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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 463 · 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.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 9 : ? (a) 66 (b) 15 (c) 27 (d) 81
  2. 2.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  3. 3.What is 1/3 of 15? (a) 6 (b) 10 (c) 4 (d) 5
  4. 4.What is 10% of 600? (a) 600 (b) 120 (c) 60 (d) 540
  5. 5.A teacher has 20 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 8 (d) 20
  6. 6.Every pair follows the same rule: 2 : 11, 7 : 16, 8 : 17. What is 5 : ? (a) 15 (b) 14 (c) 16 (d) 13
  7. 7.Every pair follows the same rule: 7 : 49, 8 : 64, 9 : 81. What is 2 : ? (a) 44 (b) 14 (c) 5 (d) 4
  8. 8.Which of these numbers is divisible by 3? (a) 2446 (b) 2444 (c) 2450 (d) 2445
  9. 9.In how many years will ₹1500 earn ₹540 simple interest at 9% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  10. 10.Today is Saturday. What day of the week will it be after 99 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  11. 11.The simple interest on ₹1000 for 4 years is ₹400. What is the rate per year? (a) 40% (b) 9% (c) 10% (d) 11%
  12. 12.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
  13. 13.What is the value of the digit 9 in 14.289? (a) 0.9 (b) 9 (c) 0.009 (d) 0.09
  14. 14.Which of these numbers is divisible by 9? (a) 3960 (b) 3959 (c) 3965 (d) 3972
  15. 15.The simple interest on ₹3000 for 3 years is ₹360. What is the rate per year? (a) 5% (b) 3% (c) 4% (d) 12%
  16. 16.If x/6 + 2 = 8, what is x? (a) 36 (b) 6 (c) 60 (d) 46
  17. 17.What is the units digit of 3^31? (a) 1 (b) 3 (c) 9 (d) 7
  18. 18.What is 3/4 of 44? (a) 11 (b) 34 (c) 44 (d) 33
  19. 19.Two ribbons are 21 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) 3 cm (b) 21 cm (c) 168 cm (d) 1 cm
  20. 20.If 4x − 34 = 2, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  21. 21.If 2x − 5 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  22. 22.What is 40% of 480? (a) 384 (b) 1920 (c) 192 (d) 288
  23. 23.What is the average of all the whole numbers from 56 to 96? (a) 77 (b) 20 (c) 76 (d) 40
  24. 24.What is the simple interest on ₹9500 at 7% per year for 2 years? (a) ₹10830 (b) ₹1995 (c) ₹665 (d) ₹1330
  25. 25.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 6 : ? (a) 24 (b) 216 (c) 12 (d) 174
  26. 26.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 112 (c) 224 (d) 56
  27. 27.Every pair follows the same rule: 4 : 15, 6 : 35, 7 : 48. What is 3 : ? (a) 7 (b) 8 (c) 9 (d) 14
  28. 28.If 17 July is a Sunday, what day of the week is 18 August? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  29. 29.₹110 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹55 (b) ₹90 (c) ₹10 (d) ₹20
  30. 30.Every pair follows the same rule: 3 : 17, 5 : 23, 9 : 35. What is 2 : ? (a) 13 (b) 15 (c) 14 (d) 16
  31. 31.4 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 8 days (d) 5 days
  32. 32.1/4 + 6/7 = ? (a) 15/14 (b) 8/7 (c) 7/11 (d) 31/28
  33. 33.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 96 min (c) 20 min (d) 24 min
  34. 34.7/8 + 1/6 = ? (a) 13/12 (b) 4/7 (c) 25/24 (d) 1
  35. 35.A bag marked ₹740 is sold at a 20% discount. What is its selling price? (a) ₹592 (b) ₹148 (c) ₹720 (d) ₹888
  36. 36.Which is the greatest: 0.52, 0.031, 0.5, 0.468? (a) 0.52 (b) 0.031 (c) 0.5 (d) 0.468
  37. 37.What is 8/9 of 18? (a) 17 (b) 16 (c) 18 (d) 2
  38. 38.Which fraction is greater: 2/3 or 3/7? (a) 3/7 (b) 2/3 (c) They are equal
  39. 39.Every pair follows the same rule: 3 : 7, 5 : 15, 9 : 31. What is 6 : ? (a) 20 (b) 18 (c) 10 (d) 19
  40. 40.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 48% (b) 5% (c) 10% (d) 6%

Answer key

  1. 81
  2. 96 sq cm
  3. 5
  4. 60
  5. 4
  6. 14
  7. 4
  8. 2445
  9. 4 years
  10. Sunday
  11. 10%
  12. 18 cm
  13. 0.009
  14. 3960
  15. 4%
  16. 36
  17. 7
  18. 33
  19. 3 cm
  20. 9
  21. 3
  22. 192
  23. 76
  24. ₹1330
  25. 216
  26. 56
  27. 8
  28. Thursday
  29. ₹90
  30. 14
  31. 4 days
  32. 31/28
  33. 24 min
  34. 25/24
  35. ₹592
  36. 0.52
  37. 16
  38. 2/3
  39. 19
  40. 5%

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