Name of the Organisation : City Montessori School
Exam : International Young Mathematicians’ Convention
Level : IYMC Junior Individual
Year : 2012
Document Type : Model & Past Question Papers
Website : http://www.cmseducation.org/
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/13348-IYMCJUNIOR.docx
International Young Mathematicians’ Convention Sample Paper :
1. A watch with an hour hand and a minute hand shows the time as 3:28. How many minutes later will the angle between the two hands be equal to 120??
Related : Department Of Education Himachal Pradesh University Bachelor Of Education Exam Model Question Paper : www.pdfquestion.in/8914.html
2. In the figure below, lines AB, DE and CF are perpendicular to line BD. If AB = 30 and DE = 20, find the length of CF.
3. When 40! is expanded in base 10, what is the tenth digit from the right? (We define n as the product of the integers from 1 to n.)
4. On a street, the houses are all on one side. They are numbered consecutively from 1 to 99. There is a value of x such that 3 times the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find the value of x.
5. The total weight of several stones is 500 kilograms. The lightest ten stones weigh 200 kilograms. The heaviest six stones weigh 145 kilograms. The weights of stones are pairwise different and are not necessary integers. Find the number of stones.
6. Find the number of 10-digit numbers such that each of them is formed by using each of the digits 0 to 9 once, with no digit smaller than both neighbours.
7. A positive integer is said to be curious if it is the smallest of all positive integers with the same sum of digits. If all the curious numbers are arranged in ascending order, what is the 100th number?
8. In triangle ABC, AB = AC. D is a point on AC and E is a point on AB. BD and CE intersect at F. If DBC = 50, ABD = 30, DCE = 20 and ECB = 60, what is the measure of CED, in degree?
Road to Championship :
** The Prize Distribution will be the culminating event of the competition. The Primary, Middle School and Senior Level competitions are independent of each other.
** 5 points will be awarded for each first position, 3 points for each second position and 1 point for each third position.
** The Primary team that accumulates the most points will be declared the Primary Level Champions of IYMC Mathematica 2018.The first runner-up team for the Primary Level will also be declared.
** The Middle School team that accumulates the most points will be declared the Middle School Level Champions of IYMC Mathematica 2018. The first runner-up team for the junior level will also be declared.
** The Senior team that accumulates the most points will be declared the Senior Level Champions of IYMC Mathematica 2018. The first runner-up team for the Senior Level will also be declared.
Rules & Regulations :
** A team participating in the IYMC- Mathematica should consist of eight contestants – two from the Primary Level (10-13 years of age), three for the Middle School Level (14-15 years of age) and three for the Senior Level ( 16-18 years of age and not enrolled for an Undergraduate Programme at a College or University).
** A Teacher-Team Leader must accompany the team. The participation of the Mathematics Teacher as the Team Leader is desirable.
** Competition is open only for Registered schools. Coaching Centres/institutes or tutorials are not eligible for participation.
** As IYMC Mathematica is being organized from the 2nd to the 5th of December, 2018 teams are requested to arrive before 12 noon of 2nd December, 2018. Teams are, however, welcome a day earlier and may leave a day after. We will be happy to extend hospitality to all outstation teams during their entire stay in Lucknow.
** Participating teams with Team Leaders must be present at the venue at all times. The Leaders are responsible for good conduct of their team members.
** Only writing and drawing instruments are permitted at the contest venue. Books, papers, tables, calculators and computers will not be allowed in the examination rooms.
** The participants are required to carry their own stationary kit comprising- blue or black pens, pencil, eraser, sharpener, scale, and black or blue bold marker.
** The participants are expected to be formally dressed in their complete school uniform during the four days of IYMC- Mathematica 2018.
** The i-cards provided at the time of Registration at the venue should be worn throughout the event on their school uniform.
** All participating schools must carry their school flag for representing their school in the procession at the Inaugural ceremony.
Meal Timings : Outstation participants are requested to abide by the following timings for the convenience of the catering staff:-
Breakfast : 07:00 to 07:45 am
Lunch : 01:00 to 02:00 pm
Dinner : 08:30 to 09:30 pm