Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 490 · 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 13 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 104 cm (c) 21 cm (d) 34 cm
2. 2.A teacher has 33 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 22 (b) 11 (c) 33 (d) 1
3. 3.If 5x + 15 = 4x + 24, what is x? (a) 10 (b) 9 (c) 1 (d) 39
4. 4.4.92 + 6.3 = ? (a) 11.32 (b) 11.12 (c) 11.22 (d) 5.55
5. 5.Which of these numbers is divisible by 9? (a) 850 (b) 846 (c) 842 (d) 857
6. 6.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 40 min (c) 84 min (d) 4 min
7. 7.What is the average of all the whole numbers from 18 to 42? (a) 31 (b) 12 (c) 24 (d) 30
8. 8.Every pair follows the same rule: 2 : 18, 3 : 27, 4 : 36. What is 7 : ? (a) 64 (b) 23 (c) 63 (d) 62
9. 9.What is the simple interest on ₹5000 at 7% per year for 3 years? (a) ₹1400 (b) ₹350 (c) ₹6050 (d) ₹1050
10. 10.If 5 kites cost ₹30, how much do 12 kites cost? (a) ₹72 (b) ₹78 (c) ₹37 (d) ₹360
11. 11.What is the simple interest on ₹7500 at 3% per year for 5 years? (a) ₹225 (b) ₹1350 (c) ₹8625 (d) ₹1125
12. 12.Which is the greatest: 0.032, 0.222, 0.33, 0.3? (a) 0.032 (b) 0.222 (c) 0.33 (d) 0.3
13. 13.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 252 (b) 756 (c) 126 (d) 60
14. 14.A shopkeeper buys a toy for ₹380 and sells it for ₹532. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
15. 15.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 126 (c) 30 (d) 63
16. 16.1/4 + 5/6 = ? (a) 13/12 (b) 1 (c) 3/5 (d) 7/6
17. 17.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 21 cm (d) 27 cm
18. 18.If 1 January is a Saturday, what day of the week is 11 January? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
19. 19.The simple interest on ₹6500 for 2 years is ₹910. What is the rate per year? (a) 6% (b) 7% (c) 14% (d) 8%
20. 20.₹25 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹15 (b) ₹10 (c) ₹5 (d) ₹20
21. 21.Which fraction is greater: 3/11 or 1/7? (a) 1/7 (b) 3/11 (c) They are equal
22. 22.If 11 March is a Sunday, what day of the week is 5 April? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
23. 23.A bag marked ₹1780 is sold at a 25% discount. What is its selling price? (a) ₹1335 (b) ₹445 (c) ₹1755 (d) ₹2225
24. 24.Which fraction is greater: 2/3 or 7/8? (a) 7/8 (b) They are equal (c) 2/3
25. 25.If 3x − 5 = 1, what is x? (a) 2 (b) 6 (c) 1 (d) 3
26. 26.In how many years will ₹3000 earn ₹600 simple interest at 5% per year? (a) 4 years (b) 8 years (c) 5 years (d) 3 years
27. 27.Every pair follows the same rule: 4 : 25, 5 : 30, 9 : 50. What is 3 : ? (a) 24 (b) 21 (c) 20 (d) 19
28. 28.What is 2/3 of 9? (a) 9 (b) 7 (c) 6 (d) 3
29. 29.What is the units digit of 8^47? (a) 2 (b) 4 (c) 8 (d) 6
30. 30.₹550 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹275 (b) ₹350 (c) ₹200 (d) ₹50
31. 31.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 51 (b) 20 (c) 25 (d) 19
32. 32.A bag marked ₹300 is sold at a 10% discount. What is its selling price? (a) ₹270 (b) ₹330 (c) ₹30 (d) ₹290
33. 33.Which is the greatest: 0.56, 0.454, 0.5, 0.041? (a) 0.56 (b) 0.454 (c) 0.5 (d) 0.041
34. 34.₹1500 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹1860 (b) ₹360 (c) ₹1980 (d) ₹1620
35. 35.If 8 July is a Monday, what day of the week is 17 July? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
36. 36.1/3 + 3/8 = ? (a) 17/24 (b) 4/11 (c) 2/3 (d) 3/4
37. 37.What is 50% of 660? (a) 660 (b) 331 (c) 330 (d) 3300
38. 38.8.33 + 4.9 = ? (a) 13.33 (b) 8.82 (c) 13.13 (d) 13.23
39. 39.A bag marked ₹440 is sold at a 10% discount. What is its selling price? (a) ₹484 (b) ₹396 (c) ₹44 (d) ₹430
40. 40.Every pair follows the same rule: 2 : 5, 6 : 37, 8 : 65. What is 5 : ? (a) 8 (b) 26 (c) 23 (d) 27

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