Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 544 · 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 rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 15 cm (d) 9 cm
2. 2.What is the simple interest on ₹2000 at 3% per year for 5 years? (a) ₹60 (b) ₹2300 (c) ₹300 (d) ₹360
3. 3.What is 50% of 900? (a) 451 (b) 4500 (c) 450 (d) 900
4. 4.4.15 + 9.2 = ? (a) 13.25 (b) 5.07 (c) 13.35 (d) 13.45
5. 5.If 21 September is a Monday, what day of the week is 11 October? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
6. 6.If 9x + 4 = 6x + 22, what is x? (a) 6 (b) 7 (c) 8 (d) 5
7. 7.If 3x + 6 = 33, what is x? (a) 9 (b) 13 (c) 27 (d) 10
8. 8.If 15 May is a Thursday, what day of the week is 30 May? (a) Sunday (b) Thursday (c) Friday (d) Saturday
9. 9.Which fraction is greater: 1/3 or 3/4? (a) 1/3 (b) They are equal (c) 3/4
10. 10.The simple interest on ₹7500 for 3 years is ₹2250. What is the rate per year? (a) 30% (b) 9% (c) 11% (d) 10%
11. 11.What is the simple interest on ₹10000 at 11% per year for 2 years? (a) ₹2200 (b) ₹3300 (c) ₹1100 (d) ₹12200
12. 12.Which of these numbers is divisible by 8? (a) 587 (b) 573 (c) 576 (d) 582
13. 13.In how many years will ₹8500 earn ₹2805 simple interest at 11% per year? (a) 2 years (b) 4 years (c) 3 years (d) 6 years
14. 14.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 22 days (b) 21 days (c) 5 days (d) 13 days
15. 15.Two ribbons are 96 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) 96 cm (b) 12 cm (c) 864 cm (d) 6 cm
16. 16.₹8500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹11560 (b) ₹2550 (c) ₹9010 (d) ₹11050
17. 17.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 26 (b) 84 (c) 85 (d) 168
18. 18.In how many years will ₹1500 earn ₹600 simple interest at 10% per year? (a) 3 years (b) 4 years (c) 8 years (d) 5 years
19. 19.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 72 min (c) 42 min (d) 432 min
20. 20.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 97 (b) 34 (c) 41 (d) 70
21. 21.What is the average of all the whole numbers from 57 to 83? (a) 26 (b) 70 (c) 71 (d) 13
22. 22.What is the average of 69, 54, 73, 73, 75 and 70? (a) 70 (b) 68 (c) 71 (d) 69
23. 23.A shopkeeper buys a toy for ₹200 and sells it for ₹120. What is his loss percent? (a) 40% (b) 35% (c) 80% (d) 45%
24. 24.Every pair follows the same rule: 2 : 3, 4 : 15, 8 : 63. What is 7 : ? (a) 8 (b) 49 (c) 51 (d) 48
25. 25.If 6x − 2 = 10, what is x? (a) 1 (b) 12 (c) 2 (d) 3
26. 26.What is the simple interest on ₹9500 at 11% per year for 4 years? (a) ₹4180 (b) ₹1045 (c) ₹13680 (d) ₹5225
27. 27.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 26 sq cm (d) 13 sq cm
28. 28.Which is the greatest: 0.44, 0.4, 0.313, 0.021? (a) 0.44 (b) 0.4 (c) 0.313 (d) 0.021
29. 29.What is the value of the digit 8 in 26.598? (a) 0.08 (b) 0.008 (c) 0.8 (d) 8
30. 30.What is the average of all the whole numbers from 31 to 65? (a) 17 (b) 49 (c) 48 (d) 34
31. 31.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 120 (b) 60 (c) 32 (d) 240
32. 32.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 20 (b) 125 (c) 11 (d) 140
33. 33.₹242 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹110 (b) ₹121 (c) ₹22 (d) ₹132
34. 34.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 10% (b) 15% (c) 99% (d) 20%
35. 35.If 5x − 6 = 44, what is x? (a) 11 (b) 50 (c) 9 (d) 10
36. 36.What is the simple interest on ₹1500 at 2% per year for 3 years? (a) ₹90 (b) ₹120 (c) ₹30 (d) ₹1590
37. 37.3/8 + 1/4 = ? (a) 5/8 (b) 3/4 (c) 1/2 (d) 1/3
38. 38.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 30 min (c) 90 min (d) 21 min
39. 39.What is 1/4 of 12? (a) 6 (b) 9 (c) 3 (d) 4
40. 40.A bag marked ₹380 is sold at a 50% discount. What is its selling price? (a) ₹191 (b) ₹570 (c) ₹330 (d) ₹190

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