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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 203 · 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.What is the average of all the whole numbers from 45 to 53? (a) 4 (b) 49 (c) 8 (d) 50
  2. 2.A bag marked ₹1700 is sold at a 20% discount. What is its selling price? (a) ₹1360 (b) ₹2040 (c) ₹340 (d) ₹1680
  3. 3.If 7x + 19 = 6x + 31, what is x? (a) 12 (b) 13 (c) 50 (d) 14
  4. 4.6 workers can build a wall in 10 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 7 days (c) 5 days (d) 20 days
  5. 5.If 2 kites cost ₹10, how much do 5 kites cost? (a) ₹13 (b) ₹30 (c) ₹50 (d) ₹25
  6. 6.What is the average of 40, 60, 39 and 49? (a) 47 (b) 46 (c) 49 (d) 48
  7. 7.What is the simple interest on ₹2500 at 11% per year for 4 years? (a) ₹3600 (b) ₹1375 (c) ₹275 (d) ₹1100
  8. 8.If x/6 + 10 = 15, what is x? (a) 30 (b) 5 (c) 150 (d) 80
  9. 9.If 6x + 19 = 4x + 31, what is x? (a) 7 (b) 25 (c) 8 (d) 6
  10. 10.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 130 cm (b) 11 cm (c) 12 cm (d) 22 cm
  11. 11.The simple interest on ₹6500 for 3 years is ₹1950. What is the rate per year? (a) 10% (b) 30% (c) 11% (d) 9%
  12. 12.What is 1/2 of 6? (a) 6 (b) 3 (c) 2 (d) 4
  13. 13.Every pair follows the same rule: 2 : 5, 7 : 50, 9 : 82. What is 6 : ? (a) 9 (b) 37 (c) 38 (d) 34
  14. 14.Which fraction is greater: 2/5 or 3/10? (a) 3/10 (b) 2/5 (c) They are equal
  15. 15.If 3 pens cost ₹51, how much do 5 pens cost? (a) ₹255 (b) ₹53 (c) ₹85 (d) ₹102
  16. 16.What is the smallest number you must add to 827 to make it divisible by 11? (a) 2 (b) 9 (c) 8 (d) 10
  17. 17.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  18. 18.5.45 + 9.1 = ? (a) 14.65 (b) 14.45 (c) 6.36 (d) 14.55
  19. 19.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 168 cm (c) 52 cm (d) 26 cm
  20. 20.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 34% (b) 15% (c) 10% (d) 5%
  21. 21.In how many years will ₹4000 earn ₹1440 simple interest at 9% per year? (a) 3 years (b) 4 years (c) 8 years (d) 5 years
  22. 22.A shopkeeper buys a toy for ₹720 and sells it for ₹792. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 72%
  23. 23.What is the value of the digit 4 in 62.748? (a) 0.004 (b) 0.4 (c) 0.04 (d) 4
  24. 24.The simple interest on ₹3000 for 2 years is ₹120. What is the rate per year? (a) 1% (b) 4% (c) 3% (d) 2%
  25. 25.What is the smallest number you must add to 261 to make it divisible by 10? (a) 9 (b) 1 (c) 7 (d) 8
  26. 26.What is the smallest number you must add to 257 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  27. 27.If 3x + 3 = 2x + 4, what is x? (a) 1 (b) 2 (c) 3 (d) 7
  28. 28.Which fraction is greater: 2/5 or 4/7? (a) 4/7 (b) 2/5 (c) They are equal
  29. 29.If x/4 + 4 = 8, what is x? (a) 16 (b) 48 (c) 4 (d) 28
  30. 30.What is the average of 56, 60, 43, 54, 55 and 20? (a) 48 (b) 47 (c) 49 (d) 50
  31. 31.If 6 kites cost ₹84, how much do 4 kites cost? (a) ₹70 (b) ₹336 (c) ₹56 (d) ₹82
  32. 32.Which is the smallest: 0.729, 0.87, 0.066, 0.8? (a) 0.729 (b) 0.87 (c) 0.066 (d) 0.8
  33. 33.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 18 sq cm (c) 36 sq cm (d) 70 sq cm
  34. 34.If x/3 + 15 = 19, what is x? (a) 4 (b) 42 (c) 12 (d) 102
  35. 35.1/2 + 2/7 = ? (a) 1/3 (b) 6/7 (c) 5/7 (d) 11/14
  36. 36.What is 2/5 of 60? (a) 12 (b) 25 (c) 36 (d) 24
  37. 37.Which is the greatest: 0.82, 0.8, 0.797, 0.011? (a) 0.82 (b) 0.8 (c) 0.797 (d) 0.011
  38. 38.If 18 June is a Sunday, what day of the week is 11 July? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  39. 39.Every pair follows the same rule: 2 : 9, 3 : 14, 7 : 54. What is 9 : ? (a) 16 (b) 87 (c) 86 (d) 74
  40. 40.A shopkeeper buys a toy for ₹580 and sells it for ₹522. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 58%

Answer key

  1. 49
  2. ₹1360
  3. 12
  4. 20 days
  5. ₹25
  6. 47
  7. ₹1100
  8. 30
  9. 6
  10. 11 cm
  11. 10%
  12. 3
  13. 37
  14. 2/5
  15. ₹85
  16. 9
  17. 25%
  18. 14.55
  19. 52 cm
  20. 10%
  21. 4 years
  22. 10%
  23. 0.04
  24. 2%
  25. 9
  26. 3
  27. 1
  28. 4/7
  29. 16
  30. 48
  31. ₹56
  32. 0.066
  33. 56 sq cm
  34. 12
  35. 11/14
  36. 24
  37. 0.82
  38. Tuesday
  39. 86
  40. 10%

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