SOF - IMO Level 2 Sample Papers for Class 5

Class 5 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.

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Sample Questions from Olympiad Success:

Q.1

Q.2

Q.3

Q.4

Q.5

Q.6

Q.7

Q.8

Q.9

Q.10

Q.1	There is a park in our area and the park authorities want to bound the park with the fencing. What will be the total cost of the fencing if 1 cm of fencing will cost them Rs. 150 and the park is 141 cm long and 54 cm wide?
a)	Rs. 59,000
b)	Rs. 52,500
c)	Rs. 59,500
d)	Rs. 58,500

Q.2	Take away one-hundredths seven times from 1 and find the remainder.
a)	0.43
b)	0.93
c)	0.7
d)	0.3

Q.3	There are two teams of two people each competing in a relay race. The race is for 1 km and each member of a team has to run 500 m. Sita and Sachin are in one team, and the Tina twins form the second team. Sita can run 500 m in 1 ²/₃ minutes. Sachin can run 500 m in 1 ⁵⁹/₆₀ minutes. Each of the Tina twins can run 500 m in 1 ¹⁹/₃₀ minutes. Which pair wins the race and by how much time?
a)	Tina twins win the race by 23 seconds
b)	Tina twins win the race by 31 seconds
c)	Sita and Sachin win the race by 31 seconds
d)	Sita and Sachin win the race by 23 seconds

Q.4	The juice cart sold 124.94 litres of grape juice on Wednesday and 17.47 litres more than this quantity on Thursday. The following day, 19.86 litres less grape juice was sold than the quantity sold on Thursday. How many litres of grape juice were sold on Friday?
a)	123.95 litres
b)	122.9 litres
c)	122.55 litres
d)	122.81 litres

Q.5	Asha was not feeling good. She went to the doctor. The doctor said her body temperature is 3 degrees more than the normal body temperature. He gave her medicine which brought her body temperature 6 degrees less than the current body temperature and 3 degrees less than the normal body temperature. Find her current temperature:
a)	35℃
b)	37℃
c)	34℃
d)	33℃

Q.6	Asha has a farm in which she grows only apples. In this year she has grown 392,600 apples. She needs to pack them to send it to the city. It took 1208 boxes to pack them all. How many apples were packed in 1 box?
a)	365
b)	355
c)	325
d)	310

Q.7	Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now?
a)	864
b)	865
c)	800
d)	850

Q.8	SKF theatre bought a movie license for Rs. 1,500 per week. The cost of keeping the stuff and the hall is Rs. 20,000 per month. If they charge Rs. 10 per seat, then how many people would have to see the movie in the first four weeks in order for them to recoup the costs?
a)	1600
b)	5200
c)	3200
d)	2600

Q.9	Which of the following options are the prime numbers between 30 and 40?
a)	31, 37
b)	31, 33, 37
c)	31, 35, 37
d)	31, 39

Q.10	Fill in the blank: In the field of Roman Numerals, there is a symbol called 'bar'. If it is placed over a numeral, then it is multiplied by _____.
a)	1
b)	10
c)	100
d)	1000

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Answers to Sample Questions from Olympiad Success:

Q.1 )d	Q.2 )b	Q.3 )a	Q.4 )c	Q.5 )c	Q.6 )c	Q.7 )a	Q.8 )d	Q.9 )a	Q.10 )d

Answers to Sample Questions from Olympiad Success:

Q.1 : d | Q.2 : b | Q.3 : a | Q.4 : c | Q.5 : c | Q.6 : c | Q.7 : a | Q.8 : d | Q.9 : a | Q.10 : d

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