← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 873 · 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.Which fraction is greater: 3/7 or 3/4? (a) 3/7 (b) 3/4 (c) They are equal
  2. 2.If 30 January is a Thursday, what day of the week is 14 February? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  3. 3.What is the value of the digit 2 in 14.725? (a) 0.02 (b) 0.002 (c) 2 (d) 0.2
  4. 4.What is 15% of 380? (a) 323 (b) 57 (c) 570 (d) 114
  5. 5.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 210 (b) 105 (c) 525 (d) 50
  6. 6.What is the remainder when 209 is divided by 7? (a) 4 (b) 5 (c) 1 (d) 6
  7. 7.1/6 + 1/2 = ? (a) 5/6 (b) 1/2 (c) 2/3 (d) 1/4
  8. 8.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 48 (b) 28 (c) 96 (d) 192
  9. 9.If 9 mangoes cost ₹99, how much do 5 mangoes cost? (a) ₹66 (b) ₹495 (c) ₹95 (d) ₹55
  10. 10.Which fraction is greater: 3/7 or 1/3? (a) 1/3 (b) They are equal (c) 3/7
  11. 11.What is the remainder when 380 is divided by 12? (a) 7 (b) 4 (c) 9 (d) 8
  12. 12.Every pair follows the same rule: 2 : 11, 6 : 43, 9 : 88. What is 3 : ? (a) 17 (b) 12 (c) 15 (d) 16
  13. 13.What is the average of 47, 25, 45 and 15? (a) 34 (b) 44 (c) 32 (d) 33
  14. 14.Which fraction is greater: 7/10 or 5/11? (a) 5/11 (b) 7/10 (c) They are equal
  15. 15.What is 5% of 100? (a) 5 (b) 95 (c) 50 (d) 10
  16. 16.Today is Thursday. What day of the week will it be after 29 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  18. 18.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 40 (b) 60 (c) 92 (d) 56
  19. 19.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 53 (c) 29 (d) 32
  20. 20.2/8 + 1/8 = ? (a) 3/16 (b) 3/8 (c) 1/4 (d) 1/2
  21. 21.If 8 December is a Monday, what day of the week is 23 December? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  22. 22.Every pair follows the same rule: 7 : 46, 8 : 61, 9 : 78. What is 2 : ? (a) 2 (b) 1 (c) 41 (d) 3
  23. 23.Every pair follows the same rule: 4 : 14, 7 : 47, 8 : 62. What is 5 : ? (a) 24 (b) 23 (c) 15 (d) 17
  24. 24.What is 50% of 420? (a) 210 (b) 2100 (c) 211 (d) 420
  25. 25.What is 1/3 of 9? (a) 4 (b) 2 (c) 6 (d) 3
  26. 26.If 9 notebooks cost ₹81, how much do 11 notebooks cost? (a) ₹891 (b) ₹83 (c) ₹99 (d) ₹108
  27. 27.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
  28. 28.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 240 (b) 54 (c) 120 (d) 720
  29. 29.1/5 + 1/2 = ? (a) 2/7 (b) 4/5 (c) 3/5 (d) 7/10
  30. 30.What is the average of 8, 22, 8 and 50? (a) 23 (b) 22 (c) 24 (d) 21
  31. 31.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 27 sq cm (c) 54 sq cm (d) 152 sq cm
  32. 32.₹368 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹230 (b) ₹138 (c) ₹184 (d) ₹46
  33. 33.What is the average of all the whole numbers from 7 to 17? (a) 5 (b) 10 (c) 13 (d) 12
  34. 34.If 3 mangoes cost ₹69, how much do 11 mangoes cost? (a) ₹253 (b) ₹276 (c) ₹759 (d) ₹77
  35. 35.What is 75% of 980? (a) 245 (b) 7350 (c) 1470 (d) 735
  36. 36.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 50 cm (b) 44 cm (c) 114 cm (d) 25 cm
  37. 37.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 20 min (c) 24 min (d) 96 min
  38. 38.If 11 August is a Tuesday, what day of the week is 6 September? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
  39. 39.Two ribbons are 16 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 12 cm (c) 2 cm (d) 4 cm
  40. 40.Which is the smallest: 0.043, 0.65, 0.6, 0.545? (a) 0.043 (b) 0.65 (c) 0.6 (d) 0.545

Answer key

  1. 3/4
  2. Friday
  3. 0.02
  4. 57
  5. 105
  6. 6
  7. 2/3
  8. 48
  9. ₹55
  10. 3/7
  11. 8
  12. 16
  13. 33
  14. 7/10
  15. 5
  16. Friday
  17. 196 sq cm
  18. 92
  19. 53
  20. 3/8
  21. Tuesday
  22. 1
  23. 23
  24. 210
  25. 3
  26. ₹99
  27. 22 cm
  28. 120
  29. 7/10
  30. 22
  31. 152 sq cm
  32. ₹230
  33. 12
  34. ₹253
  35. 735
  36. 50 cm
  37. 24 min
  38. Sunday
  39. 4 cm
  40. 0.043

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