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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 448 · 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: 4 : 64, 5 : 125, 6 : 216. What is 2 : ? (a) 9 (b) 62 (c) 8 (d) 32
  2. 2.Two ribbons are 24 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 32 cm (c) 4 cm (d) 8 cm
  3. 3.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 56 cm (c) 28 cm (d) 48 cm
  4. 4.Every pair follows the same rule: 5 : 9, 6 : 11, 8 : 15. What is 2 : ? (a) 3 (b) 2 (c) 6 (d) 4
  5. 5.Every pair follows the same rule: 2 : 10, 4 : 20, 6 : 30. What is 3 : ? (a) 16 (b) 15 (c) 11 (d) 14
  6. 6.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 30 (d) 40
  7. 7.Which of these numbers is divisible by 6? (a) 1098 (b) 1106 (c) 1102 (d) 1093
  8. 8.What is the simple interest on ₹2000 at 2% per year for 5 years? (a) ₹2200 (b) ₹40 (c) ₹200 (d) ₹240
  9. 9.What is the average of all the whole numbers from 13 to 25? (a) 20 (b) 19 (c) 6 (d) 12
  10. 10.A shopkeeper buys a toy for ₹500 and sells it for ₹350. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  11. 11.In how many years will ₹4000 earn ₹960 simple interest at 12% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
  12. 12.3.98 + 4.4 = ? (a) 8.48 (b) 4.42 (c) 8.28 (d) 8.38
  13. 13.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 22 sq cm (c) 33 sq cm (d) 26 sq cm
  14. 14.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) 90 min (b) 270 min (c) 3 min (d) 33 min
  15. 15.What is the remainder when 105 is divided by 4? (a) 2 (b) 3 (c) 0 (d) 1
  16. 16.A bag marked ₹860 is sold at a 15% discount. What is its selling price? (a) ₹845 (b) ₹129 (c) ₹989 (d) ₹731
  17. 17.Today is Monday. What day of the week will it be after 51 days? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
  18. 18.If 3x + 10 = 22, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  19. 19.8.09 + 8.2 = ? (a) 16.39 (b) 16.29 (c) 16.19 (d) 8.91
  20. 20.Which fraction is greater: 2/9 or 9/10? (a) 2/9 (b) They are equal (c) 9/10
  21. 21.3/4 + 1/3 = ? (a) 13/12 (b) 7/6 (c) 1 (d) 4/7
  22. 22.Two ribbons are 72 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 648 cm (b) 72 cm (c) 3 cm (d) 9 cm
  23. 23.A bag marked ₹1880 is sold at a 25% discount. What is its selling price? (a) ₹1855 (b) ₹2350 (c) ₹470 (d) ₹1410
  24. 24.What is 5/7 of 49? (a) 42 (b) 14 (c) 35 (d) 7
  25. 25.Which of these numbers is divisible by 4? (a) 1521 (b) 1526 (c) 1520 (d) 1518
  26. 26.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 26 days (b) 13 days (c) 27 days (d) 28 days
  27. 27.Every pair follows the same rule: 2 : 2, 5 : 23, 9 : 79. What is 6 : ? (a) 35 (b) 34 (c) 6 (d) 37
  28. 28.If 7x + 16 = 121, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  29. 29.If 3x + 15 = 57, what is x? (a) 24 (b) 15 (c) 42 (d) 14
  30. 30.What is the value of the digit 2 in 21.347? (a) 2 (b) 20 (c) 0.2 (d) 0.02
  31. 31.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 49 (b) 37 (c) 44 (d) 79
  32. 32.A shopkeeper buys a toy for ₹240 and sells it for ₹180. What is his loss percent? (a) 20% (b) 25% (c) 60% (d) 30%
  33. 33.Which fraction is greater: 5/9 or 5/6? (a) They are equal (b) 5/6 (c) 5/9
  34. 34.Which of these numbers is divisible by 6? (a) 371 (b) 376 (c) 363 (d) 366
  35. 35.Every pair follows the same rule: 5 : 23, 6 : 28, 8 : 38. What is 2 : ? (a) 9 (b) 8 (c) 7 (d) 20
  36. 36.A shopkeeper buys a toy for ₹520 and sells it for ₹312. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  37. 37.If 9 mangoes cost ₹108, how much do 6 mangoes cost? (a) ₹72 (b) ₹648 (c) ₹84 (d) ₹105
  38. 38.If 14 January is a Wednesday, what day of the week is 25 January? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  39. 39.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 36 sq cm (c) 90 sq cm (d) 18 sq cm
  40. 40.If 24 October is a Wednesday, what day of the week is 8 November? (a) Thursday (b) Saturday (c) Wednesday (d) Friday

Answer key

  1. 8
  2. 8 cm
  3. 56 cm
  4. 3
  5. 15
  6. 10
  7. 1098
  8. ₹200
  9. 19
  10. 30%
  11. 2 years
  12. 8.38
  13. 22 sq cm
  14. 90 min
  15. 1
  16. ₹731
  17. Wednesday
  18. 4
  19. 16.29
  20. 9/10
  21. 13/12
  22. 9 cm
  23. ₹1410
  24. 35
  25. 1520
  26. 27 days
  27. 34
  28. 15
  29. 14
  30. 20
  31. 79
  32. 25%
  33. 5/6
  34. 366
  35. 8
  36. 40%
  37. ₹72
  38. Sunday
  39. 80 sq cm
  40. Thursday

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