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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 135 · 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: 2 : 2, 5 : 23, 8 : 62. What is 3 : ? (a) 8 (b) 7 (c) 6 (d) 3
  2. 2.Every pair follows the same rule: 3 : 7, 5 : 9, 8 : 12. What is 6 : ? (a) 9 (b) 10 (c) 11 (d) 12
  3. 3.Which of these numbers is divisible by 9? (a) 5202 (b) 5203 (c) 5195 (d) 5214
  4. 4.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 56 min (c) 36 min (d) 224 min
  5. 5.If 2x − 6 = 18, what is x? (a) 12 (b) 24 (c) 6 (d) 13
  6. 6.Which fraction is greater: 1/6 or 3/4? (a) They are equal (b) 1/6 (c) 3/4
  7. 7.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 20% (b) 16% (c) 15% (d) 10%
  8. 8.What is 1/2 of 20? (a) 10 (b) 11 (c) 20 (d) 9
  9. 9.If 3x + 20 = 2x + 26, what is x? (a) 8 (b) 6 (c) 7 (d) 46
  10. 10.What is the average of all the whole numbers from 48 to 60? (a) 54 (b) 55 (c) 12 (d) 6
  11. 11.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 32 (b) 34 (c) 16 (d) 18
  12. 12.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 37 cm (c) 48 cm (d) 143 cm
  13. 13.What is the value of the digit 7 in 67.524? (a) 0.07 (b) 0.7 (c) 70 (d) 7
  14. 14.Every pair follows the same rule: 7 : 27, 8 : 31, 9 : 35. What is 2 : ? (a) 6 (b) 7 (c) 8 (d) 22
  15. 15.If 9 mangoes cost ₹144, how much do 10 mangoes cost? (a) ₹145 (b) ₹1440 (c) ₹176 (d) ₹160
  16. 16.1.81 + 1.4 = ? (a) 1.95 (b) 3.11 (c) 3.31 (d) 3.21
  17. 17.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  18. 18.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  19. 19.Every pair follows the same rule: 2 : 8, 3 : 10, 9 : 22. What is 6 : ? (a) 12 (b) 17 (c) 16 (d) 24
  20. 20.What is the smallest number you must add to 109 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  21. 21.What is 5/7 of 42? (a) 6 (b) 12 (c) 30 (d) 36
  22. 22.A bag marked ₹500 is sold at a 10% discount. What is its selling price? (a) ₹490 (b) ₹450 (c) ₹50 (d) ₹550
  23. 23.A bag marked ₹1580 is sold at a 30% discount. What is its selling price? (a) ₹1550 (b) ₹474 (c) ₹1106 (d) ₹2054
  24. 24.Which fraction is greater: 6/7 or 3/11? (a) 3/11 (b) They are equal (c) 6/7
  25. 25.Which fraction is greater: 6/11 or 3/4? (a) 6/11 (b) They are equal (c) 3/4
  26. 26.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 34 (b) 35 (c) 41 (d) 83
  27. 27.If 18 April is a Sunday, what day of the week is 9 May? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  28. 28.2/7 + 4/7 = ? (a) 1 (b) 3/7 (c) 6/7 (d) 5/7
  29. 29.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 49 days (b) 4 days (c) 19 days (d) 9 days
  30. 30.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 14 cm (c) 2 cm (d) 3 cm
  31. 31.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 54 (b) 40 (c) 50 (d) 86
  32. 32.Every pair follows the same rule: 2 : 20, 3 : 21, 7 : 25. What is 6 : ? (a) 23 (b) 60 (c) 24 (d) 25
  33. 33.If 4x + 20 = 3x + 24, what is x? (a) 4 (b) 6 (c) 44 (d) 5
  34. 34.If 8x − 30 = 2, what is x? (a) 3 (b) 32 (c) 5 (d) 4
  35. 35.A shopkeeper buys a toy for ₹460 and sells it for ₹414. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 46%
  36. 36.If 7x + 26 = 54, what is x? (a) 5 (b) 28 (c) 3 (d) 4
  37. 37.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 36 min (c) 320 min (d) 80 min
  38. 38.Every pair follows the same rule: 3 : 19, 4 : 24, 9 : 49. What is 7 : ? (a) 40 (b) 23 (c) 39 (d) 38
  39. 39.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 77 cm (c) 16 cm (d) 9 cm
  40. 40.Every pair follows the same rule: 3 : 21, 5 : 23, 9 : 27. What is 4 : ? (a) 23 (b) 22 (c) 28 (d) 21

Answer key

  1. 7
  2. 10
  3. 5202
  4. 56 min
  5. 12
  6. 3/4
  7. 15%
  8. 10
  9. 6
  10. 54
  11. 32
  12. 48 cm
  13. 7
  14. 7
  15. ₹160
  16. 3.21
  17. 49 sq cm
  18. 81 sq cm
  19. 16
  20. 3
  21. 30
  22. ₹450
  23. ₹1106
  24. 6/7
  25. 3/4
  26. 34
  27. Sunday
  28. 6/7
  29. 49 days
  30. 2 cm
  31. 86
  32. 24
  33. 4
  34. 4
  35. 10%
  36. 4
  37. 80 min
  38. 39
  39. 8 cm
  40. 22

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