Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 239 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.What is the remainder when 622 is divided by 11? (a) 8 (b) 6 (c) 5 (d) 7
2. 2.If 30 September is a Monday, what day of the week is 2 October? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
3. 3.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 27 sq cm (d) 170 sq cm
4. 4.1/2 + 1/2 = ? (a) 1 (b) 1/2 (c) 3/2 (d) 2
5. 5.What is the smallest number you must add to 698 to make it divisible by 12? (a) 10 (b) 9 (c) 11 (d) 2
6. 6.If 3 mangoes cost ₹9, how much do 4 mangoes cost? (a) ₹12 (b) ₹15 (c) ₹36 (d) ₹10
7. 7.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 378 min (b) 3 min (c) 39 min (d) 126 min
8. 8.What is the value of the digit 6 in 74.965? (a) 0.6 (b) 0.06 (c) 6 (d) 0.006
9. 9.4.08 + 6.5 = ? (a) 10.48 (b) 10.68 (c) 10.58 (d) 4.73
10. 10.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
11. 11.Which of these numbers is divisible by 4? (a) 614 (b) 607 (c) 611 (d) 608
12. 12.8.41 + 3.4 = ? (a) 11.91 (b) 8.75 (c) 11.71 (d) 11.81
13. 13.1.34 + 3.1 = ? (a) 4.34 (b) 4.44 (c) 1.65 (d) 4.54
14. 14.₹156 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹78 (b) ₹91 (c) ₹13 (d) ₹65
15. 15.₹559 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹387 (b) ₹430 (c) ₹172 (d) ₹43
16. 16.9.89 + 7.1 = ? (a) 10.6 (b) 16.99 (c) 17.09 (d) 16.89
17. 17.3/5 + 5/6 = ? (a) 22/15 (b) 43/30 (c) 8/11 (d) 7/5
18. 18.Every pair follows the same rule: 4 : 16, 5 : 25, 6 : 36. What is 9 : ? (a) 81 (b) 21 (c) 36 (d) 69
19. 19.3.83 + 2.9 = ? (a) 6.83 (b) 6.73 (c) 6.63 (d) 4.12
20. 20.What is 75% of 860? (a) 1290 (b) 645 (c) 215 (d) 6450
21. 21.3 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 12 days (c) 8 days (d) 7 days
22. 22.What is the smallest number you must add to 508 to make it divisible by 7? (a) 3 (b) 2 (c) 5 (d) 4
23. 23.3.56 + 2.8 = ? (a) 6.26 (b) 6.46 (c) 3.84 (d) 6.36
24. 24.What is the average of all the whole numbers from 24 to 50? (a) 26 (b) 13 (c) 37 (d) 38
25. 25.Every pair follows the same rule: 4 : 16, 5 : 25, 8 : 64. What is 9 : ? (a) 21 (b) 77 (c) 81 (d) 36
26. 26.What is the average of 17, 23, 45, 18 and 52? (a) 33 (b) 31 (c) 32 (d) 30
27. 27.₹192 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹112 (b) ₹16 (c) ₹80 (d) ₹96
28. 28.In how many years will ₹2000 earn ₹1100 simple interest at 11% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
29. 29.What is the remainder when 101 is divided by 5? (a) 4 (b) 0 (c) 2 (d) 1
30. 30.If 31 January is a Thursday, what day of the week is 16 February? (a) Friday (b) Monday (c) Saturday (d) Sunday
31. 31.What is the value of the digit 5 in 76.523? (a) 0.005 (b) 0.5 (c) 0.05 (d) 5
32. 32.If 10 March is a Thursday, what day of the week is 18 April? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
33. 33.What is the value of the digit 7 in 34.875? (a) 7 (b) 0.07 (c) 0.7 (d) 0.007
34. 34.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 31 (b) 44 (c) 90 (d) 30
35. 35.What is the remainder when 102 is divided by 4? (a) 3 (b) 1 (c) 0 (d) 2
36. 36.What is the simple interest on ₹4500 at 11% per year for 2 years? (a) ₹1485 (b) ₹495 (c) ₹5490 (d) ₹990
37. 37.What is the simple interest on ₹1000 at 7% per year for 2 years? (a) ₹140 (b) ₹70 (c) ₹1140 (d) ₹210
38. 38.What is 75% of 200? (a) 1500 (b) 300 (c) 150 (d) 50
39. 39.Which fraction is greater: 1/8 or 3/4? (a) They are equal (b) 3/4 (c) 1/8
40. 40.₹80 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹8 (b) ₹80 (c) ₹40 (d) ₹72

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