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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 788 · 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 14 March is a Sunday, what day of the week is 25 March? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
  2. 2.9.81 + 9.9 = ? (a) 19.81 (b) 19.61 (c) 19.71 (d) 10.8
  3. 3.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 11 (b) 12 (c) 44 (d) 21
  4. 4.Every pair follows the same rule: 2 : 4, 3 : 9, 6 : 36. What is 8 : ? (a) 16 (b) 54 (c) 64 (d) 10
  5. 5.If x/3 + 13 = 15, what is x? (a) 84 (b) 32 (c) 2 (d) 6
  6. 6.₹175 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹151 (b) ₹150 (c) ₹25 (d) ₹175
  7. 7.Every pair follows the same rule: 2 : 2, 6 : 14, 8 : 20. What is 7 : ? (a) 16 (b) 7 (c) 17 (d) 18
  8. 8.If 8x + 10 = 122, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  9. 9.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 700 min (c) 140 min (d) 5 min
  10. 10.If 4x + 29 = 45, what is x? (a) 16 (b) 4 (c) 3 (d) 5
  11. 11.A teacher has 27 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 45 (b) 27 (c) 9 (d) 3
  12. 12.A bag marked ₹1640 is sold at a 10% discount. What is its selling price? (a) ₹1476 (b) ₹1630 (c) ₹164 (d) ₹1804
  13. 13.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 14 sq cm (d) 28 sq cm
  14. 14.Two ribbons are 9 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 1 cm (c) 3 cm (d) 36 cm
  15. 15.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 19 cm (c) 38 cm (d) 35 cm
  16. 16.What is the units digit of 2^16? (a) 2 (b) 4 (c) 8 (d) 6
  17. 17.What is the remainder when 111 is divided by 5? (a) 4 (b) 2 (c) 0 (d) 1
  18. 18.5.71 + 3.7 = ? (a) 9.41 (b) 9.51 (c) 6.08 (d) 9.31
  19. 19.What is 60% of 840? (a) 504 (b) 5040 (c) 336 (d) 1008
  20. 20.4 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 1 day (c) 2 days (d) 11 days
  21. 21.If 4 pens cost ₹100, how much do 11 pens cost? (a) ₹300 (b) ₹107 (c) ₹275 (d) ₹1100
  22. 22.Which fraction is greater: 2/7 or 7/8? (a) 2/7 (b) They are equal (c) 7/8
  23. 23.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 160 (b) 36 (c) 80 (d) 320
  24. 24.If 6 December is a Monday, what day of the week is 15 December? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  25. 25.If 27 November is a Tuesday, what day of the week is 10 December? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  26. 26.Which fraction is greater: 5/8 or 1/7? (a) They are equal (b) 5/8 (c) 1/7
  27. 27.7.75 + 1.6 = ? (a) 7.91 (b) 9.25 (c) 9.45 (d) 9.35
  28. 28.If 7x + 26 = 75, what is x? (a) 6 (b) 7 (c) 8 (d) 49
  29. 29.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 52 (b) 28 (c) 31 (d) 27
  30. 30.Which fraction is greater: 1/8 or 6/7? (a) They are equal (b) 6/7 (c) 1/8
  31. 31.Which fraction is greater: 3/5 or 9/10? (a) 9/10 (b) 3/5 (c) They are equal
  32. 32.If 9 December is a Tuesday, what day of the week is 21 December? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  33. 33.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 504 min (b) 6 min (c) 84 min (d) 54 min
  34. 34.Two ribbons are 18 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 30 cm (c) 6 cm (d) 18 cm
  35. 35.What is the simple interest on ₹1000 at 10% per year for 4 years? (a) ₹500 (b) ₹400 (c) ₹100 (d) ₹1400
  36. 36.If 8 March is a Sunday, what day of the week is 22 March? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  37. 37.If 3 pens cost ₹18, how much do 7 pens cost? (a) ₹48 (b) ₹42 (c) ₹126 (d) ₹22
  38. 38.9.92 + 7.8 = ? (a) 17.72 (b) 10.7 (c) 17.62 (d) 17.82
  39. 39.A bag marked ₹1420 is sold at a 10% discount. What is its selling price? (a) ₹1410 (b) ₹1278 (c) ₹1562 (d) ₹142
  40. 40.What is the value of the digit 4 in 14.392? (a) 40 (b) 0.4 (c) 0.04 (d) 4

Answer key

  1. Thursday
  2. 19.71
  3. 11
  4. 64
  5. 6
  6. ₹150
  7. 17
  8. 14
  9. 140 min
  10. 4
  11. 9
  12. ₹1476
  13. 48 sq cm
  14. 3 cm
  15. 38 cm
  16. 6
  17. 1
  18. 9.41
  19. 504
  20. 2 days
  21. ₹275
  22. 7/8
  23. 80
  24. Wednesday
  25. Monday
  26. 5/8
  27. 9.35
  28. 7
  29. 52
  30. 6/7
  31. 9/10
  32. Sunday
  33. 84 min
  34. 6 cm
  35. ₹400
  36. Sunday
  37. ₹42
  38. 17.72
  39. ₹1278
  40. 4

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