Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 268 · 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. 1.6/7 + 4/5 = ? (a) 59/35 (b) 57/35 (c) 58/35 (d) 5/6
2. 2.4 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 10 days (c) 5 days (d) 3 days
3. 3.Every pair follows the same rule: 6 : 36, 7 : 49, 9 : 81. What is 2 : ? (a) 5 (b) 4 (c) 12 (d) 32
4. 4.If 4 kites cost ₹84, how much do 3 kites cost? (a) ₹83 (b) ₹63 (c) ₹84 (d) ₹252
5. 5.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 48%
6. 6.₹231 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹147 (b) ₹21 (c) ₹84 (d) ₹168
7. 7.If 4x + 17 = 33, what is x? (a) 3 (b) 16 (c) 5 (d) 4
8. 8.Every pair follows the same rule: 2 : 14, 4 : 24, 9 : 49. What is 6 : ? (a) 42 (b) 34 (c) 35 (d) 18
9. 9.If 2x + 9 = 31, what is x? (a) 22 (b) 20 (c) 11 (d) 12
10. 10.1/3 + 1/2 = ? (a) 1 (b) 5/6 (c) 2/5 (d) 2/3
11. 11.What is the value of the digit 5 in 41.765? (a) 0.05 (b) 5 (c) 0.005 (d) 0.5
12. 12.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 300 min (c) 35 min (d) 5 min
13. 13.5.31 + 2.8 = ? (a) 5.59 (b) 8.11 (c) 8.01 (d) 8.21
14. 14.₹252 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹28 (b) ₹56 (c) ₹126 (d) ₹196
15. 15.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 108 min (c) 36 min (d) 3 min
16. 16.What is 75% of 880? (a) 220 (b) 1320 (c) 660 (d) 6600
17. 17.₹8000 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹2880 (b) ₹10880 (c) ₹8960 (d) ₹11840
18. 18.Two ribbons are 70 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 20 cm (c) 70 cm (d) 10 cm
19. 19.What is the remainder when 283 is divided by 8? (a) 4 (b) 3 (c) 2 (d) 5
20. 20.If 24 May is a Saturday, what day of the week is 2 June? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
21. 21.What is the simple interest on ₹4500 at 3% per year for 2 years? (a) ₹135 (b) ₹4770 (c) ₹405 (d) ₹270
22. 22.Every pair follows the same rule: 4 : 21, 5 : 24, 7 : 30. What is 2 : ? (a) 19 (b) 16 (c) 15 (d) 14
23. 23.If 4x + 1 = 9, what is x? (a) 3 (b) 2 (c) 8 (d) 1
24. 24.₹217 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹186 (b) ₹217 (c) ₹187 (d) ₹31
25. 25.Two ribbons are 40 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 4 cm (c) 40 cm (d) 24 cm
26. 26.What is the simple interest on ₹3000 at 5% per year for 3 years? (a) ₹450 (b) ₹600 (c) ₹150 (d) ₹3450
27. 27.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 14 sq cm (c) 28 sq cm (d) 44 sq cm
28. 28.₹4000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹600 (b) ₹4200 (c) ₹4800 (d) ₹4600
29. 29.If 11 March is a Monday, what day of the week is 21 March? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
30. 30.Every pair follows the same rule: 3 : 7, 5 : 23, 7 : 47. What is 2 : ? (a) 3 (b) 2 (c) 6 (d) 1
31. 31.If 7 kites cost ₹98, how much do 4 kites cost? (a) ₹392 (b) ₹95 (c) ₹70 (d) ₹56
32. 32.What is the units digit of 4^18? (a) 6 (b) 7 (c) 4 (d) 5
33. 33.What is the value of the digit 4 in 67.345? (a) 4 (b) 0.004 (c) 0.04 (d) 0.4
34. 34.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
35. 35.₹90 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹80 (b) ₹45 (c) ₹10 (d) ₹90
36. 36.If 7 mangoes cost ₹49, how much do 2 mangoes cost? (a) ₹14 (b) ₹98 (c) ₹44 (d) ₹21
37. 37.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 20% (b) 5% (c) 10% (d) 6%
38. 38.The simple interest on ₹5500 for 2 years is ₹1100. What is the rate per year? (a) 10% (b) 11% (c) 20% (d) 9%
39. 39.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 27 (b) 120 (c) 180 (d) 60
40. 40.If x/2 + 2 = 10, what is x? (a) 24 (b) 18 (c) 16 (d) 8

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