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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 81 · 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 smallest number you must add to 113 to make it divisible by 8? (a) 5 (b) 7 (c) 6 (d) 1
  2. 2.Which fraction is greater: 1/9 or 8/11? (a) 1/9 (b) They are equal (c) 8/11
  3. 3.What is the value of the digit 5 in 95.812? (a) 0.05 (b) 50 (c) 0.5 (d) 5
  4. 4.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 56 cm
  5. 5.What is the simple interest on ₹9000 at 5% per year for 4 years? (a) ₹450 (b) ₹2250 (c) ₹10800 (d) ₹1800
  6. 6.What is the value of the digit 7 in 75.928? (a) 70 (b) 7 (c) 0.07 (d) 0.7
  7. 7.What is the average of 49, 32, 54 and 29? (a) 40 (b) 41 (c) 42 (d) 43
  8. 8.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 24 cm (c) 21 cm (d) 12 cm
  9. 9.What is the remainder when 181 is divided by 9? (a) 2 (b) 1 (c) 0 (d) 8
  10. 10.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 252 min (b) 3 min (c) 84 min (d) 33 min
  11. 11.₹60 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹30 (b) ₹5 (c) ₹25 (d) ₹35
  12. 12.If x/6 + 7 = 18, what is x? (a) 66 (b) 101 (c) 150 (d) 11
  13. 13.What is the average of 44, 37, 43 and 76? (a) 50 (b) 49 (c) 52 (d) 51
  14. 14.What is the average of 51, 49, 56, 67 and 87? (a) 62 (b) 63 (c) 61 (d) 64
  15. 15.₹455 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹140 (b) ₹350 (c) ₹35 (d) ₹315
  16. 16.Every pair follows the same rule: 5 : 9, 6 : 10, 9 : 13. What is 3 : ? (a) 8 (b) 6 (c) 9 (d) 7
  17. 17.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 67 (c) 12 (d) 61
  18. 18.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 45%
  19. 19.A teacher has 8 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 8 (d) 12
  20. 20.What is 8/9 of 36? (a) 33 (b) 36 (c) 32 (d) 4
  21. 21.If x/3 + 8 = 10, what is x? (a) 6 (b) 22 (c) 2 (d) 54
  22. 22.What is the smallest number you must add to 309 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  23. 23.Every pair follows the same rule: 2 : 8, 3 : 12, 4 : 16. What is 7 : ? (a) 28 (b) 29 (c) 27 (d) 13
  24. 24.If 2 mangoes cost ₹26, how much do 11 mangoes cost? (a) ₹156 (b) ₹35 (c) ₹143 (d) ₹286
  25. 25.If x/4 + 10 = 22, what is x? (a) 12 (b) 78 (c) 128 (d) 48
  26. 26.3.11 + 2.4 = ? (a) 5.51 (b) 5.41 (c) 3.35 (d) 5.61
  27. 27.Two ribbons are 96 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 864 cm (b) 6 cm (c) 12 cm (d) 96 cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  29. 29.In how many years will ₹5000 earn ₹1000 simple interest at 5% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
  30. 30.The simple interest on ₹2000 for 3 years is ₹180. What is the rate per year? (a) 3% (b) 2% (c) 9% (d) 4%
  31. 31.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 59 (b) 24 (c) 55 (d) 75
  32. 32.If 7x + 1 = 85, what is x? (a) 12 (b) 13 (c) 84 (d) 11
  33. 33.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 432 (b) 42 (c) 144 (d) 72
  34. 34.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 14% (b) 6% (c) 5% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 20% (b) 70% (c) 30% (d) 25%
  36. 36.5.41 + 3.7 = ? (a) 9.01 (b) 9.11 (c) 5.78 (d) 9.21
  37. 37.If 13 July is a Friday, what day of the week is 7 August? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  38. 38.What is the units digit of 3^20? (a) 1 (b) 7 (c) 3 (d) 9
  39. 39.A bag marked ₹1040 is sold at a 50% discount. What is its selling price? (a) ₹521 (b) ₹1560 (c) ₹520 (d) ₹990
  40. 40.A teacher has 35 pencils and 42 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) 210 (d) 7

Answer key

  1. 7
  2. 8/11
  3. 5
  4. 5 cm
  5. ₹1800
  6. 70
  7. 41
  8. 24 cm
  9. 1
  10. 84 min
  11. ₹35
  12. 66
  13. 50
  14. 62
  15. ₹315
  16. 7
  17. 67
  18. 25%
  19. 4
  20. 32
  21. 6
  22. 3
  23. 28
  24. ₹143
  25. 48
  26. 5.51
  27. 12 cm
  28. 49 sq cm
  29. 4 years
  30. 3%
  31. 75
  32. 12
  33. 72
  34. 5%
  35. 25%
  36. 9.11
  37. Tuesday
  38. 1
  39. ₹520
  40. 7

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