Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 107 · 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 shopkeeper buys a toy for ₹380 and sells it for ₹399. What is his profit percent? (a) 19% (b) 5% (c) 6% (d) 10%
2. 2.If 6x − 33 = 45, what is x? (a) 78 (b) 2 (c) 13 (d) 14
3. 3.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 45 days (b) 5 days (c) 9 days (d) 21 days
4. 4.9.29 + 7.7 = ? (a) 17.09 (b) 16.99 (c) 16.89 (d) 10.06
5. 5.What is the smallest number you must add to 266 to make it divisible by 4? (a) 3 (b) 2 (c) 1
6. 6.Which is the greatest: 0.167, 0.28, 0.019, 0.2? (a) 0.167 (b) 0.28 (c) 0.019 (d) 0.2
7. 7.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 28 (c) 53 (d) 49
8. 8.A bag marked ₹440 is sold at a 30% discount. What is its selling price? (a) ₹572 (b) ₹308 (c) ₹410 (d) ₹132
9. 9.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 320 min (b) 80 min (c) 4 min (d) 36 min
10. 10.7/8 + 1/3 = ? (a) 5/4 (b) 8/11 (c) 7/6 (d) 29/24
11. 11.If 4 mangoes cost ₹44, how much do 9 mangoes cost? (a) ₹49 (b) ₹396 (c) ₹110 (d) ₹99
12. 12.In how many years will ₹2500 earn ₹300 simple interest at 4% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
13. 13.Which fraction is greater: 3/7 or 4/5? (a) 4/5 (b) 3/7 (c) They are equal
14. 14.In how many years will ₹9500 earn ₹1520 simple interest at 4% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
15. 15.Which is the greatest: 0.061, 0.77, 0.686, 0.7? (a) 0.061 (b) 0.77 (c) 0.686 (d) 0.7
16. 16.In how many years will ₹4000 earn ₹600 simple interest at 3% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
17. 17.Every pair follows the same rule: 3 : 8, 6 : 35, 9 : 80. What is 8 : ? (a) 65 (b) 13 (c) 64 (d) 63
18. 18.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
19. 19.What is the average of 64, 62, 73 and 61? (a) 67 (b) 66 (c) 65 (d) 64
20. 20.What is the average of 79, 87, 86 and 48? (a) 76 (b) 75 (c) 100 (d) 74
21. 21.A shopkeeper buys a toy for ₹100 and sells it for ₹90. What is his loss percent? (a) 11% (b) 10% (c) 15% (d) 5%
22. 22.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 280 (b) 48 (c) 140 (d) 560
23. 23.₹56 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹32 (b) ₹8 (c) ₹24 (d) ₹28
24. 24.What is 15% of 540? (a) 459 (b) 810 (c) 81 (d) 162
25. 25.2/5 + 1/2 = ? (a) 3/7 (b) 9/10 (c) 1 (d) 4/5
26. 26.Today is Friday. What day of the week will it be after 78 days? (a) Monday (b) Sunday (c) Saturday (d) Friday
27. 27.In how many years will ₹2000 earn ₹720 simple interest at 9% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years
28. 28.Today is Saturday. What day of the week will it be after 93 days? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
29. 29.What is the simple interest on ₹7500 at 5% per year for 5 years? (a) ₹2250 (b) ₹375 (c) ₹9375 (d) ₹1875
30. 30.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 4 (b) 65 (c) 76 (d) 64
31. 31.Every pair follows the same rule: 5 : 34, 7 : 58, 8 : 73. What is 3 : ? (a) 18 (b) 17 (c) 19 (d) 32
32. 32.Which is the smallest: 0.47, 0.4, 0.031, 0.341? (a) 0.47 (b) 0.4 (c) 0.031 (d) 0.341
33. 33.If 3x + 8 = x + 28, what is x? (a) 11 (b) 18 (c) 10 (d) 5
34. 34.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 51% (b) 50% (c) 55% (d) 45%
35. 35.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 8 cm (c) 5 cm (d) 4 cm
36. 36.Every pair follows the same rule: 2 : 5, 8 : 17, 9 : 19. What is 4 : ? (a) 8 (b) 10 (c) 9 (d) 7
37. 37.What is 1/5 of 20? (a) 16 (b) 4 (c) 8 (d) 5
38. 38.If 3 October is a Saturday, what day of the week is 17 October? (a) Saturday (b) Friday (c) Sunday (d) Monday
39. 39.Every pair follows the same rule: 2 : 1, 5 : 7, 9 : 15. What is 4 : ? (a) 6 (b) 4 (c) 7 (d) 5
40. 40.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 70 sq cm (d) 84 sq cm

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad