Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 624 · 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.If 9 notebooks cost ₹198, how much do 6 notebooks cost? (a) ₹1188 (b) ₹132 (c) ₹195 (d) ₹154
2. 2.What is the smallest number you must add to 903 to make it divisible by 12? (a) 10 (b) 3 (c) 8 (d) 9
3. 3.3/5 + 1/4 = ? (a) 9/10 (b) 4/5 (c) 4/9 (d) 17/20
4. 4.₹9000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹10620 (b) ₹1080 (c) ₹10080 (d) ₹9540
5. 5.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
6. 6.A bag marked ₹680 is sold at a 15% discount. What is its selling price? (a) ₹665 (b) ₹102 (c) ₹578 (d) ₹782
7. 7.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 3 : ? (a) 3 (b) 27 (c) 26 (d) 28
8. 8.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 3 cm (c) 4 cm (d) 6 cm
9. 9.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 96 sq cm (c) 108 sq cm (d) 20 sq cm
10. 10.In how many years will ₹5000 earn ₹750 simple interest at 5% per year? (a) 4 years (b) 3 years (c) 2 years (d) 6 years
11. 11.₹3500 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹3745 (b) ₹735 (c) ₹4235 (d) ₹4480
12. 12.What is 30% of 380? (a) 1140 (b) 114 (c) 228 (d) 266
13. 13.₹10000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹11500 (b) ₹10500 (c) ₹12000 (d) ₹1500
14. 14.Which fraction is greater: 4/9 or 2/3? (a) They are equal (b) 4/9 (c) 2/3
15. 15.What is the smallest number you must add to 338 to make it divisible by 11? (a) 3 (b) 2 (c) 4 (d) 8
16. 16.If 22 May is a Monday, what day of the week is 14 June? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
17. 17.What is the average of 30, 37, 51, 51, 58 and 43? (a) 46 (b) 54 (c) 45 (d) 44
18. 18.Every pair follows the same rule: 4 : 8, 6 : 10, 8 : 12. What is 2 : ? (a) 5 (b) 6 (c) 7 (d) 4
19. 19.What is the units digit of 2^15? (a) 2 (b) 6 (c) 4 (d) 8
20. 20.If 9x + 17 = 8x + 28, what is x? (a) 13 (b) 11 (c) 45 (d) 12
21. 21.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 27 min (c) 126 min (d) 42 min
22. 22.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 49 days (b) 9 days (c) 19 days (d) 4 days
23. 23.If 6 kites cost ₹108, how much do 12 kites cost? (a) ₹234 (b) ₹1296 (c) ₹216 (d) ₹114
24. 24.Two ribbons are 6 cm and 15 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) 1 cm (c) 9 cm (d) 6 cm
25. 25.Which is the smallest: 0.3, 0.34, 0.269, 0.097? (a) 0.3 (b) 0.34 (c) 0.269 (d) 0.097
26. 26.If 2x + 28 = 50, what is x? (a) 39 (b) 22 (c) 11 (d) 12
27. 27.A bag marked ₹1300 is sold at a 25% discount. What is its selling price? (a) ₹975 (b) ₹325 (c) ₹1275 (d) ₹1625
28. 28.A bag marked ₹1260 is sold at a 15% discount. What is its selling price? (a) ₹189 (b) ₹1449 (c) ₹1245 (d) ₹1071
29. 29.In how many years will ₹3500 earn ₹945 simple interest at 9% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
30. 30.Which fraction is greater: 3/5 or 9/11? (a) They are equal (b) 3/5 (c) 9/11
31. 31.Which of these numbers is divisible by 3? (a) 272 (b) 273 (c) 275 (d) 278
32. 32.Two ribbons are 12 cm and 21 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) 12 cm (c) 1 cm (d) 9 cm
33. 33.A shopkeeper buys a toy for ₹740 and sells it for ₹518. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
34. 34.Two ribbons are 44 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 220 cm (c) 44 cm (d) 1 cm
35. 35.If 19 August is a Wednesday, what day of the week is 1 September? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
36. 36.2/6 + 6/9 = ? (a) 17/18 (b) 8/15 (c) 19/18 (d) 1
37. 37.In how many years will ₹2500 earn ₹625 simple interest at 5% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
38. 38.Every pair follows the same rule: 2 : 6, 6 : 18, 9 : 27. What is 3 : ? (a) 9 (b) 8 (c) 10 (d) 7
39. 39.The simple interest on ₹3000 for 3 years is ₹990. What is the rate per year? (a) 10% (b) 33% (c) 11% (d) 12%
40. 40.3.06 + 5.8 = ? (a) 8.96 (b) 3.64 (c) 8.86 (d) 8.76

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