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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 225 · 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.A bag marked ₹1060 is sold at a 50% discount. What is its selling price? (a) ₹1590 (b) ₹530 (c) ₹1010 (d) ₹531
  2. 2.Every pair follows the same rule: 3 : 9, 4 : 16, 5 : 25. What is 8 : ? (a) 52 (b) 24 (c) 64 (d) 14
  3. 3.If 9 kites cost ₹225, how much do 10 kites cost? (a) ₹2250 (b) ₹250 (c) ₹226 (d) ₹275
  4. 4.What is the units digit of 8^43? (a) 8 (b) 6 (c) 2 (d) 4
  5. 5.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  6. 6.1/2 + 4/5 = ? (a) 6/5 (b) 13/10 (c) 5/7 (d) 7/5
  7. 7.What is 3/4 of 40? (a) 40 (b) 10 (c) 31 (d) 30
  8. 8.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 24 (c) 48 (d) 20
  9. 9.What is the simple interest on ₹4000 at 6% per year for 2 years? (a) ₹4480 (b) ₹480 (c) ₹720 (d) ₹240
  10. 10.A bag marked ₹1620 is sold at a 40% discount. What is its selling price? (a) ₹2268 (b) ₹1580 (c) ₹648 (d) ₹972
  11. 11.9.35 + 7.1 = ? (a) 16.35 (b) 16.55 (c) 10.06 (d) 16.45
  12. 12.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) 3 min (d) 180 min
  13. 13.If 13 January is a Wednesday, what day of the week is 12 February? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  14. 14.What is the smallest number you must add to 647 to make it divisible by 10? (a) 4 (b) 2 (c) 3 (d) 7
  15. 15.Today is Tuesday. What day of the week will it be after 62 days? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday
  16. 16.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 700 (b) 140 (c) 55 (d) 280
  17. 17.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 70 (b) 24 (c) 71 (d) 140
  18. 18.What is the value of the digit 5 in 59.816? (a) 5 (b) 50 (c) 0.05 (d) 0.5
  19. 19.If 9x − 55 = 8, what is x? (a) 63 (b) 7 (c) 6 (d) 8
  20. 20.What is the value of the digit 2 in 73.291? (a) 0.02 (b) 2 (c) 0.2 (d) 0.002
  21. 21.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
  22. 22.A shopkeeper buys a toy for ₹360 and sells it for ₹468. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  23. 23.What is the value of the digit 8 in 83.915? (a) 0.08 (b) 80 (c) 0.8 (d) 8
  24. 24.Which fraction is greater: 1/6 or 1/7? (a) 1/7 (b) 1/6 (c) They are equal
  25. 25.What is the value of the digit 7 in 51.726? (a) 7 (b) 0.07 (c) 0.007 (d) 0.7
  26. 26.If 7 notebooks cost ₹168, how much do 9 notebooks cost? (a) ₹240 (b) ₹1512 (c) ₹216 (d) ₹170
  27. 27.₹192 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹16 (b) ₹112 (c) ₹96 (d) ₹80
  28. 28.Every pair follows the same rule: 2 : 3, 4 : 11, 6 : 19. What is 5 : ? (a) 16 (b) 14 (c) 6 (d) 15
  29. 29.Every pair follows the same rule: 3 : 6, 7 : 14, 9 : 18. What is 8 : ? (a) 11 (b) 16 (c) 17 (d) 15
  30. 30.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 25 days (b) 2 days (c) 14 days (d) 24 days
  31. 31.1/2 + 2/8 = ? (a) 3/10 (b) 3/4 (c) 5/8 (d) 7/8
  32. 32.If 7 pens cost ₹154, how much do 12 pens cost? (a) ₹1848 (b) ₹264 (c) ₹286 (d) ₹159
  33. 33.What is the average of all the whole numbers from 15 to 27? (a) 22 (b) 6 (c) 21 (d) 12
  34. 34.In how many years will ₹7500 earn ₹2625 simple interest at 7% per year? (a) 4 years (b) 10 years (c) 5 years (d) 6 years
  35. 35.Which of these numbers is divisible by 11? (a) 4494 (b) 4505 (c) 4513 (d) 4499
  36. 36.₹8500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹13175 (b) ₹9435 (c) ₹3740 (d) ₹12240
  37. 37.Two ribbons are 20 cm and 70 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) 50 cm (c) 20 cm (d) 10 cm
  38. 38.What is the average of 58, 47, 38, 47, 48 and 26? (a) 46 (b) 43 (c) 44 (d) 45
  39. 39.If 14 March is a Thursday, what day of the week is 5 April? (a) Saturday (b) Sunday (c) Friday (d) Thursday
  40. 40.What is the value of the digit 6 in 58.346? (a) 0.006 (b) 0.6 (c) 6 (d) 0.06

Answer key

  1. ₹530
  2. 64
  3. ₹250
  4. 2
  5. 25%
  6. 13/10
  7. 30
  8. 24
  9. ₹480
  10. ₹972
  11. 16.45
  12. 60 min
  13. Friday
  14. 3
  15. Monday
  16. 140
  17. 70
  18. 50
  19. 7
  20. 0.2
  21. 30 sq cm
  22. 30%
  23. 80
  24. 1/6
  25. 0.7
  26. ₹216
  27. ₹112
  28. 15
  29. 16
  30. 24 days
  31. 3/4
  32. ₹264
  33. 21
  34. 5 years
  35. 4499
  36. ₹12240
  37. 10 cm
  38. 44
  39. Friday
  40. 0.006

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