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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 785 · 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 2 mangoes cost ₹34, how much do 11 mangoes cost? (a) ₹43 (b) ₹204 (c) ₹187 (d) ₹374
  2. 2.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 2 days (b) 9 days (c) 7 days (d) 8 days
  3. 3.The simple interest on ₹3000 for 3 years is ₹450. What is the rate per year? (a) 6% (b) 15% (c) 5% (d) 4%
  4. 4.1.09 + 3.6 = ? (a) 4.59 (b) 4.79 (c) 1.45 (d) 4.69
  5. 5.A teacher has 21 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 168 (b) 3 (c) 1 (d) 21
  6. 6.Which fraction is greater: 3/5 or 1/6? (a) 3/5 (b) 1/6 (c) They are equal
  7. 7.A shopkeeper buys a toy for ₹600 and sells it for ₹510. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 90%
  8. 8.Which is the greatest: 0.038, 0.588, 0.6, 0.61? (a) 0.038 (b) 0.588 (c) 0.6 (d) 0.61
  9. 9.7 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 13 days (b) 21 days (c) 22 days (d) 17 days
  10. 10.Every pair follows the same rule: 4 : 10, 5 : 11, 8 : 14. What is 6 : ? (a) 13 (b) 14 (c) 12 (d) 11
  11. 11.If 21 May is a Friday, what day of the week is 16 June? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
  12. 12.If 5x − 24 = 6, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  13. 13.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 5% (b) 10% (c) 78% (d) 15%
  14. 14.What is 25% of 320? (a) 160 (b) 80 (c) 240 (d) 800
  15. 15.What is the value of the digit 3 in 74.613? (a) 0.003 (b) 0.3 (c) 0.03 (d) 3
  16. 16.What is the smallest number you must add to 62 to make it divisible by 4? (a) 1 (b) 3 (c) 2
  17. 17.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 160 cm (d) 52 cm
  18. 18.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 37 cm (c) 51 cm (d) 40 cm
  19. 19.What is the simple interest on ₹2500 at 3% per year for 2 years? (a) ₹2650 (b) ₹75 (c) ₹150 (d) ₹225
  20. 20.A teacher has 72 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 72 (c) 504 (d) 12
  21. 21.₹90 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹45 (b) ₹81 (c) ₹90 (d) ₹9
  22. 22.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 27 sq cm (d) 12 sq cm
  23. 23.If 5 July is a Saturday, what day of the week is 17 July? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  24. 24.Which is the greatest: 0.5, 0.034, 0.498, 0.52? (a) 0.5 (b) 0.034 (c) 0.498 (d) 0.52
  25. 25.₹9000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹11700 (b) ₹1800 (c) ₹10800 (d) ₹9900
  26. 26.Which is the smallest: 0.167, 0.097, 0.2, 0.25? (a) 0.167 (b) 0.097 (c) 0.2 (d) 0.25
  27. 27.Today is Wednesday. What day of the week will it be after 76 days? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
  28. 28.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 18 min (c) 15 min (d) 3 min
  29. 29.If 9x + 28 = 136, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  30. 30.What is the value of the digit 2 in 72.541? (a) 0.02 (b) 0.2 (c) 2 (d) 20
  31. 31.Which is the smallest: 0.3, 0.074, 0.33, 0.299? (a) 0.3 (b) 0.074 (c) 0.33 (d) 0.299
  32. 32.Which of these numbers is divisible by 4? (a) 959 (b) 963 (c) 953 (d) 956
  33. 33.Every pair follows the same rule: 3 : 12, 8 : 32, 9 : 36. What is 7 : ? (a) 28 (b) 16 (c) 29 (d) 27
  34. 34.Two ribbons are 21 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) 35 cm (b) 21 cm (c) 7 cm (d) 1 cm
  35. 35.If 7 pens cost ₹91, how much do 9 pens cost? (a) ₹93 (b) ₹130 (c) ₹819 (d) ₹117
  36. 36.Two ribbons are 36 cm and 96 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) 36 cm (c) 60 cm (d) 12 cm
  37. 37.What is the smallest number you must add to 247 to make it divisible by 10? (a) 7 (b) 3 (c) 2 (d) 4
  38. 38.Which of these numbers is divisible by 8? (a) 5350 (b) 5362 (c) 5356 (d) 5352
  39. 39.What is the simple interest on ₹1500 at 10% per year for 4 years? (a) ₹600 (b) ₹750 (c) ₹2100 (d) ₹150
  40. 40.What is the units digit of 4^32? (a) 4 (b) 5 (c) 7 (d) 6

Answer key

  1. ₹187
  2. 8 days
  3. 5%
  4. 4.69
  5. 3
  6. 3/5
  7. 15%
  8. 0.61
  9. 21 days
  10. 12
  11. Wednesday
  12. 6
  13. 10%
  14. 80
  15. 0.003
  16. 2
  17. 52 cm
  18. 40 cm
  19. ₹150
  20. 12
  21. ₹81
  22. 27 sq cm
  23. Thursday
  24. 0.52
  25. ₹10800
  26. 0.097
  27. Tuesday
  28. 18 min
  29. 12
  30. 2
  31. 0.074
  32. 956
  33. 28
  34. 7 cm
  35. ₹117
  36. 12 cm
  37. 3
  38. 5352
  39. ₹600
  40. 6

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