SilverZone iOM Sample Paper Class 8

International Olympiad of Mathematics - iOM’ 22 CLASS : 8 SAMPLE QUESTIONS The Actual Question Paper Contains 35 Questions. The Duration of the Test Paper is 40 Minutes. 1. A sum amounts to 7458 in 4 years and 8362 in 6 7. Examine the following three figures given below in years at a certain rate of simple interest. Find the sum. which the number follows a specific pattern: (A) 5630 (B) 5050 (C) 5650 (D) 5030 2. If K = 7 – , then find the value of . (A) (B) (C) (D) The missing number in the third figure given above is ______. 3. If p, q, r and s are four different positive integers (A) 65 (B) 75 (C) 30 (D) 68 selected from 1 to 50, then find the highest possible 8. Read the statements given below: value of . Statement I: (123456 × 123460) > (123458)2 (A) 91 (B) 101 (C) 194 (D) 107 Statement II: (64)13 > (127)11 4. What must be added to the following algebraic Statement III: 432 > 6411 expression to make it a perfect square? Based on the above statements choose the correct option: (A) Only statement I is true (B) Only statement II is true (C) All the statements I, II and III are true (A) (B) 1 (C) 2 (D) (D) All the statements I, II and III are false 5. If the eight digit number 5671a118 is exactly divisible 9. If p : q = 4 : 5, q : r = 6 : 7 and r : s = 3 : 4, then on dividing by 222, then find the least possible value of a. 7733 among p, q, r and s, the amount of q will be: (A) 0 (B) 2 (C) 3 (D) 4 (A) 1710 (B) 1468 6. In the figure given below, PQRS and QMNO are two (C) 1620 (D) 1805 identical squares with side length of 8 cm, and A is the (E) None of these mid-point of PS and MN, find the area of the hexagon 10. The numbers are arranged in the diagram as shown QRSANOQ. below: If the number in any box is equal to the sum of the numbers in the boxes immediately below it, like X = a + (A) 80 cm2 (B) 96 cm2 b, a = c + 24 and so on. Find the value of ‘X’. (C) 112 cm2 (D) 78 cm2 (A) 100 (B) 64 (C) 88 (D) 90 ANSWERS 1. (C) 2. (B) 3. (B) 4. (C) 5. (D) 6. (B) 7. (B) 8. (B) 9. (A) 10. (C) 11