Đề thi FMO mùa hè 2020 Khối 6 (Kèm đáp án)

 FERMAT Mathematical Olympiad 
 Summer 2020 
 Sample Test 
 Final Round 
 Primary 6 
 Time allowed: 90 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. 
KỲ THI OLYMPIC TOÁN HỌC HÈ - FMO 2020 
Đơn vị tổ chức: Công ty CP Giáo dục FERMAT 
Email: FMO2020.fe@gmail.com Facebook: https://www.facebook.com/FMathO2020 
9) Find the value of 
 3 4 5 6 100
 (2 )(2 )(2 )(2 )...(2 )
 2 3 4 5 99 . 
10) Some students fund money to buy a present. If each pays $6, $5 will be in lack. If 
 each pays $7, $2 will be more. Find the price of the present. 
 Section B: 11th to 20th Question (Each carries 5 marks) 
 1 1 1 1 1 1 1
 ... 
11) Find the value of 2 6 12 20 30 342 380 . (Please use the simplest fraction 
 form to answer) 
12) Ming walks from home to school through point A, B and C. There are 5, 2, 5 paths 
from home to point A, B and C respectively. There are 4, 2, 4 paths from point A, B and C 
to school respectively. How many paths are there from Ming’s home to school? 
13) Find the remainder of 250 divided by 63. 
14) The side length of a square is 4. If the length of the diagonal is the side length of 
another square, find the area of the other square. 
15) Within a grade of students, to make sure that in a leap year, there are at least 3 students 
with the same date of birth, how many students are there at least in this grade? 
16) A book has 500 pages. To number its pages, how many digit “1” we need? 
17) A ferry travels 14km per hour on a flat surface. It travels 112 km from the starting 
 point to the end point, how long does it take the ferry to travel? 
 32011 8 3 2010
 2013 2012
18) The value of 33 is? 
19) 4 boys and 4 girls queue into 2 rows. How many methods are there such that there are 
 2 girls in each row? 
KỲ THI OLYMPIC TOÁN HỌC HÈ - FMO 2020 
Đơn vị tổ chức: Công ty CP Giáo dục FERMAT 
Email: FMO2020.fe@gmail.com Facebook: https://www.facebook.com/FMathO2020 
 Question 25 
 ~ End of Paper ~ 
KỲ THI OLYMPIC TOÁN HỌC HÈ - FMO 2020 
Đơn vị tổ chức: Công ty CP Giáo dục FERMAT 
Email: FMO2020.fe@gmail.com Facebook: https://www.facebook.com/FMathO2020