← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 815 · 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.What is the simple interest on ₹2000 at 8% per year for 2 years? (a) ₹160 (b) ₹480 (c) ₹320 (d) ₹2320
  2. 2.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 11 days (d) 1 day
  3. 3.Two bells ring every 12 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 32 min (c) 4 min (d) 240 min
  4. 4.If 9 mangoes cost ₹153, how much do 8 mangoes cost? (a) ₹136 (b) ₹1224 (c) ₹153 (d) ₹152
  5. 5.Which of these numbers is divisible by 9? (a) 7460 (b) 7478 (c) 7468 (d) 7461
  6. 6.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 27 min (c) 60 min (d) 3 min
  7. 7.If 5x − 12 = 53, what is x? (a) 13 (b) 12 (c) 65 (d) 14
  8. 8.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 112 min (c) 22 min (d) 2 min
  9. 9.What is 1/2 of 16? (a) 9 (b) 8 (c) 16 (d) 7
  10. 10.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 6 : ? (a) 120 (b) 216 (c) 217 (d) 6
  11. 11.7.58 + 1.4 = ? (a) 8.98 (b) 7.72 (c) 9.08 (d) 8.88
  12. 12.₹187 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹153 (b) ₹170 (c) ₹34 (d) ₹17
  13. 13.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 48 sq cm (d) 60 sq cm
  14. 14.Today is Tuesday. What day of the week will it be after 44 days? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
  15. 15.A shopkeeper buys a toy for ₹300 and sells it for ₹450. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  16. 16.If 2 mangoes cost ₹14, how much do 10 mangoes cost? (a) ₹140 (b) ₹70 (c) ₹77 (d) ₹22
  17. 17.Which fraction is greater: 3/7 or 1/11? (a) 1/11 (b) They are equal (c) 3/7
  18. 18.What is the average of all the whole numbers from 44 to 50? (a) 6 (b) 3 (c) 47 (d) 48
  19. 19.What is 6/7 of 84? (a) 12 (b) 73 (c) 84 (d) 72
  20. 20.₹2500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹2725 (b) ₹450 (c) ₹2950 (d) ₹3175
  21. 21.Which fraction is greater: 2/7 or 1/6? (a) 1/6 (b) They are equal (c) 2/7
  22. 22.What is the remainder when 439 is divided by 9? (a) 2 (b) 8 (c) 6 (d) 7
  23. 23.What is the units digit of 4^11? (a) 5 (b) 4 (c) 3 (d) 6
  24. 24.What is the value of the digit 2 in 65.239? (a) 2 (b) 0.002 (c) 0.2 (d) 0.02
  25. 25.6 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 9 days (b) 11 days (c) 19 days (d) 25 days
  26. 26.₹6500 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹7410 (b) ₹7865 (c) ₹910 (d) ₹6955
  27. 27.₹315 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹35 (b) ₹280 (c) ₹315 (d) ₹281
  28. 28.Two ribbons are 15 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 90 cm (c) 3 cm (d) 1 cm
  29. 29.If 2 mangoes cost ₹26, how much do 5 mangoes cost? (a) ₹130 (b) ₹78 (c) ₹65 (d) ₹29
  30. 30.If 3x + 13 = 19, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  31. 31.If 12 October is a Tuesday, what day of the week is 24 October? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  32. 32.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹215 (b) ₹835 (c) ₹645 (d) ₹1075
  33. 33.A bag marked ₹1800 is sold at a 50% discount. What is its selling price? (a) ₹2700 (b) ₹900 (c) ₹1750 (d) ₹901
  34. 34.If 3x + 12 = x + 16, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  35. 35.Which is the smallest: 0.195, 0.2, 0.021, 0.26? (a) 0.195 (b) 0.2 (c) 0.021 (d) 0.26
  36. 36.Today is Wednesday. What day of the week will it be after 75 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
  37. 37.A shopkeeper buys a toy for ₹900 and sells it for ₹720. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  38. 38.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
  39. 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  40. 40.If x/4 + 6 = 13, what is x? (a) 46 (b) 76 (c) 28 (d) 7

Answer key

  1. ₹320
  2. 2 days
  3. 60 min
  4. ₹136
  5. 7461
  6. 60 min
  7. 13
  8. 56 min
  9. 8
  10. 216
  11. 8.98
  12. ₹153
  13. 48 sq cm
  14. Thursday
  15. 50%
  16. ₹70
  17. 3/7
  18. 47
  19. 72
  20. ₹2950
  21. 2/7
  22. 7
  23. 4
  24. 0.2
  25. 9 days
  26. ₹7410
  27. ₹280
  28. 3 cm
  29. ₹65
  30. 2
  31. Sunday
  32. ₹645
  33. ₹900
  34. 2
  35. 0.021
  36. Monday
  37. 20%
  38. 25%
  39. 24 sq cm
  40. 28

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