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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 325 · 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.If 28 April is a Saturday, what day of the week is 13 May? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  2. 2.If 15 May is a Friday, what day of the week is 7 June? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  3. 3.What is the average of 66, 63, 71, 73, 60 and 81? (a) 68 (b) 71 (c) 70 (d) 69
  4. 4.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 95 sq cm (c) 46 sq cm (d) 23 sq cm
  5. 5.Every pair follows the same rule: 2 : 2, 3 : 7, 8 : 62. What is 4 : ? (a) 4 (b) 15 (c) 18 (d) 14
  6. 6.In how many years will ₹8000 earn ₹2800 simple interest at 7% per year? (a) 6 years (b) 5 years (c) 4 years (d) 10 years
  7. 7.In how many years will ₹4500 earn ₹2250 simple interest at 10% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
  8. 8.What is the average of 78, 77, 71, 65 and 104? (a) 79 (b) 78 (c) 81 (d) 80
  9. 9.Every pair follows the same rule: 2 : 4, 3 : 9, 5 : 25. What is 7 : ? (a) 49 (b) 41 (c) 9 (d) 14
  10. 10.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 44 (b) 240 (c) 480 (d) 120
  11. 11.2.41 + 7.5 = ? (a) 3.16 (b) 9.91 (c) 9.81 (d) 10.01
  12. 12.A shopkeeper buys a toy for ₹440 and sells it for ₹550. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 26%
  13. 13.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 44 sq cm (d) 33 sq cm
  14. 14.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 5 cm (d) 4 cm
  15. 15.What is the smallest number you must add to 186 to make it divisible by 5? (a) 1 (b) 4 (c) 2 (d) 3
  16. 16.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 70 min (c) 350 min (d) 5 min
  17. 17.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 43 (b) 28 (c) 34 (d) 19
  18. 18.Every pair follows the same rule: 2 : 7, 7 : 12, 8 : 13. What is 5 : ? (a) 11 (b) 9 (c) 12 (d) 10
  19. 19.₹6000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹7800 (b) ₹1200 (c) ₹7200 (d) ₹6600
  20. 20.6/7 + 1/3 = ? (a) 7/10 (b) 26/21 (c) 8/7 (d) 25/21
  21. 21.If 6 pens cost ₹72, how much do 11 pens cost? (a) ₹132 (b) ₹792 (c) ₹144 (d) ₹77
  22. 22.If x/5 + 13 = 19, what is x? (a) 30 (b) 160 (c) 6 (d) 82
  23. 23.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 2 : ? (a) 8 (b) 9 (c) 7 (d) 2
  24. 24.What is the average of 12, 13, 19, 28 and 63? (a) 28 (b) 29 (c) 26 (d) 27
  25. 25.Which is the greatest: 0.79, 0.028, 0.681, 0.7? (a) 0.79 (b) 0.028 (c) 0.681 (d) 0.7
  26. 26.Every pair follows the same rule: 2 : 5, 3 : 7, 9 : 19. What is 6 : ? (a) 13 (b) 14 (c) 12 (d) 9
  27. 27.₹48 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹12 (b) ₹36 (c) ₹24 (d) ₹48
  28. 28.What is 7/9 of 18? (a) 14 (b) 16 (c) 4 (d) 2
  29. 29.If 3x − 10 = 5, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  30. 30.What is 10% of 720? (a) 648 (b) 720 (c) 72 (d) 144
  31. 31.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 55 min (c) 700 min (d) 140 min
  32. 32.What is the simple interest on ₹9000 at 6% per year for 3 years? (a) ₹10620 (b) ₹2160 (c) ₹1620 (d) ₹540
  33. 33.What is 1/5 of 40? (a) 32 (b) 8 (c) 9 (d) 16
  34. 34.What is 4/5 of 25? (a) 21 (b) 25 (c) 20 (d) 5
  35. 35.What is 75% of 740? (a) 1110 (b) 5550 (c) 185 (d) 555
  36. 36.In how many years will ₹10000 earn ₹4000 simple interest at 8% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
  37. 37.1/2 + 1/7 = ? (a) 4/7 (b) 2/9 (c) 5/7 (d) 9/14
  38. 38.If x/5 + 2 = 11, what is x? (a) 65 (b) 9 (c) 45 (d) 53
  39. 39.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 4 min (c) 40 min (d) 84 min
  40. 40.Which of these numbers is divisible by 11? (a) 1199 (b) 1197 (c) 1218 (d) 1203

Answer key

  1. Sunday
  2. Sunday
  3. 69
  4. 76 sq cm
  5. 14
  6. 5 years
  7. 5 years
  8. 79
  9. 49
  10. 120
  11. 9.91
  12. 25%
  13. 33 sq cm
  14. 4 cm
  15. 4
  16. 70 min
  17. 43
  18. 10
  19. ₹7200
  20. 25/21
  21. ₹132
  22. 30
  23. 8
  24. 27
  25. 0.79
  26. 13
  27. ₹36
  28. 14
  29. 5
  30. 72
  31. 140 min
  32. ₹1620
  33. 8
  34. 20
  35. 555
  36. 5 years
  37. 9/14
  38. 45
  39. 84 min
  40. 1199

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