# SOF - IMO Level 2 Sample Papers for Class 6

Class 6 sample paper & practice questions for the level 2 of International Mathematics Olympiad (IMO) are given below. Syllabus for level 2 is also mentioned for these exams. You can refer these sample paper & quiz for preparing for the exam. Q.1 Q.2 Q.3 Q.4 Q.5 Q.6 Q.7 Q.8 Q.9 Q.10
 Q.1 If 3(x - y) = 27 and 3(x + y) = 243, then find the value of x? a) 0 b) 2 c) 4 d) 6
 Q.2 George bought the following things when he got his first salary:A camera for Rs. 2171.05Some clothes for Rs. 6149.25An air conditioner for Rs. 16810.80If his salary is Rs. 70000, how much money is he left with after all the shopping? a) Rs 44876.25 b) Rs 44870.10 c) Rs 44869 d) Rs 44868.90
 Q.3 Simplify:x2 + 5y2 + 3xy + 6x - 7y + 8 - [ 12x2 - { 14x2 - 9y2 + 4xy + 3x + 9 } ] a) 3x2 - 4y2 + 7xy - 9x - 7y + 17 b) 3x2 - 4y2 - 7xy + 9x - 7y + 17 c) 3x2 - 4y2 + 7xy + 9x - 7y + 17 d) 3x2 - 4y2 + 7xy + 9x - 7y - 17
 Q.4 Students of class 8 took a test and got the following marks67,82,55,31,17,54,77,26,39,52,78,48,40,31,77,84,56,59,68,50,73,59,33,71,70,80If we put the marks in various ranges like 10-19, 20-29, 30-39 and so on, in which range would the most number of students have gotten marks? a) (30 - 39) b) (40 - 49) c) (50 - 59) d) (10 - 19)
 Q.5 Observe the following patterns.51+52+53+54+55+56+57+58+59+60=55561+62+63+64+65+66+67+68+69+70=65571+72+73+74+75+76+77+78+79+80=75581+82+83+84+85+86+87+88+89+90=85591+92+93+94+95+96+97+98+99+100=955101+102+103+104+105+106+107+108+109+110=1055The sum of the numbers from 591 to 600 will be? a) 9555 b) 7955 c) 6955 d) 5955
 Q.6 The sum of the digits of two-digit number is 10, while when the digits are reversed, the number decrease by 54. Find the changed number? a) 19 b) 37 c) 46 d) 28
 Q.7 If lines XY and MN intersects as shown below and a:b= 1:2. Find c? a) 120 b) 126 c) 110 d) 122
 Q.8 Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.What is the percentage of marks obtained by the student in the periodical exams of August, 01 and Oct, 01 taken together? a) 73.25% b) 77% c) 78.75% d) 75.50%
 Q.9 Which of the following number is completely divisble by 9? a) 15287 b) 152658 c) 15267 d) 152638
 Q.10 Solve the following:(35423 + 7164 + 41720) - (317 x 89) =? a) 84307 b) 50694 c) 28213 d) 56094