← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 659 · 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 40% of 60? (a) 240 (b) 48 (c) 36 (d) 24
  2. 2.What is the average of 35, 31, 27, 19, 25 and 67? (a) 35 (b) 33 (c) 36 (d) 34
  3. 3.If 1 January is a Monday, what day of the week is 14 January? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
  4. 4.Every pair follows the same rule: 2 : 4, 5 : 25, 7 : 49. What is 9 : ? (a) 73 (b) 18 (c) 81 (d) 11
  5. 5.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 11 cm (d) 18 cm
  6. 6.What is the average of 45, 37, 27, 37, 54 and 40? (a) 41 (b) 39 (c) 48 (d) 40
  7. 7.Which fraction is greater: 5/11 or 2/9? (a) They are equal (b) 5/11 (c) 2/9
  8. 8.In how many years will ₹7500 earn ₹600 simple interest at 2% per year? (a) 4 years (b) 3 years (c) 5 years (d) 8 years
  9. 9.If x/6 + 12 = 20, what is x? (a) 108 (b) 192 (c) 48 (d) 8
  10. 10.What is the remainder when 683 is divided by 10? (a) 7 (b) 3 (c) 2 (d) 4
  11. 11.The simple interest on ₹8500 for 2 years is ₹1700. What is the rate per year? (a) 9% (b) 20% (c) 10% (d) 11%
  12. 12.Which of these numbers is divisible by 11? (a) 4466 (b) 4479 (c) 4473 (d) 4457
  13. 13.What is the average of 27, 33, 39, 40 and 71? (a) 41 (b) 43 (c) 44 (d) 42
  14. 14.If 6 pens cost ₹66, how much do 9 pens cost? (a) ₹594 (b) ₹110 (c) ₹99 (d) ₹69
  15. 15.What is the smallest number you must add to 278 to make it divisible by 5? (a) 1 (b) 2 (c) 4 (d) 3
  16. 16.If 5x − 43 = 7, what is x? (a) 11 (b) 10 (c) 50 (d) 9
  17. 17.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 45 sq cm (c) 54 sq cm (d) 14 sq cm
  18. 18.What is the average of all the whole numbers from 41 to 75? (a) 34 (b) 17 (c) 59 (d) 58
  19. 19.6.99 + 7.7 = ? (a) 14.59 (b) 7.76 (c) 14.79 (d) 14.69
  20. 20.Every pair follows the same rule: 3 : 9, 8 : 64, 9 : 81. What is 2 : ? (a) 5 (b) 4 (c) 6 (d) 8
  21. 21.What is 1/6 of 66? (a) 55 (b) 22 (c) 12 (d) 11
  22. 22.If 11 October is a Friday, what day of the week is 26 October? (a) Friday (b) Saturday (c) Sunday (d) Monday
  23. 23.What is 1/5 of 20? (a) 16 (b) 8 (c) 4 (d) 5
  24. 24.What is 30% of 160? (a) 480 (b) 96 (c) 112 (d) 48
  25. 25.Which fraction is greater: 1/3 or 1/8? (a) They are equal (b) 1/8 (c) 1/3
  26. 26.5.11 + 1.8 = ? (a) 6.81 (b) 6.91 (c) 7.01 (d) 5.29
  27. 27.A teacher has 16 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 16 (c) 144 (d) 2
  28. 28.If 4x + 16 = x + 34, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  29. 29.Two ribbons are 60 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 6 cm (c) 60 cm (d) 48 cm
  30. 30.A shopkeeper buys a toy for ₹900 and sells it for ₹720. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  31. 31.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) 11 (b) 33 (c) 1 (d) 44
  32. 32.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 14 cm (d) 28 cm
  33. 33.Today is Saturday. What day of the week will it be after 94 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  34. 34.₹99 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹66 (b) ₹33 (c) ₹67 (d) ₹99
  35. 35.Two ribbons are 6 cm and 8 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 24 cm (c) 2 cm (d) 6 cm
  36. 36.The simple interest on ₹8000 for 4 years is ₹960. What is the rate per year? (a) 2% (b) 12% (c) 3% (d) 4%
  37. 37.What is the average of 34, 38, 45, 23 and 35? (a) 36 (b) 37 (c) 34 (d) 35
  38. 38.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  39. 39.What is the value of the digit 7 in 12.754? (a) 7 (b) 0.007 (c) 0.7 (d) 0.07
  40. 40.Which is the greatest: 0.678, 0.79, 0.7, 0.053? (a) 0.678 (b) 0.79 (c) 0.7 (d) 0.053

Answer key

  1. 24
  2. 34
  3. Sunday
  4. 81
  5. 22 cm
  6. 40
  7. 5/11
  8. 4 years
  9. 48
  10. 3
  11. 10%
  12. 4466
  13. 42
  14. ₹99
  15. 2
  16. 10
  17. 45 sq cm
  18. 58
  19. 14.69
  20. 4
  21. 11
  22. Saturday
  23. 4
  24. 48
  25. 1/3
  26. 6.91
  27. 2
  28. 6
  29. 12 cm
  30. 20%
  31. 11
  32. 28 cm
  33. Tuesday
  34. ₹66
  35. 2 cm
  36. 3%
  37. 35
  38. 18 cm
  39. 0.7
  40. 0.79

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad