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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 350 · 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 bag marked ₹1440 is sold at a 10% discount. What is its selling price? (a) ₹1296 (b) ₹1430 (c) ₹144 (d) ₹1584
  2. 2.What is the units digit of 4^14? (a) 7 (b) 6 (c) 4 (d) 5
  3. 3.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 15 (b) 36 (c) 18 (d) 54
  4. 4.What is the value of the digit 2 in 37.625? (a) 0.002 (b) 0.2 (c) 0.02 (d) 2
  5. 5.Which fraction is greater: 3/11 or 2/3? (a) 2/3 (b) 3/11 (c) They are equal
  6. 6.What is the smallest number you must add to 572 to make it divisible by 9? (a) 4 (b) 3 (c) 6 (d) 5
  7. 7.What is the average of 81, 75, 63, 65 and 46? (a) 65 (b) 67 (c) 68 (d) 66
  8. 8.A bag marked ₹400 is sold at a 50% discount. What is its selling price? (a) ₹350 (b) ₹201 (c) ₹200 (d) ₹600
  9. 9.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 35% (b) 25% (c) 30% (d) 84%
  10. 10.What is the value of the digit 8 in 84.523? (a) 0.08 (b) 0.8 (c) 8 (d) 80
  11. 11.A teacher has 44 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 44 (c) 33 (d) 11
  12. 12.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 18 cm (d) 9 cm
  13. 13.2/3 + 1/8 = ? (a) 3/11 (b) 19/24 (c) 5/6 (d) 3/4
  14. 14.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 22 cm (d) 48 cm
  15. 15.1.53 + 6.3 = ? (a) 2.16 (b) 7.93 (c) 7.73 (d) 7.83
  16. 16.5/8 + 3/4 = ? (a) 11/8 (b) 2/3 (c) 5/4 (d) 3/2
  17. 17.If 4x + 17 = x + 29, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  18. 18.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 36 (b) 3 (c) 28 (d) 27
  19. 19.What is the average of 71, 75, 76 and 30? (a) 63 (b) 64 (c) 84 (d) 62
  20. 20.If 6 August is a Friday, what day of the week is 22 August? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
  21. 21.If 17 September is a Friday, what day of the week is 18 October? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
  22. 22.In how many years will ₹5500 earn ₹550 simple interest at 5% per year? (a) 2 years (b) 4 years (c) 3 years (d) 1 year
  23. 23.3 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 18 days (b) 2 days (c) 3 days (d) 12 days
  24. 24.7.12 + 6.3 = ? (a) 7.75 (b) 13.52 (c) 13.32 (d) 13.42
  25. 25.What is the smallest number you must add to 740 to make it divisible by 11? (a) 8 (b) 7 (c) 3 (d) 9
  26. 26.Every pair follows the same rule: 2 : 16, 3 : 24, 9 : 72. What is 5 : ? (a) 19 (b) 41 (c) 40 (d) 39
  27. 27.If 15 December is a Thursday, what day of the week is 26 December? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  28. 28.If 2 December is a Tuesday, what day of the week is 10 December? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  29. 29.If 13 October is a Wednesday, what day of the week is 12 November? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  30. 30.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
  31. 31.Which fraction is greater: 1/3 or 9/11? (a) 1/3 (b) They are equal (c) 9/11
  32. 32.If 3 mangoes cost ₹72, how much do 5 mangoes cost? (a) ₹74 (b) ₹144 (c) ₹360 (d) ₹120
  33. 33.1/2 + 2/3 = ? (a) 4/3 (b) 1 (c) 3/5 (d) 7/6
  34. 34.What is the simple interest on ₹6500 at 12% per year for 2 years? (a) ₹780 (b) ₹2340 (c) ₹1560 (d) ₹8060
  35. 35.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 84 (b) 336 (c) 40 (d) 168
  36. 36.Which is the smallest: 0.142, 0.22, 0.2, 0.043? (a) 0.142 (b) 0.22 (c) 0.2 (d) 0.043
  37. 37.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 37 (b) 36 (c) 100 (d) 48
  38. 38.A shopkeeper buys a toy for ₹560 and sells it for ₹588. What is his profit percent? (a) 5% (b) 10% (c) 28% (d) 6%
  39. 39.Which fraction is greater: 1/3 or 4/5? (a) 1/3 (b) 4/5 (c) They are equal
  40. 40.A bag marked ₹1400 is sold at a 20% discount. What is its selling price? (a) ₹1120 (b) ₹1380 (c) ₹1680 (d) ₹280

Answer key

  1. ₹1296
  2. 6
  3. 18
  4. 0.02
  5. 2/3
  6. 4
  7. 66
  8. ₹200
  9. 30%
  10. 80
  11. 11
  12. 9 cm
  13. 19/24
  14. 28 cm
  15. 7.83
  16. 11/8
  17. 4
  18. 27
  19. 63
  20. Sunday
  21. Monday
  22. 2 years
  23. 2 days
  24. 13.42
  25. 8
  26. 40
  27. Monday
  28. Wednesday
  29. Friday
  30. 22 cm
  31. 9/11
  32. ₹120
  33. 7/6
  34. ₹1560
  35. 84
  36. 0.043
  37. 36
  38. 5%
  39. 4/5
  40. ₹1120

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