SilverZone iOM Sample Paper Class 11

International Olympiad of Mathematics- iOM’22 CLASS : 11 SAMPLE QUESTIONS The Actual Question Paper Contains 40 Questions. The Duration of the Test Paper is 50 Minutes. 1. The set ‘ ’ is 5. Let two fair six-faced dice A and B be thrown equal to _____. simultaneously. If E1 is the event that die A (A) (B) shows up four, E2 is the event that die B shows (C) (D) up two and E3 is the event that the sum of numbers on both dice is odd, then which one sec 8θ – 1 2. The value of sec 4θ – 1 is equal to ______. of the following statements is not true? (A) E1, E2 and E3 are independent tan 8θ tan 2θ (A) (B) (B) E1 and E3 are independent tan 2θ tan 8θ (C) E2 and E3 are independent tan 8θ tan 4θ (C) (D) (D) E1 and E2 are independent tan 4θ tan 8θ 6. Let S denotes the sum of the series 3. Five students A, B, C, D and E are sitting in a row, D is on the right of E. B is on the left of + ............, then______. E but is on the right of A. D is on the left of C. Who is sitting in the middle? (A) S < 8 (A) A (B) B (B) S > 12 (C) C (C) 8 < S < 12 (D) E (D) 12 < S < 16 4. If f(x) = and g(x) = 2x – 5, then domain of 7. Sum of digits in the unit’s place formed by the (fog) (x) is _______. digits 1, 2, 3 and 4 taken all at a time is ______. (A) 90 (A) (B) (B) 70 (C) 60 (D) 50 (C) (D) 1

International Olympiad of Mathematics- iOM’ 22 8. is equal to ________. 10. Sanjeev walks 10 metres towards the South. Turning to the left, he walks 20 metres and (A) e then moves to his right. After moving a (B) 1 distance of 20 metres, he turns to the right (C) 2 and walks 20 metres. Finally, he turns to the (D) e2 right and moves a distance of 10 metres. How far and in which direction is he from the 9. The negation of is ______. starting point? (A) (A) 10 metres, North (B) 20 metres, South (B) (C) 20 metres, North (C) (D) 10 metres, South (D) ANSWERS 1. (A) 2. (A) 3. (D) 4. (C) 5. (A) 6. (C) 7. (C) 8. (C) 9. (B) 10. (B) 2