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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 390 · 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.A shopkeeper buys a toy for ₹840 and sells it for ₹1008. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  2. 2.Two ribbons are 9 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) 15 cm (b) 1 cm (c) 3 cm (d) 9 cm
  3. 3.In how many years will ₹9000 earn ₹4950 simple interest at 11% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
  4. 4.Every pair follows the same rule: 2 : 2, 3 : 7, 8 : 62. What is 5 : ? (a) 29 (b) 23 (c) 24 (d) 5
  5. 5.If 16 March is a Monday, what day of the week is 1 April? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  6. 6.What is the simple interest on ₹6000 at 11% per year for 3 years? (a) ₹660 (b) ₹1980 (c) ₹7980 (d) ₹2640
  7. 7.A teacher has 14 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 49 (b) 1 (c) 7 (d) 14
  8. 8.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 31 (c) 73 (d) 36
  9. 9.What is the smallest number you must add to 298 to make it divisible by 6? (a) 2 (b) 1 (c) 3 (d) 4
  10. 10.A teacher has 22 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) 1 (c) 55 (d) 22
  11. 11.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 10% (b) 21% (c) 20% (d) 15%
  12. 12.Every pair follows the same rule: 2 : 18, 3 : 27, 9 : 81. What is 5 : ? (a) 46 (b) 21 (c) 45 (d) 44
  13. 13.The simple interest on ₹9000 for 3 years is ₹2430. What is the rate per year? (a) 27% (b) 9% (c) 10% (d) 8%
  14. 14.If 5x + 4 = 24, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  15. 15.Today is Saturday. What day of the week will it be after 10 days? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  16. 16.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  17. 17.Today is Tuesday. What day of the week will it be after 90 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  18. 18.1/6 + 1/2 = ? (a) 2/3 (b) 1/4 (c) 1/2 (d) 5/6
  19. 19.4.13 + 1.3 = ? (a) 5.53 (b) 5.43 (c) 4.26 (d) 5.33
  20. 20.Which of these numbers is divisible by 8? (a) 7018 (b) 7026 (c) 7009 (d) 7016
  21. 21.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 24 min (c) 96 min (d) 4 min
  22. 22.What is 50% of 80? (a) 41 (b) 80 (c) 400 (d) 40
  23. 23.What is the smallest number you must add to 93 to make it divisible by 5? (a) 4 (b) 3 (c) 2 (d) 1
  24. 24.What is 60% of 760? (a) 912 (b) 456 (c) 4560 (d) 304
  25. 25.Every pair follows the same rule: 2 : 6, 3 : 7, 4 : 8. What is 7 : ? (a) 11 (b) 21 (c) 12 (d) 10
  26. 26.A shopkeeper buys a toy for ₹920 and sells it for ₹1380. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
  27. 27.If 5x − 2 = 8, what is x? (a) 1 (b) 3 (c) 2 (d) 10
  28. 28.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 66 (c) 40 (d) 42
  29. 29.A bag marked ₹220 is sold at a 25% discount. What is its selling price? (a) ₹195 (b) ₹165 (c) ₹275 (d) ₹55
  30. 30.If x/6 + 5 = 11, what is x? (a) 6 (b) 96 (c) 36 (d) 61
  31. 31.If 6x − 6 = 6, what is x? (a) 1 (b) 12 (c) 3 (d) 2
  32. 32.If 4x + 23 = 55, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  33. 33.What is the average of 30, 27, 33, 14, 23 and 41? (a) 29 (b) 28 (c) 27 (d) 30
  34. 34.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 3 min (c) 27 min (d) 126 min
  35. 35.9.21 + 3.6 = ? (a) 12.81 (b) 12.71 (c) 12.91 (d) 9.57
  36. 36.5/8 + 2/4 = ? (a) 7/12 (b) 1 (c) 9/8 (d) 5/4
  37. 37.If 7x − 18 = 31, what is x? (a) 7 (b) 6 (c) 49 (d) 8
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 56 sq cm (d) 14 sq cm
  39. 39.If 11 November is a Tuesday, what day of the week is 6 December? (a) Monday (b) Sunday (c) Friday (d) Saturday
  40. 40.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) 30 min (c) 6 min (d) 216 min

Answer key

  1. 20%
  2. 3 cm
  3. 5 years
  4. 23
  5. Wednesday
  6. ₹1980
  7. 7
  8. 30
  9. 2
  10. 11
  11. 15%
  12. 45
  13. 9%
  14. 4
  15. Tuesday
  16. 49 sq cm
  17. Monday
  18. 2/3
  19. 5.43
  20. 7016
  21. 24 min
  22. 40
  23. 2
  24. 456
  25. 11
  26. 50%
  27. 2
  28. 66
  29. ₹165
  30. 36
  31. 2
  32. 8
  33. 28
  34. 42 min
  35. 12.81
  36. 9/8
  37. 7
  38. 48 sq cm
  39. Saturday
  40. 36 min

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