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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 816 · 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.Every pair follows the same rule: 4 : 16, 6 : 36, 8 : 64. What is 5 : ? (a) 17 (b) 20 (c) 22 (d) 25
  2. 2.Every pair follows the same rule: 4 : 16, 8 : 64, 9 : 81. What is 2 : ? (a) 14 (b) 8 (c) 5 (d) 4
  3. 3.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 32%
  4. 4.If 6x + 20 = 5x + 26, what is x? (a) 46 (b) 6 (c) 8 (d) 7
  5. 5.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 40 min (c) 75 min (d) 375 min
  6. 6.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 76 (b) 46 (c) 87 (d) 35
  7. 7.What is the value of the digit 4 in 79.684? (a) 0.4 (b) 0.004 (c) 4 (d) 0.04
  8. 8.A shopkeeper buys a toy for ₹340 and sells it for ₹442. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  9. 9.1.08 + 9.3 = ? (a) 10.38 (b) 10.28 (c) 10.48 (d) 2.01
  10. 10.A shopkeeper buys a toy for ₹420 and sells it for ₹546. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  11. 11.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 33 cm (c) 25 cm (d) 14 cm
  12. 12.If 5x − 29 = 31, what is x? (a) 60 (b) 13 (c) 12 (d) 11
  13. 13.If 6 October is a Sunday, what day of the week is 17 October? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  14. 14.Every pair follows the same rule: 6 : 36, 7 : 49, 9 : 81. What is 4 : ? (a) 1 (b) 16 (c) 34 (d) 24
  15. 15.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 35 (b) 25 (c) 30 (d) 50
  16. 16.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
  17. 17.If 3x − 5 = 13, what is x? (a) 6 (b) 5 (c) 18 (d) 7
  18. 18.What is the average of all the whole numbers from 26 to 44? (a) 18 (b) 36 (c) 9 (d) 35
  19. 19.What is 1/2 of 4? (a) 1 (b) 2 (c) 4 (d) 3
  20. 20.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 14 cm (d) 9 cm
  21. 21.What is the value of the digit 8 in 92.748? (a) 8 (b) 0.008 (c) 0.08 (d) 0.8
  22. 22.8.32 + 7.4 = ? (a) 15.62 (b) 9.06 (c) 15.82 (d) 15.72
  23. 23.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  24. 24.What is 5/8 of 96? (a) 12 (b) 60 (c) 72 (d) 36
  25. 25.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 350 min (c) 45 min (d) 70 min
  26. 26.A teacher has 27 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 18 (c) 27 (d) 3
  27. 27.Every pair follows the same rule: 6 : 12, 8 : 16, 9 : 18. What is 2 : ? (a) 5 (b) 4 (c) 3 (d) 8
  28. 28.What is the average of all the whole numbers from 7 to 13? (a) 3 (b) 6 (c) 11 (d) 10
  29. 29.If 2 mangoes cost ₹10, how much do 3 mangoes cost? (a) ₹15 (b) ₹20 (c) ₹30 (d) ₹11
  30. 30.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  31. 31.The simple interest on ₹3500 for 4 years is ₹1540. What is the rate per year? (a) 10% (b) 12% (c) 44% (d) 11%
  32. 32.If 14 December is a Wednesday, what day of the week is 29 December? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  33. 33.If 4 January is a Saturday, what day of the week is 19 January? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  34. 34.In how many years will ₹4500 earn ₹900 simple interest at 5% per year? (a) 4 years (b) 3 years (c) 8 years (d) 5 years
  35. 35.A shopkeeper buys a toy for ₹760 and sells it for ₹836. What is his profit percent? (a) 76% (b) 10% (c) 5% (d) 15%
  36. 36.What is the remainder when 273 is divided by 9? (a) 2 (b) 3 (c) 6 (d) 4
  37. 37.A bag marked ₹220 is sold at a 40% discount. What is its selling price? (a) ₹308 (b) ₹180 (c) ₹88 (d) ₹132
  38. 38.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 130 sq cm (b) 143 sq cm (c) 46 sq cm (d) 23 sq cm
  39. 39.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 49 sq cm (d) 12 sq cm
  40. 40.The simple interest on ₹1000 for 2 years is ₹200. What is the rate per year? (a) 11% (b) 10% (c) 9% (d) 20%

Answer key

  1. 25
  2. 4
  3. 10%
  4. 6
  5. 75 min
  6. 76
  7. 0.004
  8. 30%
  9. 10.38
  10. 30%
  11. 28 cm
  12. 12
  13. Thursday
  14. 16
  15. 50
  16. 26 cm
  17. 6
  18. 35
  19. 2
  20. 18 cm
  21. 0.008
  22. 15.72
  23. 49 sq cm
  24. 60
  25. 70 min
  26. 9
  27. 4
  28. 10
  29. ₹15
  30. 20 cm
  31. 11%
  32. Thursday
  33. Sunday
  34. 4 years
  35. 10%
  36. 3
  37. ₹132
  38. 130 sq cm
  39. 36 sq cm
  40. 10%

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