← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 507 · 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.If 4x + 14 = 3x + 16, what is x? (a) 30 (b) 3 (c) 2 (d) 4
  2. 2.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 6 days (c) 4 days (d) 16 days
  3. 3.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 30 (b) 66 (c) 63 (d) 90
  4. 4.What is the average of all the whole numbers from 30 to 52? (a) 22 (b) 11 (c) 42 (d) 41
  5. 5.If 8x + 18 = 138, what is x? (a) 15 (b) 16 (c) 120 (d) 14
  6. 6.In how many years will ₹4500 earn ₹810 simple interest at 6% per year? (a) 6 years (b) 3 years (c) 4 years (d) 2 years
  7. 7.What is 1/5 of 40? (a) 8 (b) 9 (c) 16 (d) 32
  8. 8.Every pair follows the same rule: 5 : 24, 6 : 25, 7 : 26. What is 3 : ? (a) 23 (b) 24 (c) 22 (d) 21
  9. 9.The simple interest on ₹2500 for 3 years is ₹375. What is the rate per year? (a) 15% (b) 4% (c) 5% (d) 6%
  10. 10.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
  11. 11.₹3500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹420 (b) ₹3920 (c) ₹4130 (d) ₹3710
  12. 12.7.82 + 9.8 = ? (a) 17.72 (b) 17.62 (c) 8.8 (d) 17.52
  13. 13.What is the simple interest on ₹4000 at 8% per year for 4 years? (a) ₹320 (b) ₹5280 (c) ₹1280 (d) ₹1600
  14. 14.Two ribbons are 55 cm and 88 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 55 cm (b) 11 cm (c) 1 cm (d) 33 cm
  15. 15.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 5 (c) 30 (d) 10
  16. 16.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 79 (c) 17 (d) 18
  17. 17.₹30 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹15 (b) ₹6 (c) ₹24 (d) ₹30
  18. 18.9.27 + 8.9 = ? (a) 10.16 (b) 18.17 (c) 18.27 (d) 18.07
  19. 19.A teacher has 14 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 112 (b) 14 (c) 2 (d) 1
  20. 20.What is the remainder when 564 is divided by 10? (a) 4 (b) 3 (c) 6 (d) 5
  21. 21.In how many years will ₹1000 earn ₹140 simple interest at 7% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
  22. 22.Which is the greatest: 0.015, 0.75, 0.619, 0.7? (a) 0.015 (b) 0.75 (c) 0.619 (d) 0.7
  23. 23.₹350 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹150 (b) ₹50 (c) ₹200 (d) ₹175
  24. 24.A shopkeeper buys a toy for ₹120 and sells it for ₹150. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  25. 25.If 4x + 5 = 17, what is x? (a) 3 (b) 4 (c) 2 (d) 12
  26. 26.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 40 (b) 41 (c) 47 (d) 95
  27. 27.1/6 + 1/3 = ? (a) 1/3 (b) 2/3 (c) 2/9 (d) 1/2
  28. 28.Every pair follows the same rule: 2 : 1, 5 : 7, 7 : 11. What is 3 : ? (a) 4 (b) 2 (c) 3 (d) 5
  29. 29.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 12 min (b) 2 min (c) 24 min (d) 10 min
  30. 30.If 15 October is a Sunday, what day of the week is 29 October? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  31. 31.What is 1/2 of 10? (a) 6 (b) 10 (c) 5 (d) 4
  32. 32.If 24 October is a Monday, what day of the week is 6 November? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  33. 33.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 5 : ? (a) 19 (b) 11 (c) 15 (d) 25
  34. 34.₹3000 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹3450 (b) ₹3600 (c) ₹3150 (d) ₹450
  35. 35.What is the value of the digit 7 in 51.738? (a) 0.007 (b) 7 (c) 0.7 (d) 0.07
  36. 36.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 6 (b) 217 (c) 216 (d) 174
  37. 37.Two ribbons are 84 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) 6 cm (b) 12 cm (c) 24 cm (d) 84 cm
  38. 38.If 6x + 15 = 3x + 42, what is x? (a) 10 (b) 19 (c) 9 (d) 3
  39. 39.What is the value of the digit 3 in 47.823? (a) 0.03 (b) 0.003 (c) 3 (d) 0.3
  40. 40.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) 8 (b) 16 (c) 4 (d) 40

Answer key

  1. 2
  2. 16 days
  3. 90
  4. 41
  5. 15
  6. 3 years
  7. 8
  8. 22
  9. 5%
  10. 112 sq cm
  11. ₹3920
  12. 17.62
  13. ₹1280
  14. 11 cm
  15. 10
  16. 17
  17. ₹24
  18. 18.17
  19. 2
  20. 4
  21. 2 years
  22. 0.75
  23. ₹200
  24. 25%
  25. 3
  26. 40
  27. 1/2
  28. 3
  29. 12 min
  30. Sunday
  31. 5
  32. Sunday
  33. 25
  34. ₹3450
  35. 0.7
  36. 216
  37. 12 cm
  38. 9
  39. 0.003
  40. 8

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