Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 852 · 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 of these numbers is divisible by 8? (a) 4957 (b) 4969 (c) 4960 (d) 4963
2. 2.If 1 May is a Sunday, what day of the week is 10 May? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
3. 3.7.52 + 6.4 = ? (a) 8.16 (b) 13.82 (c) 14.02 (d) 13.92
4. 4.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 105 min (c) 315 min (d) 36 min
5. 5.If 28 May is a Thursday, what day of the week is 18 June? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
6. 6.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 15% (b) 26% (c) 5% (d) 10%
7. 7.If 5 kites cost ₹100, how much do 10 kites cost? (a) ₹200 (b) ₹1000 (c) ₹220 (d) ₹105
8. 8.What is the simple interest on ₹3500 at 4% per year for 3 years? (a) ₹560 (b) ₹420 (c) ₹140 (d) ₹3920
9. 9.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
10. 10.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 19 sq cm (c) 38 sq cm (d) 51 sq cm
11. 11.Which is the greatest: 0.8, 0.056, 0.735, 0.84? (a) 0.8 (b) 0.056 (c) 0.735 (d) 0.84
12. 12.If 10 July is a Saturday, what day of the week is 18 July? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
13. 13.What is the average of 38, 50, 37, 46 and 44? (a) 43 (b) 44 (c) 45 (d) 42
14. 14.If 2 December is a Sunday, what day of the week is 11 December? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
15. 15.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 54 (c) 74 (d) 30
16. 16.What is 75% of 140? (a) 210 (b) 1050 (c) 105 (d) 35
17. 17.What is the value of the digit 1 in 41.836? (a) 10 (b) 0.01 (c) 0.1 (d) 1
18. 18.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 7 days (c) 2 days (d) 4 days
19. 19.In how many years will ₹4500 earn ₹1215 simple interest at 9% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
20. 20.₹6500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹7800 (b) ₹7475 (c) ₹6825 (d) ₹975
21. 21.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 40 min (c) 2 min (d) 20 min
22. 22.Every pair follows the same rule: 2 : 17, 3 : 21, 7 : 37. What is 9 : ? (a) 45 (b) 46 (c) 44 (d) 24
23. 23.What is 2/9 of 108? (a) 12 (b) 84 (c) 36 (d) 24
24. 24.What is 2/5 of 50? (a) 10 (b) 30 (c) 21 (d) 20
25. 25.If 6 May is a Thursday, what day of the week is 20 May? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
26. 26.5 workers can build a wall in 12 days. How many days will 10 workers take, working at the same speed? (a) 17 days (b) 6 days (c) 7 days (d) 24 days
27. 27.If 12 January is a Monday, what day of the week is 26 January? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
28. 28.What is the value of the digit 6 in 89.716? (a) 0.6 (b) 0.06 (c) 6 (d) 0.006
29. 29.Today is Thursday. What day of the week will it be after 96 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
30. 30.₹1000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹240 (b) ₹1360 (c) ₹1120 (d) ₹1240
31. 31.What is 60% of 520? (a) 624 (b) 208 (c) 3120 (d) 312
32. 32.Which of these numbers is divisible by 8? (a) 6286 (b) 6272 (c) 6269 (d) 6277
33. 33.If 4 July is a Sunday, what day of the week is 12 July? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
34. 34.Every pair follows the same rule: 4 : 28, 6 : 38, 7 : 43. What is 5 : ? (a) 33 (b) 35 (c) 34 (d) 29
35. 35.What is the value of the digit 5 in 93.725? (a) 0.5 (b) 0.005 (c) 0.05 (d) 5
36. 36.A bag marked ₹360 is sold at a 15% discount. What is its selling price? (a) ₹345 (b) ₹54 (c) ₹306 (d) ₹414
37. 37.6.92 + 3.1 = ? (a) 10.12 (b) 9.92 (c) 7.23 (d) 10.02
38. 38.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 45 (b) 40 (c) 75 (d) 35
39. 39.6.41 + 7.4 = ? (a) 13.91 (b) 7.15 (c) 13.71 (d) 13.81
40. 40.If 12 March is a Friday, what day of the week is 25 March? (a) Friday (b) Saturday (c) Wednesday (d) Thursday

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