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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 356 · 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.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) 40 min (b) 336 min (c) 84 min (d) 4 min
  2. 2.If 13 May is a Monday, what day of the week is 21 May? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  3. 3.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 315 min (c) 105 min (d) 36 min
  4. 4.Two ribbons are 9 cm and 12 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) 36 cm (c) 3 cm (d) 1 cm
  5. 5.What is 1/7 of 28? (a) 24 (b) 5 (c) 8 (d) 4
  6. 6.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 52 sq cm (d) 16 sq cm
  7. 7.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 4 : ? (a) 16 (b) 20 (c) 6 (d) 8
  8. 8.Which fraction is greater: 5/11 or 4/5? (a) 4/5 (b) 5/11 (c) They are equal
  9. 9.Every pair follows the same rule: 4 : 22, 6 : 24, 8 : 26. What is 5 : ? (a) 22 (b) 24 (c) 23 (d) 25
  10. 10.8.47 + 7.8 = ? (a) 16.27 (b) 16.37 (c) 9.25 (d) 16.17
  11. 11.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) 72 (d) 108
  12. 12.Which of these numbers is divisible by 4? (a) 3324 (b) 3329 (c) 3322 (d) 3327
  13. 13.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
  14. 14.If 12 September is a Wednesday, what day of the week is 3 October? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  15. 15.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 112 sq cm (c) 42 sq cm (d) 98 sq cm
  16. 16.Every pair follows the same rule: 6 : 19, 8 : 25, 9 : 28. What is 5 : ? (a) 17 (b) 16 (c) 15 (d) 18
  17. 17.Every pair follows the same rule: 3 : 11, 5 : 21, 7 : 31. What is 4 : ? (a) 12 (b) 17 (c) 16 (d) 15
  18. 18.A teacher has 56 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 56 (b) 448 (c) 8 (d) 4
  19. 19.If 15 January is a Sunday, what day of the week is 25 January? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  20. 20.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 70% (b) 15% (c) 10% (d) 5%
  21. 21.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 320 min (b) 80 min (c) 36 min (d) 4 min
  22. 22.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 48 sq cm (d) 32 sq cm
  23. 23.₹189 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹108 (b) ₹27 (c) ₹135 (d) ₹81
  24. 24.Every pair follows the same rule: 3 : 7, 4 : 14, 8 : 62. What is 9 : ? (a) 74 (b) 13 (c) 80 (d) 79
  25. 25.Every pair follows the same rule: 5 : 45, 6 : 54, 8 : 72. What is 2 : ? (a) 17 (b) 19 (c) 18 (d) 42
  26. 26.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 6 min (c) 540 min (d) 90 min
  27. 27.If 5 pens cost ₹55, how much do 7 pens cost? (a) ₹385 (b) ₹77 (c) ₹88 (d) ₹57
  28. 28.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 18 (b) 39 (c) 37 (d) 53
  29. 29.7 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 43 days (b) 7 days (c) 17 days (d) 42 days
  30. 30.If 8 May is a Monday, what day of the week is 20 May? (a) Saturday (b) Sunday (c) Monday (d) Friday
  31. 31.Which fraction is greater: 8/11 or 3/4? (a) 3/4 (b) They are equal (c) 8/11
  32. 32.What is the simple interest on ₹8500 at 7% per year for 4 years? (a) ₹10880 (b) ₹2380 (c) ₹2975 (d) ₹595
  33. 33.If 6 notebooks cost ₹150, how much do 10 notebooks cost? (a) ₹275 (b) ₹154 (c) ₹250 (d) ₹1500
  34. 34.Which fraction is greater: 1/4 or 2/7? (a) 2/7 (b) They are equal (c) 1/4
  35. 35.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 140 sq cm (d) 126 sq cm
  36. 36.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 52 days (b) 53 days (c) 19 days (d) 7 days
  37. 37.What is 5/9 of 81? (a) 36 (b) 9 (c) 54 (d) 45
  38. 38.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 15% (b) 10% (c) 42% (d) 20%
  39. 39.Every pair follows the same rule: 3 : 8, 7 : 28, 8 : 33. What is 2 : ? (a) 3 (b) 2 (c) 4 (d) 7
  40. 40.Every pair follows the same rule: 5 : 23, 6 : 26, 7 : 29. What is 8 : ? (a) 26 (b) 32 (c) 33 (d) 31

Answer key

  1. 84 min
  2. Tuesday
  3. 105 min
  4. 3 cm
  5. 4
  6. 39 sq cm
  7. 16
  8. 4/5
  9. 23
  10. 16.27
  11. 36
  12. 3324
  13. 18 sq cm
  14. Wednesday
  15. 98 sq cm
  16. 16
  17. 16
  18. 8
  19. Wednesday
  20. 10%
  21. 80 min
  22. 32 sq cm
  23. ₹108
  24. 79
  25. 18
  26. 90 min
  27. ₹77
  28. 53
  29. 42 days
  30. Saturday
  31. 3/4
  32. ₹2380
  33. ₹250
  34. 2/7
  35. 126 sq cm
  36. 52 days
  37. 45
  38. 15%
  39. 3
  40. 32

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