 # Indian Talent Olympiad - IMO PDF Sample Papers for Class 10

Class 10 sample paper & practice questions for International Maths Olympiad (IMO) 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. #### Resources:

##### 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 What is the probability of getting a total of less than 12 in the throws of two dice? a) 16/36 b) 25/36 c) 35/36 d) 26/36
 Q.2 First term of an A.P. is –2 and 10th term is 28. What is the value of d (common difference)? a) 10/3 b) 10/9 c) 10/6 d) 10/4
 Q.3 If f(x) = x² – 5x – 14, find the value of f(7). a) -1 b) 1 c) 0 d) 3
 Q.4 Find the value of sin² 10⁰ + sin² 80⁰: a) 0 b) 1 c) 2 d) 3
 Q.5 Find out from the four alternatives as to how the pattern would appear when the transparent sheet is folded at the dotted line. a) A b) B c) C d) D
 Q.6 If –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k. a) 9/8 b) 9/4 c) 9/5 d) 9/3
 Q.7 The following question is based on the following alphabet series. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z What should come in place of ?Z, T, ?, H, B a) N b) L c) P d) None of these
 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 What will be the lateral surface area of a cylinder (in terms of radius r) whose height is twice of its radius? a) 2πr3 b) 4πr2 c) 6πr2 d) 8πr2
 Q.10 If x = sin²θ and y = cos²θ +1, then find the value of x + y. a) 0 b) 1 c) 2 d) 3

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##### Answers to Sample Questions from Olympiad Success:
 Q.1 )c Q.2 )a Q.3 )c Q.4 )b Q.5 )d Q.6 )b Q.7 )a Q.8 )d Q.9 )b Q.10 )c

Answers to Sample Questions from Olympiad Success:

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

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