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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 684 · 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 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 525 min (c) 105 min (d) 50 min
  2. 2.Today is Tuesday. What day of the week will it be after 26 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  3. 3.In how many years will ₹4500 earn ₹1215 simple interest at 9% per year? (a) 4 years (b) 3 years (c) 2 years (d) 6 years
  4. 4.What is the average of all the whole numbers from 24 to 52? (a) 14 (b) 28 (c) 39 (d) 38
  5. 5.What is the average of all the whole numbers from 22 to 30? (a) 4 (b) 27 (c) 8 (d) 26
  6. 6.What is 30% of 620? (a) 434 (b) 1860 (c) 186 (d) 372
  7. 7.9.39 + 5.3 = ? (a) 14.69 (b) 14.59 (c) 9.92 (d) 14.79
  8. 8.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 27 min (c) 180 min (d) 3 min
  9. 9.What is the average of all the whole numbers from 18 to 32? (a) 14 (b) 26 (c) 7 (d) 25
  10. 10.If 16 September is a Tuesday, what day of the week is 6 October? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  11. 11.What is the remainder when 86 is divided by 5? (a) 4 (b) 0 (c) 1 (d) 2
  12. 12.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 27 (b) 9 (c) 10 (d) 13
  13. 13.Which fraction is greater: 2/7 or 3/8? (a) They are equal (b) 2/7 (c) 3/8
  14. 14.₹9500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹5225 (b) ₹14725 (c) ₹10545 (d) ₹15770
  15. 15.Which fraction is greater: 1/3 or 7/12? (a) They are equal (b) 1/3 (c) 7/12
  16. 16.What is the average of 74, 70, 76 and 96? (a) 79 (b) 80 (c) 78 (d) 81
  17. 17.5.48 + 9.4 = ? (a) 14.98 (b) 6.42 (c) 14.78 (d) 14.88
  18. 18.What is the smallest number you must add to 635 to make it divisible by 12? (a) 11 (b) 3 (c) 1 (d) 2
  19. 19.If 6 mangoes cost ₹108, how much do 8 mangoes cost? (a) ₹144 (b) ₹864 (c) ₹110 (d) ₹162
  20. 20.If 3 mangoes cost ₹75, how much do 4 mangoes cost? (a) ₹100 (b) ₹125 (c) ₹76 (d) ₹300
  21. 21.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 59 (b) 51 (c) 12 (d) 49
  22. 22.Every pair follows the same rule: 5 : 18, 6 : 23, 7 : 28. What is 3 : ? (a) 16 (b) 7 (c) 9 (d) 8
  23. 23.If 9 January is a Monday, what day of the week is 21 January? (a) Sunday (b) Friday (c) Saturday (d) Monday
  24. 24.What is the average of 25, 43, 34, 48, 34 and 44? (a) 40 (b) 38 (c) 39 (d) 37
  25. 25.What is 1/2 of 22? (a) 22 (b) 12 (c) 11 (d) 10
  26. 26.3.26 + 3.4 = ? (a) 6.56 (b) 6.76 (c) 3.6 (d) 6.66
  27. 27.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 6 days
  28. 28.Two ribbons are 16 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 48 cm (c) 4 cm (d) 8 cm
  29. 29.What is the value of the digit 2 in 78.235? (a) 0.002 (b) 0.2 (c) 0.02 (d) 2
  30. 30.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 14%
  31. 31.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 15% (b) 20% (c) 21% (d) 25%
  32. 32.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
  33. 33.If 1 August is a Monday, what day of the week is 15 August? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  34. 34.A teacher has 20 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 30 (c) 10 (d) 20
  35. 35.Every pair follows the same rule: 4 : 32, 6 : 48, 9 : 72. What is 8 : ? (a) 65 (b) 36 (c) 64 (d) 63
  36. 36.If 8x − 19 = 37, what is x? (a) 6 (b) 8 (c) 7 (d) 56
  37. 37.₹209 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹95 (b) ₹19 (c) ₹133 (d) ₹114
  38. 38.What is the smallest number you must add to 523 to make it divisible by 12? (a) 4 (b) 6 (c) 7 (d) 5
  39. 39.A bag marked ₹1840 is sold at a 30% discount. What is its selling price? (a) ₹1810 (b) ₹1288 (c) ₹552 (d) ₹2392
  40. 40.What is the value of the digit 6 in 69.142? (a) 6 (b) 0.06 (c) 0.6 (d) 60

Answer key

  1. 105 min
  2. Sunday
  3. 3 years
  4. 38
  5. 26
  6. 186
  7. 14.69
  8. 60 min
  9. 25
  10. Monday
  11. 1
  12. 9
  13. 3/8
  14. ₹14725
  15. 7/12
  16. 79
  17. 14.88
  18. 1
  19. ₹144
  20. ₹100
  21. 59
  22. 8
  23. Saturday
  24. 38
  25. 11
  26. 6.66
  27. 5 days
  28. 8 cm
  29. 0.2
  30. 5%
  31. 20%
  32. 11 cm
  33. Monday
  34. 10
  35. 64
  36. 7
  37. ₹114
  38. 5
  39. ₹1288
  40. 60

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