Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 870 · 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 ₹8500 earn ₹680 simple interest at 4% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
2. 2.If 12 March is a Monday, what day of the week is 2 April? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
3. 3.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 100 min (c) 5 min (d) 500 min
4. 4.1.76 + 2.4 = ? (a) 2 (b) 4.06 (c) 4.16 (d) 4.26
5. 5.2.85 + 8.4 = ? (a) 11.35 (b) 3.69 (c) 11.25 (d) 11.15
6. 6.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 80 cm
7. 7.₹168 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹24 (b) ₹84 (c) ₹120 (d) ₹48
8. 8.Every pair follows the same rule: 3 : 18, 6 : 36, 9 : 54. What is 8 : ? (a) 47 (b) 23 (c) 49 (d) 48
9. 9.What is 1/2 of 4? (a) 4 (b) 3 (c) 1 (d) 2
10. 10.Which fraction is greater: 1/11 or 1/9? (a) They are equal (b) 1/9 (c) 1/11
11. 11.If 23 October is a Saturday, what day of the week is 1 November? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
12. 12.Every pair follows the same rule: 2 : 9, 8 : 69, 9 : 86. What is 3 : ? (a) 15 (b) 14 (c) 13 (d) 10
13. 13.1/2 + 1/3 = ? (a) 1 (b) 2/3 (c) 5/6 (d) 2/5
14. 14.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 2 : ? (a) 4 (b) 5 (c) 6 (d) 8
15. 15.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 19 (c) 62 (d) 18
16. 16.Today is Sunday. What day of the week will it be after 82 days? (a) Sunday (b) Saturday (c) Thursday (d) Friday
17. 17.What is the value of the digit 4 in 12.964? (a) 4 (b) 0.04 (c) 0.4 (d) 0.004
18. 18.₹1500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹1800 (b) ₹240 (c) ₹1560 (d) ₹1740
19. 19.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
20. 20.Every pair follows the same rule: 2 : 9, 4 : 11, 7 : 14. What is 8 : ? (a) 17 (b) 14 (c) 16 (d) 15
21. 21.Today is Wednesday. What day of the week will it be after 28 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
22. 22.Every pair follows the same rule: 3 : 11, 5 : 27, 7 : 51. What is 4 : ? (a) 18 (b) 12 (c) 15 (d) 19
23. 23.If 7 kites cost ₹112, how much do 9 kites cost? (a) ₹144 (b) ₹1008 (c) ₹114 (d) ₹160
24. 24.If 11 July is a Sunday, what day of the week is 14 August? (a) Friday (b) Monday (c) Saturday (d) Sunday
25. 25.If x/3 + 7 = 12, what is x? (a) 5 (b) 15 (c) 57 (d) 29
26. 26.A shopkeeper buys a toy for ₹560 and sells it for ₹588. What is his profit percent? (a) 10% (b) 28% (c) 5% (d) 6%
27. 27.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 54 cm
28. 28.A bag marked ₹1360 is sold at a 10% discount. What is its selling price? (a) ₹136 (b) ₹1350 (c) ₹1496 (d) ₹1224
29. 29.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 136 sq cm (c) 153 sq cm (d) 50 sq cm
30. 30.In how many years will ₹5500 earn ₹1760 simple interest at 8% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
31. 31.2.85 + 1.2 = ? (a) 3.95 (b) 4.05 (c) 4.15 (d) 2.97
32. 32.Today is Sunday. What day of the week will it be after 11 days? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
33. 33.1/3 + 2/3 = ? (a) 1/2 (b) 2/3 (c) 4/3 (d) 1
34. 34.Every pair follows the same rule: 2 : 9, 6 : 41, 7 : 54. What is 9 : ? (a) 80 (b) 86 (c) 16 (d) 87
35. 35.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 44 sq cm (c) 120 sq cm (d) 22 sq cm
36. 36.If 5 pens cost ₹120, how much do 6 pens cost? (a) ₹720 (b) ₹121 (c) ₹144 (d) ₹168
37. 37.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 10% (b) 5% (c) 20% (d) 15%
38. 38.Which fraction is greater: 1/4 or 3/5? (a) They are equal (b) 3/5 (c) 1/4
39. 39.If x/6 + 11 = 14, what is x? (a) 73 (b) 3 (c) 150 (d) 18
40. 40.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 10% (b) 6% (c) 4% (d) 5%

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