Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 131 · 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.Every pair follows the same rule: 3 : 7, 5 : 23, 8 : 62. What is 4 : ? (a) 15 (b) 10 (c) 8 (d) 14
2. 2.If 4 mangoes cost ₹76, how much do 10 mangoes cost? (a) ₹760 (b) ₹209 (c) ₹190 (d) ₹82
3. 3.If 9 notebooks cost ₹72, how much do 6 notebooks cost? (a) ₹56 (b) ₹69 (c) ₹48 (d) ₹432
4. 4.If 5x + 16 = 71, what is x? (a) 11 (b) 55 (c) 10 (d) 12
5. 5.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
6. 6.₹387 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹172 (b) ₹43 (c) ₹258 (d) ₹215
7. 7.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 150 sq cm (d) 24 sq cm
8. 8.Every pair follows the same rule: 2 : 3, 4 : 15, 7 : 48. What is 5 : ? (a) 24 (b) 25 (c) 26 (d) 6
9. 9.A bag marked ₹960 is sold at a 15% discount. What is its selling price? (a) ₹144 (b) ₹816 (c) ₹1104 (d) ₹945
10. 10.Which is the smallest: 0.047, 0.6, 0.63, 0.582? (a) 0.047 (b) 0.6 (c) 0.63 (d) 0.582
11. 11.If 17 March is a Sunday, what day of the week is 13 April? (a) Friday (b) Saturday (c) Sunday (d) Monday
12. 12.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
13. 13.What is the simple interest on ₹4500 at 8% per year for 2 years? (a) ₹5220 (b) ₹360 (c) ₹720 (d) ₹1080
14. 14.What is the value of the digit 9 in 28.469? (a) 0.009 (b) 9 (c) 0.09 (d) 0.9
15. 15.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 93 (b) 42 (c) 41 (d) 46
16. 16.If 2 January is a Wednesday, what day of the week is 13 January? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
17. 17.A shopkeeper buys a toy for ₹720 and sells it for ₹1080. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
18. 18.Every pair follows the same rule: 4 : 10, 7 : 13, 9 : 15. What is 3 : ? (a) 10 (b) 9 (c) 11 (d) 8
19. 19.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 320 min (b) 80 min (c) 4 min (d) 36 min
20. 20.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 18 sq cm (d) 36 sq cm
21. 21.Which fraction is greater: 4/11 or 3/4? (a) 4/11 (b) 3/4 (c) They are equal
22. 22.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 30 min (c) 21 min (d) 3 min
23. 23.Two ribbons are 20 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 100 cm (b) 5 cm (c) 20 cm (d) 1 cm
24. 24.₹4000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹1800 (b) ₹4360 (c) ₹6160 (d) ₹5800
25. 25.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 4 min (c) 140 min (d) 560 min
26. 26.What is the average of all the whole numbers from 52 to 58? (a) 56 (b) 6 (c) 55 (d) 3
27. 27.A bag marked ₹960 is sold at a 40% discount. What is its selling price? (a) ₹1344 (b) ₹384 (c) ₹920 (d) ₹576
28. 28.What is the average of all the whole numbers from 20 to 28? (a) 4 (b) 24 (c) 8 (d) 25
29. 29.If 28 August is a Sunday, what day of the week is 11 September? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
30. 30.7.45 + 1.5 = ? (a) 9.05 (b) 7.6 (c) 8.95 (d) 8.85
31. 31.Every pair follows the same rule: 4 : 13, 7 : 16, 8 : 17. What is 6 : ? (a) 15 (b) 16 (c) 17 (d) 14
32. 32.Two ribbons are 70 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 5 cm (c) 70 cm (d) 560 cm
33. 33.If 15 October is a Thursday, what day of the week is 31 October? (a) Monday (b) Friday (c) Saturday (d) Sunday
34. 34.If x/3 + 14 = 22, what is x? (a) 24 (b) 108 (c) 8 (d) 52
35. 35.₹5500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹6985 (b) ₹6490 (c) ₹990 (d) ₹5995
36. 36.Every pair follows the same rule: 3 : 13, 8 : 23, 9 : 25. What is 6 : ? (a) 16 (b) 20 (c) 19 (d) 18
37. 37.In how many years will ₹4000 earn ₹1200 simple interest at 6% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
38. 38.If 5x + 8 = 83, what is x? (a) 14 (b) 75 (c) 16 (d) 15
39. 39.Which is the smallest: 0.73, 0.661, 0.019, 0.7? (a) 0.73 (b) 0.661 (c) 0.019 (d) 0.7
40. 40.A bag marked ₹960 is sold at a 10% discount. What is its selling price? (a) ₹950 (b) ₹1056 (c) ₹864 (d) ₹96

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