Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 459 · 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.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
2. 2.If 9x − 7 = 11, what is x? (a) 3 (b) 1 (c) 18 (d) 2
3. 3.What is the simple interest on ₹1500 at 5% per year for 2 years? (a) ₹1650 (b) ₹75 (c) ₹150 (d) ₹225
4. 4.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
5. 5.The simple interest on ₹6500 for 3 years is ₹1170. What is the rate per year? (a) 5% (b) 7% (c) 6% (d) 18%
6. 6.Which of these numbers is divisible by 11? (a) 9367 (b) 9342 (c) 9350 (d) 9359
7. 7.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 30% (b) 50% (c) 20% (d) 25%
8. 8.Which fraction is greater: 3/5 or 6/7? (a) 6/7 (b) 3/5 (c) They are equal
9. 9.What is 10% of 160? (a) 144 (b) 160 (c) 16 (d) 32
10. 10.7.92 + 1.4 = ? (a) 8.06 (b) 9.22 (c) 9.32 (d) 9.42
11. 11.What is the remainder when 158 is divided by 7? (a) 5 (b) 4 (c) 6 (d) 3
12. 12.What is the remainder when 139 is divided by 7? (a) 5 (b) 4 (c) 1 (d) 6
13. 13.Today is Thursday. What day of the week will it be after 32 days? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
14. 14.What is the units digit of 7^40? (a) 3 (b) 9 (c) 7 (d) 1
15. 15.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 50 (b) 525 (c) 105 (d) 210
16. 16.The simple interest on ₹6000 for 5 years is ₹2100. What is the rate per year? (a) 7% (b) 6% (c) 35% (d) 8%
17. 17.₹66 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹36 (b) ₹30 (c) ₹6 (d) ₹33
18. 18.Which is the smallest: 0.091, 0.2, 0.121, 0.28? (a) 0.091 (b) 0.2 (c) 0.121 (d) 0.28
19. 19.₹7500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹9000 (b) ₹1500 (c) ₹9750 (d) ₹8250
20. 20.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 135 min (c) 24 min (d) 3 min
21. 21.A shopkeeper buys a toy for ₹360 and sells it for ₹306. What is his loss percent? (a) 54% (b) 20% (c) 10% (d) 15%
22. 22.If 14 March is a Wednesday, what day of the week is 23 March? (a) Saturday (b) Thursday (c) Sunday (d) Friday
23. 23.In how many years will ₹9500 earn ₹1520 simple interest at 8% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
24. 24.Every pair follows the same rule: 2 : 12, 6 : 36, 7 : 42. What is 8 : ? (a) 18 (b) 48 (c) 47 (d) 49
25. 25.A bag marked ₹800 is sold at a 15% discount. What is its selling price? (a) ₹680 (b) ₹920 (c) ₹120 (d) ₹785
26. 26.₹8500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹8670 (b) ₹8840 (c) ₹9010 (d) ₹340
27. 27.A teacher has 10 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 35 (c) 10 (d) 1
28. 28.₹7000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹7210 (b) ₹1050 (c) ₹8050 (d) ₹8260
29. 29.What is the value of the digit 5 in 42.519? (a) 0.005 (b) 0.05 (c) 0.5 (d) 5
30. 30.What is the average of 68, 80, 81, 76, 71 and 20? (a) 65 (b) 68 (c) 67 (d) 66
31. 31.Every pair follows the same rule: 4 : 17, 5 : 26, 8 : 65. What is 3 : ? (a) 16 (b) 11 (c) 10 (d) 9
32. 32.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 360 min (c) 42 min (d) 60 min
33. 33.1.89 + 2.1 = ? (a) 2.1 (b) 4.09 (c) 3.99 (d) 3.89
34. 34.What is 15% of 500? (a) 75 (b) 150 (c) 750 (d) 425
35. 35.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 60 sq cm (d) 48 sq cm
36. 36.What is the smallest number you must add to 146 to make it divisible by 5? (a) 3 (b) 1 (c) 4 (d) 2
37. 37.What is 1/3 of 24? (a) 16 (b) 8 (c) 7 (d) 9
38. 38.Today is Tuesday. What day of the week will it be after 44 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
39. 39.If 3x + 13 = 2x + 23, what is x? (a) 2 (b) 11 (c) 10 (d) 36
40. 40.Two ribbons are 49 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 14 cm (c) 49 cm (d) 7 cm

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