Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 104 · 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.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
2. 2.If 17 March is a Saturday, what day of the week is 16 April? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
3. 3.The simple interest on ₹8000 for 2 years is ₹1600. What is the rate per year? (a) 11% (b) 10% (c) 9% (d) 20%
4. 4.If 3 notebooks cost ₹15, how much do 2 notebooks cost? (a) ₹14 (b) ₹30 (c) ₹10 (d) ₹15
5. 5.What is the simple interest on ₹1500 at 6% per year for 5 years? (a) ₹1950 (b) ₹90 (c) ₹450 (d) ₹540
6. 6.Two ribbons are 28 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 1 cm (c) 7 cm (d) 21 cm
7. 7.What is the smallest number you must add to 801 to make it divisible by 10? (a) 7 (b) 9 (c) 1 (d) 8
8. 8.A bag marked ₹860 is sold at a 15% discount. What is its selling price? (a) ₹129 (b) ₹731 (c) ₹989 (d) ₹845
9. 9.If 28 September is a Wednesday, what day of the week is 1 October? (a) Friday (b) Sunday (c) Saturday (d) Monday
10. 10.Which of these numbers is divisible by 4? (a) 1295 (b) 1289 (c) 1288 (d) 1287
11. 11.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 63 (c) 12 (d) 72
12. 12.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 504 min (c) 54 min (d) 84 min
13. 13.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 71 (b) 15 (c) 62 (d) 59
14. 14.Today is Thursday. What day of the week will it be after 76 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
15. 15.8.98 + 7.1 = ? (a) 15.98 (b) 16.08 (c) 16.18 (d) 9.69
16. 16.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
17. 17.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 14 days (b) 16 days (c) 15 days (d) 11 days
18. 18.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 90 cm (c) 41 cm (d) 46 cm
19. 19.What is the simple interest on ₹2000 at 11% per year for 4 years? (a) ₹2880 (b) ₹880 (c) ₹220 (d) ₹1100
20. 20.Which fraction is greater: 5/6 or 2/5? (a) 2/5 (b) They are equal (c) 5/6
21. 21.₹2500 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹3850 (b) ₹3625 (c) ₹1125 (d) ₹2725
22. 22.Which of these numbers is divisible by 3? (a) 2382 (b) 2380 (c) 2383 (d) 2386
23. 23.Every pair follows the same rule: 4 : 21, 7 : 33, 8 : 37. What is 3 : ? (a) 20 (b) 17 (c) 16 (d) 18
24. 24.What is the simple interest on ₹2000 at 12% per year for 4 years? (a) ₹240 (b) ₹960 (c) ₹1200 (d) ₹2960
25. 25.If 6 pens cost ₹18, how much do 11 pens cost? (a) ₹198 (b) ₹23 (c) ₹36 (d) ₹33
26. 26.Two ribbons are 9 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 9 cm (c) 36 cm (d) 3 cm
27. 27.7/8 + 1/2 = ? (a) 3/2 (b) 5/4 (c) 4/5 (d) 11/8
28. 28.Every pair follows the same rule: 5 : 30, 7 : 42, 8 : 48. What is 4 : ? (a) 25 (b) 24 (c) 29 (d) 23
29. 29.What is 2/5 of 50? (a) 30 (b) 21 (c) 10 (d) 20
30. 30.In how many years will ₹6000 earn ₹360 simple interest at 2% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
31. 31.Every pair follows the same rule: 3 : 17, 4 : 18, 9 : 23. What is 5 : ? (a) 18 (b) 20 (c) 19 (d) 21
32. 32.What is the average of 63, 45, 50, 68, 54 and 80? (a) 72 (b) 60 (c) 59 (d) 61
33. 33.A bag marked ₹440 is sold at a 25% discount. What is its selling price? (a) ₹415 (b) ₹110 (c) ₹550 (d) ₹330
34. 34.What is the smallest number you must add to 269 to make it divisible by 4? (a) 1 (b) 2 (c) 3
35. 35.Every pair follows the same rule: 2 : 12, 3 : 17, 6 : 44. What is 7 : ? (a) 53 (b) 42 (c) 17 (d) 57
36. 36.If 22 April is a Tuesday, what day of the week is 4 May? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
37. 37.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 5 (b) 49 (c) 6 (d) 23
38. 38.If 11 October is a Friday, what day of the week is 22 October? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
39. 39.Every pair follows the same rule: 2 : 3, 7 : 48, 9 : 80. What is 3 : ? (a) 4 (b) 7 (c) 9 (d) 8
40. 40.Which is the smallest: 0.35, 0.3, 0.034, 0.232? (a) 0.35 (b) 0.3 (c) 0.034 (d) 0.232

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