← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 572 · 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 the average of all the whole numbers from 18 to 32? (a) 25 (b) 26 (c) 14 (d) 7
  2. 2.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 72 cm
  3. 3.Which is the greatest: 0.5, 0.59, 0.039, 0.458? (a) 0.5 (b) 0.59 (c) 0.039 (d) 0.458
  4. 4.Every pair follows the same rule: 2 : 1, 4 : 5, 6 : 9. What is 7 : ? (a) 11 (b) 10 (c) 13 (d) 12
  5. 5.Which fraction is greater: 3/4 or 1/6? (a) They are equal (b) 3/4 (c) 1/6
  6. 6.Every pair follows the same rule: 6 : 28, 7 : 32, 9 : 40. What is 5 : ? (a) 24 (b) 23 (c) 25 (d) 27
  7. 7.₹280 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹28 (b) ₹196 (c) ₹140 (d) ₹84
  8. 8.What is the units digit of 2^45? (a) 4 (b) 2 (c) 8 (d) 6
  9. 9.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 17 days (c) 4 days (d) 5 days
  10. 10.What is the remainder when 55 is divided by 3? (a) 1 (b) 2 (c) 0
  11. 11.A teacher has 10 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 1 (d) 25
  12. 12.What is 1/2 of 4? (a) 4 (b) 1 (c) 3 (d) 2
  13. 13.What is 3/8 of 24? (a) 15 (b) 9 (c) 12 (d) 3
  14. 14.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 1 : ? (a) 2 (b) 9 (c) 1 (d) 25
  15. 15.The simple interest on ₹9500 for 2 years is ₹760. What is the rate per year? (a) 3% (b) 5% (c) 8% (d) 4%
  16. 16.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 209 cm
  17. 17.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 61 (b) 48 (c) 53 (d) 93
  18. 18.4.76 + 7.4 = ? (a) 12.16 (b) 12.26 (c) 5.5 (d) 12.06
  19. 19.What is the average of 48, 39, 60 and 57? (a) 52 (b) 68 (c) 50 (d) 51
  20. 20.In how many years will ₹9500 earn ₹3420 simple interest at 12% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
  21. 21.What is 7/9 of 81? (a) 18 (b) 63 (c) 9 (d) 72
  22. 22.What is the average of 28, 24, 41 and 35? (a) 32 (b) 33 (c) 34 (d) 31
  23. 23.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 112 (b) 224 (c) 56 (d) 36
  24. 24.A teacher has 9 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 1 (c) 3 (d) 15
  25. 25.If 8x + 1 = x + 36, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  26. 26.9 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 11 days (c) 13 days (d) 12 days
  27. 27.If 9 pens cost ₹198, how much do 7 pens cost? (a) ₹196 (b) ₹1386 (c) ₹154 (d) ₹176
  28. 28.Which is the greatest: 0.46, 0.064, 0.4, 0.366? (a) 0.46 (b) 0.064 (c) 0.4 (d) 0.366
  29. 29.Which of these numbers is divisible by 9? (a) 2268 (b) 2284 (c) 2273 (d) 2261
  30. 30.If 4 July is a Sunday, what day of the week is 17 July? (a) Monday (b) Friday (c) Saturday (d) Sunday
  31. 31.Which is the greatest: 0.2, 0.29, 0.067, 0.128? (a) 0.2 (b) 0.29 (c) 0.067 (d) 0.128
  32. 32.What is 1/2 of 22? (a) 22 (b) 12 (c) 10 (d) 11
  33. 33.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 13 cm (c) 3 cm (d) 4 cm
  34. 34.A teacher has 22 pencils and 33 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 22 (c) 1 (d) 66
  35. 35.Which fraction is greater: 1/9 or 2/5? (a) 1/9 (b) 2/5 (c) They are equal
  36. 36.What is the average of all the whole numbers from 16 to 22? (a) 6 (b) 3 (c) 20 (d) 19
  37. 37.Every pair follows the same rule: 2 : 13, 6 : 45, 8 : 73. What is 4 : ? (a) 15 (b) 17 (c) 26 (d) 25
  38. 38.What is the remainder when 498 is divided by 11? (a) 2 (b) 4 (c) 8 (d) 3
  39. 39.If 2 October is a Friday, what day of the week is 16 October? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  40. 40.Which fraction is greater: 4/9 or 2/7? (a) 2/7 (b) 4/9 (c) They are equal

Answer key

  1. 25
  2. 5 cm
  3. 0.59
  4. 11
  5. 3/4
  6. 24
  7. ₹196
  8. 2
  9. 5 days
  10. 1
  11. 5
  12. 2
  13. 9
  14. 1
  15. 4%
  16. 12 cm
  17. 93
  18. 12.16
  19. 51
  20. 3 years
  21. 63
  22. 32
  23. 56
  24. 3
  25. 5
  26. 12 days
  27. ₹154
  28. 0.46
  29. 2268
  30. Saturday
  31. 0.29
  32. 11
  33. 2 cm
  34. 11
  35. 2/5
  36. 19
  37. 25
  38. 3
  39. Friday
  40. 4/9

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