Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 393 · 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.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 2 min (c) 18 min (d) 28 min
2. 2.Every pair follows the same rule: 5 : 25, 6 : 36, 7 : 49. What is 3 : ? (a) 9 (b) 10 (c) 15 (d) 23
3. 3.Which fraction is greater: 1/4 or 9/11? (a) 9/11 (b) 1/4 (c) They are equal
4. 4.If 2x + 25 = 33, what is x? (a) 29 (b) 4 (c) 8 (d) 5
5. 5.A bag marked ₹400 is sold at a 25% discount. What is its selling price? (a) ₹100 (b) ₹500 (c) ₹300 (d) ₹375
6. 6.A shopkeeper buys a toy for ₹840 and sells it for ₹1176. What is his profit percent? (a) 45% (b) 41% (c) 35% (d) 40%
7. 7.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 4 days (d) 6 days
8. 8.Two ribbons are 44 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 55 cm (b) 1 cm (c) 11 cm (d) 44 cm
9. 9.Which of these numbers is divisible by 8? (a) 5015 (b) 5018 (c) 5001 (d) 5008
10. 10.What is 15% of 580? (a) 870 (b) 174 (c) 493 (d) 87
11. 11.The simple interest on ₹1000 for 4 years is ₹240. What is the rate per year? (a) 7% (b) 24% (c) 5% (d) 6%
12. 12.₹462 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹165 (b) ₹33 (c) ₹297 (d) ₹231
13. 13.In how many years will ₹3000 earn ₹480 simple interest at 4% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years
14. 14.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹48 (b) ₹12 (c) ₹60 (d) ₹54
15. 15.Every pair follows the same rule: 3 : 6, 4 : 13, 7 : 46. What is 2 : ? (a) 2 (b) 5 (c) 4 (d) 1
16. 16.What is the remainder when 277 is divided by 7? (a) 6 (b) 5 (c) 4 (d) 3
17. 17.If 6x − 7 = 83, what is x? (a) 16 (b) 15 (c) 90 (d) 14
18. 18.Every pair follows the same rule: 2 : 8, 5 : 20, 7 : 28. What is 4 : ? (a) 10 (b) 17 (c) 16 (d) 15
19. 19.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 18 min (c) 40 min (d) 80 min
20. 20.Two ribbons are 12 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 60 cm (c) 1 cm (d) 12 cm
21. 21.A bag marked ₹260 is sold at a 10% discount. What is its selling price? (a) ₹286 (b) ₹234 (c) ₹250 (d) ₹26
22. 22.In how many years will ₹8500 earn ₹765 simple interest at 3% per year? (a) 6 years (b) 4 years (c) 3 years (d) 2 years
23. 23.What is the simple interest on ₹8000 at 10% per year for 2 years? (a) ₹800 (b) ₹1600 (c) ₹9600 (d) ₹2400
24. 24.If 4 pens cost ₹72, how much do 5 pens cost? (a) ₹73 (b) ₹360 (c) ₹108 (d) ₹90
25. 25.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
26. 26.If 4x + 13 = 61, what is x? (a) 48 (b) 13 (c) 11 (d) 12
27. 27.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 3 (c) 6 (d) 18
28. 28.Every pair follows the same rule: 2 : 7, 3 : 9, 6 : 15. What is 5 : ? (a) 10 (b) 14 (c) 12 (d) 13
29. 29.Today is Sunday. What day of the week will it be after 83 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
30. 30.What is the average of 37, 52, 58 and 57? (a) 51 (b) 52 (c) 68 (d) 50
31. 31.In how many years will ₹10000 earn ₹1800 simple interest at 6% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
32. 32.In how many years will ₹4500 earn ₹1080 simple interest at 12% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years
33. 33.₹144 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹72 (b) ₹120 (c) ₹144 (d) ₹24
34. 34.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 63 sq cm (d) 16 sq cm
35. 35.The simple interest on ₹2500 for 5 years is ₹1375. What is the rate per year? (a) 11% (b) 10% (c) 12% (d) 55%
36. 36.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 11 sq cm (d) 22 sq cm
37. 37.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 378 (b) 9 (c) 3 (d) 54
38. 38.If 2x − 17 = 1, what is x? (a) 10 (b) 9 (c) 18 (d) 8
39. 39.Every pair follows the same rule: 3 : 17, 5 : 33, 7 : 57. What is 4 : ? (a) 24 (b) 21 (c) 18 (d) 25
40. 40.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 54%

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