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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 691 · 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 smallest number you must add to 214 to make it divisible by 7? (a) 3 (b) 2 (c) 4 (d) 5
  2. 2.What is 15% of 380? (a) 57 (b) 323 (c) 114 (d) 570
  3. 3.What is the units digit of 7^11? (a) 9 (b) 7 (c) 3 (d) 1
  4. 4.Every pair follows the same rule: 3 : 12, 4 : 16, 5 : 20. What is 9 : ? (a) 36 (b) 18 (c) 37 (d) 35
  5. 5.Which fraction is greater: 3/5 or 5/12? (a) 5/12 (b) They are equal (c) 3/5
  6. 6.What is the simple interest on ₹3000 at 2% per year for 4 years? (a) ₹3240 (b) ₹240 (c) ₹300 (d) ₹60
  7. 7.What is 1/2 of 14? (a) 6 (b) 14 (c) 8 (d) 7
  8. 8.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 1 day (c) 22 days (d) 21 days
  9. 9.Every pair follows the same rule: 4 : 15, 5 : 24, 7 : 48. What is 9 : ? (a) 20 (b) 72 (c) 81 (d) 80
  10. 10.What is the units digit of 4^50? (a) 5 (b) 6 (c) 7 (d) 4
  11. 11.Every pair follows the same rule: 3 : 9, 6 : 12, 7 : 13. What is 8 : ? (a) 24 (b) 15 (c) 14 (d) 13
  12. 12.In how many years will ₹9500 earn ₹1140 simple interest at 3% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  13. 13.A teacher has 42 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 42 (b) 12 (c) 3 (d) 6
  14. 14.1/2 + 3/4 = ? (a) 1 (b) 3/2 (c) 2/3 (d) 5/4
  15. 15.Two ribbons are 21 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 1 cm (c) 7 cm (d) 14 cm
  16. 16.Which of these numbers is divisible by 8? (a) 7030 (b) 7035 (c) 7017 (d) 7024
  17. 17.Which fraction is greater: 1/11 or 3/4? (a) 1/11 (b) 3/4 (c) They are equal
  18. 18.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 2 : ? (a) 26 (b) 18 (c) 8 (d) 9
  19. 19.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 126 min (c) 6 min (d) 756 min
  20. 20.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  21. 21.The simple interest on ₹10000 for 3 years is ₹3600. What is the rate per year? (a) 11% (b) 13% (c) 12% (d) 36%
  22. 22.Two ribbons are 16 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 4 cm (c) 24 cm (d) 16 cm
  23. 23.If 6x + 25 = 55, what is x? (a) 6 (b) 4 (c) 5 (d) 30
  24. 24.What is the simple interest on ₹9500 at 6% per year for 5 years? (a) ₹570 (b) ₹3420 (c) ₹2850 (d) ₹12350
  25. 25.Which is the smallest: 0.211, 0.095, 0.38, 0.3? (a) 0.211 (b) 0.095 (c) 0.38 (d) 0.3
  26. 26.If x/4 + 3 = 10, what is x? (a) 52 (b) 28 (c) 7 (d) 37
  27. 27.If 3 pens cost ₹60, how much do 2 pens cost? (a) ₹59 (b) ₹40 (c) ₹60 (d) ₹120
  28. 28.2.54 + 3.1 = ? (a) 2.85 (b) 5.54 (c) 5.64 (d) 5.74
  29. 29.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 22 min (c) 2 min (d) 120 min
  30. 30.Today is Friday. What day of the week will it be after 66 days? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  31. 31.If 9x + 3 = 3x + 15, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  32. 32.Which fraction is greater: 1/5 or 3/4? (a) They are equal (b) 3/4 (c) 1/5
  33. 33.The simple interest on ₹2500 for 2 years is ₹200. What is the rate per year? (a) 8% (b) 5% (c) 3% (d) 4%
  34. 34.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 30 cm (c) 28 cm (d) 32 cm
  35. 35.A bag marked ₹1420 is sold at a 50% discount. What is its selling price? (a) ₹2130 (b) ₹710 (c) ₹711 (d) ₹1370
  36. 36.A shopkeeper buys a toy for ₹740 and sells it for ₹592. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
  37. 37.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹2175 (b) ₹1715 (c) ₹1305 (d) ₹435
  38. 38.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 21 sq cm (d) 42 sq cm
  39. 39.If x/6 + 14 = 19, what is x? (a) 198 (b) 100 (c) 30 (d) 5
  40. 40.If 2 pens cost ₹32, how much do 7 pens cost? (a) ₹37 (b) ₹128 (c) ₹224 (d) ₹112

Answer key

  1. 3
  2. 57
  3. 3
  4. 36
  5. 3/5
  6. ₹240
  7. 7
  8. 21 days
  9. 80
  10. 6
  11. 14
  12. 4 years
  13. 6
  14. 5/4
  15. 7 cm
  16. 7024
  17. 3/4
  18. 8
  19. 126 min
  20. 40%
  21. 12%
  22. 8 cm
  23. 5
  24. ₹2850
  25. 0.095
  26. 28
  27. ₹40
  28. 5.64
  29. 60 min
  30. Monday
  31. 2
  32. 3/4
  33. 4%
  34. 32 cm
  35. ₹710
  36. 20%
  37. ₹1305
  38. 54 sq cm
  39. 30
  40. ₹112

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