Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 964 · 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.In how many years will ₹2000 earn ₹180 simple interest at 3% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
2. 2.A teacher has 20 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 16 (c) 2 (d) 4
3. 3.Today is Saturday. What day of the week will it be after 68 days? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
4. 4.If 10 November is a Wednesday, what day of the week is 19 December? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
5. 5.What is the smallest number you must add to 94 to make it divisible by 6? (a) 4 (b) 2 (c) 3 (d) 1
6. 6.What is the average of all the whole numbers from 55 to 69? (a) 7 (b) 63 (c) 62 (d) 14
7. 7.Today is Thursday. What day of the week will it be after 25 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
8. 8.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) 105 min (b) 3 min (c) 315 min (d) 36 min
9. 9.The simple interest on ₹3000 for 2 years is ₹660. What is the rate per year? (a) 11% (b) 22% (c) 10% (d) 12%
10. 10.If 4x + 11 = 31, what is x? (a) 6 (b) 20 (c) 5 (d) 4
11. 11.What is 1/2 of 24? (a) 12 (b) 11 (c) 24 (d) 13
12. 12.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) 60 min (b) 42 min (c) 6 min (d) 360 min
13. 13.What is 2/3 of 27? (a) 27 (b) 9 (c) 18 (d) 19
14. 14.Which of these numbers is divisible by 8? (a) 5848 (b) 5855 (c) 5843 (d) 5861
15. 15.If 4x + 14 = x + 29, what is x? (a) 5 (b) 3 (c) 7 (d) 6
16. 16.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 6 : ? (a) 36 (b) 12 (c) 8 (d) 30
17. 17.A bag marked ₹1920 is sold at a 20% discount. What is its selling price? (a) ₹1536 (b) ₹2304 (c) ₹384 (d) ₹1900
18. 18.If 17 April is a Friday, what day of the week is 7 May? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
19. 19.If 3x + 18 = 2x + 19, what is x? (a) 37 (b) 2 (c) 1 (d) 3
20. 20.Every pair follows the same rule: 2 : 2, 4 : 14, 7 : 47. What is 5 : ? (a) 24 (b) 5 (c) 23 (d) 25
21. 21.7.39 + 6.6 = ? (a) 14.09 (b) 13.89 (c) 13.99 (d) 8.05
22. 22.If 2 December is a Sunday, what day of the week is 15 December? (a) Monday (b) Friday (c) Sunday (d) Saturday
23. 23.Which is the greatest: 0.673, 0.77, 0.7, 0.032? (a) 0.673 (b) 0.77 (c) 0.7 (d) 0.032
24. 24.Every pair follows the same rule: 2 : 12, 3 : 17, 5 : 33. What is 6 : ? (a) 44 (b) 36 (c) 41 (d) 16
25. 25.What is the average of 27, 42, 24 and 51? (a) 35 (b) 48 (c) 37 (d) 36
26. 26.If 8x + 27 = 115, what is x? (a) 12 (b) 11 (c) 10 (d) 88
27. 27.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 18 days (b) 7 days (c) 6 days (d) 10 days
28. 28.8.22 + 6.7 = ? (a) 14.92 (b) 15.02 (c) 14.82 (d) 8.89
29. 29.A shopkeeper buys a toy for ₹220 and sells it for ₹308. What is his profit percent? (a) 45% (b) 88% (c) 40% (d) 35%
30. 30.If 6x − 27 = 15, what is x? (a) 7 (b) 42 (c) 8 (d) 6
31. 31.8.62 + 4.1 = ? (a) 12.82 (b) 12.72 (c) 12.62 (d) 9.03
32. 32.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 27 cm (c) 54 cm (d) 140 cm
33. 33.What is the average of all the whole numbers from 17 to 53? (a) 36 (b) 35 (c) 34 (d) 18
34. 34.Which of these numbers is divisible by 11? (a) 4996 (b) 5005 (c) 5007 (d) 5019
35. 35.Which fraction is greater: 1/5 or 2/7? (a) 1/5 (b) They are equal (c) 2/7
36. 36.Today is Friday. What day of the week will it be after 64 days? (a) Friday (b) Monday (c) Sunday (d) Saturday
37. 37.Every pair follows the same rule: 3 : 17, 7 : 57, 8 : 72. What is 6 : ? (a) 45 (b) 20 (c) 42 (d) 44
38. 38.A teacher has 21 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 35 (c) 1 (d) 7
39. 39.Every pair follows the same rule: 2 : 16, 5 : 28, 8 : 40. What is 6 : ? (a) 33 (b) 20 (c) 32 (d) 48
40. 40.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 84% (b) 30% (c) 35% (d) 25%

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