Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 548 · 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.If 3x − 15 = 27, what is x? (a) 15 (b) 4 (c) 14 (d) 42
2. 2.Today is Friday. What day of the week will it be after 84 days? (a) Friday (b) Saturday (c) Sunday (d) Thursday
3. 3.In how many years will ₹1500 earn ₹225 simple interest at 5% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
4. 4.Today is Thursday. What day of the week will it be after 11 days? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
5. 5.Every pair follows the same rule: 2 : 3, 5 : 24, 6 : 35. What is 9 : ? (a) 10 (b) 80 (c) 81 (d) 68
6. 6.A teacher has 10 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 10 (c) 5 (d) 1
7. 7.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 525 min (c) 5 min (d) 105 min
8. 8.Two ribbons are 84 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 84 cm (b) 12 cm (c) 6 cm (d) 24 cm
9. 9.What is the units digit of 2^20? (a) 8 (b) 2 (c) 6 (d) 4
10. 10.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) 252 min (b) 84 min (c) 3 min (d) 33 min
11. 11.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 75 (c) 63 (d) 20
12. 12.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) 108 min (b) 3 min (c) 21 min (d) 36 min
13. 13.1/2 + 1/2 = ? (a) 2 (b) 3/2 (c) 1 (d) 1/2
14. 14.Two ribbons are 12 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 8 cm (c) 12 cm (d) 2 cm
15. 15.If 12 July is a Monday, what day of the week is 23 July? (a) Saturday (b) Friday (c) Sunday (d) Thursday
16. 16.What is 1/6 of 24? (a) 8 (b) 20 (c) 5 (d) 4
17. 17.Today is Tuesday. What day of the week will it be after 35 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
18. 18.Two ribbons are 9 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 9 cm (c) 1 cm (d) 3 cm
19. 19.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 35 (c) 7 (d) 8
20. 20.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 187 sq cm (d) 27 sq cm
21. 21.If x/2 + 9 = 19, what is x? (a) 20 (b) 10 (c) 29 (d) 56
22. 22.What is 8/9 of 36? (a) 4 (b) 36 (c) 33 (d) 32
23. 23.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 26 min (c) 2 min (d) 168 min
24. 24.If 5 pens cost ₹40, how much do 9 pens cost? (a) ₹360 (b) ₹44 (c) ₹80 (d) ₹72
25. 25.If x/6 + 10 = 12, what is x? (a) 12 (b) 132 (c) 2 (d) 62
26. 26.Today is Sunday. What day of the week will it be after 50 days? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
27. 27.2.81 + 2.9 = ? (a) 3.1 (b) 5.61 (c) 5.81 (d) 5.71
28. 28.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 43 (c) 14 (d) 33
29. 29.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 18 min (c) 40 min (d) 80 min
30. 30.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 6 days (c) 5 days (d) 9 days
31. 31.1/5 + 1/3 = ? (a) 1/4 (b) 3/5 (c) 7/15 (d) 8/15
32. 32.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 41 (b) 79 (c) 24 (d) 62
33. 33.A bag marked ₹1320 is sold at a 15% discount. What is its selling price? (a) ₹1518 (b) ₹1305 (c) ₹198 (d) ₹1122
34. 34.If 9x + 4 = 49, what is x? (a) 4 (b) 6 (c) 5 (d) 45
35. 35.9.37 + 7.7 = ? (a) 17.07 (b) 10.14 (c) 16.97 (d) 17.17
36. 36.Every pair follows the same rule: 3 : 8, 4 : 15, 5 : 24. What is 6 : ? (a) 35 (b) 36 (c) 11 (d) 33
37. 37.What is 2/9 of 108? (a) 12 (b) 24 (c) 84 (d) 36
38. 38.A teacher has 40 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 8 (c) 40 (d) 4
39. 39.₹2500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹2950 (b) ₹2725 (c) ₹3175 (d) ₹450
40. 40.If 5 kites cost ₹105, how much do 8 kites cost? (a) ₹189 (b) ₹168 (c) ₹840 (d) ₹108

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