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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 569 · 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.Which is the greatest: 0.647, 0.7, 0.75, 0.019? (a) 0.647 (b) 0.7 (c) 0.75 (d) 0.019
  2. 2.What is the average of all the whole numbers from 13 to 51? (a) 32 (b) 33 (c) 38 (d) 19
  3. 3.If 6 pens cost ₹30, how much do 8 pens cost? (a) ₹32 (b) ₹45 (c) ₹40 (d) ₹240
  4. 4.₹1000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹1270 (b) ₹180 (c) ₹1180 (d) ₹1090
  5. 5.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 45 sq cm (d) 54 sq cm
  6. 6.A teacher has 35 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 1 (c) 28 (d) 7
  7. 7.What is 2/9 of 63? (a) 21 (b) 7 (c) 49 (d) 14
  8. 8.₹72 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹48 (b) ₹36 (c) ₹72 (d) ₹24
  9. 9.What is the smallest number you must add to 670 to make it divisible by 11? (a) 10 (b) 1 (c) 2 (d) 3
  10. 10.Which fraction is greater: 2/9 or 3/7? (a) 2/9 (b) 3/7 (c) They are equal
  11. 11.What is the average of 46, 41, 36, 25, 27 and 35? (a) 34 (b) 42 (c) 35 (d) 36
  12. 12.₹432 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹48 (b) ₹384 (c) ₹432 (d) ₹216
  13. 13.What is the value of the digit 9 in 71.329? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
  14. 14.In how many years will ₹4500 earn ₹360 simple interest at 2% per year? (a) 4 years (b) 5 years (c) 3 years (d) 8 years
  15. 15.What is the average of all the whole numbers from 26 to 38? (a) 33 (b) 6 (c) 12 (d) 32
  16. 16.In how many years will ₹3500 earn ₹525 simple interest at 5% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
  17. 17.What is 1/5 of 20? (a) 16 (b) 8 (c) 4 (d) 5
  18. 18.₹252 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹36 (b) ₹126 (c) ₹108 (d) ₹144
  19. 19.4.91 + 9.9 = ? (a) 14.71 (b) 14.81 (c) 14.91 (d) 5.9
  20. 20.₹176 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹88 (b) ₹64 (c) ₹16 (d) ₹112
  21. 21.What is the simple interest on ₹2500 at 11% per year for 2 years? (a) ₹3050 (b) ₹825 (c) ₹550 (d) ₹275
  22. 22.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 64%
  23. 23.Every pair follows the same rule: 4 : 16, 8 : 28, 9 : 31. What is 2 : ? (a) 11 (b) 10 (c) 14 (d) 8
  24. 24.Which fraction is greater: 5/6 or 3/4? (a) 5/6 (b) 3/4 (c) They are equal
  25. 25.A bag marked ₹460 is sold at a 15% discount. What is its selling price? (a) ₹391 (b) ₹529 (c) ₹69 (d) ₹445
  26. 26.₹5000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹7200 (b) ₹1650 (c) ₹5550 (d) ₹6650
  27. 27.What is the simple interest on ₹2000 at 4% per year for 4 years? (a) ₹320 (b) ₹80 (c) ₹2320 (d) ₹400
  28. 28.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 80 sq cm (c) 90 sq cm (d) 18 sq cm
  29. 29.2.08 + 1.6 = ? (a) 2.24 (b) 3.68 (c) 3.58 (d) 3.78
  30. 30.Every pair follows the same rule: 2 : 16, 4 : 18, 7 : 21. What is 5 : ? (a) 18 (b) 19 (c) 20 (d) 40
  31. 31.Which fraction is greater: 2/5 or 7/10? (a) 7/10 (b) 2/5 (c) They are equal
  32. 32.If 4x + 21 = 49, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  33. 33.Every pair follows the same rule: 3 : 6, 4 : 13, 5 : 22. What is 7 : ? (a) 40 (b) 10 (c) 46 (d) 14
  34. 34.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 60 min (c) 5 min (d) 35 min
  35. 35.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 28 (c) 51 (d) 37
  36. 36.6 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 4 days (d) 7 days
  37. 37.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 14 (c) 20 (d) 30
  38. 38.If 3x + 8 = 14, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  39. 39.7/9 + 4/6 = ? (a) 25/18 (b) 3/2 (c) 11/15 (d) 13/9
  40. 40.Every pair follows the same rule: 2 : 13, 3 : 15, 8 : 25. What is 4 : ? (a) 18 (b) 16 (c) 15 (d) 17

Answer key

  1. 0.75
  2. 32
  3. ₹40
  4. ₹1180
  5. 45 sq cm
  6. 7
  7. 14
  8. ₹48
  9. 1
  10. 3/7
  11. 35
  12. ₹384
  13. 0.009
  14. 4 years
  15. 32
  16. 3 years
  17. 4
  18. ₹144
  19. 14.81
  20. ₹112
  21. ₹550
  22. 10%
  23. 10
  24. 5/6
  25. ₹391
  26. ₹6650
  27. ₹320
  28. 80 sq cm
  29. 3.68
  30. 19
  31. 7/10
  32. 7
  33. 46
  34. 60 min
  35. 51
  36. 6 days
  37. 30
  38. 2
  39. 13/9
  40. 17

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