Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 331 · 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.Today is Tuesday. What day of the week will it be after 57 days? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
2. 2.If 9x + 16 = 5x + 36, what is x? (a) 13 (b) 6 (c) 5 (d) 7
3. 3.A bag marked ₹920 is sold at a 25% discount. What is its selling price? (a) ₹1150 (b) ₹230 (c) ₹690 (d) ₹895
4. 4.Which is the greatest: 0.476, 0.58, 0.5, 0.018? (a) 0.476 (b) 0.58 (c) 0.5 (d) 0.018
5. 5.Which fraction is greater: 9/10 or 2/3? (a) 2/3 (b) They are equal (c) 9/10
6. 6.A bag marked ₹1780 is sold at a 40% discount. What is its selling price? (a) ₹1740 (b) ₹1068 (c) ₹2492 (d) ₹712
7. 7.Which of these numbers is divisible by 11? (a) 2158 (b) 2187 (c) 2168 (d) 2167
8. 8.A teacher has 12 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 30 (c) 3 (d) 12
9. 9.A teacher has 12 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 48 (c) 4 (d) 2
10. 10.₹110 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹110 (b) ₹55 (c) ₹88 (d) ₹22
11. 11.If 6x + 21 = 69, what is x? (a) 8 (b) 48 (c) 9 (d) 15
12. 12.What is the simple interest on ₹1000 at 2% per year for 3 years? (a) ₹1060 (b) ₹60 (c) ₹80 (d) ₹20
13. 13.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 10 days (c) 1 day (d) 16 days
14. 14.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 73 (b) 63 (c) 20 (d) 58
15. 15.What is the simple interest on ₹2500 at 11% per year for 4 years? (a) ₹3600 (b) ₹275 (c) ₹1375 (d) ₹1100
16. 16.Which fraction is greater: 6/7 or 7/12? (a) 7/12 (b) They are equal (c) 6/7
17. 17.What is the simple interest on ₹1500 at 8% per year for 4 years? (a) ₹480 (b) ₹600 (c) ₹1980 (d) ₹120
18. 18.If 23 June is a Monday, what day of the week is 17 July? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
19. 19.What is the simple interest on ₹6500 at 9% per year for 2 years? (a) ₹1755 (b) ₹585 (c) ₹7670 (d) ₹1170
20. 20.If 8x − 48 = 56, what is x? (a) 1 (b) 14 (c) 104 (d) 13
21. 21.The simple interest on ₹8000 for 2 years is ₹480. What is the rate per year? (a) 3% (b) 4% (c) 6% (d) 2%
22. 22.If 10 December is a Sunday, what day of the week is 20 December? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
23. 23.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 135 cm (c) 48 cm (d) 24 cm
24. 24.A shopkeeper buys a toy for ₹800 and sells it for ₹640. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
25. 25.₹5500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹5665 (b) ₹5995 (c) ₹6160 (d) ₹495
26. 26.If 2 January is a Thursday, what day of the week is 16 January? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
27. 27.Which fraction is greater: 5/8 or 2/3? (a) They are equal (b) 2/3 (c) 5/8
28. 28.A shopkeeper buys a toy for ₹900 and sells it for ₹1260. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
29. 29.Every pair follows the same rule: 2 : 14, 5 : 26, 8 : 38. What is 9 : ? (a) 63 (b) 43 (c) 21 (d) 42
30. 30.5.89 + 6.6 = ? (a) 12.59 (b) 12.39 (c) 12.49 (d) 6.55
31. 31.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
32. 32.What is the simple interest on ₹1000 at 2% per year for 4 years? (a) ₹20 (b) ₹100 (c) ₹1080 (d) ₹80
33. 33.If 6x − 9 = 51, what is x? (a) 10 (b) 11 (c) 7 (d) 60
34. 34.6.73 + 4.1 = ? (a) 10.73 (b) 7.14 (c) 10.93 (d) 10.83
35. 35.If 9x − 8 = 37, what is x? (a) 6 (b) 45 (c) 5 (d) 4
36. 36.₹253 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹138 (b) ₹23 (c) ₹115 (d) ₹161
37. 37.If 2 mangoes cost ₹14, how much do 6 mangoes cost? (a) ₹49 (b) ₹18 (c) ₹84 (d) ₹42
38. 38.In how many years will ₹6000 earn ₹1440 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 2 years (d) 1 year
39. 39.Every pair follows the same rule: 4 : 32, 8 : 64, 9 : 72. What is 5 : ? (a) 41 (b) 40 (c) 33 (d) 39
40. 40.In how many years will ₹6500 earn ₹3575 simple interest at 11% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years

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