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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 747 · 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 ₹1620 is sold at a 40% discount. What is its selling price? (a) ₹2268 (b) ₹1580 (c) ₹648 (d) ₹972
  2. 2.If 5x + 8 = 43, what is x? (a) 8 (b) 7 (c) 6 (d) 35
  3. 3.If 4x + 20 = 40, what is x? (a) 5 (b) 6 (c) 15 (d) 20
  4. 4.₹2500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹2550 (b) ₹100 (c) ₹2650 (d) ₹2600
  5. 5.Two ribbons are 16 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 4 cm (c) 16 cm (d) 24 cm
  6. 6.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 44 sq cm (d) 55 sq cm
  7. 7.The simple interest on ₹1000 for 2 years is ₹80. What is the rate per year? (a) 4% (b) 5% (c) 3% (d) 8%
  8. 8.4.14 + 9.1 = ? (a) 13.14 (b) 5.05 (c) 13.24 (d) 13.34
  9. 9.Every pair follows the same rule: 2 : 13, 8 : 19, 9 : 20. What is 3 : ? (a) 13 (b) 16 (c) 14 (d) 15
  10. 10.Today is Tuesday. What day of the week will it be after 71 days? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
  11. 11.What is the value of the digit 7 in 13.728? (a) 0.7 (b) 0.07 (c) 0.007 (d) 7
  12. 12.Every pair follows the same rule: 3 : 10, 4 : 17, 6 : 37. What is 8 : ? (a) 66 (b) 65 (c) 57 (d) 15
  13. 13.Every pair follows the same rule: 2 : 2, 6 : 10, 9 : 16. What is 3 : ? (a) 4 (b) 3 (c) 6 (d) 5
  14. 14.Two ribbons are 16 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 20 cm (c) 4 cm (d) 16 cm
  15. 15.What is 75% of 320? (a) 240 (b) 480 (c) 2400 (d) 80
  16. 16.6.45 + 4.8 = ? (a) 11.15 (b) 6.93 (c) 11.25 (d) 11.35
  17. 17.If 9x + 20 = 92, what is x? (a) 7 (b) 72 (c) 9 (d) 8
  18. 18.If 1 December is a Monday, what day of the week is 17 December? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  19. 19.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 31 cm (c) 50 cm (d) 228 cm
  20. 20.A bag marked ₹500 is sold at a 20% discount. What is its selling price? (a) ₹600 (b) ₹400 (c) ₹480 (d) ₹100
  21. 21.What is the units digit of 3^60? (a) 1 (b) 9 (c) 7 (d) 3
  22. 22.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 2 : ? (a) 9 (b) 32 (c) 8 (d) 62
  23. 23.Which of these numbers is divisible by 8? (a) 4703 (b) 4683 (c) 4694 (d) 4688
  24. 24.What is the units digit of 8^50? (a) 8 (b) 2 (c) 4 (d) 6
  25. 25.₹484 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹242 (b) ₹220 (c) ₹44 (d) ₹264
  26. 26.If 6x + 30 = 90, what is x? (a) 60 (b) 10 (c) 20 (d) 11
  27. 27.A teacher has 40 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 4 (c) 8 (d) 40
  28. 28.If 13 May is a Friday, what day of the week is 1 June? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  29. 29.If 2 pens cost ₹38, how much do 3 pens cost? (a) ₹39 (b) ₹114 (c) ₹76 (d) ₹57
  30. 30.A shopkeeper buys a toy for ₹600 and sells it for ₹510. What is his loss percent? (a) 10% (b) 20% (c) 90% (d) 15%
  31. 31.Every pair follows the same rule: 2 : 16, 4 : 32, 9 : 72. What is 5 : ? (a) 19 (b) 40 (c) 39 (d) 41
  32. 32.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 10 sq cm (d) 24 sq cm
  33. 33.Which fraction is greater: 4/5 or 1/6? (a) They are equal (b) 1/6 (c) 4/5
  34. 34.A shopkeeper buys a toy for ₹760 and sells it for ₹988. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
  35. 35.Two ribbons are 8 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 12 cm (c) 4 cm (d) 2 cm
  36. 36.If 6 notebooks cost ₹84, how much do 2 notebooks cost? (a) ₹42 (b) ₹28 (c) ₹80 (d) ₹168
  37. 37.What is the value of the digit 8 in 97.834? (a) 8 (b) 0.008 (c) 0.8 (d) 0.08
  38. 38.Every pair follows the same rule: 3 : 12, 4 : 19, 6 : 39. What is 2 : ? (a) 7 (b) 8 (c) 11 (d) 6
  39. 39.In how many years will ₹6000 earn ₹1440 simple interest at 8% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
  40. 40.₹328 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹41 (b) ₹164 (c) ₹123 (d) ₹205

Answer key

  1. ₹972
  2. 7
  3. 5
  4. ₹2600
  5. 8 cm
  6. 44 sq cm
  7. 4%
  8. 13.24
  9. 14
  10. Wednesday
  11. 0.7
  12. 65
  13. 4
  14. 4 cm
  15. 240
  16. 11.25
  17. 8
  18. Wednesday
  19. 62 cm
  20. ₹400
  21. 1
  22. 8
  23. 4688
  24. 4
  25. ₹264
  26. 10
  27. 8
  28. Wednesday
  29. ₹57
  30. 15%
  31. 40
  32. 24 sq cm
  33. 4/5
  34. 30%
  35. 4 cm
  36. ₹28
  37. 0.8
  38. 7
  39. 3 years
  40. ₹205

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