Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 299 · 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.₹8500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹8840 (b) ₹1020 (c) ₹9520 (d) ₹9860
2. 2.What is 1/2 of 20? (a) 20 (b) 9 (c) 10 (d) 11
3. 3.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 5 : ? (a) 11 (b) 20 (c) 125 (d) 153
4. 4.Every pair follows the same rule: 3 : 6, 6 : 15, 9 : 24. What is 4 : ? (a) 7 (b) 9 (c) 10 (d) 8
5. 5.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 190 cm (d) 48 cm
6. 6.Two ribbons are 12 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 4 cm (c) 20 cm (d) 2 cm
7. 7.Which of these numbers is divisible by 11? (a) 481 (b) 490 (c) 499 (d) 484
8. 8.If 7x + 25 = 109, what is x? (a) 13 (b) 11 (c) 12 (d) 84
9. 9.2.66 + 2.9 = ? (a) 2.95 (b) 5.46 (c) 5.56 (d) 5.66
10. 10.The simple interest on ₹2000 for 4 years is ₹720. What is the rate per year? (a) 36% (b) 8% (c) 9% (d) 10%
11. 11.If 2 January is a Wednesday, what day of the week is 11 January? (a) Sunday (b) Thursday (c) Saturday (d) Friday
12. 12.What is the average of 74, 71, 65, 68, 62 and 20? (a) 61 (b) 59 (c) 60 (d) 72
13. 13.Which is the smallest: 0.84, 0.022, 0.8, 0.781? (a) 0.84 (b) 0.022 (c) 0.8 (d) 0.781
14. 14.What is the smallest number you must add to 199 to make it divisible by 6? (a) 3 (b) 4 (c) 5 (d) 1
15. 15.Which is the greatest: 0.49, 0.039, 0.4, 0.338? (a) 0.49 (b) 0.039 (c) 0.4 (d) 0.338
16. 16.If 5x − 21 = 14, what is x? (a) 7 (b) 35 (c) 6 (d) 8
17. 17.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 18 sq cm (d) 21 sq cm
18. 18.Every pair follows the same rule: 3 : 11, 5 : 19, 8 : 31. What is 6 : ? (a) 14 (b) 23 (c) 22 (d) 24
19. 19.₹54 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹30 (b) ₹27 (c) ₹24 (d) ₹6
20. 20.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 720 min (c) 6 min (d) 54 min
21. 21.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 54 min (c) 3 min (d) 15 min
22. 22.In how many years will ₹6000 earn ₹2160 simple interest at 9% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
23. 23.What is the average of 18, 24, 38, 23, 34 and 31? (a) 28 (b) 30 (c) 29 (d) 27
24. 24.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 56 cm (c) 28 cm (d) 45 cm
25. 25.9 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 5 days (c) 12 days (d) 13 days
26. 26.What is the value of the digit 5 in 94.156? (a) 0.5 (b) 5 (c) 0.005 (d) 0.05
27. 27.Which fraction is greater: 7/8 or 4/11? (a) 4/11 (b) They are equal (c) 7/8
28. 28.Every pair follows the same rule: 3 : 9, 5 : 25, 7 : 49. What is 8 : ? (a) 24 (b) 14 (c) 64 (d) 61
29. 29.If 3x − 9 = 24, what is x? (a) 12 (b) 5 (c) 33 (d) 11
30. 30.What is the remainder when 197 is divided by 7? (a) 6 (b) 2 (c) 0 (d) 1
31. 31.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 756 min (b) 6 min (c) 60 min (d) 126 min
32. 32.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 144 sq cm (d) 121 sq cm
33. 33.What is the average of all the whole numbers from 43 to 59? (a) 16 (b) 52 (c) 51 (d) 8
34. 34.What is the units digit of 3^23? (a) 9 (b) 7 (c) 3 (d) 1
35. 35.Which fraction is greater: 5/7 or 1/3? (a) 1/3 (b) They are equal (c) 5/7
36. 36.If 5x − 7 = 58, what is x? (a) 12 (b) 13 (c) 14 (d) 65
37. 37.A teacher has 32 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 32 (c) 8 (d) 160
38. 38.If 10 January is a Friday, what day of the week is 23 January? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
39. 39.What is the average of all the whole numbers from 43 to 71? (a) 28 (b) 14 (c) 58 (d) 57
40. 40.Two ribbons are 33 cm and 44 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) 132 cm (c) 33 cm (d) 11 cm

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