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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 276 · 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 3/7 of 77? (a) 11 (b) 44 (c) 34 (d) 33
  2. 2.Every pair follows the same rule: 2 : 1, 4 : 5, 7 : 11. What is 9 : ? (a) 14 (b) 17 (c) 16 (d) 15
  3. 3.What is 15% of 420? (a) 63 (b) 357 (c) 126 (d) 630
  4. 4.Which fraction is greater: 1/5 or 1/3? (a) 1/5 (b) 1/3 (c) They are equal
  5. 5.A teacher has 6 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 2 (c) 6 (d) 4
  6. 6.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 84 (b) 7 (c) 1 (d) 21
  7. 7.A shopkeeper buys a toy for ₹840 and sells it for ₹630. What is his loss percent? (a) 26% (b) 25% (c) 30% (d) 20%
  8. 8.If 5x − 44 = 11, what is x? (a) 10 (b) 12 (c) 11 (d) 55
  9. 9.If 5 May is a Sunday, what day of the week is 20 May? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  10. 10.What is the value of the digit 9 in 72.369? (a) 0.09 (b) 0.9 (c) 0.009 (d) 9
  11. 11.What is 1/3 of 27? (a) 18 (b) 8 (c) 10 (d) 9
  12. 12.If 4 pens cost ₹16, how much do 8 pens cost? (a) ₹128 (b) ₹20 (c) ₹32 (d) ₹36
  13. 13.In how many years will ₹8000 earn ₹2160 simple interest at 9% per year? (a) 3 years (b) 4 years (c) 2 years (d) 6 years
  14. 14.If x/2 + 4 = 8, what is x? (a) 8 (b) 4 (c) 12 (d) 24
  15. 15.If 14 March is a Sunday, what day of the week is 25 March? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  16. 16.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 186 (b) 216 (c) 12 (d) 24
  17. 17.In how many years will ₹10000 earn ₹3200 simple interest at 8% per year? (a) 4 years (b) 3 years (c) 5 years (d) 8 years
  18. 18.A bag marked ₹1340 is sold at a 15% discount. What is its selling price? (a) ₹1541 (b) ₹1325 (c) ₹201 (d) ₹1139
  19. 19.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 42 sq cm (d) 26 sq cm
  20. 20.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 40 (c) 10 (d) 30
  21. 21.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 34 (c) 31 (d) 30
  22. 22.What is 3/4 of 8? (a) 8 (b) 2 (c) 7 (d) 6
  23. 23.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 8 : ? (a) 16 (b) 52 (c) 64 (d) 10
  24. 24.Every pair follows the same rule: 2 : 1, 4 : 13, 9 : 78. What is 5 : ? (a) 22 (b) 21 (c) 23 (d) 26
  25. 25.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 20 (c) 70 (d) 54
  26. 26.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 101 (b) 38 (c) 70 (d) 45
  27. 27.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 28 (b) 18 (c) 29 (d) 56
  28. 28.If 1 August is a Saturday, what day of the week is 15 August? (a) Sunday (b) Friday (c) Monday (d) Saturday
  29. 29.Which is the greatest: 0.092, 0.6, 0.62, 0.576? (a) 0.092 (b) 0.6 (c) 0.62 (d) 0.576
  30. 30.Which fraction is greater: 9/10 or 4/5? (a) 4/5 (b) They are equal (c) 9/10
  31. 31.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 36 cm (c) 32 cm (d) 18 cm
  32. 32.A teacher has 45 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 27 (b) 45 (c) 9 (d) 3
  33. 33.5.47 + 2.9 = ? (a) 8.47 (b) 8.27 (c) 5.76 (d) 8.37
  34. 34.If 5 October is a Monday, what day of the week is 14 October? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  35. 35.The simple interest on ₹8500 for 4 years is ₹2040. What is the rate per year? (a) 24% (b) 7% (c) 5% (d) 6%
  36. 36.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) 3 min (b) 27 min (c) 180 min (d) 60 min
  37. 37.What is 30% of 120? (a) 84 (b) 360 (c) 36 (d) 72
  38. 38.If 3x + 7 = x + 15, what is x? (a) 5 (b) 4 (c) 2 (d) 11
  39. 39.Today is Wednesday. What day of the week will it be after 72 days? (a) Sunday (b) Thursday (c) Friday (d) Saturday
  40. 40.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 24 cm

Answer key

  1. 33
  2. 15
  3. 63
  4. 1/3
  5. 2
  6. 7
  7. 25%
  8. 11
  9. Monday
  10. 0.009
  11. 9
  12. ₹32
  13. 3 years
  14. 8
  15. Thursday
  16. 216
  17. 4 years
  18. ₹1139
  19. 42 sq cm
  20. 10
  21. 30
  22. 6
  23. 64
  24. 22
  25. 70
  26. 101
  27. 28
  28. Saturday
  29. 0.62
  30. 9/10
  31. 36 cm
  32. 9
  33. 8.37
  34. Wednesday
  35. 6%
  36. 60 min
  37. 36
  38. 4
  39. Friday
  40. 26 cm

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