Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 431 · 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 8 pens cost ₹72, how much do 3 pens cost? (a) ₹67 (b) ₹216 (c) ₹27 (d) ₹36
2. 2.If x/2 + 15 = 18, what is x? (a) 66 (b) 21 (c) 6 (d) 3
3. 3.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 21 (b) 36 (c) 108 (d) 72
4. 4.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 13 cm (c) 26 cm (d) 23 cm
5. 5.The simple interest on ₹4000 for 4 years is ₹1760. What is the rate per year? (a) 12% (b) 44% (c) 11% (d) 10%
6. 6.₹25 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹5 (b) ₹15 (c) ₹20 (d) ₹10
7. 7.Which is the smallest: 0.048, 0.737, 0.85, 0.8? (a) 0.048 (b) 0.737 (c) 0.85 (d) 0.8
8. 8.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 6 : ? (a) 6 (b) 138 (c) 216 (d) 217
9. 9.1/6 + 5/6 = ? (a) 5/6 (b) 1/2 (c) 1 (d) 7/6
10. 10.What is 60% of 300? (a) 360 (b) 120 (c) 1800 (d) 180
11. 11.Which of these numbers is divisible by 3? (a) 1192 (b) 1194 (c) 1195 (d) 1198
12. 12.What is 15% of 340? (a) 289 (b) 510 (c) 51 (d) 102
13. 13.The simple interest on ₹9000 for 4 years is ₹3600. What is the rate per year? (a) 9% (b) 40% (c) 11% (d) 10%
14. 14.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 70 sq cm (b) 18 sq cm (c) 56 sq cm (d) 36 sq cm
15. 15.What is the simple interest on ₹5500 at 10% per year for 3 years? (a) ₹2200 (b) ₹1650 (c) ₹7150 (d) ₹550
16. 16.Two ribbons are 8 cm and 36 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) 28 cm (c) 8 cm (d) 4 cm
17. 17.If x/2 + 1 = 8, what is x? (a) 14 (b) 15 (c) 7 (d) 18
18. 18.Two ribbons are 28 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 1 cm (c) 7 cm (d) 35 cm
19. 19.Every pair follows the same rule: 3 : 13, 5 : 17, 9 : 25. What is 4 : ? (a) 17 (b) 15 (c) 14 (d) 16
20. 20.The simple interest on ₹9500 for 3 years is ₹1140. What is the rate per year? (a) 12% (b) 3% (c) 4% (d) 5%
21. 21.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 18 cm (c) 36 cm (d) 77 cm
22. 22.Today is Sunday. What day of the week will it be after 67 days? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
23. 23.2.87 + 8.2 = ? (a) 10.97 (b) 3.69 (c) 11.07 (d) 11.17
24. 24.Every pair follows the same rule: 3 : 22, 4 : 23, 8 : 27. What is 2 : ? (a) 20 (b) 23 (c) 22 (d) 21
25. 25.If 23 April is a Sunday, what day of the week is 16 May? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
26. 26.A shopkeeper buys a toy for ₹280 and sells it for ₹224. What is his loss percent? (a) 15% (b) 56% (c) 20% (d) 25%
27. 27.Today is Wednesday. What day of the week will it be after 14 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
28. 28.What is the units digit of 3^23? (a) 3 (b) 9 (c) 1 (d) 7
29. 29.What is the value of the digit 3 in 73.651? (a) 0.03 (b) 3 (c) 0.3 (d) 30
30. 30.Two ribbons are 15 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 15 cm (c) 20 cm (d) 5 cm
31. 31.Every pair follows the same rule: 2 : 6, 3 : 7, 8 : 12. What is 4 : ? (a) 8 (b) 9 (c) 12 (d) 7
32. 32.What is 15% of 300? (a) 450 (b) 45 (c) 255 (d) 90
33. 33.What is the smallest number you must add to 197 to make it divisible by 12? (a) 5 (b) 8 (c) 6 (d) 7
34. 34.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 35 min (c) 250 min (d) 50 min
35. 35.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 15 (b) 34 (c) 37 (d) 46
36. 36.If 20 April is a Friday, what day of the week is 7 May? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
37. 37.Two ribbons are 9 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) 9 cm (b) 3 cm (c) 1 cm (d) 12 cm
38. 38.If 18 April is a Monday, what day of the week is 10 May? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
39. 39.The simple interest on ₹1500 for 4 years is ₹360. What is the rate per year? (a) 24% (b) 6% (c) 7% (d) 5%
40. 40.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm

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