← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 978 · 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. 1.1/3 + 3/7 = ? (a) 2/5 (b) 5/7 (c) 17/21 (d) 16/21
  2. 2.The simple interest on ₹10000 for 3 years is ₹2100. What is the rate per year? (a) 21% (b) 7% (c) 6% (d) 8%
  3. 3.What is the value of the digit 9 in 97.625? (a) 0.09 (b) 90 (c) 0.9 (d) 9
  4. 4.Today is Saturday. What day of the week will it be after 89 days? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  5. 5.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 10 (c) 13 (d) 12
  6. 6.What is the simple interest on ₹2500 at 7% per year for 5 years? (a) ₹175 (b) ₹1050 (c) ₹3375 (d) ₹875
  7. 7.Every pair follows the same rule: 2 : 3, 3 : 5, 8 : 15. What is 6 : ? (a) 12 (b) 7 (c) 10 (d) 11
  8. 8.In how many years will ₹5000 earn ₹1100 simple interest at 11% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
  9. 9.Which fraction is greater: 1/4 or 8/11? (a) They are equal (b) 1/4 (c) 8/11
  10. 10.Which is the smallest: 0.8, 0.076, 0.725, 0.82? (a) 0.8 (b) 0.076 (c) 0.725 (d) 0.82
  11. 11.In how many years will ₹5000 earn ₹1000 simple interest at 4% per year? (a) 6 years (b) 5 years (c) 4 years (d) 10 years
  12. 12.₹231 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹189 (b) ₹63 (c) ₹21 (d) ₹168
  13. 13.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 360 min (b) 60 min (c) 42 min (d) 6 min
  14. 14.If x/4 + 10 = 14, what is x? (a) 46 (b) 96 (c) 16 (d) 4
  15. 15.If x/6 + 6 = 10, what is x? (a) 4 (b) 54 (c) 96 (d) 24
  16. 16.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
  17. 17.Every pair follows the same rule: 2 : 10, 3 : 15, 5 : 25. What is 8 : ? (a) 40 (b) 39 (c) 41 (d) 16
  18. 18.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 228 sq cm (b) 62 sq cm (c) 31 sq cm (d) 247 sq cm
  19. 19.If 5x − 24 = 1, what is x? (a) 6 (b) 5 (c) 25 (d) 4
  20. 20.A teacher has 16 pencils and 24 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) 48 (d) 4
  21. 21.If 4 July is a Friday, what day of the week is 14 July? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  22. 22.Every pair follows the same rule: 3 : 21, 8 : 26, 9 : 27. What is 5 : ? (a) 22 (b) 35 (c) 24 (d) 23
  23. 23.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 13 days (c) 25 days (d) 9 days
  24. 24.If 7 pens cost ₹21, how much do 11 pens cost? (a) ₹231 (b) ₹25 (c) ₹33 (d) ₹36
  25. 25.What is the smallest number you must add to 143 to make it divisible by 3? (a) 2 (b) 1
  26. 26.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 30% (c) 20% (d) 25%
  27. 27.What is the simple interest on ₹7000 at 5% per year for 4 years? (a) ₹8400 (b) ₹350 (c) ₹1750 (d) ₹1400
  28. 28.What is 1/5 of 10? (a) 8 (b) 3 (c) 2 (d) 4
  29. 29.Every pair follows the same rule: 3 : 11, 5 : 21, 7 : 31. What is 9 : ? (a) 42 (b) 41 (c) 40 (d) 17
  30. 30.If 8 March is a Tuesday, what day of the week is 20 March? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  31. 31.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 90 min (c) 6 min (d) 540 min
  32. 32.Two ribbons are 6 cm and 9 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) 3 cm (c) 6 cm (d) 18 cm
  33. 33.Which of these numbers is divisible by 8? (a) 1080 (b) 1093 (c) 1079 (d) 1084
  34. 34.A teacher has 20 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 5 (c) 20 (d) 25
  35. 35.Which of these numbers is divisible by 6? (a) 2416 (b) 2410 (c) 2423 (d) 2412
  36. 36.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 24 (b) 45 (c) 29 (d) 25
  37. 37.What is the units digit of 7^35? (a) 9 (b) 3 (c) 1 (d) 7
  38. 38.If 3 mangoes cost ₹33, how much do 12 mangoes cost? (a) ₹396 (b) ₹143 (c) ₹132 (d) ₹42
  39. 39.1.83 + 2.2 = ? (a) 4.13 (b) 3.93 (c) 2.05 (d) 4.03
  40. 40.9.93 + 7.2 = ? (a) 10.65 (b) 17.03 (c) 17.23 (d) 17.13

Answer key

  1. 16/21
  2. 7%
  3. 90
  4. Thursday
  5. 12
  6. ₹875
  7. 11
  8. 2 years
  9. 8/11
  10. 0.076
  11. 5 years
  12. ₹168
  13. 60 min
  14. 16
  15. 24
  16. 153 sq cm
  17. 40
  18. 228 sq cm
  19. 5
  20. 8
  21. Monday
  22. 23
  23. 25 days
  24. ₹33
  25. 1
  26. 25%
  27. ₹1400
  28. 2
  29. 41
  30. Sunday
  31. 90 min
  32. 3 cm
  33. 1080
  34. 5
  35. 2412
  36. 45
  37. 3
  38. ₹132
  39. 4.03
  40. 17.13

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