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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 476 · 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 units digit of 2^33? (a) 8 (b) 4 (c) 6 (d) 2
  2. 2.What is the remainder when 352 is divided by 10? (a) 1 (b) 8 (c) 3 (d) 2
  3. 3.Every pair follows the same rule: 7 : 49, 8 : 64, 9 : 81. What is 6 : ? (a) 30 (b) 42 (c) 36 (d) 48
  4. 4.If 24 July is a Monday, what day of the week is 14 August? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  5. 5.5/8 + 1/3 = ? (a) 6/11 (b) 1 (c) 11/12 (d) 23/24
  6. 6.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 32 cm (c) 34 cm (d) 30 cm
  7. 7.If 12 October is a Saturday, what day of the week is 7 November? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
  8. 8.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 73 (b) 137 (c) 80 (d) 65
  9. 9.6.64 + 5.2 = ? (a) 11.94 (b) 11.74 (c) 7.16 (d) 11.84
  10. 10.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 54 (b) 26 (c) 19 (d) 18
  11. 11.What is the simple interest on ₹4500 at 11% per year for 4 years? (a) ₹6480 (b) ₹2475 (c) ₹1980 (d) ₹495
  12. 12.What is the smallest number you must add to 305 to make it divisible by 9? (a) 2 (b) 1 (c) 3 (d) 8
  13. 13.2.81 + 6.9 = ? (a) 9.61 (b) 3.5 (c) 9.71 (d) 9.81
  14. 14.A shopkeeper buys a toy for ₹440 and sells it for ₹660. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  15. 15.What is 1/2 of 24? (a) 12 (b) 13 (c) 11 (d) 24
  16. 16.The simple interest on ₹1000 for 5 years is ₹100. What is the rate per year? (a) 1% (b) 3% (c) 2% (d) 10%
  17. 17.A teacher has 18 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 27 (b) 9 (c) 3 (d) 18
  18. 18.What is the average of 62, 72, 56, 62, 62 and 64? (a) 64 (b) 62 (c) 65 (d) 63
  19. 19.What is the simple interest on ₹5000 at 9% per year for 2 years? (a) ₹450 (b) ₹1350 (c) ₹5900 (d) ₹900
  20. 20.A teacher has 33 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 33 (c) 44 (d) 1
  21. 21.7.13 + 3.2 = ? (a) 10.43 (b) 10.33 (c) 10.23 (d) 7.45
  22. 22.If 4 mangoes cost ₹72, how much do 11 mangoes cost? (a) ₹79 (b) ₹216 (c) ₹198 (d) ₹792
  23. 23.If x/5 + 10 = 14, what is x? (a) 4 (b) 120 (c) 20 (d) 60
  24. 24.Every pair follows the same rule: 2 : 13, 3 : 18, 6 : 33. What is 9 : ? (a) 48 (b) 47 (c) 49 (d) 20
  25. 25.What is the average of all the whole numbers from 57 to 87? (a) 72 (b) 73 (c) 15 (d) 30
  26. 26.A teacher has 6 pencils and 8 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 24 (c) 2 (d) 1
  27. 27.What is the simple interest on ₹2000 at 6% per year for 4 years? (a) ₹120 (b) ₹480 (c) ₹2480 (d) ₹600
  28. 28.Every pair follows the same rule: 6 : 13, 8 : 19, 9 : 22. What is 5 : ? (a) 12 (b) 11 (c) 9 (d) 10
  29. 29.A teacher has 14 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 7 (c) 14 (d) 1
  30. 30.Which of these numbers is divisible by 9? (a) 3330 (b) 3327 (c) 3343 (d) 3337
  31. 31.Which of these numbers is divisible by 9? (a) 1368 (b) 1381 (c) 1363 (d) 1373
  32. 32.A teacher has 35 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 7 (c) 1 (d) 21
  33. 33.2/3 + 3/9 = ? (a) 10/9 (b) 5/12 (c) 1 (d) 8/9
  34. 34.The simple interest on ₹1000 for 5 years is ₹500. What is the rate per year? (a) 9% (b) 11% (c) 50% (d) 10%
  35. 35.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
  36. 36.If 7x + 16 = 3x + 48, what is x? (a) 9 (b) 10 (c) 8 (d) 16
  37. 37.If 9x + 9 = 3x + 27, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  38. 38.7/9 + 7/9 = ? (a) 13/9 (b) 5/3 (c) 7/9 (d) 14/9
  39. 39.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 57 (b) 112 (c) 56 (d) 22
  40. 40.3/5 + 1/2 = ? (a) 1 (b) 11/10 (c) 6/5 (d) 4/7

Answer key

  1. 2
  2. 2
  3. 36
  4. Monday
  5. 23/24
  6. 34 cm
  7. Thursday
  8. 137
  9. 11.84
  10. 18
  11. ₹1980
  12. 1
  13. 9.71
  14. 50%
  15. 12
  16. 2%
  17. 9
  18. 63
  19. ₹900
  20. 11
  21. 10.33
  22. ₹198
  23. 20
  24. 48
  25. 72
  26. 2
  27. ₹480
  28. 10
  29. 7
  30. 3330
  31. 1368
  32. 7
  33. 1
  34. 10%
  35. 24 min
  36. 8
  37. 3
  38. 14/9
  39. 56
  40. 11/10

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