Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 832 · 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.Which fraction is greater: 1/9 or 5/7? (a) 5/7 (b) 1/9 (c) They are equal
2. 2.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 54 (b) 75 (c) 39 (d) 18
3. 3.Today is Monday. What day of the week will it be after 65 days? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
4. 4.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 40%
5. 5.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 38 sq cm (c) 19 sq cm (d) 75 sq cm
6. 6.In how many years will ₹9500 earn ₹380 simple interest at 2% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
7. 7.The simple interest on ₹5500 for 2 years is ₹220. What is the rate per year? (a) 4% (b) 3% (c) 1% (d) 2%
8. 8.If 6x + 7 = 4x + 31, what is x? (a) 19 (b) 12 (c) 14 (d) 13
9. 9.The simple interest on ₹8500 for 3 years is ₹2040. What is the rate per year? (a) 9% (b) 24% (c) 8% (d) 7%
10. 10.What is the remainder when 182 is divided by 5? (a) 3 (b) 4 (c) 2 (d) 1
11. 11.What is the units digit of 2^54? (a) 8 (b) 2 (c) 4 (d) 6
12. 12.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 6 : ? (a) 164 (b) 217 (c) 6 (d) 216
13. 13.₹396 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹44 (b) ₹198 (c) ₹176 (d) ₹220
14. 14.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 75%
15. 15.5.53 + 8.6 = ? (a) 14.13 (b) 14.23 (c) 6.39 (d) 14.03
16. 16.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
17. 17.A bag marked ₹1200 is sold at a 40% discount. What is its selling price? (a) ₹720 (b) ₹480 (c) ₹1680 (d) ₹1160
18. 18.2.32 + 3.1 = ? (a) 5.32 (b) 5.42 (c) 5.52 (d) 2.63
19. 19.A bag marked ₹1000 is sold at a 20% discount. What is its selling price? (a) ₹200 (b) ₹1200 (c) ₹980 (d) ₹800
20. 20.What is the average of all the whole numbers from 18 to 36? (a) 18 (b) 27 (c) 28 (d) 9
21. 21.Today is Thursday. What day of the week will it be after 63 days? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
22. 22.If 14 March is a Friday, what day of the week is 2 April? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
23. 23.What is the simple interest on ₹4000 at 9% per year for 4 years? (a) ₹5440 (b) ₹1800 (c) ₹360 (d) ₹1440
24. 24.If 7 notebooks cost ₹175, how much do 3 notebooks cost? (a) ₹75 (b) ₹100 (c) ₹525 (d) ₹171
25. 25.Every pair follows the same rule: 2 : 18, 4 : 36, 5 : 45. What is 9 : ? (a) 25 (b) 81 (c) 80 (d) 82
26. 26.If 29 April is a Tuesday, what day of the week is 6 May? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
27. 27.If 14 April is a Thursday, what day of the week is 6 May? (a) Sunday (b) Friday (c) Thursday (d) Saturday
28. 28.₹315 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹280 (b) ₹245 (c) ₹35 (d) ₹70
29. 29.What is 1/4 of 36? (a) 9 (b) 18 (c) 10 (d) 27
30. 30.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 24 cm (d) 26 cm
31. 31.7 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 13 days (b) 8 days (c) 7 days (d) 6 days
32. 32.Which is the smallest: 0.751, 0.089, 0.83, 0.8? (a) 0.751 (b) 0.089 (c) 0.83 (d) 0.8
33. 33.What is 3/5 of 15? (a) 3 (b) 9 (c) 6 (d) 12
34. 34.A teacher has 14 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 112 (c) 1 (d) 14
35. 35.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 36% (b) 25% (c) 15% (d) 20%
36. 36.Every pair follows the same rule: 2 : 2, 4 : 14, 8 : 62. What is 6 : ? (a) 38 (b) 34 (c) 35 (d) 6
37. 37.What is the average of 26, 17, 28 and 17? (a) 22 (b) 21 (c) 23 (d) 24
38. 38.What is the smallest number you must add to 121 to make it divisible by 5? (a) 1 (b) 4 (c) 2 (d) 3
39. 39.5.96 + 5.5 = ? (a) 11.56 (b) 11.36 (c) 11.46 (d) 6.51
40. 40.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 72 (b) 18 (c) 56 (d) 58

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