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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 520 · 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 value of the digit 6 in 79.286? (a) 0.06 (b) 0.6 (c) 6 (d) 0.006
  2. 2.A teacher has 24 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 1 (c) 3 (d) 216
  3. 3.If 7x + 9 = x + 81, what is x? (a) 15 (b) 9 (c) 13 (d) 12
  4. 4.What is the average of all the whole numbers from 41 to 49? (a) 46 (b) 45 (c) 4 (d) 8
  5. 5.What is the simple interest on ₹2500 at 8% per year for 2 years? (a) ₹2900 (b) ₹200 (c) ₹600 (d) ₹400
  6. 6.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 15 (b) 54 (c) 36 (d) 18
  7. 7.In how many years will ₹2500 earn ₹1250 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 10 years (d) 5 years
  8. 8.If x/5 + 12 = 21, what is x? (a) 45 (b) 9 (c) 93 (d) 165
  9. 9.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 5% (b) 14% (c) 10% (d) 15%
  10. 10.If 5x + 14 = 4x + 24, what is x? (a) 38 (b) 10 (c) 12 (d) 11
  11. 11.What is 40% of 320? (a) 128 (b) 1280 (c) 256 (d) 192
  12. 12.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) 120 min (b) 60 min (c) 22 min (d) 2 min
  13. 13.If 5 pens cost ₹30, how much do 3 pens cost? (a) ₹24 (b) ₹18 (c) ₹90 (d) ₹28
  14. 14.8 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 4 days (c) 9 days (d) 8 days
  15. 15.1/3 + 1/2 = ? (a) 5/6 (b) 1 (c) 2/5 (d) 2/3
  16. 16.If 1 March is a Wednesday, what day of the week is 17 March? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  17. 17.In how many years will ₹3000 earn ₹810 simple interest at 9% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  20. 20.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 9 days (c) 5 days (d) 15 days
  21. 21.What is the remainder when 195 is divided by 6? (a) 4 (b) 5 (c) 3 (d) 2
  22. 22.Which of these numbers is divisible by 9? (a) 5095 (b) 5089 (c) 5107 (d) 5094
  23. 23.What is the average of 42, 31, 29, 27 and 26? (a) 32 (b) 30 (c) 33 (d) 31
  24. 24.Two ribbons are 24 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 72 cm (b) 6 cm (c) 12 cm (d) 24 cm
  25. 25.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 126 (b) 27 (c) 84 (d) 42
  26. 26.A bag marked ₹1320 is sold at a 15% discount. What is its selling price? (a) ₹198 (b) ₹1122 (c) ₹1518 (d) ₹1305
  27. 27.3.08 + 2.8 = ? (a) 5.88 (b) 5.98 (c) 5.78 (d) 3.36
  28. 28.7.41 + 3.1 = ? (a) 7.72 (b) 10.51 (c) 10.41 (d) 10.61
  29. 29.If 6x + 16 = 4x + 34, what is x? (a) 11 (b) 9 (c) 10 (d) 25
  30. 30.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 500 min (b) 5 min (c) 45 min (d) 100 min
  31. 31.A bag marked ₹1080 is sold at a 50% discount. What is its selling price? (a) ₹1620 (b) ₹540 (c) ₹1030 (d) ₹541
  32. 32.The simple interest on ₹6500 for 3 years is ₹2145. What is the rate per year? (a) 11% (b) 33% (c) 10% (d) 12%
  33. 33.What is the units digit of 9^54? (a) 0 (b) 9 (c) 1 (d) 2
  34. 34.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 750 min (c) 150 min (d) 55 min
  35. 35.What is 10% of 60? (a) 54 (b) 12 (c) 60 (d) 6
  36. 36.In how many years will ₹9000 earn ₹1620 simple interest at 6% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
  37. 37.What is 6/7 of 49? (a) 7 (b) 49 (c) 42 (d) 43
  38. 38.A bag marked ₹1180 is sold at a 25% discount. What is its selling price? (a) ₹1155 (b) ₹885 (c) ₹295 (d) ₹1475
  39. 39.If x/6 + 13 = 15, what is x? (a) 2 (b) 12 (c) 77 (d) 168
  40. 40.What is the units digit of 9^52? (a) 1 (b) 9 (c) 2 (d) 0

Answer key

  1. 0.006
  2. 3
  3. 12
  4. 45
  5. ₹400
  6. 18
  7. 5 years
  8. 45
  9. 10%
  10. 10
  11. 128
  12. 60 min
  13. ₹18
  14. 8 days
  15. 5/6
  16. Friday
  17. 3 years
  18. 25 sq cm
  19. 121 sq cm
  20. 14 days
  21. 3
  22. 5094
  23. 31
  24. 12 cm
  25. 42
  26. ₹1122
  27. 5.88
  28. 10.51
  29. 9
  30. 100 min
  31. ₹540
  32. 11%
  33. 1
  34. 150 min
  35. 6
  36. 3 years
  37. 42
  38. ₹885
  39. 12
  40. 1

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