Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 339 · 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 value of the digit 9 in 27.981? (a) 9 (b) 0.009 (c) 0.9 (d) 0.09
2. 2.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 18 days (d) 8 days
3. 3.Every pair follows the same rule: 2 : 18, 6 : 22, 9 : 25. What is 3 : ? (a) 20 (b) 27 (c) 19 (d) 18
4. 4.Every pair follows the same rule: 2 : 5, 7 : 20, 9 : 26. What is 5 : ? (a) 15 (b) 14 (c) 13 (d) 8
5. 5.What is the average of all the whole numbers from 47 to 61? (a) 55 (b) 54 (c) 7 (d) 14
6. 6.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 16 sq cm (d) 32 sq cm
7. 7.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 8 days (b) 1 day (c) 3 days (d) 2 days
8. 8.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 10 cm (d) 21 cm
9. 9.If 11 May is a Monday, what day of the week is 3 June? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
10. 10.A shopkeeper buys a toy for ₹260 and sells it for ₹325. What is his profit percent? (a) 30% (b) 20% (c) 65% (d) 25%
11. 11.What is the simple interest on ₹1500 at 5% per year for 4 years? (a) ₹375 (b) ₹1800 (c) ₹75 (d) ₹300
12. 12.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 96 min (b) 24 min (c) 4 min (d) 20 min
13. 13.₹49 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹7 (b) ₹49 (c) ₹42 (d) ₹43
14. 14.The simple interest on ₹3500 for 5 years is ₹2100. What is the rate per year? (a) 60% (b) 13% (c) 11% (d) 12%
15. 15.What is 5/9 of 45? (a) 20 (b) 5 (c) 30 (d) 25
16. 16.What is 5% of 300? (a) 30 (b) 150 (c) 285 (d) 15
17. 17.6.98 + 6.1 = ? (a) 12.98 (b) 13.18 (c) 7.59 (d) 13.08
18. 18.Which fraction is greater: 5/12 or 3/7? (a) They are equal (b) 3/7 (c) 5/12
19. 19.Every pair follows the same rule: 2 : 5, 5 : 14, 7 : 20. What is 8 : ? (a) 23 (b) 22 (c) 24 (d) 11
20. 20.If 19 September is a Monday, what day of the week is 3 October? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
21. 21.Which of these numbers is divisible by 6? (a) 353 (b) 346 (c) 348 (d) 358
22. 22.A bag marked ₹1440 is sold at a 50% discount. What is its selling price? (a) ₹720 (b) ₹721 (c) ₹2160 (d) ₹1390
23. 23.If 7x + 20 = 5x + 22, what is x? (a) 1 (b) 21 (c) 2 (d) 3
24. 24.8.41 + 5.2 = ? (a) 8.93 (b) 13.71 (c) 13.61 (d) 13.51
25. 25.Which of these numbers is divisible by 8? (a) 1000 (b) 1007 (c) 998 (d) 1009
26. 26.Today is Thursday. What day of the week will it be after 69 days? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
27. 27.If 8 notebooks cost ₹56, how much do 7 notebooks cost? (a) ₹49 (b) ₹55 (c) ₹56 (d) ₹392
28. 28.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 7 (b) 9 (c) 8 (d) 2
29. 29.A teacher has 15 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 15 (c) 1 (d) 3
30. 30.Which fraction is greater: 1/3 or 5/7? (a) They are equal (b) 5/7 (c) 1/3
31. 31.If 8x + 11 = 27, what is x? (a) 1 (b) 3 (c) 2 (d) 16
32. 32.If 14 January is a Monday, what day of the week is 27 January? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
33. 33.Every pair follows the same rule: 2 : 10, 3 : 11, 6 : 14. What is 9 : ? (a) 18 (b) 17 (c) 45 (d) 16
34. 34.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
35. 35.A teacher has 16 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 24 (c) 4 (d) 8
36. 36.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
37. 37.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 4% (b) 5% (c) 10% (d) 6%
38. 38.Which is the smallest: 0.3, 0.059, 0.36, 0.288? (a) 0.3 (b) 0.059 (c) 0.36 (d) 0.288
39. 39.If 5x + 5 = 55, what is x? (a) 50 (b) 12 (c) 11 (d) 10
40. 40.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 12 (b) 67 (c) 58 (d) 61

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