Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 632 · 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.The simple interest on ₹6500 for 2 years is ₹520. What is the rate per year? (a) 5% (b) 3% (c) 8% (d) 4%
2. 2.What is the remainder when 65 is divided by 3? (a) 0 (b) 1 (c) 2
3. 3.What is the smallest number you must add to 271 to make it divisible by 5? (a) 2 (b) 4 (c) 3 (d) 1
4. 4.In how many years will ₹9500 earn ₹1710 simple interest at 6% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
5. 5.If 4x − 20 = 16, what is x? (a) 10 (b) 9 (c) 36 (d) 8
6. 6.The simple interest on ₹9000 for 4 years is ₹3240. What is the rate per year? (a) 10% (b) 8% (c) 9% (d) 36%
7. 7.If 11 October is a Monday, what day of the week is 24 October? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
8. 8.Which fraction is greater: 1/3 or 1/11? (a) They are equal (b) 1/3 (c) 1/11
9. 9.Every pair follows the same rule: 2 : 4, 3 : 9, 5 : 25. What is 6 : ? (a) 8 (b) 12 (c) 33 (d) 36
10. 10.₹7500 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹7725 (b) ₹8850 (c) ₹8625 (d) ₹1125
11. 11.What is the value of the digit 7 in 37.582? (a) 0.7 (b) 70 (c) 7 (d) 0.07
12. 12.Which is the greatest: 0.25, 0.2, 0.094, 0.117? (a) 0.25 (b) 0.2 (c) 0.094 (d) 0.117
13. 13.Every pair follows the same rule: 2 : 19, 4 : 21, 9 : 26. What is 6 : ? (a) 22 (b) 25 (c) 24 (d) 23
14. 14.What is the average of 62, 64, 45, 43, 63 and 41? (a) 55 (b) 52 (c) 53 (d) 54
15. 15.What is the average of all the whole numbers from 44 to 50? (a) 48 (b) 47 (c) 3 (d) 6
16. 16.Which fraction is greater: 2/3 or 6/11? (a) They are equal (b) 6/11 (c) 2/3
17. 17.What is 2/3 of 9? (a) 7 (b) 3 (c) 9 (d) 6
18. 18.If x/2 + 8 = 11, what is x? (a) 38 (b) 3 (c) 14 (d) 6
19. 19.What is the value of the digit 3 in 16.573? (a) 0.003 (b) 0.03 (c) 3 (d) 0.3
20. 20.What is the units digit of 2^12? (a) 8 (b) 6 (c) 4 (d) 2
21. 21.A bag marked ₹1880 is sold at a 10% discount. What is its selling price? (a) ₹1870 (b) ₹1692 (c) ₹188 (d) ₹2068
22. 22.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 97 (c) 72 (d) 41
23. 23.Every pair follows the same rule: 3 : 10, 5 : 18, 6 : 22. What is 7 : ? (a) 26 (b) 27 (c) 25 (d) 14
24. 24.If 6 August is a Sunday, what day of the week is 22 August? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
25. 25.What is the simple interest on ₹4500 at 8% per year for 2 years? (a) ₹5220 (b) ₹720 (c) ₹360 (d) ₹1080
26. 26.What is the units digit of 7^38? (a) 7 (b) 1 (c) 3 (d) 9
27. 27.Which fraction is greater: 6/11 or 3/8? (a) They are equal (b) 3/8 (c) 6/11
28. 28.A bag marked ₹580 is sold at a 50% discount. What is its selling price? (a) ₹290 (b) ₹291 (c) ₹530 (d) ₹870
29. 29.If 12 May is a Thursday, what day of the week is 26 May? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
30. 30.What is the units digit of 4^22? (a) 7 (b) 6 (c) 4 (d) 5
31. 31.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 41 (b) 51 (c) 39 (d) 14
32. 32.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 5 : ? (a) 35 (b) 30 (c) 19 (d) 25
33. 33.Which fraction is greater: 8/9 or 1/3? (a) 8/9 (b) 1/3 (c) They are equal
34. 34.What is the value of the digit 8 in 24.185? (a) 0.008 (b) 0.8 (c) 0.08 (d) 8
35. 35.9.35 + 1.6 = ? (a) 11.05 (b) 10.85 (c) 9.51 (d) 10.95
36. 36.If 9x + 18 = 8x + 27, what is x? (a) 45 (b) 10 (c) 9 (d) 11
37. 37.9.39 + 4.3 = ? (a) 9.82 (b) 13.79 (c) 13.69 (d) 13.59
38. 38.If 2 mangoes cost ₹14, how much do 7 mangoes cost? (a) ₹56 (b) ₹19 (c) ₹49 (d) ₹98
39. 39.If 17 January is a Thursday, what day of the week is 13 February? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
40. 40.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) 1 (b) 10 (c) 35 (d) 5

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