Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 869 · 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. 1.2/5 + 4/6 = ? (a) 11/10 (b) 31/30 (c) 16/15 (d) 6/11
2. 2.Every pair follows the same rule: 3 : 4, 4 : 6, 7 : 12. What is 9 : ? (a) 17 (b) 16 (c) 15 (d) 10
3. 3.A bag marked ₹880 is sold at a 30% discount. What is its selling price? (a) ₹616 (b) ₹264 (c) ₹1144 (d) ₹850
4. 4.What is the smallest number you must add to 516 to make it divisible by 7? (a) 1 (b) 5 (c) 3 (d) 2
5. 5.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 58 sq cm (c) 180 sq cm (d) 29 sq cm
6. 6.A shopkeeper buys a toy for ₹460 and sells it for ₹506. What is his profit percent? (a) 15% (b) 46% (c) 10% (d) 5%
7. 7.What is 75% of 240? (a) 360 (b) 180 (c) 1800 (d) 60
8. 8.4/8 + 5/8 = ? (a) 9/16 (b) 9/8 (c) 1 (d) 5/4
9. 9.What is the remainder when 183 is divided by 6? (a) 4 (b) 5 (c) 3 (d) 2
10. 10.Two ribbons are 48 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 240 cm (b) 6 cm (c) 12 cm (d) 48 cm
11. 11.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 35 (c) 25 (d) 18
12. 12.What is 1/3 of 9? (a) 4 (b) 6 (c) 3 (d) 2
13. 13.If x/5 + 3 = 6, what is x? (a) 45 (b) 3 (c) 27 (d) 15
14. 14.1.41 + 4.1 = ? (a) 1.82 (b) 5.61 (c) 5.41 (d) 5.51
15. 15.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 5% (b) 10% (c) 11% (d) 15%
16. 16.If 3 kites cost ₹54, how much do 4 kites cost? (a) ₹90 (b) ₹72 (c) ₹55 (d) ₹216
17. 17.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 140 min (c) 24 min (d) 70 min
18. 18.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 86 (b) 45 (c) 16 (d) 57
19. 19.A bag marked ₹1800 is sold at a 20% discount. What is its selling price? (a) ₹360 (b) ₹1440 (c) ₹1780 (d) ₹2160
20. 20.If 10 June is a Saturday, what day of the week is 3 July? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
21. 21.Two ribbons are 10 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 1 cm (c) 5 cm (d) 35 cm
22. 22.If 3x + 18 = x + 24, what is x? (a) 21 (b) 5 (c) 4 (d) 3
23. 23.What is the value of the digit 5 in 92.856? (a) 5 (b) 0.005 (c) 0.05 (d) 0.5
24. 24.If 2 mangoes cost ₹14, how much do 7 mangoes cost? (a) ₹98 (b) ₹19 (c) ₹56 (d) ₹49
25. 25.What is the smallest number you must add to 686 to make it divisible by 11? (a) 6 (b) 8 (c) 7 (d) 4
26. 26.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 36 sq cm (c) 15 sq cm (d) 30 sq cm
27. 27.₹98 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹49 (b) ₹14 (c) ₹84 (d) ₹98
28. 28.9.06 + 9.1 = ? (a) 18.16 (b) 18.06 (c) 18.26 (d) 9.97
29. 29.What is the remainder when 218 is divided by 3? (a) 1 (b) 0 (c) 2
30. 30.7.41 + 6.6 = ? (a) 14.01 (b) 8.07 (c) 14.11 (d) 13.91
31. 31.Every pair follows the same rule: 2 : 17, 7 : 37, 9 : 45. What is 4 : ? (a) 24 (b) 26 (c) 19 (d) 25
32. 32.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 56 cm (d) 23 cm
33. 33.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
34. 34.A shopkeeper buys a toy for ₹620 and sells it for ₹682. What is his profit percent? (a) 15% (b) 62% (c) 5% (d) 10%
35. 35.What is the simple interest on ₹9500 at 5% per year for 4 years? (a) ₹11400 (b) ₹2375 (c) ₹1900 (d) ₹475
36. 36.What is the simple interest on ₹7000 at 11% per year for 2 years? (a) ₹770 (b) ₹1540 (c) ₹8540 (d) ₹2310
37. 37.Today is Sunday. What day of the week will it be after 93 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
38. 38.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 28%
39. 39.Every pair follows the same rule: 4 : 19, 6 : 29, 7 : 34. What is 5 : ? (a) 24 (b) 23 (c) 20 (d) 25
40. 40.What is the smallest number you must add to 367 to make it divisible by 5? (a) 1 (b) 3 (c) 2 (d) 4

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