← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 619 · 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.Every pair follows the same rule: 3 : 21, 5 : 35, 9 : 63. What is 4 : ? (a) 22 (b) 28 (c) 29 (d) 27
  2. 2.In how many years will ₹7500 earn ₹2250 simple interest at 6% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
  3. 3.Which fraction is greater: 3/5 or 2/7? (a) 3/5 (b) 2/7 (c) They are equal
  4. 4.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 480 min (b) 44 min (c) 120 min (d) 4 min
  5. 5.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 72% (b) 10% (c) 5% (d) 15%
  6. 6.Every pair follows the same rule: 3 : 11, 5 : 17, 7 : 23. What is 4 : ? (a) 14 (b) 15 (c) 12 (d) 13
  7. 7.If 27 May is a Sunday, what day of the week is 3 June? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  8. 8.Which fraction is greater: 4/5 or 2/3? (a) 4/5 (b) They are equal (c) 2/3
  9. 9.₹144 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹16 (b) ₹72 (c) ₹128 (d) ₹144
  10. 10.6 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 13 days (b) 12 days (c) 15 days (d) 11 days
  11. 11.What is 1/3 of 9? (a) 3 (b) 6 (c) 4 (d) 2
  12. 12.Every pair follows the same rule: 5 : 26, 7 : 50, 9 : 82. What is 2 : ? (a) 4 (b) 5 (c) 6 (d) 23
  13. 13.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 28 sq cm (c) 54 sq cm (d) 14 sq cm
  14. 14.If 8x + 17 = x + 31, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  15. 15.₹1500 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹1620 (b) ₹1980 (c) ₹1860 (d) ₹360
  16. 16.What is 1/2 of 22? (a) 22 (b) 12 (c) 11 (d) 10
  17. 17.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
  18. 18.2/3 + 2/6 = ? (a) 4/9 (b) 7/6 (c) 1 (d) 5/6
  19. 19.Every pair follows the same rule: 4 : 15, 5 : 16, 9 : 20. What is 2 : ? (a) 13 (b) 14 (c) 12 (d) 15
  20. 20.8.79 + 2.5 = ? (a) 11.19 (b) 11.39 (c) 11.29 (d) 9.04
  21. 21.What is the smallest number you must add to 214 to make it divisible by 3? (a) 1 (b) 2
  22. 22.What is the value of the digit 5 in 35.724? (a) 5 (b) 50 (c) 0.05 (d) 0.5
  23. 23.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 26 days (c) 27 days (d) 28 days
  24. 24.Every pair follows the same rule: 7 : 49, 8 : 64, 9 : 81. What is 5 : ? (a) 25 (b) 35 (c) 13 (d) 47
  25. 25.A bag marked ₹1220 is sold at a 30% discount. What is its selling price? (a) ₹1190 (b) ₹854 (c) ₹366 (d) ₹1586
  26. 26.What is the average of 62, 71, 61, 57 and 59? (a) 62 (b) 63 (c) 61 (d) 64
  27. 27.If 12 June is a Sunday, what day of the week is 6 July? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  28. 28.Every pair follows the same rule: 2 : 14, 3 : 21, 4 : 28. What is 6 : ? (a) 18 (b) 42 (c) 41 (d) 43
  29. 29.Today is Wednesday. What day of the week will it be after 94 days? (a) Friday (b) Sunday (c) Saturday (d) Monday
  30. 30.What is the average of all the whole numbers from 17 to 23? (a) 6 (b) 20 (c) 21 (d) 3
  31. 31.What is the remainder when 330 is divided by 12? (a) 5 (b) 8 (c) 6 (d) 7
  32. 32.5.12 + 6.6 = ? (a) 11.82 (b) 11.62 (c) 5.78 (d) 11.72
  33. 33.2/3 + 3/7 = ? (a) 22/21 (b) 1/2 (c) 23/21 (d) 8/7
  34. 34.Which of these numbers is divisible by 9? (a) 6150 (b) 6147 (c) 6164 (d) 6143
  35. 35.Every pair follows the same rule: 2 : 11, 8 : 71, 9 : 88. What is 5 : ? (a) 32 (b) 33 (c) 14 (d) 20
  36. 36.What is the value of the digit 2 in 46.283? (a) 0.2 (b) 2 (c) 0.002 (d) 0.02
  37. 37.What is 15% of 340? (a) 51 (b) 289 (c) 102 (d) 510
  38. 38.Which fraction is greater: 4/9 or 2/3? (a) They are equal (b) 2/3 (c) 4/9
  39. 39.A teacher has 20 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 2 (c) 20 (d) 4
  40. 40.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 30 cm

Answer key

  1. 28
  2. 5 years
  3. 3/5
  4. 120 min
  5. 10%
  6. 14
  7. Sunday
  8. 4/5
  9. ₹128
  10. 12 days
  11. 3
  12. 5
  13. 45 sq cm
  14. 2
  15. ₹1860
  16. 11
  17. 48 sq cm
  18. 1
  19. 13
  20. 11.29
  21. 2
  22. 5
  23. 27 days
  24. 25
  25. ₹854
  26. 62
  27. Wednesday
  28. 42
  29. Saturday
  30. 20
  31. 6
  32. 11.72
  33. 23/21
  34. 6147
  35. 32
  36. 0.2
  37. 51
  38. 2/3
  39. 4
  40. 32 cm

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad