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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 162 · 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 ₹2500 at 11% per year for 5 years? (a) ₹1375 (b) ₹1650 (c) ₹3875 (d) ₹275
  2. 2.What is the smallest number you must add to 94 to make it divisible by 4? (a) 1 (b) 3 (c) 2
  3. 3.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 27%
  4. 4.What is the value of the digit 2 in 51.682? (a) 2 (b) 0.2 (c) 0.002 (d) 0.02
  5. 5.In how many years will ₹6500 earn ₹1560 simple interest at 8% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
  6. 6.Which is the greatest: 0.2, 0.072, 0.22, 0.196? (a) 0.2 (b) 0.072 (c) 0.22 (d) 0.196
  7. 7.Two ribbons are 24 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 24 cm (c) 84 cm (d) 12 cm
  8. 8.Every pair follows the same rule: 4 : 14, 6 : 34, 9 : 79. What is 3 : ? (a) 6 (b) 13 (c) 7 (d) 8
  9. 9.Every pair follows the same rule: 2 : 13, 6 : 33, 9 : 48. What is 7 : ? (a) 38 (b) 18 (c) 37 (d) 39
  10. 10.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 720 min (b) 54 min (c) 6 min (d) 120 min
  11. 11.Which is the smallest: 0.8, 0.84, 0.797, 0.029? (a) 0.8 (b) 0.84 (c) 0.797 (d) 0.029
  12. 12.What is the simple interest on ₹3500 at 12% per year for 5 years? (a) ₹2520 (b) ₹420 (c) ₹2100 (d) ₹5600
  13. 13.What is the average of 66, 54, 79 and 69? (a) 66 (b) 69 (c) 67 (d) 68
  14. 14.If 7 notebooks cost ₹56, how much do 3 notebooks cost? (a) ₹52 (b) ₹32 (c) ₹168 (d) ₹24
  15. 15.Which is the smallest: 0.67, 0.6, 0.065, 0.545? (a) 0.67 (b) 0.6 (c) 0.065 (d) 0.545
  16. 16.A teacher has 18 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 54 (b) 18 (c) 9 (d) 3
  17. 17.A teacher has 16 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 16 (c) 24 (d) 8
  18. 18.₹1500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹1635 (b) ₹1680 (c) ₹1545 (d) ₹135
  19. 19.If x/2 + 2 = 9, what is x? (a) 16 (b) 14 (c) 7 (d) 22
  20. 20.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 14 days (c) 15 days (d) 11 days
  21. 21.Two ribbons are 16 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 48 cm (b) 4 cm (c) 16 cm (d) 8 cm
  22. 22.What is 15% of 380? (a) 57 (b) 323 (c) 570 (d) 114
  23. 23.Every pair follows the same rule: 3 : 21, 8 : 26, 9 : 27. What is 7 : ? (a) 25 (b) 49 (c) 26 (d) 24
  24. 24.A teacher has 50 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 50 (b) 10 (c) 20 (d) 5
  25. 25.Today is Tuesday. What day of the week will it be after 25 days? (a) Friday (b) Sunday (c) Monday (d) Saturday
  26. 26.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  27. 27.What is the average of all the whole numbers from 9 to 39? (a) 24 (b) 25 (c) 15 (d) 30
  28. 28.If x/4 + 1 = 9, what is x? (a) 35 (b) 32 (c) 8 (d) 40
  29. 29.What is the remainder when 705 is divided by 12? (a) 8 (b) 9 (c) 3 (d) 10
  30. 30.A shopkeeper buys a toy for ₹240 and sells it for ₹276. What is his profit percent? (a) 20% (b) 15% (c) 36% (d) 10%
  31. 31.Every pair follows the same rule: 4 : 16, 7 : 49, 9 : 81. What is 8 : ? (a) 20 (b) 64 (c) 65 (d) 32
  32. 32.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 15% (b) 10% (c) 32% (d) 5%
  33. 33.The simple interest on ₹2500 for 5 years is ₹625. What is the rate per year? (a) 5% (b) 4% (c) 6% (d) 25%
  34. 34.What is the simple interest on ₹1000 at 10% per year for 2 years? (a) ₹1200 (b) ₹200 (c) ₹100 (d) ₹300
  35. 35.1.86 + 5.7 = ? (a) 7.56 (b) 7.46 (c) 7.66 (d) 2.43
  36. 36.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 216 min (c) 6 min (d) 30 min
  37. 37.Which fraction is greater: 7/12 or 5/11? (a) 5/11 (b) 7/12 (c) They are equal
  38. 38.If 4 notebooks cost ₹84, how much do 10 notebooks cost? (a) ₹210 (b) ₹840 (c) ₹231 (d) ₹90
  39. 39.What is the remainder when 794 is divided by 10? (a) 4 (b) 3 (c) 5 (d) 6
  40. 40.What is the smallest number you must add to 422 to make it divisible by 9? (a) 1 (b) 3 (c) 8 (d) 2

Answer key

  1. ₹1375
  2. 2
  3. 15%
  4. 0.002
  5. 3 years
  6. 0.22
  7. 12 cm
  8. 7
  9. 38
  10. 120 min
  11. 0.029
  12. ₹2100
  13. 67
  14. ₹24
  15. 0.065
  16. 9
  17. 8
  18. ₹1635
  19. 14
  20. 14 days
  21. 8 cm
  22. 57
  23. 25
  24. 10
  25. Saturday
  26. 225 sq cm
  27. 24
  28. 32
  29. 9
  30. 15%
  31. 64
  32. 10%
  33. 5%
  34. ₹200
  35. 7.56
  36. 36 min
  37. 7/12
  38. ₹210
  39. 4
  40. 1

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