Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 163 · 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 simple interest on ₹7500 at 10% per year for 3 years? (a) ₹2250 (b) ₹750 (c) ₹9750 (d) ₹3000
2. 2.Which fraction is greater: 1/3 or 1/11? (a) They are equal (b) 1/11 (c) 1/3
3. 3.Every pair follows the same rule: 2 : 14, 7 : 49, 9 : 63. What is 8 : ? (a) 57 (b) 55 (c) 20 (d) 56
4. 4.Every pair follows the same rule: 4 : 29, 6 : 39, 9 : 54. What is 3 : ? (a) 28 (b) 23 (c) 24 (d) 25
5. 5.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 21 min (c) 36 min (d) 108 min
6. 6.₹8000 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹4000 (b) ₹12800 (c) ₹12000 (d) ₹8800
7. 7.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 19 days (b) 4 days (c) 3 days (d) 2 days
8. 8.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 6 days (d) 15 days
9. 9.If 7 October is a Friday, what day of the week is 21 October? (a) Thursday (b) Friday (c) Saturday (d) Sunday
10. 10.3/5 + 4/7 = ? (a) 6/5 (b) 41/35 (c) 7/12 (d) 8/7
11. 11.What is the remainder when 89 is divided by 8? (a) 7 (b) 1 (c) 0 (d) 2
12. 12.What is the average of all the whole numbers from 31 to 65? (a) 48 (b) 34 (c) 49 (d) 17
13. 13.In how many years will ₹5000 earn ₹1050 simple interest at 7% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
14. 14.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 14% (b) 10% (c) 6% (d) 5%
15. 15.A teacher has 25 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 25 (c) 20 (d) 5
16. 16.What is the average of all the whole numbers from 42 to 72? (a) 58 (b) 15 (c) 57 (d) 30
17. 17.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 5 min (c) 30 min (d) 25 min
18. 18.If 5x − 15 = 10, what is x? (a) 6 (b) 5 (c) 4 (d) 25
19. 19.Every pair follows the same rule: 2 : 1, 6 : 9, 9 : 15. What is 7 : ? (a) 11 (b) 12 (c) 13 (d) 10
20. 20.If 23 October is a Tuesday, what day of the week is 15 November? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
21. 21.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 16 days (b) 4 days (c) 12 days (d) 5 days
22. 22.₹220 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹110 (b) ₹220 (c) ₹176 (d) ₹44
23. 23.What is the smallest number you must add to 247 to make it divisible by 5? (a) 2 (b) 1 (c) 3 (d) 4
24. 24.Every pair follows the same rule: 3 : 8, 5 : 24, 9 : 80. What is 6 : ? (a) 38 (b) 11 (c) 35 (d) 36
25. 25.What is the average of all the whole numbers from 54 to 70? (a) 62 (b) 8 (c) 63 (d) 16
26. 26.If 4 October is a Thursday, what day of the week is 20 October? (a) Friday (b) Sunday (c) Monday (d) Saturday
27. 27.A bag marked ₹200 is sold at a 15% discount. What is its selling price? (a) ₹230 (b) ₹170 (c) ₹30 (d) ₹185
28. 28.Which fraction is greater: 5/9 or 4/11? (a) 4/11 (b) They are equal (c) 5/9
29. 29.Which of these numbers is divisible by 6? (a) 5364 (b) 5368 (c) 5371 (d) 5359
30. 30.Which of these numbers is divisible by 6? (a) 3016 (b) 3011 (c) 3020 (d) 3012
31. 31.What is the remainder when 526 is divided by 7? (a) 6 (b) 1 (c) 0 (d) 2
32. 32.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 32 cm (d) 34 cm
33. 33.What is 2/3 of 9? (a) 9 (b) 3 (c) 7 (d) 6
34. 34.If 5 March is a Sunday, what day of the week is 21 March? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
35. 35.Which of these numbers is divisible by 3? (a) 2300 (b) 2303 (c) 2297 (d) 2298
36. 36.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 35 min (c) 5 min (d) 60 min
37. 37.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 27 cm (b) 162 cm (c) 45 cm (d) 54 cm
38. 38.If 6 December is a Wednesday, what day of the week is 14 December? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
39. 39.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 9 sq cm (d) 19 sq cm
40. 40.Today is Saturday. What day of the week will it be after 45 days? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday

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