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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 267 · 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: 4 : 8, 6 : 14, 8 : 20. What is 9 : ? (a) 13 (b) 24 (c) 23 (d) 18
  2. 2.₹180 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹80 (b) ₹20 (c) ₹90 (d) ₹100
  3. 3.2/3 + 2/3 = ? (a) 2/3 (b) 5/3 (c) 1 (d) 4/3
  4. 4.A teacher has 20 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 20 (c) 16 (d) 4
  5. 5.If 3x + 5 = 2x + 10, what is x? (a) 1 (b) 5 (c) 15 (d) 6
  6. 6.Today is Saturday. What day of the week will it be after 73 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  7. 7.What is the remainder when 411 is divided by 7? (a) 5 (b) 2 (c) 6 (d) 4
  8. 8.₹400 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹200 (b) ₹400 (c) ₹40 (d) ₹360
  9. 9.The simple interest on ₹1000 for 5 years is ₹300. What is the rate per year? (a) 7% (b) 6% (c) 30% (d) 5%
  10. 10.3.34 + 6.2 = ? (a) 9.64 (b) 9.44 (c) 3.96 (d) 9.54
  11. 11.1/3 + 3/4 = ? (a) 1 (b) 4/7 (c) 13/12 (d) 7/6
  12. 12.In how many years will ₹1000 earn ₹600 simple interest at 12% per year? (a) 10 years (b) 5 years (c) 4 years (d) 6 years
  13. 13.Every pair follows the same rule: 2 : 12, 8 : 24, 9 : 26. What is 7 : ? (a) 17 (b) 23 (c) 22 (d) 42
  14. 14.If 6 pens cost ₹96, how much do 4 pens cost? (a) ₹64 (b) ₹384 (c) ₹80 (d) ₹94
  15. 15.What is the simple interest on ₹6000 at 6% per year for 3 years? (a) ₹360 (b) ₹1080 (c) ₹1440 (d) ₹7080
  16. 16.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 216 min (c) 36 min (d) 30 min
  17. 17.What is the simple interest on ₹7000 at 4% per year for 4 years? (a) ₹280 (b) ₹1120 (c) ₹8120 (d) ₹1400
  18. 18.If x/5 + 14 = 24, what is x? (a) 190 (b) 10 (c) 106 (d) 50
  19. 19.What is 1/4 of 48? (a) 13 (b) 36 (c) 24 (d) 12
  20. 20.₹532 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹342 (b) ₹38 (c) ₹266 (d) ₹190
  21. 21.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 34 (b) 70 (c) 23 (d) 22
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 14 sq cm (c) 18 sq cm (d) 21 sq cm
  23. 23.What is the average of 70, 77, 79, 59 and 85? (a) 76 (b) 75 (c) 73 (d) 74
  24. 24.If 19 January is a Tuesday, what day of the week is 1 February? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  25. 25.2.22 + 3.1 = ? (a) 5.42 (b) 2.53 (c) 5.22 (d) 5.32
  26. 26.What is the smallest number you must add to 382 to make it divisible by 7? (a) 4 (b) 2 (c) 5 (d) 3
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  28. 28.If x/3 + 10 = 22, what is x? (a) 96 (b) 56 (c) 36 (d) 12
  29. 29.Which fraction is greater: 1/9 or 2/3? (a) They are equal (b) 2/3 (c) 1/9
  30. 30.If 8x + 29 = 109, what is x? (a) 80 (b) 11 (c) 10 (d) 9
  31. 31.4.54 + 8.3 = ? (a) 12.84 (b) 12.74 (c) 12.94 (d) 5.37
  32. 32.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 7 (b) 37 (c) 61 (d) 31
  33. 33.Today is Sunday. What day of the week will it be after 92 days? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  34. 34.₹4500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹810 (b) ₹5310 (c) ₹5715 (d) ₹4905
  35. 35.Which of these numbers is divisible by 4? (a) 2479 (b) 2480 (c) 2482 (d) 2485
  36. 36.If 2 notebooks cost ₹46, how much do 10 notebooks cost? (a) ₹54 (b) ₹460 (c) ₹253 (d) ₹230
  37. 37.What is the value of the digit 6 in 27.569? (a) 0.06 (b) 0.006 (c) 0.6 (d) 6
  38. 38.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 84 (b) 26 (c) 85 (d) 168
  39. 39.₹77 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹7 (b) ₹70 (c) ₹63 (d) ₹14
  40. 40.A teacher has 55 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 22 (c) 1 (d) 55

Answer key

  1. 23
  2. ₹100
  3. 4/3
  4. 4
  5. 5
  6. Tuesday
  7. 5
  8. ₹360
  9. 6%
  10. 9.54
  11. 13/12
  12. 5 years
  13. 22
  14. ₹64
  15. ₹1080
  16. 36 min
  17. ₹1120
  18. 50
  19. 12
  20. ₹342
  21. 22
  22. 14 sq cm
  23. 74
  24. Monday
  25. 5.32
  26. 3
  27. 144 sq cm
  28. 36
  29. 2/3
  30. 10
  31. 12.84
  32. 37
  33. Monday
  34. ₹5310
  35. 2480
  36. ₹230
  37. 0.06
  38. 84
  39. ₹63
  40. 11

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