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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 862 · 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 of these numbers is divisible by 8? (a) 1936 (b) 1951 (c) 1934 (d) 1941
  2. 2.What is the value of the digit 4 in 84.365? (a) 0.04 (b) 4 (c) 0.4 (d) 40
  3. 3.A shopkeeper buys a toy for ₹660 and sells it for ₹528. What is his loss percent? (a) 21% (b) 20% (c) 25% (d) 15%
  4. 4.₹6500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹9620 (b) ₹9100 (c) ₹7020 (d) ₹2600
  5. 5.What is the remainder when 314 is divided by 4? (a) 1 (b) 2 (c) 0 (d) 3
  6. 6.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 55 (b) 65 (c) 24 (d) 34
  7. 7.A teacher has 10 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 1 (c) 2 (d) 10
  8. 8.Which fraction is greater: 5/9 or 5/11? (a) They are equal (b) 5/9 (c) 5/11
  9. 9.Every pair follows the same rule: 2 : 13, 4 : 25, 5 : 34. What is 3 : ? (a) 18 (b) 16 (c) 14 (d) 19
  10. 10.Which fraction is greater: 9/11 or 1/3? (a) 9/11 (b) 1/3 (c) They are equal
  11. 11.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  12. 12.8.99 + 3.8 = ? (a) 9.37 (b) 12.89 (c) 12.69 (d) 12.79
  13. 13.Two ribbons are 24 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 6 cm (c) 24 cm (d) 60 cm
  14. 14.What is the remainder when 877 is divided by 11? (a) 8 (b) 7 (c) 9 (d) 3
  15. 15.In how many years will ₹5500 earn ₹660 simple interest at 3% per year? (a) 8 years (b) 4 years (c) 5 years (d) 3 years
  16. 16.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 60 min (c) 2 min (d) 16 min
  17. 17.Which is the greatest: 0.013, 0.66, 0.575, 0.6? (a) 0.013 (b) 0.66 (c) 0.575 (d) 0.6
  18. 18.A bag marked ₹580 is sold at a 10% discount. What is its selling price? (a) ₹522 (b) ₹570 (c) ₹638 (d) ₹58
  19. 19.A shopkeeper buys a toy for ₹140 and sells it for ₹84. What is his loss percent? (a) 40% (b) 56% (c) 45% (d) 35%
  20. 20.What is the simple interest on ₹1000 at 11% per year for 2 years? (a) ₹220 (b) ₹330 (c) ₹1220 (d) ₹110
  21. 21.Two ribbons are 6 cm and 8 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 6 cm (c) 24 cm (d) 2 cm
  22. 22.What is the remainder when 339 is divided by 9? (a) 3 (b) 6 (c) 5 (d) 7
  23. 23.Every pair follows the same rule: 2 : 7, 3 : 11, 8 : 31. What is 4 : ? (a) 15 (b) 9 (c) 14 (d) 16
  24. 24.If 3 mangoes cost ₹63, how much do 9 mangoes cost? (a) ₹189 (b) ₹69 (c) ₹567 (d) ₹210
  25. 25.Today is Thursday. What day of the week will it be after 17 days? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  26. 26.What is the average of all the whole numbers from 11 to 49? (a) 38 (b) 19 (c) 31 (d) 30
  27. 27.Every pair follows the same rule: 5 : 45, 7 : 63, 9 : 81. What is 2 : ? (a) 17 (b) 18 (c) 19 (d) 42
  28. 28.A shopkeeper buys a toy for ₹540 and sells it for ₹378. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
  29. 29.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 25% (b) 20% (c) 21% (d) 15%
  30. 30.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 40 sq cm (d) 54 sq cm
  31. 31.If x/3 + 5 = 14, what is x? (a) 57 (b) 27 (c) 37 (d) 9
  32. 32.Two ribbons are 20 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 4 cm (c) 8 cm (d) 2 cm
  33. 33.A shopkeeper buys a toy for ₹460 and sells it for ₹529. What is his profit percent? (a) 69% (b) 15% (c) 10% (d) 20%
  34. 34.Every pair follows the same rule: 2 : 1, 4 : 13, 7 : 46. What is 6 : ? (a) 33 (b) 34 (c) 32 (d) 35
  35. 35.What is the smallest number you must add to 306 to make it divisible by 4? (a) 3 (b) 1 (c) 2
  36. 36.If 2x − 7 = 11, what is x? (a) 9 (b) 2 (c) 18 (d) 10
  37. 37.What is 20% of 180? (a) 36 (b) 360 (c) 72 (d) 144
  38. 38.What is the simple interest on ₹2000 at 11% per year for 5 years? (a) ₹1100 (b) ₹1320 (c) ₹220 (d) ₹3100
  39. 39.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 48 cm (c) 28 cm (d) 16 cm
  40. 40.If x/6 + 14 = 25, what is x? (a) 234 (b) 11 (c) 66 (d) 136

Answer key

  1. 1936
  2. 4
  3. 20%
  4. ₹9100
  5. 2
  6. 55
  7. 2
  8. 5/9
  9. 18
  10. 9/11
  11. 25 sq cm
  12. 12.79
  13. 12 cm
  14. 8
  15. 4 years
  16. 30 min
  17. 0.66
  18. ₹522
  19. 40%
  20. ₹220
  21. 2 cm
  22. 6
  23. 15
  24. ₹189
  25. Sunday
  26. 30
  27. 18
  28. 30%
  29. 20%
  30. 36 sq cm
  31. 27
  32. 4 cm
  33. 15%
  34. 33
  35. 2
  36. 9
  37. 36
  38. ₹1100
  39. 32 cm
  40. 66

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