Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 103 · 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.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 85 (c) 26 (d) 84
2. 2.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 17 cm (c) 10 cm (d) 21 cm
3. 3.Today is Monday. What day of the week will it be after 12 days? (a) Sunday (b) Saturday (c) Friday (d) Monday
4. 4.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 63 min (b) 30 min (c) 3 min (d) 189 min
5. 5.What is the remainder when 349 is divided by 12? (a) 11 (b) 0 (c) 1 (d) 2
6. 6.If 4x + 3 = 11, what is x? (a) 1 (b) 3 (c) 8 (d) 2
7. 7.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 63 cm
8. 8.₹220 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹40 (b) ₹20 (c) ₹110 (d) ₹180
9. 9.Which is the greatest: 0.048, 0.3, 0.35, 0.286? (a) 0.048 (b) 0.3 (c) 0.35 (d) 0.286
10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
11. 11.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 2 : ? (a) 18 (b) 26 (c) 9 (d) 8
12. 12.What is the remainder when 209 is divided by 8? (a) 1 (b) 2 (c) 0 (d) 7
13. 13.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 56 sq cm (c) 30 sq cm (d) 15 sq cm
14. 14.A shopkeeper buys a toy for ₹680 and sells it for ₹476. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
15. 15.If 5 July is a Tuesday, what day of the week is 20 July? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
16. 16.If 29 July is a Friday, what day of the week is 16 August? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
17. 17.₹616 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹44 (b) ₹220 (c) ₹396 (d) ₹308
18. 18.Every pair follows the same rule: 5 : 45, 6 : 54, 7 : 63. What is 8 : ? (a) 72 (b) 48 (c) 71 (d) 73
19. 19.A bag marked ₹220 is sold at a 20% discount. What is its selling price? (a) ₹176 (b) ₹264 (c) ₹200 (d) ₹44
20. 20.If x/2 + 4 = 7, what is x? (a) 10 (b) 6 (c) 3 (d) 22
21. 21.What is the remainder when 168 is divided by 10? (a) 2 (b) 8 (c) 7 (d) 9
22. 22.What is the value of the digit 9 in 42.916? (a) 0.009 (b) 0.09 (c) 9 (d) 0.9
23. 23.The simple interest on ₹4000 for 4 years is ₹640. What is the rate per year? (a) 16% (b) 3% (c) 4% (d) 5%
24. 24.5.79 + 4.6 = ? (a) 10.49 (b) 6.25 (c) 10.29 (d) 10.39
25. 25.In how many years will ₹9500 earn ₹570 simple interest at 2% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
26. 26.₹135 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹105 (b) ₹120 (c) ₹15 (d) ₹30
27. 27.Today is Tuesday. What day of the week will it be after 41 days? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
28. 28.If 4 kites cost ₹28, how much do 10 kites cost? (a) ₹77 (b) ₹280 (c) ₹34 (d) ₹70
29. 29.What is the average of 75, 70, 67, 59 and 99? (a) 73 (b) 74 (c) 75 (d) 76
30. 30.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 20 (b) 11 (c) 140 (d) 125
31. 31.₹468 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹36 (b) ₹234 (c) ₹288 (d) ₹180
32. 32.If 9x + 20 = 2x + 34, what is x? (a) 3 (b) 1 (c) 2 (d) 4
33. 33.Which fraction is greater: 3/7 or 2/3? (a) 2/3 (b) 3/7 (c) They are equal
34. 34.If 8 mangoes cost ₹152, how much do 12 mangoes cost? (a) ₹156 (b) ₹1824 (c) ₹247 (d) ₹228
35. 35.What is the simple interest on ₹2000 at 12% per year for 4 years? (a) ₹240 (b) ₹1200 (c) ₹2960 (d) ₹960
36. 36.If 8 kites cost ₹64, how much do 6 kites cost? (a) ₹384 (b) ₹56 (c) ₹62 (d) ₹48
37. 37.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 33 min (c) 252 min (d) 3 min
38. 38.If 6 pens cost ₹120, how much do 11 pens cost? (a) ₹220 (b) ₹240 (c) ₹1320 (d) ₹125
39. 39.What is the average of 35, 28, 26, 17, 34 and 46? (a) 30 (b) 32 (c) 31 (d) 33
40. 40.If 2 mangoes cost ₹28, how much do 8 mangoes cost? (a) ₹224 (b) ₹34 (c) ₹126 (d) ₹112

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