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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 508 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.What is the simple interest on ₹4500 at 11% per year for 5 years? (a) ₹6975 (b) ₹495 (c) ₹2475 (d) ₹2970
  2. 2.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 26% (b) 30% (c) 20% (d) 25%
  3. 3.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 168 (c) 84 (d) 54
  4. 4.Today is Tuesday. What day of the week will it be after 75 days? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  5. 5.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) 35 min (b) 250 min (c) 50 min (d) 5 min
  6. 6.What is 15% of 420? (a) 357 (b) 63 (c) 126 (d) 630
  7. 7.What is 10% of 300? (a) 30 (b) 300 (c) 270 (d) 60
  8. 8.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 54 days (b) 19 days (c) 55 days (d) 5 days
  9. 9.What is the smallest number you must add to 176 to make it divisible by 3? (a) 2 (b) 1
  10. 10.4.11 + 8.6 = ? (a) 12.71 (b) 12.61 (c) 12.81 (d) 4.97
  11. 11.If 7x + 4 = 4x + 25, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  12. 12.What is the value of the digit 8 in 87.132? (a) 8 (b) 0.8 (c) 0.08 (d) 80
  13. 13.Every pair follows the same rule: 2 : 1, 8 : 61, 9 : 78. What is 4 : ? (a) 12 (b) 13 (c) 15 (d) 14
  14. 14.A shopkeeper buys a toy for ₹340 and sells it for ₹357. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 17%
  15. 15.If 9 December is a Wednesday, what day of the week is 24 December? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  16. 16.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 375 min (b) 5 min (c) 75 min (d) 40 min
  17. 17.₹176 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹22 (b) ₹88 (c) ₹110 (d) ₹66
  18. 18.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 220 cm (b) 31 cm (c) 51 cm (d) 62 cm
  19. 19.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 31 cm (c) 18 cm (d) 65 cm
  20. 20.What is the remainder when 143 is divided by 3? (a) 1 (b) 0 (c) 2
  21. 21.5.08 + 6.7 = ? (a) 11.88 (b) 11.68 (c) 11.78 (d) 5.75
  22. 22.What is the smallest number you must add to 191 to make it divisible by 3? (a) 2 (b) 1
  23. 23.What is the average of 35, 35, 40, 35, 54 and 77? (a) 47 (b) 48 (c) 45 (d) 46
  24. 24.If 2x + 9 = 19, what is x? (a) 14 (b) 5 (c) 10 (d) 6
  25. 25.The simple interest on ₹5500 for 2 years is ₹440. What is the rate per year? (a) 5% (b) 8% (c) 3% (d) 4%
  26. 26.What is the smallest number you must add to 355 to make it divisible by 10? (a) 4 (b) 7 (c) 5 (d) 6
  27. 27.In how many years will ₹1500 earn ₹180 simple interest at 4% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  28. 28.If 8 May is a Wednesday, what day of the week is 17 May? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  29. 29.If 18 September is a Monday, what day of the week is 10 October? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  30. 30.If 7x + 17 = 101, what is x? (a) 13 (b) 11 (c) 84 (d) 12
  31. 31.What is the simple interest on ₹1000 at 2% per year for 2 years? (a) ₹1040 (b) ₹60 (c) ₹20 (d) ₹40
  32. 32.4.86 + 3.8 = ? (a) 8.76 (b) 8.66 (c) 8.56 (d) 5.24
  33. 33.If 9 mangoes cost ₹45, how much do 10 mangoes cost? (a) ₹50 (b) ₹450 (c) ₹46 (d) ₹55
  34. 34.If 9 kites cost ₹99, how much do 3 kites cost? (a) ₹33 (b) ₹44 (c) ₹297 (d) ₹93
  35. 35.If 5x + 26 = 66, what is x? (a) 9 (b) 7 (c) 40 (d) 8
  36. 36.1/5 + 1/7 = ? (a) 1/6 (b) 13/35 (c) 11/35 (d) 12/35
  37. 37.Every pair follows the same rule: 3 : 5, 5 : 9, 8 : 15. What is 2 : ? (a) 5 (b) 3 (c) 4 (d) 2
  38. 38.9.84 + 7.5 = ? (a) 17.24 (b) 17.34 (c) 10.59 (d) 17.44
  39. 39.Every pair follows the same rule: 2 : 3, 4 : 7, 9 : 17. What is 3 : ? (a) 7 (b) 4 (c) 6 (d) 5
  40. 40.Today is Tuesday. What day of the week will it be after 14 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday

Answer key

  1. ₹2475
  2. 25%
  3. 84
  4. Sunday
  5. 50 min
  6. 63
  7. 30
  8. 54 days
  9. 1
  10. 12.71
  11. 7
  12. 80
  13. 13
  14. 5%
  15. Thursday
  16. 75 min
  17. ₹110
  18. 62 cm
  19. 36 cm
  20. 2
  21. 11.78
  22. 1
  23. 46
  24. 5
  25. 4%
  26. 5
  27. 3 years
  28. Friday
  29. Tuesday
  30. 12
  31. ₹40
  32. 8.66
  33. ₹50
  34. ₹33
  35. 8
  36. 12/35
  37. 3
  38. 17.34
  39. 5
  40. Tuesday

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