Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 504 · 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.Which fraction is greater: 3/4 or 1/12? (a) 1/12 (b) They are equal (c) 3/4
2. 2.Which fraction is greater: 1/5 or 1/8? (a) They are equal (b) 1/8 (c) 1/5
3. 3.What is 60% of 300? (a) 360 (b) 1800 (c) 180 (d) 120
4. 4.What is the simple interest on ₹8000 at 4% per year for 3 years? (a) ₹8960 (b) ₹960 (c) ₹320 (d) ₹1280
5. 5.A teacher has 24 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 168 (c) 24 (d) 4
6. 6.₹221 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹85 (b) ₹136 (c) ₹17 (d) ₹153
7. 7.Two ribbons are 36 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 3 cm (c) 9 cm (d) 45 cm
8. 8.What is 2/3 of 15? (a) 10 (b) 5 (c) 15 (d) 11
9. 9.What is the average of 51, 71, 66, 62, 66 and 62? (a) 64 (b) 62 (c) 65 (d) 63
10. 10.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) 5 min (b) 35 min (c) 60 min (d) 300 min
11. 11.Two ribbons are 40 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 5 cm (c) 200 cm (d) 10 cm
12. 12.Two ribbons are 24 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 24 cm (c) 6 cm (d) 12 cm
13. 13.What is the remainder when 351 is divided by 5? (a) 2 (b) 4 (c) 0 (d) 1
14. 14.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 110 sq cm (b) 42 sq cm (c) 21 sq cm (d) 121 sq cm
15. 15.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 48 min (c) 2 min (d) 14 min
16. 16.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 33 min (c) 3 min (d) 270 min
17. 17.What is the average of all the whole numbers from 37 to 63? (a) 51 (b) 26 (c) 50 (d) 13
18. 18.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 40% (b) 25% (c) 30% (d) 20%
19. 19.Which fraction is greater: 4/9 or 3/7? (a) 3/7 (b) They are equal (c) 4/9
20. 20.Which fraction is greater: 6/11 or 3/5? (a) 6/11 (b) They are equal (c) 3/5
21. 21.Today is Tuesday. What day of the week will it be after 68 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
22. 22.What is the units digit of 2^51? (a) 8 (b) 2 (c) 6 (d) 4
23. 23.If 10 September is a Saturday, what day of the week is 15 October? (a) Sunday (b) Monday (c) Friday (d) Saturday
24. 24.If x/2 + 7 = 17, what is x? (a) 10 (b) 27 (c) 48 (d) 20
25. 25.Every pair follows the same rule: 2 : 15, 5 : 24, 8 : 33. What is 4 : ? (a) 17 (b) 22 (c) 20 (d) 21
26. 26.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 70 (c) 107 (d) 44
27. 27.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 86 (b) 65 (c) 4 (d) 64
28. 28.What is the remainder when 343 is divided by 5? (a) 1 (b) 4 (c) 2 (d) 3
29. 29.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 14 sq cm (d) 28 sq cm
30. 30.A bag marked ₹1160 is sold at a 50% discount. What is its selling price? (a) ₹1110 (b) ₹580 (c) ₹581 (d) ₹1740
31. 31.What is the remainder when 448 is divided by 11? (a) 7 (b) 8 (c) 3 (d) 9
32. 32.What is 5% of 40? (a) 20 (b) 4 (c) 2 (d) 38
33. 33.A shopkeeper buys a toy for ₹640 and sells it for ₹768. What is his profit percent? (a) 25% (b) 21% (c) 20% (d) 15%
34. 34.What is 1/2 of 6? (a) 3 (b) 6 (c) 2 (d) 4
35. 35.3/4 + 6/7 = ? (a) 45/28 (b) 9/11 (c) 11/7 (d) 23/14
36. 36.In how many years will ₹8000 earn ₹320 simple interest at 2% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
37. 37.Every pair follows the same rule: 3 : 5, 5 : 11, 7 : 17. What is 9 : ? (a) 11 (b) 23 (c) 22 (d) 24
38. 38.What is 1/3 of 12? (a) 8 (b) 5 (c) 3 (d) 4
39. 39.What is the value of the digit 6 in 96.315? (a) 60 (b) 0.06 (c) 6 (d) 0.6
40. 40.A batter has an average of 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 25 (c) 77 (d) 62

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