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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 229 · 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.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 320 min (b) 36 min (c) 80 min (d) 4 min
  2. 2.Every pair follows the same rule: 5 : 23, 6 : 34, 9 : 79. What is 7 : ? (a) 47 (b) 25 (c) 48 (d) 49
  3. 3.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 64 (b) 4 (c) 65 (d) 86
  4. 4.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 42 cm (d) 21 cm
  5. 5.If 8x + 3 = 2x + 27, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  6. 6.What is the average of 32, 25, 52, 29 and 62? (a) 50 (b) 41 (c) 39 (d) 40
  7. 7.Two ribbons are 24 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) 24 cm (b) 32 cm (c) 8 cm (d) 4 cm
  8. 8.What is the units digit of 2^17? (a) 8 (b) 2 (c) 4 (d) 6
  9. 9.In how many years will ₹7000 earn ₹2800 simple interest at 8% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
  10. 10.₹364 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹234 (b) ₹26 (c) ₹182 (d) ₹130
  11. 11.What is the smallest number you must add to 453 to make it divisible by 10? (a) 6 (b) 7 (c) 8 (d) 3
  12. 12.₹2500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹2800 (b) ₹2725 (c) ₹225 (d) ₹2575
  13. 13.Two ribbons are 40 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 40 cm (c) 200 cm (d) 10 cm
  14. 14.1/9 + 2/4 = ? (a) 7/12 (b) 23/36 (c) 11/18 (d) 3/13
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  16. 16.What is the simple interest on ₹5000 at 3% per year for 2 years? (a) ₹150 (b) ₹300 (c) ₹450 (d) ₹5300
  17. 17.7.73 + 8.8 = ? (a) 8.61 (b) 16.43 (c) 16.53 (d) 16.63
  18. 18.1.26 + 8.6 = ? (a) 2.12 (b) 9.76 (c) 9.96 (d) 9.86
  19. 19.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 73 (b) 17 (c) 35 (d) 18
  20. 20.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 22 (b) 56 (c) 112 (d) 57
  21. 21.In how many years will ₹4500 earn ₹1260 simple interest at 7% per year? (a) 8 years (b) 5 years (c) 3 years (d) 4 years
  22. 22.7.21 + 8.1 = ? (a) 8.02 (b) 15.21 (c) 15.41 (d) 15.31
  23. 23.Today is Wednesday. What day of the week will it be after 77 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  24. 24.Which fraction is greater: 5/7 or 4/5? (a) They are equal (b) 4/5 (c) 5/7
  25. 25.₹104 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹52 (b) ₹32 (c) ₹72 (d) ₹8
  26. 26.If 6 pens cost ₹108, how much do 3 pens cost? (a) ₹54 (b) ₹72 (c) ₹105 (d) ₹324
  27. 27.If 6x − 6 = 84, what is x? (a) 16 (b) 90 (c) 13 (d) 15
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  29. 29.Today is Wednesday. What day of the week will it be after 49 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
  30. 30.9 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 28 days (b) 19 days (c) 27 days (d) 11 days
  31. 31.A bag marked ₹1880 is sold at a 40% discount. What is its selling price? (a) ₹1840 (b) ₹752 (c) ₹1128 (d) ₹2632
  32. 32.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 125 (b) 164 (c) 5 (d) 126
  33. 33.If 7x + 4 = 6x + 13, what is x? (a) 9 (b) 10 (c) 17 (d) 11
  34. 34.1/3 + 5/7 = ? (a) 1 (b) 23/21 (c) 3/5 (d) 22/21
  35. 35.Which of these numbers is divisible by 3? (a) 1208 (b) 1206 (c) 1205 (d) 1211
  36. 36.A teacher has 64 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 576 (b) 8 (c) 4 (d) 64
  37. 37.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 14 min (c) 40 min (d) 2 min
  38. 38.Every pair follows the same rule: 2 : 10, 5 : 13, 9 : 17. What is 4 : ? (a) 13 (b) 11 (c) 20 (d) 12
  39. 39.If 2 kites cost ₹6, how much do 11 kites cost? (a) ₹15 (b) ₹36 (c) ₹33 (d) ₹66
  40. 40.Which fraction is greater: 1/3 or 7/11? (a) They are equal (b) 7/11 (c) 1/3

Answer key

  1. 80 min
  2. 47
  3. 64
  4. 42 cm
  5. 4
  6. 40
  7. 8 cm
  8. 2
  9. 5 years
  10. ₹234
  11. 7
  12. ₹2725
  13. 10 cm
  14. 11/18
  15. 49 sq cm
  16. ₹300
  17. 16.53
  18. 9.86
  19. 17
  20. 56
  21. 4 years
  22. 15.31
  23. Wednesday
  24. 4/5
  25. ₹72
  26. ₹54
  27. 15
  28. 81 sq cm
  29. Wednesday
  30. 27 days
  31. ₹1128
  32. 125
  33. 9
  34. 22/21
  35. 1206
  36. 8
  37. 20 min
  38. 12
  39. ₹33
  40. 7/11

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