Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 920 · 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 ₹300 and sells it for ₹180. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
2. 2.What is the simple interest on ₹2500 at 9% per year for 5 years? (a) ₹1125 (b) ₹3625 (c) ₹225 (d) ₹1350
3. 3.If 9 kites cost ₹225, how much do 6 kites cost? (a) ₹1350 (b) ₹150 (c) ₹175 (d) ₹222
4. 4.What is the value of the digit 2 in 36.952? (a) 0.2 (b) 2 (c) 0.002 (d) 0.02
5. 5.Which fraction is greater: 1/10 or 3/11? (a) 1/10 (b) They are equal (c) 3/11
6. 6.Two ribbons are 8 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 8 cm (c) 1 cm (d) 10 cm
7. 7.5/7 + 1/3 = ? (a) 3/5 (b) 1 (c) 23/21 (d) 22/21
8. 8.A shopkeeper buys a toy for ₹680 and sells it for ₹646. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 34%
9. 9.₹4000 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹2400 (b) ₹4480 (c) ₹6880 (d) ₹6400
10. 10.What is 50% of 900? (a) 450 (b) 900 (c) 451 (d) 4500
11. 11.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 44 sq cm (c) 130 sq cm (d) 22 sq cm
12. 12.What is 2/3 of 18? (a) 13 (b) 6 (c) 18 (d) 12
13. 13.A shopkeeper buys a toy for ₹760 and sells it for ₹456. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%
14. 14.1.54 + 6.1 = ? (a) 7.54 (b) 2.15 (c) 7.64 (d) 7.74
15. 15.If 3 mangoes cost ₹51, how much do 10 mangoes cost? (a) ₹510 (b) ₹187 (c) ₹58 (d) ₹170
16. 16.Every pair follows the same rule: 2 : 3, 3 : 6, 6 : 15. What is 7 : ? (a) 18 (b) 17 (c) 19 (d) 8
17. 17.What is the remainder when 185 is divided by 3? (a) 1 (b) 0 (c) 2
18. 18.Two ribbons are 30 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 30 cm (c) 10 cm (d) 20 cm
19. 19.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
20. 20.If 27 April is a Friday, what day of the week is 11 May? (a) Saturday (b) Friday (c) Thursday (d) Sunday
21. 21.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 500 min (c) 100 min (d) 5 min
22. 22.₹10000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹15500 (b) ₹11100 (c) ₹4400 (d) ₹14400
23. 23.₹230 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹69 (b) ₹161 (c) ₹115 (d) ₹23
24. 24.In how many years will ₹4000 earn ₹1120 simple interest at 7% per year? (a) 4 years (b) 3 years (c) 5 years (d) 8 years
25. 25.Which is the smallest: 0.2, 0.22, 0.177, 0.011? (a) 0.2 (b) 0.22 (c) 0.177 (d) 0.011
26. 26.₹153 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹136 (b) ₹34 (c) ₹119 (d) ₹17
27. 27.What is the simple interest on ₹9500 at 11% per year for 4 years? (a) ₹5225 (b) ₹1045 (c) ₹4180 (d) ₹13680
28. 28.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) 84 min (c) 4 min (d) 40 min
29. 29.Every pair follows the same rule: 3 : 6, 7 : 46, 9 : 78. What is 5 : ? (a) 22 (b) 8 (c) 14 (d) 10
30. 30.If x/4 + 7 = 11, what is x? (a) 37 (b) 4 (c) 16 (d) 72
31. 31.8.76 + 7.4 = ? (a) 9.5 (b) 16.06 (c) 16.26 (d) 16.16
32. 32.If 4 pens cost ₹88, how much do 6 pens cost? (a) ₹90 (b) ₹154 (c) ₹132 (d) ₹528
33. 33.9.11 + 2.1 = ? (a) 11.31 (b) 11.11 (c) 9.32 (d) 11.21
34. 34.Which is the greatest: 0.68, 0.513, 0.028, 0.6? (a) 0.68 (b) 0.513 (c) 0.028 (d) 0.6
35. 35.In how many years will ₹5000 earn ₹400 simple interest at 4% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
36. 36.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 190 sq cm (d) 171 sq cm
37. 37.5 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 7 days (d) 6 days
38. 38.Every pair follows the same rule: 3 : 15, 5 : 25, 9 : 45. What is 7 : ? (a) 36 (b) 34 (c) 35 (d) 19
39. 39.What is the value of the digit 2 in 21.798? (a) 2 (b) 0.2 (c) 20 (d) 0.02
40. 40.Every pair follows the same rule: 2 : 4, 7 : 49, 8 : 64. What is 3 : ? (a) 10 (b) 6 (c) 9 (d) 5

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