SilverZone - IOM PDF Sample Papers for Class 10
Class 10 sample paper & practice questions for International Olympiad of Mathematics (IOM) level 1 are given below. Syllabus for level 1 is also mentioned for these exams. You can refer these sample paper & quiz for preparing for the exam.
Q.1 |
In figure AB = 8 cm, BC = 12 cm and AE = 6 cm. Find area of the rectangle BCDE.  |
| a) |
120 cm² |
| b) | 190 cm² |
| c) | 220 cm² |
| d) | 150 cm² |
Q.2 |
A jar containing a mixture of milk and water has 55% milk. A part of this mixture is replaced by another mixture of milk and water having 20% milk. If now the mixture has 35% milk, what fraction of the jar was not replaced? |
| a) |
3/4 |
| b) | 4/7 |
| c) | 3/7 |
| d) | 4/3 |
Q.3 |
Identify the identical figures from the following options given.  |
| a) |
(1, 5, 7), (3, 6, 8), (2, 4, 9) |
| b) | (1, 4, 7), (2, 6, 8), (3, 5, 9) |
| c) | (1, 5, 7), (2, 6, 8), (3, 4, 9) |
| d) | (5, 7, 9), (2, 6, 8), (1, 3, 4) |
Q.4 |
In a certain language, if "chi to le" means "We are citizen" and "chi to nu" means "We are nice", then what word represents the word "nice"? |
| a) | NU |
| b) | EE |
| c) | TU |
| d) | TO |
Q.5 |
A container has milk and water in the ratio 4: 1. The volume of the contents is increased by 40% by adding water to it. From this solution, 5 L are drawn out and replaced with 5 L of milk. If the solution now has five parts milk and three parts water, find the initial volume of the container. |
| a) |
28.56 L |
| b) | 14.28 L |
| c) | 15 L |
| d) | 24 L |
Q.6 |
What is the relation between my daughter and my mother's sister's father-in-law? |
| a) |
father |
| b) | grandfather |
| c) | great grandchild |
| d) | niece |
Q.7 |
If 4th and 8th terms of an A.P. are 11 and 23 respectively, find a and d. |
| a) | a = 2, d = 3 |
| b) | a = 2, d = 2 |
| c) | a = 3, d = 3 |
| d) | a = 1, d = 3 |
Q.8 |
A sum of ₹ 24,000 is divided into two parts P1 and P2, such that the simple interest calculated on P1 for 3 year and on P2 for 4 years are equal. If the rates of interest on P1 and P2 are 4% and 5% respectively, then find the smaller of the parts P1 and P2. |
| a) |
₹ 10,000 |
| b) | ₹ 12,000 |
| c) | ₹ 8000 |
| d) | ₹ 9000 |
Q.9 |
Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. |
| a) | B |
| b) | D |
| c) | C |
| d) | A |
Q.10 |
A batsman played three matches in a tournament. The ratio of the score of 1st to 2nd match was 8: 9 and that of the score of 2nd to 3rd match was 3: 2. The difference between the 1st and the 3rd match was 16 runs. What was the batsman's average score in all three matches? |
| a) |
40 |
| b) | 58 |
| c) | 45 1/5 |
| d) | 61 1/3 |
Your Score: 0/10
Sample PDF of SilverZone - International Olympiad of Mathematics (IOM) PDF Sample Papers for Class 10:
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Answers to Sample Questions from Olympiad Success:
Q.1 : a | Q.2 : a | Q.3 : c | Q.4 : a | Q.5 : a | Q.6 : c | Q.7 : a | Q.8 : d | Q.9 : a | Q.10 : d
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