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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 497 · 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.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 52 cm (c) 10 cm (d) 5 cm
  2. 2.If 9x + 1 = 5x + 25, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  3. 3.What is 20% of 700? (a) 280 (b) 560 (c) 140 (d) 1400
  4. 4.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 42 min (c) 2 min (d) 20 min
  5. 5.A bag marked ₹820 is sold at a 30% discount. What is its selling price? (a) ₹790 (b) ₹246 (c) ₹1066 (d) ₹574
  6. 6.Every pair follows the same rule: 5 : 8, 6 : 9, 9 : 12. What is 8 : ? (a) 10 (b) 13 (c) 12 (d) 11
  7. 7.Every pair follows the same rule: 3 : 21, 5 : 35, 9 : 63. What is 2 : ? (a) 20 (b) 15 (c) 13 (d) 14
  8. 8.Every pair follows the same rule: 4 : 19, 6 : 29, 9 : 44. What is 7 : ? (a) 33 (b) 35 (c) 34 (d) 22
  9. 9.What is the units digit of 9^20? (a) 2 (b) 0 (c) 9 (d) 1
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
  11. 11.Every pair follows the same rule: 2 : 18, 5 : 45, 8 : 72. What is 4 : ? (a) 35 (b) 37 (c) 20 (d) 36
  12. 12.A shopkeeper buys a toy for ₹640 and sells it for ₹480. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  13. 13.If 9x + 21 = 138, what is x? (a) 12 (b) 13 (c) 14 (d) 117
  14. 14.What is the average of all the whole numbers from 30 to 70? (a) 20 (b) 50 (c) 51 (d) 40
  15. 15.Today is Monday. What day of the week will it be after 71 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  16. 16.Which fraction is greater: 2/3 or 3/5? (a) 3/5 (b) They are equal (c) 2/3
  17. 17.4/8 + 5/6 = ? (a) 11/8 (b) 31/24 (c) 4/3 (d) 9/14
  18. 18.Which fraction is greater: 1/3 or 1/5? (a) 1/5 (b) 1/3 (c) They are equal
  19. 19.If 6x + 29 = 71, what is x? (a) 7 (b) 6 (c) 8 (d) 42
  20. 20.₹270 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹135 (b) ₹81 (c) ₹189 (d) ₹27
  21. 21.Which fraction is greater: 8/9 or 1/10? (a) 8/9 (b) 1/10 (c) They are equal
  22. 22.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 8 (b) 35 (c) 18 (d) 25
  23. 23.If 9x − 6 = 111, what is x? (a) 12 (b) 14 (c) 13 (d) 117
  24. 24.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 108 min (c) 3 min (d) 21 min
  25. 25.Every pair follows the same rule: 2 : 1, 3 : 6, 5 : 22. What is 6 : ? (a) 33 (b) 34 (c) 32 (d) 30
  26. 26.In how many years will ₹8500 earn ₹1275 simple interest at 3% per year? (a) 10 years (b) 6 years (c) 4 years (d) 5 years
  27. 27.If 2x + 7 = 33, what is x? (a) 14 (b) 26 (c) 20 (d) 13
  28. 28.If 3 mangoes cost ₹27, how much do 7 mangoes cost? (a) ₹31 (b) ₹189 (c) ₹72 (d) ₹63
  29. 29.Every pair follows the same rule: 2 : 5, 3 : 10, 9 : 82. What is 6 : ? (a) 38 (b) 46 (c) 37 (d) 9
  30. 30.If 7 October is a Thursday, what day of the week is 18 October? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  31. 31.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
  32. 32.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 27 min (c) 42 min (d) 126 min
  33. 33.What is the smallest number you must add to 74 to make it divisible by 7? (a) 4 (b) 2 (c) 3 (d) 5
  34. 34.Every pair follows the same rule: 3 : 15, 4 : 20, 7 : 35. What is 8 : ? (a) 41 (b) 40 (c) 20 (d) 39
  35. 35.5.82 + 6.4 = ? (a) 12.32 (b) 12.22 (c) 12.12 (d) 6.46
  36. 36.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 4 : ? (a) 112 (b) 64 (c) 65 (d) 4
  37. 37.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 46 (b) 37 (c) 40 (d) 12
  38. 38.In how many years will ₹5500 earn ₹1375 simple interest at 5% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
  39. 39.2/3 + 8/9 = ? (a) 5/6 (b) 5/3 (c) 14/9 (d) 13/9
  40. 40.What is 1/2 of 4? (a) 2 (b) 4 (c) 1 (d) 3

Answer key

  1. 5 cm
  2. 6
  3. 140
  4. 42 min
  5. ₹574
  6. 11
  7. 14
  8. 34
  9. 1
  10. 56 sq cm
  11. 36
  12. 25%
  13. 13
  14. 50
  15. Tuesday
  16. 2/3
  17. 4/3
  18. 1/3
  19. 7
  20. ₹189
  21. 8/9
  22. 25
  23. 13
  24. 36 min
  25. 33
  26. 5 years
  27. 13
  28. ₹63
  29. 37
  30. Monday
  31. 99 sq cm
  32. 42 min
  33. 3
  34. 40
  35. 12.22
  36. 64
  37. 46
  38. 5 years
  39. 14/9
  40. 2

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