International Primary Curriculum Centre Number Mathematics Year 6 Achievement Test Candidate Number Thursday 4 June 2015 Morning Time: 1 hour Paper
More informationMATHEMATICS TEST SPECIMEN QUESTIONS (calculators not allowed)
MATHEMATICS TEST SPECIMEN QUESTIONS (calculators not allowed) For questions 1 and 2 use the following information: Input Add 5 Divide by 3 Output 1. Find the output when the input is 13 2. Find the input
More informationPaper 1. Mathematics test. Calculator not allowed KEY STAGE TIERS. First name. Last name. School
Ma KEY STAGE 3 TIERS 4 6 2006 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of
More informationExcellence 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 informationEighth 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 informationIf the sum of two numbers is 4 and their difference is 2, what is their product?
1. If the sum of two numbers is 4 and their difference is 2, what is their product? 2. miles Mary and Ann live at opposite ends of the same road. They plan to leave home at the same time and ride their
More information(A) $2.53 (B) $5.06 (C) $6.24 (D) $7.42 (E) $8.77
First MC 0 2000 2 In the year 200, the United States will host the International Mathematical Olympiad Let I, M, and O be distinct positive integers such that the product I M O = 200 What is the largest
More informationUKMT UKMT UKMT. Junior Kangaroo Mathematical Challenge. Tuesday 13th June 2017
UKMT UKMT UKMT Junior Kangaroo Mathematical Challenge Tuesday 3th June 207 Organised by the United Kingdom Mathematics Trust The Junior Kangaroo allows students in the UK to test themselves on questions
More informationMeet #2 November Intermediate Mathematics League of Eastern Massachusetts
Meet #2 November 2007 Intermediate Mathematics League of Eastern Massachusetts Meet #2 November 2007 Category 1 Mystery 1. Han and Sean are playing a game. Han tells Sean to think of a number. Han then
More informationVIETNAM MATHEMATICAL SOCIETY Mathematical Young Talent Search
VIETNAM MATHEMATICAL SOCIETY Mathematical Young Talent Search 1 As shown in the diagram, the lowers are arranged ollowing a pattern: the irst row has 1 lower, the second row has 3 lowers, the third row
More information1999 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 informationUse a pencil. No calculators or protractors or rulers are allowed.
Name: Age: Yrs Mths Group Number: Use a pencil. No calculators or protractors or rulers are allowed. There are 18 questions. Answer all of them if you can. Show all your working in the spaces provided
More informationWinter Quarter Competition
Winter Quarter Competition LA Math Circle (Advanced) March 13, 2016 Problem 1 Jeff rotates spinners P, Q, and R and adds the resulting numbers. What is the probability that his sum is an odd number? Problem
More informationClass : VI - Mathematics
O. P. JINDAL SCHOOL, RAIGARH (CG) 496 001 Phone : 07762-227042, 227293, (Extn. 227001-49801, 02, 04, 06); Fax : 07762-262613; e-mail: opjsraigarh@jspl.com; website : www.opjsrgh.in Class : VI - Mathematics
More informationFirst Name. Last Name. School MATHEMATICS LEVELS KEY STAGE TEST B BORDERLINE CHECK TOTAL CALCULATOR ALLOWED
MATHEMATICS KEY STAGE 2 2003 TEST B LEVELS 3 5 CALCULATOR ALLOWED PAGE 5 7 9 11 13 15 17 19 TOTAL BORDERLINE CHECK MARKS First Name Last Name School Instructions You may use a calculator to answer any
More informationMeet # 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 informationPaper 1. Mathematics test. Calculator not allowed KEY STAGE TIERS. First name. Last name. School
Ma KEY STAGE 3 TIERS 5 7 2006 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of
More informationPart A (C) What is the remainder when is divided by 11? (A) 0 (B) 1 (C) 3 (D) 7 (E) 10 (A) 35 (B) 40 (C) 45 (D) 50 (E) 55
Grade 8, page 1 of 6 Part A 1. The value of ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) is 2 3 4 (A) 11 24 (B) 3 4 (C) 5 2 (D) 3 (E) 73 24 2. What is the remainder when 111 111 111 is divided by 11? (A) 0 (B) 1 (C)
More informationMTEL General Curriculum Mathematics 03 Multiple Choice Practice Test A Debra K. Borkovitz, Wheelock College
MTEL General Curriculum Mathematics 03 Multiple Choice Practice Test A Debra K. Borkovitz, Wheelock College Note: This test is the same length as the multiple choice part of the official test, and the
More information