← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 377 · 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. 1.6.62 + 5.7 = ? (a) 12.42 (b) 12.32 (c) 12.22 (d) 7.19
  2. 2.What is the smallest number you must add to 70 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  3. 3.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 5 : ? (a) 126 (b) 5 (c) 125 (d) 101
  4. 4.₹8000 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹10000 (b) ₹2000 (c) ₹10400 (d) ₹8400
  5. 5.4/6 + 3/4 = ? (a) 7/10 (b) 4/3 (c) 17/12 (d) 3/2
  6. 6.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) 40 min (b) 75 min (c) 5 min (d) 375 min
  7. 7.Every pair follows the same rule: 2 : 5, 6 : 9, 7 : 10. What is 9 : ? (a) 14 (b) 12 (c) 11 (d) 13
  8. 8.₹3000 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹3060 (b) ₹3300 (c) ₹300 (d) ₹3360
  9. 9.1.56 + 9.1 = ? (a) 10.56 (b) 2.47 (c) 10.76 (d) 10.66
  10. 10.What is 4/9 of 36? (a) 17 (b) 4 (c) 20 (d) 16
  11. 11.What is 5% of 940? (a) 893 (b) 470 (c) 94 (d) 47
  12. 12.Every pair follows the same rule: 2 : 8, 4 : 16, 6 : 24. What is 9 : ? (a) 15 (b) 35 (c) 37 (d) 36
  13. 13.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 48 (b) 20 (c) 96 (d) 24
  14. 14.4/5 + 1/3 = ? (a) 6/5 (b) 17/15 (c) 16/15 (d) 5/8
  15. 15.If 4 mangoes cost ₹64, how much do 5 mangoes cost? (a) ₹96 (b) ₹65 (c) ₹80 (d) ₹320
  16. 16.Today is Sunday. What day of the week will it be after 23 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  17. 17.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) 84 min (b) 4 min (c) 40 min (d) 336 min
  18. 18.If 4 mangoes cost ₹24, how much do 8 mangoes cost? (a) ₹192 (b) ₹54 (c) ₹28 (d) ₹48
  19. 19.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 1 : ? (a) 4 (b) 1 (c) 2 (d) 7
  20. 20.Which of these numbers is divisible by 11? (a) 1110 (b) 1124 (c) 1117 (d) 1111
  21. 21.What is the value of the digit 8 in 54.873? (a) 0.008 (b) 0.08 (c) 8 (d) 0.8
  22. 22.If 4x + 18 = x + 48, what is x? (a) 22 (b) 6 (c) 11 (d) 10
  23. 23.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 65 (b) 4 (c) 64 (d) 34
  24. 24.Every pair follows the same rule: 2 : 10, 5 : 31, 9 : 87. What is 3 : ? (a) 15 (b) 16 (c) 11 (d) 3
  25. 25.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 40 (b) 22 (c) 34 (d) 16
  26. 26.If 15 November is a Monday, what day of the week is 19 December? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  27. 27.If 18 October is a Wednesday, what day of the week is 5 November? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  28. 28.A shopkeeper buys a toy for ₹560 and sells it for ₹672. What is his profit percent? (a) 20% (b) 25% (c) 21% (d) 15%
  29. 29.Today is Friday. What day of the week will it be after 25 days? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
  30. 30.Which fraction is greater: 8/9 or 1/7? (a) They are equal (b) 1/7 (c) 8/9
  31. 31.If 3x − 12 = 3, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  32. 32.What is 1/4 of 24? (a) 18 (b) 12 (c) 7 (d) 6
  33. 33.What is the remainder when 406 is divided by 12? (a) 2 (b) 9 (c) 10 (d) 11
  34. 34.What is the value of the digit 3 in 97.653? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
  35. 35.What is the value of the digit 3 in 53.941? (a) 3 (b) 0.3 (c) 30 (d) 0.03
  36. 36.What is 60% of 160? (a) 96 (b) 960 (c) 192 (d) 64
  37. 37.What is the average of 79, 70, 72, 72, 68 and 107? (a) 77 (b) 78 (c) 80 (d) 79
  38. 38.If 15 January is a Monday, what day of the week is 1 February? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
  39. 39.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 20 days (b) 5 days (c) 12 days (d) 8 days
  40. 40.If 6 mangoes cost ₹24, how much do 3 mangoes cost? (a) ₹72 (b) ₹16 (c) ₹21 (d) ₹12

Answer key

  1. 12.32
  2. 2
  3. 125
  4. ₹10000
  5. 17/12
  6. 75 min
  7. 12
  8. ₹3300
  9. 10.66
  10. 16
  11. 47
  12. 36
  13. 24
  14. 17/15
  15. ₹80
  16. Tuesday
  17. 84 min
  18. ₹48
  19. 1
  20. 1111
  21. 0.8
  22. 10
  23. 64
  24. 15
  25. 34
  26. Sunday
  27. Sunday
  28. 20%
  29. Tuesday
  30. 8/9
  31. 5
  32. 6
  33. 10
  34. 0.003
  35. 3
  36. 96
  37. 78
  38. Thursday
  39. 20 days
  40. ₹12

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