← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 148 · 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.If 28 April is a Saturday, what day of the week is 5 May? (a) Friday (b) Monday (c) Saturday (d) Sunday
  2. 2.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 525 min (c) 5 min (d) 50 min
  3. 3.If 30 June is a Wednesday, what day of the week is 2 July? (a) Friday (b) Thursday (c) Sunday (d) Saturday
  4. 4.If 8 notebooks cost ₹160, how much do 10 notebooks cost? (a) ₹220 (b) ₹1600 (c) ₹162 (d) ₹200
  5. 5.2/8 + 4/8 = ? (a) 5/8 (b) 3/8 (c) 3/4 (d) 7/8
  6. 6.Every pair follows the same rule: 2 : 18, 5 : 33, 8 : 48. What is 4 : ? (a) 28 (b) 20 (c) 36 (d) 29
  7. 7.If 5x + 9 = x + 25, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  8. 8.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 360 min (b) 6 min (c) 42 min (d) 60 min
  9. 9.3 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 2 days (b) 8 days (c) 1 day (d) 7 days
  10. 10.Which is the smallest: 0.062, 0.5, 0.494, 0.59? (a) 0.062 (b) 0.5 (c) 0.494 (d) 0.59
  11. 11.What is 5% of 600? (a) 570 (b) 60 (c) 30 (d) 300
  12. 12.What is 2/5 of 55? (a) 23 (b) 11 (c) 22 (d) 33
  13. 13.4 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 8 days (c) 5 days (d) 20 days
  14. 14.Which is the greatest: 0.064, 0.524, 0.6, 0.67? (a) 0.064 (b) 0.524 (c) 0.6 (d) 0.67
  15. 15.Which fraction is greater: 5/12 or 3/4? (a) They are equal (b) 3/4 (c) 5/12
  16. 16.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 24 (c) 12 (d) 13
  17. 17.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 92 (b) 47 (c) 14 (d) 59
  18. 18.Every pair follows the same rule: 3 : 13, 4 : 15, 6 : 19. What is 7 : ? (a) 20 (b) 21 (c) 22 (d) 17
  19. 19.If x/3 + 10 = 14, what is x? (a) 32 (b) 12 (c) 4 (d) 72
  20. 20.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 51 (b) 24 (c) 16 (d) 15
  21. 21.Every pair follows the same rule: 2 : 8, 4 : 16, 9 : 36. What is 5 : ? (a) 11 (b) 21 (c) 19 (d) 20
  22. 22.Today is Wednesday. What day of the week will it be after 58 days? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  23. 23.If x/4 + 14 = 26, what is x? (a) 90 (b) 160 (c) 12 (d) 48
  24. 24.₹9000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹10080 (b) ₹1080 (c) ₹9360 (d) ₹10440
  25. 25.If 9x − 53 = 10, what is x? (a) 6 (b) 7 (c) 8 (d) 63
  26. 26.What is the average of all the whole numbers from 25 to 55? (a) 30 (b) 15 (c) 40 (d) 41
  27. 27.Which is the greatest: 0.81, 0.077, 0.784, 0.8? (a) 0.81 (b) 0.077 (c) 0.784 (d) 0.8
  28. 28.What is 60% of 940? (a) 564 (b) 5640 (c) 376 (d) 1128
  29. 29.If 3x + 9 = 24, what is x? (a) 15 (b) 5 (c) 11 (d) 6
  30. 30.If 5 kites cost ₹40, how much do 11 kites cost? (a) ₹46 (b) ₹440 (c) ₹88 (d) ₹96
  31. 31.If 7x − 29 = 6, what is x? (a) 6 (b) 35 (c) 5 (d) 4
  32. 32.₹272 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹102 (b) ₹136 (c) ₹34 (d) ₹170
  33. 33.If 4x + 3 = 35, what is x? (a) 7 (b) 9 (c) 8 (d) 32
  34. 34.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 44 (b) 24 (c) 40 (d) 20
  35. 35.A teacher has 40 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 200 (c) 40 (d) 10
  36. 36.Today is Thursday. What day of the week will it be after 31 days? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  37. 37.A bag marked ₹280 is sold at a 30% discount. What is its selling price? (a) ₹196 (b) ₹84 (c) ₹364 (d) ₹250
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  39. 39.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 160 sq cm (b) 176 sq cm (c) 26 sq cm (d) 52 sq cm
  40. 40.₹1500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹2040 (b) ₹540 (c) ₹1635 (d) ₹2175

Answer key

  1. Saturday
  2. 105 min
  3. Friday
  4. ₹200
  5. 3/4
  6. 28
  7. 4
  8. 60 min
  9. 2 days
  10. 0.062
  11. 30
  12. 22
  13. 20 days
  14. 0.67
  15. 3/4
  16. 12
  17. 59
  18. 21
  19. 12
  20. 15
  21. 20
  22. Friday
  23. 48
  24. ₹10080
  25. 7
  26. 40
  27. 0.81
  28. 564
  29. 5
  30. ₹88
  31. 5
  32. ₹170
  33. 8
  34. 40
  35. 10
  36. Sunday
  37. ₹196
  38. 64 sq cm
  39. 160 sq cm
  40. ₹2040

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