Write down the answer in the simplest form. If the calculation result is a fraction, please write down the answer as a proper or mixed fraction, decimal figure is also accepted. Marks will NOT be given for incorrect unit. OLYMPIAD CHAMPION EDUCATION CENTRE Room 309-310, 8 Jordan Road, Yau Ma Tei, Kowloon, Hong Kong SAR, CHINA Tel (852) 3153 2028 / 9310 1240 Fax (852) 3153 2074 Website: www.olympiadchampion.com Email: olympiadchampion@gmail.com GUANGDONG-HONG KONG-MACAO GREATER BAY AREA MATHEMATICAL OLYMPIAD 2019 (GREATER BAY AREA REGION) Primary 3 Question Paper Time allowed: 75 minutes Instructions to Contestants: 1. Each contestant should have ONE Question Book which CANNOT be taken away. 2. There are 3 sections in this exam. Section A consists of 10 questions. Each carries 4 marks. Section B consists of 10 questions. Each carries 5 marks. Section C consists of 5 questions. Each carries 7 marks. The total number of questions is 25. Total score is 125 marks. No points are deducted for incorrect answers or empty answers. 3. NO calculators can be used during the contest. All figures in the paper are not necessarily drawn to scale. 4. This Question Book will be collected at the end of the contest. THIS Question Book CANNOT BE TAKEN AWAY. DO NOT turn over this Question Book without approval of the examiner. Otherwise, contestant may be DISQUALIFIED. All answers should be written on the ANSWER SHEET. Write down the answer in the simplest form. If the calculation result is a fraction, please write down the answer as a proper or mixed fraction, decimal figure is also accepted. Marks will NOT be given for incorrect unit. Section A: 1st to 10th Question (Each carries 4 marks) 1) Find the value of 95 90 85 80 75 70 65 60 55 50 45 40            . 2) Find the value of 123456789 987654321  . 3) Find the value of 31 24  . 4) Ming and Yan have 60 books in total. If Ming gives Yan 20 books, then Yan have 4 times more books than Ming. How many books does Ming have originally? 5) How many even numbers are there from 31 to 331 (including the first and the last number)? 6) A 2-digit number divided by 7 then multiplied by 9 still is a 2-digit number. Find the largest value of this number. 7) Find the value of 2012 7 362 7 626 7      . 8) According to the pattern, which number should be filled into the box? 1 、 2 、 4 、 6 、 11 、 20 、 36 、 、 121 、 … 9) Ming‟s age 4 years ago is 3 times of Yan‟s age 10 years ago. Now Ming is 10 years old. What is the age of Yan now? 10) A project with 4 workers requires 10 days to complete. Now we add 1 worker. How many days does it take? Section B: 11th to 20th Question (Each carries 5 marks) 11) Today is Monday. Which day of the week will 343 days later be? 12) Find the value of 1 3 5 ... 13 15 13 ... 5 3 1           . 13) Define the operation symbol a b a b a b a b       , find the value of (4 2) 3   . 14) There are in total of 30 heads and 82 legs in a farm with chickens and rabbits. How many chickens are there? 15) If a positive integer divided by 9 then multiplied by 8 then plus 2 become greater, that integer is called „weird number‟. How many „weird number‟ exist? 16) The sum of A and B is 1457. If A is 30 times of B, find the value of B. 17) There are 9 people and 9 different type of cards. They have different preference and you don‟t know any of them. Now you need to distribute the cards to them. They will leave once they get their favorite cards. At least how many cards do you need to prepare to ensure that they will all leave? 18) It requires 30 minutes to cut a piece of wood into 6 sections. If the time required to cut each section is All answers should be written on the ANSWER SHEET. Write down the answer in the simplest form. If the calculation result is a fraction, please write down the answer as a proper or mixed fraction, decimal figure is also accepted. Marks will NOT be given for incorrect unit. the same, how many sections can be cut in 48 minutes? 19) Find the largest 3-digit odd number can be divisible by both 7 and 5. 20) Refer to the figure below, how many rectangles are there with black dot?  Question 20 Section B: 21st to 25th Question (Each carries 7 marks) 21) 2018abc can be divisible by 3,5,11 and bac   . Find the value of abc   . 22) There are 9 representatives and every 3 of them represent a country. Each time you can ask one of them “does he/she represent A/B/C country?”. At least how many times do you need to ask to ensure you know everyone‟s representation? 23) There are some activities classes including badminton, basketball and football and there are 30 participants in total. Now we have 20 applications of badminton class. Half of applications of basketball also applied badminton class. One third of application of football also applied badminton class. It is known that none of them only apply basketball or football class and each of them can only apply maximum 2 classes. How many participants who only apply badminton class are there? 24) There are 5000 of each red, blue and yellow balls in a bag. Each time you draw a ball randomly from the bag. At least how many times are required to draw to ensure that you have one ball of every color? 25) There is a rectangular garden with length 50 meters and width 30 meters. Now we need to plant tree around this garden and 1 tree for every 1 meter starting from corner. How many seeds we need to prepare? ~ End of Paper ~