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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 914 · 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 value of the digit 2 in 83.524? (a) 2 (b) 0.2 (c) 0.02 (d) 0.002
  2. 2.Which of these numbers is divisible by 4? (a) 2166 (b) 2170 (c) 2162 (d) 2164
  3. 3.What is 50% of 160? (a) 80 (b) 81 (c) 160 (d) 800
  4. 4.If 14 January is a Sunday, what day of the week is 22 January? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  5. 5.If x/3 + 10 = 21, what is x? (a) 53 (b) 93 (c) 11 (d) 33
  6. 6.If 15 September is a Tuesday, what day of the week is 13 October? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  7. 7.Every pair follows the same rule: 5 : 10, 8 : 16, 9 : 18. What is 3 : ? (a) 8 (b) 5 (c) 7 (d) 6
  8. 8.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 48 (c) 98 (d) 58
  9. 9.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 18 sq cm (d) 36 sq cm
  10. 10.Which of these numbers is divisible by 11? (a) 6887 (b) 6907 (c) 6913 (d) 6897
  11. 11.What is 50% of 980? (a) 491 (b) 4900 (c) 980 (d) 490
  12. 12.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 143 sq cm (c) 23 sq cm (d) 130 sq cm
  13. 13.If 8x + 17 = 7x + 26, what is x? (a) 10 (b) 43 (c) 11 (d) 9
  14. 14.What is the units digit of 7^28? (a) 3 (b) 1 (c) 7 (d) 9
  15. 15.What is the remainder when 246 is divided by 5? (a) 2 (b) 0 (c) 4 (d) 1
  16. 16.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  17. 17.₹528 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹96 (b) ₹264 (c) ₹48 (d) ₹432
  18. 18.Which fraction is greater: 1/5 or 5/9? (a) 1/5 (b) They are equal (c) 5/9
  19. 19.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 6 days (d) 5 days
  20. 20.3.27 + 1.7 = ? (a) 5.07 (b) 4.87 (c) 3.44 (d) 4.97
  21. 21.₹5000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹2750 (b) ₹5550 (c) ₹8300 (d) ₹7750
  22. 22.Which fraction is greater: 4/9 or 4/11? (a) 4/11 (b) 4/9 (c) They are equal
  23. 23.A teacher has 28 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 35 (d) 28
  24. 24.A shopkeeper buys a toy for ₹780 and sells it for ₹936. What is his profit percent? (a) 25% (b) 21% (c) 15% (d) 20%
  25. 25.Which fraction is greater: 1/5 or 1/4? (a) They are equal (b) 1/4 (c) 1/5
  26. 26.What is the smallest number you must add to 327 to make it divisible by 9? (a) 6 (b) 5 (c) 3 (d) 7
  27. 27.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 3 days (c) 12 days (d) 4 days
  28. 28.₹414 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹207 (b) ₹414 (c) ₹46 (d) ₹368
  29. 29.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 20% (b) 10% (c) 69% (d) 15%
  30. 30.If x/2 + 14 = 22, what is x? (a) 16 (b) 30 (c) 8 (d) 72
  31. 31.Which is the greatest: 0.424, 0.5, 0.018, 0.53? (a) 0.424 (b) 0.5 (c) 0.018 (d) 0.53
  32. 32.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 5 days (c) 35 days (d) 36 days
  33. 33.What is the value of the digit 3 in 12.345? (a) 0.3 (b) 0.03 (c) 3 (d) 0.003
  34. 34.What is the value of the digit 7 in 72.895? (a) 0.07 (b) 7 (c) 70 (d) 0.7
  35. 35.Which fraction is greater: 1/5 or 2/11? (a) 2/11 (b) They are equal (c) 1/5
  36. 36.Every pair follows the same rule: 6 : 36, 8 : 64, 9 : 81. What is 4 : ? (a) 17 (b) 24 (c) 16 (d) 34
  37. 37.What is the average of 17, 35, 18, 12, 28 and 28? (a) 24 (b) 25 (c) 22 (d) 23
  38. 38.4.91 + 3.2 = ? (a) 8.11 (b) 5.23 (c) 8.01 (d) 8.21
  39. 39.If 23 August is a Monday, what day of the week is 11 September? (a) Friday (b) Sunday (c) Saturday (d) Monday
  40. 40.Two ribbons are 33 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) 33 cm (b) 1 cm (c) 55 cm (d) 11 cm

Answer key

  1. 0.02
  2. 2164
  3. 80
  4. Monday
  5. 33
  6. Tuesday
  7. 6
  8. 98
  9. 80 sq cm
  10. 6897
  11. 490
  12. 130 sq cm
  13. 9
  14. 1
  15. 1
  16. 20%
  17. ₹432
  18. 5/9
  19. 6 days
  20. 4.97
  21. ₹7750
  22. 4/9
  23. 7
  24. 20%
  25. 1/4
  26. 6
  27. 3 days
  28. ₹368
  29. 15%
  30. 16
  31. 0.53
  32. 35 days
  33. 0.3
  34. 70
  35. 1/5
  36. 16
  37. 23
  38. 8.11
  39. Saturday
  40. 11 cm

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