Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 660 · 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. 1.7.16 + 2.8 = ? (a) 10.06 (b) 7.44 (c) 9.96 (d) 9.86
2. 2.Every pair follows the same rule: 4 : 18, 6 : 38, 8 : 66. What is 2 : ? (a) 16 (b) 5 (c) 7 (d) 6
3. 3.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 57 (b) 112 (c) 56 (d) 22
4. 4.What is the average of 23, 36, 13 and 28? (a) 27 (b) 25 (c) 24 (d) 26
5. 5.What is the average of all the whole numbers from 44 to 62? (a) 18 (b) 54 (c) 53 (d) 9
6. 6.Two ribbons are 4 cm and 10 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) 1 cm (c) 2 cm (d) 6 cm
7. 7.A shopkeeper buys a toy for ₹940 and sells it for ₹1222. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
8. 8.Which of these numbers is divisible by 11? (a) 2190 (b) 2200 (c) 2203 (d) 2220
9. 9.The simple interest on ₹3000 for 2 years is ₹720. What is the rate per year? (a) 11% (b) 24% (c) 13% (d) 12%
10. 10.Which fraction is greater: 3/4 or 2/3? (a) They are equal (b) 2/3 (c) 3/4
11. 11.If 12 August is a Sunday, what day of the week is 9 September? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
12. 12.If x/6 + 11 = 19, what is x? (a) 103 (b) 180 (c) 48 (d) 8
13. 13.Today is Thursday. What day of the week will it be after 99 days? (a) Saturday (b) Thursday (c) Sunday (d) Friday
14. 14.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 19 days (c) 3 days (d) 2 days
15. 15.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
16. 16.What is the units digit of 8^39? (a) 8 (b) 6 (c) 4 (d) 2
17. 17.Two ribbons are 14 cm and 35 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) 21 cm (c) 14 cm (d) 7 cm
18. 18.What is 2/3 of 15? (a) 10 (b) 5 (c) 11 (d) 15
19. 19.Which fraction is greater: 1/3 or 3/4? (a) 3/4 (b) 1/3 (c) They are equal
20. 20.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 5 : ? (a) 15 (b) 17 (c) 11 (d) 25
21. 21.The simple interest on ₹5500 for 4 years is ₹440. What is the rate per year? (a) 2% (b) 1% (c) 3% (d) 8%
22. 22.What is the value of the digit 8 in 68.514? (a) 8 (b) 80 (c) 0.8 (d) 0.08
23. 23.What is the remainder when 77 is divided by 3? (a) 2 (b) 0 (c) 1
24. 24.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 168 sq cm (d) 154 sq cm
25. 25.What is 1/2 of 10? (a) 5 (b) 4 (c) 10 (d) 6
26. 26.A bag marked ₹400 is sold at a 15% discount. What is its selling price? (a) ₹340 (b) ₹385 (c) ₹60 (d) ₹460
27. 27.What is the remainder when 921 is divided by 12? (a) 9 (b) 8 (c) 3 (d) 10
28. 28.What is the average of 62, 62, 60 and 68? (a) 84 (b) 63 (c) 64 (d) 62
29. 29.What is the remainder when 233 is divided by 11? (a) 3 (b) 2 (c) 9 (d) 1
30. 30.What is the simple interest on ₹6500 at 6% per year for 4 years? (a) ₹8060 (b) ₹390 (c) ₹1950 (d) ₹1560
31. 31.The simple interest on ₹6500 for 5 years is ₹3575. What is the rate per year? (a) 10% (b) 11% (c) 12% (d) 55%
32. 32.If 3x − 3 = 6, what is x? (a) 9 (b) 1 (c) 3 (d) 4
33. 33.₹532 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹342 (b) ₹38 (c) ₹190 (d) ₹266
34. 34.Two ribbons are 45 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 18 cm (c) 9 cm (d) 45 cm
35. 35.Which of these numbers is divisible by 3? (a) 1739 (b) 1744 (c) 1741 (d) 1740
36. 36.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 6 min (c) 720 min (d) 54 min
37. 37.If 17 October is a Sunday, what day of the week is 7 November? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
38. 38.Which fraction is greater: 1/3 or 1/5? (a) They are equal (b) 1/5 (c) 1/3
39. 39.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
40. 40.If 3 mangoes cost ₹18, how much do 11 mangoes cost? (a) ₹72 (b) ₹198 (c) ₹66 (d) ₹26

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