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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 122 · 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 5 pens cost ₹85, how much do 6 pens cost? (a) ₹86 (b) ₹102 (c) ₹510 (d) ₹119
  2. 2.If 1 December is a Thursday, what day of the week is 14 December? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  3. 3.A bag marked ₹260 is sold at a 50% discount. What is its selling price? (a) ₹210 (b) ₹131 (c) ₹390 (d) ₹130
  4. 4.What is 3/5 of 25? (a) 10 (b) 5 (c) 15 (d) 20
  5. 5.What is the value of the digit 3 in 67.324? (a) 0.003 (b) 0.03 (c) 3 (d) 0.3
  6. 6.Which fraction is greater: 8/11 or 4/9? (a) 8/11 (b) They are equal (c) 4/9
  7. 7.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 35 min (c) 5 min (d) 60 min
  8. 8.What is the average of all the whole numbers from 43 to 49? (a) 6 (b) 3 (c) 46 (d) 47
  9. 9.If 2x + 16 = 38, what is x? (a) 11 (b) 27 (c) 12 (d) 22
  10. 10.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 48 min (c) 2 min (d) 24 min
  11. 11.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 8 days (d) 1 day
  12. 12.A shopkeeper buys a toy for ₹840 and sells it for ₹672. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  13. 13.What is the simple interest on ₹8500 at 8% per year for 3 years? (a) ₹680 (b) ₹2720 (c) ₹10540 (d) ₹2040
  14. 14.What is the average of all the whole numbers from 22 to 42? (a) 32 (b) 33 (c) 20 (d) 10
  15. 15.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 84% (b) 20% (c) 15% (d) 10%
  16. 16.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 100 sq cm (c) 19 sq cm (d) 90 sq cm
  17. 17.What is the remainder when 366 is divided by 7? (a) 1 (b) 5 (c) 2 (d) 3
  18. 18.Every pair follows the same rule: 5 : 25, 6 : 36, 8 : 64. What is 4 : ? (a) 24 (b) 20 (c) 16 (d) 8
  19. 19.₹7500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹9375 (b) ₹9750 (c) ₹7875 (d) ₹1875
  20. 20.If 9 notebooks cost ₹45, how much do 10 notebooks cost? (a) ₹55 (b) ₹50 (c) ₹450 (d) ₹46
  21. 21.If 10 March is a Thursday, what day of the week is 13 April? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  22. 22.₹7000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹1400 (b) ₹7350 (c) ₹8750 (d) ₹8400
  23. 23.What is the simple interest on ₹3500 at 10% per year for 2 years? (a) ₹1050 (b) ₹700 (c) ₹4200 (d) ₹350
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 225 sq cm (d) 30 sq cm
  25. 25.Two ribbons are 36 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) 45 cm (b) 9 cm (c) 3 cm (d) 36 cm
  26. 26.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 68 (b) 28 (c) 82 (d) 61
  27. 27.If 8x + 27 = 67, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  28. 28.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 216 sq cm (c) 29 sq cm (d) 198 sq cm
  29. 29.Every pair follows the same rule: 3 : 17, 6 : 44, 9 : 89. What is 8 : ? (a) 74 (b) 22 (c) 72 (d) 73
  30. 30.What is 20% of 140? (a) 56 (b) 280 (c) 28 (d) 112
  31. 31.What is the average of 39, 27, 35, 16, 18 and 15? (a) 25 (b) 26 (c) 30 (d) 24
  32. 32.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 504 min (b) 84 min (c) 6 min (d) 54 min
  33. 33.What is 40% of 560? (a) 2240 (b) 336 (c) 224 (d) 448
  34. 34.What is the units digit of 2^46? (a) 6 (b) 8 (c) 4 (d) 2
  35. 35.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 24 min (c) 2 min (d) 140 min
  36. 36.If 14 July is a Saturday, what day of the week is 13 August? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  37. 37.What is 5% of 400? (a) 40 (b) 380 (c) 200 (d) 20
  38. 38.Which fraction is greater: 4/9 or 1/7? (a) They are equal (b) 1/7 (c) 4/9
  39. 39.In how many years will ₹8000 earn ₹3520 simple interest at 11% per year? (a) 8 years (b) 3 years (c) 5 years (d) 4 years
  40. 40.8.53 + 2.7 = ? (a) 11.23 (b) 8.8 (c) 11.13 (d) 11.33

Answer key

  1. ₹102
  2. Wednesday
  3. ₹130
  4. 15
  5. 0.3
  6. 8/11
  7. 60 min
  8. 46
  9. 11
  10. 24 min
  11. 7 days
  12. 20%
  13. ₹2040
  14. 32
  15. 15%
  16. 90 sq cm
  17. 2
  18. 16
  19. ₹9375
  20. ₹50
  21. Wednesday
  22. ₹8400
  23. ₹700
  24. 225 sq cm
  25. 9 cm
  26. 82
  27. 5
  28. 198 sq cm
  29. 72
  30. 28
  31. 25
  32. 84 min
  33. 224
  34. 4
  35. 70 min
  36. Monday
  37. 20
  38. 4/9
  39. 4 years
  40. 11.23

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