← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 258 · 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 8x + 13 = 3x + 18, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  2. 2.A bag marked ₹780 is sold at a 25% discount. What is its selling price? (a) ₹585 (b) ₹755 (c) ₹975 (d) ₹195
  3. 3.What is 1/2 of 22? (a) 10 (b) 11 (c) 22 (d) 12
  4. 4.Today is Saturday. What day of the week will it be after 11 days? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
  5. 5.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 2 (b) 7 (c) 9 (d) 8
  6. 6.If x/3 + 7 = 11, what is x? (a) 12 (b) 4 (c) 26 (d) 54
  7. 7.A shopkeeper buys a toy for ₹780 and sells it for ₹741. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 39%
  8. 8.If x/3 + 9 = 21, what is x? (a) 54 (b) 90 (c) 36 (d) 12
  9. 9.What is the remainder when 767 is divided by 10? (a) 7 (b) 3 (c) 8 (d) 6
  10. 10.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 8 (c) 47 (d) 7
  11. 11.If 3x + 14 = x + 32, what is x? (a) 23 (b) 10 (c) 11 (d) 9
  12. 12.What is the smallest number you must add to 132 to make it divisible by 9? (a) 6 (b) 3 (c) 4 (d) 2
  13. 13.Which fraction is greater: 1/11 or 1/6? (a) They are equal (b) 1/11 (c) 1/6
  14. 14.What is 25% of 860? (a) 430 (b) 645 (c) 215 (d) 2150
  15. 15.What is 40% of 580? (a) 464 (b) 348 (c) 232 (d) 2320
  16. 16.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 10% (b) 20% (c) 99% (d) 15%
  17. 17.Which is the greatest: 0.023, 0.248, 0.35, 0.3? (a) 0.023 (b) 0.248 (c) 0.35 (d) 0.3
  18. 18.₹3500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹4200 (b) ₹3640 (c) ₹4060 (d) ₹560
  19. 19.What is the units digit of 9^21? (a) 9 (b) 1 (c) 7 (d) 8
  20. 20.What is the simple interest on ₹9000 at 2% per year for 4 years? (a) ₹720 (b) ₹9720 (c) ₹180 (d) ₹900
  21. 21.If 5 pens cost ₹120, how much do 12 pens cost? (a) ₹312 (b) ₹288 (c) ₹127 (d) ₹1440
  22. 22.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 2 min (c) 28 min (d) 18 min
  23. 23.Which of these numbers is divisible by 4? (a) 3197 (b) 3190 (c) 3193 (d) 3192
  24. 24.Today is Friday. What day of the week will it be after 49 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  25. 25.If 13 May is a Tuesday, what day of the week is 25 May? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  26. 26.What is 60% of 640? (a) 3840 (b) 256 (c) 768 (d) 384
  27. 27.What is the average of all the whole numbers from 11 to 47? (a) 30 (b) 29 (c) 36 (d) 18
  28. 28.Today is Wednesday. What day of the week will it be after 23 days? (a) Sunday (b) Friday (c) Saturday (d) Thursday
  29. 29.Which is the greatest: 0.25, 0.2, 0.079, 0.111? (a) 0.25 (b) 0.2 (c) 0.079 (d) 0.111
  30. 30.₹9000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹9540 (b) ₹10080 (c) ₹1080 (d) ₹10620
  31. 31.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 1 day (c) 7 days (d) 6 days
  32. 32.In how many years will ₹3000 earn ₹240 simple interest at 2% per year? (a) 8 years (b) 3 years (c) 5 years (d) 4 years
  33. 33.Every pair follows the same rule: 2 : 19, 6 : 39, 8 : 49. What is 4 : ? (a) 28 (b) 30 (c) 21 (d) 29
  34. 34.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 31%
  35. 35.If 8x + 21 = 61, what is x? (a) 40 (b) 6 (c) 5 (d) 4
  36. 36.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 270 min (c) 90 min (d) 3 min
  37. 37.What is the units digit of 9^12? (a) 9 (b) 2 (c) 0 (d) 1
  38. 38.What is the average of all the whole numbers from 17 to 53? (a) 34 (b) 18 (c) 36 (d) 35
  39. 39.Which fraction is greater: 1/6 or 5/7? (a) They are equal (b) 1/6 (c) 5/7
  40. 40.A teacher has 9 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 36 (b) 3 (c) 9 (d) 1

Answer key

  1. 1
  2. ₹585
  3. 11
  4. Wednesday
  5. 8
  6. 12
  7. 5%
  8. 36
  9. 7
  10. 7
  11. 9
  12. 3
  13. 1/6
  14. 215
  15. 232
  16. 15%
  17. 0.35
  18. ₹4060
  19. 9
  20. ₹720
  21. ₹288
  22. 28 min
  23. 3192
  24. Friday
  25. Sunday
  26. 384
  27. 29
  28. Friday
  29. 0.25
  30. ₹10080
  31. 7 days
  32. 4 years
  33. 29
  34. 30%
  35. 5
  36. 90 min
  37. 1
  38. 35
  39. 5/7
  40. 3

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