Math Olympiad Questions

A School at Chennai conducted a maths competition to children of 4-8 th standard. Nearly 8000 children participated from these 5 standards. Lekas son Varun participated in that 2 months back. The results were announced last week. Varun got the 4th rank among 4th standard children and won a cash price of Rs 250 ( so Leka is richer by Rs 250 thro the son and by Rs 7 lakhs thro the stock market boom ) To Sripriya & Leka I am trying to prepare to improve the mental Ability of both Varun and Manoj. Both seem to be extremely bright and are capable. I will send you the progress report daily by mail as an excel file. Please go thro and encourage them. To Meera, Sriram, Anu, Bhanu, Meera’s and Sriram’s children are young. But potential aspirants Anu’s son should be in 8th or 9th grade Bhanus daughter can try Appa 1. Find the value when sum of the greatest 4 digit and 2 digit numbers are subtracted from the sum of the greatest 5 digit , 3 digit and 1 digit number 2. If 2007 October 29 th is Monday, what day will be 2007 October 28th. 3 X65 + 0X8 ======== XX1X X can be any digit from 1 to 9 and not 0 4. If ACF = 136 What will be BED 5. A man walks 5 m north, turns right , walks 3 m, again turns right and continues to walk. In which direction will he be walking. 6.How ill you address the son of your mother’s father? 7. Number 5 X 2 is divisible by both 3 and 4. What is X? 8. What is value of Roman number CCXCIV ? 9.A shop keeper has to give oil to customers as 1 litre, 2,3,4 …. Upto 40 litres in step of 1 litres. He has only 4 measuring jars. What are the capacities of these 4 jars.

1. If 15th Aug 2007 is Wednesday, What day was 15th August 2005? 2. If 10th January 2007 was a wednesday , what day will be 10th March 2007? 3. A rectangular field is 60 m long 40 m wide. A morning walker goes round this field daily 10 times. What is the distance covered by him in a morning. 4. A cyclists cycle tyre is 70 cm diameter. If the cyclist goes from place A to place B and if the tyre rotates 100 revolutions, what is the distance from A to B 5. A railway time table says , a train will start at 1700 hrs and reach another place at 8.00 am the next day. How many hours did the train travel? If the train travels at 50 km an hour, what is the distance covered by the train 6. In a year how many 31 days months and how many 30 days month? 7. The average marks scored by 5 students in a class are 80. If one of the students had 100 marks, what are the average marks scored by the remaining 4 students. ‘============================================================= 8. A +A A Find A

9. A

A

+ B

- 2*B

==== CD

==== C

If D = 0 find A,B,C

10. A + A ========= CD A - A ====== D What is A, C, D

11. TRAT +TRAT ============== RAAM ======== Find T, R, A, M 12. 3 x 9 1 +1 2 8 x +x 1 3 2 ========= 8 7 x 0 13. What is the number between 460 and 480 that is divisible by at is 25 14. What is the smallest number after 100 divisible by 8 15. What is the smallest number that will have a reminder of 1 when divided by either 2 or 3 or 4 or 5 16. What is the smallest number that will have a reminder of 1 when divided by 2, reminder of 2 when divided by 3, reminder of 3 when divided by 4, reminder of 4 when divided by 5.

17. What is the largest 2 digit number having a reminder of 6 when divided by 7. 18. A 3 digit number is divisible by 5 but not by 10. Its hundreds digits place value + Tens digit face value + unit digits place value = 414. What is that 3 digit number.

19.What is the value of CCXCIV 20. Write the smallest and largest numbers using each digit once 7, 0, 4, 8 21. Write the next 2 numbers in the series 7, 12, 17, 22 , 27, 32…. 120, 100, 80, 60, 40, 20…. 2, 6, 18, 54, 54*3=162, 162*3=486 ….. 192, 96, 48, 24, 12, 6…. 2, 22, 222, 2222, 22222 , 222222….. 22. Write the next 2 lines

9

2 8

1 3 7

4 6

5

23. What is 20+18+16+14+12+10+8+6+4+2 -1-3-5-7-9-11-13-15-17-19 24. + = ۞

۞ 0 = ۞

6 ۞ = 1

5 8 = ۞