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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 577 · 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 5 mangoes cost ₹30, how much do 11 mangoes cost? (a) ₹72 (b) ₹330 (c) ₹36 (d) ₹66
  2. 2.Two ribbons are 25 cm and 35 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) 5 cm (c) 10 cm (d) 25 cm
  3. 3.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 30 sq cm (c) 60 sq cm (d) 200 sq cm
  4. 4.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 1 : ? (a) 25 (b) 2 (c) 1 (d) 9
  5. 5.Which of these numbers is divisible by 3? (a) 2614 (b) 2609 (c) 2611 (d) 2610
  6. 6.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 4% (b) 5% (c) 6% (d) 10%
  7. 7.Which of these numbers is divisible by 8? (a) 1719 (b) 1708 (c) 1712 (d) 1721
  8. 8.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 42 (b) 144 (c) 432 (d) 72
  9. 9.What is the units digit of 8^56? (a) 2 (b) 8 (c) 4 (d) 6
  10. 10.Every pair follows the same rule: 2 : 6, 8 : 66, 9 : 83. What is 6 : ? (a) 10 (b) 18 (c) 38 (d) 32
  11. 11.If 5 kites cost ₹45, how much do 9 kites cost? (a) ₹49 (b) ₹81 (c) ₹405 (d) ₹90
  12. 12.What is the remainder when 266 is divided by 6? (a) 1 (b) 2 (c) 3 (d) 4
  13. 13.Which is the greatest: 0.397, 0.4, 0.45, 0.027? (a) 0.397 (b) 0.4 (c) 0.45 (d) 0.027
  14. 14.What is 7/9 of 108? (a) 96 (b) 84 (c) 12 (d) 24
  15. 15.Every pair follows the same rule: 3 : 14, 7 : 22, 8 : 24. What is 2 : ? (a) 14 (b) 13 (c) 11 (d) 12
  16. 16.Every pair follows the same rule: 3 : 5, 7 : 21, 8 : 25. What is 2 : ? (a) 4 (b) 3 (c) 2 (d) 1
  17. 17.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 15% (b) 30% (c) 10% (d) 5%
  18. 18.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 22 cm (b) 112 cm (c) 36 cm (d) 44 cm
  19. 19.Which is the smallest: 0.049, 0.5, 0.52, 0.413? (a) 0.049 (b) 0.5 (c) 0.52 (d) 0.413
  20. 20.The simple interest on ₹3000 for 2 years is ₹180. What is the rate per year? (a) 4% (b) 6% (c) 3% (d) 2%
  21. 21.1/2 + 5/8 = ? (a) 3/5 (b) 9/8 (c) 5/4 (d) 1
  22. 22.Which fraction is greater: 1/11 or 2/9? (a) 1/11 (b) 2/9 (c) They are equal
  23. 23.Today is Sunday. What day of the week will it be after 23 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  24. 24.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 16%
  25. 25.What is the average of all the whole numbers from 30 to 64? (a) 17 (b) 47 (c) 34 (d) 48
  26. 26.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 21 (c) 56 (d) 41
  27. 27.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 9% (b) 6% (c) 10% (d) 5%
  28. 28.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 96% (b) 25% (c) 30% (d) 35%
  29. 29.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 30 (b) 150 (c) 60 (d) 25
  30. 30.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 52 sq cm (c) 32 sq cm (d) 39 sq cm
  31. 31.If 7x + 1 = 106, what is x? (a) 16 (b) 105 (c) 14 (d) 15
  32. 32.A bag marked ₹640 is sold at a 50% discount. What is its selling price? (a) ₹321 (b) ₹320 (c) ₹960 (d) ₹590
  33. 33.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 52% (b) 25% (c) 15% (d) 20%
  34. 34.If 8 mangoes cost ₹24, how much do 9 mangoes cost? (a) ₹30 (b) ₹25 (c) ₹216 (d) ₹27
  35. 35.What is the smallest number you must add to 458 to make it divisible by 6? (a) 4 (b) 5 (c) 2 (d) 3
  36. 36.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
  37. 37.2.71 + 7.1 = ? (a) 9.71 (b) 9.81 (c) 9.91 (d) 3.42
  38. 38.What is 15% of 240? (a) 360 (b) 72 (c) 36 (d) 204
  39. 39.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 6 : ? (a) 36 (b) 38 (c) 18 (d) 12
  40. 40.If 6 mangoes cost ₹90, how much do 5 mangoes cost? (a) ₹89 (b) ₹450 (c) ₹75 (d) ₹90

Answer key

  1. ₹66
  2. 5 cm
  3. 200 sq cm
  4. 1
  5. 2610
  6. 5%
  7. 1712
  8. 72
  9. 6
  10. 38
  11. ₹81
  12. 2
  13. 0.45
  14. 84
  15. 12
  16. 1
  17. 10%
  18. 44 cm
  19. 0.049
  20. 3%
  21. 9/8
  22. 2/9
  23. Tuesday
  24. 15%
  25. 47
  26. 56
  27. 5%
  28. 30%
  29. 30
  30. 39 sq cm
  31. 15
  32. ₹320
  33. 20%
  34. ₹27
  35. 4
  36. 60 sq cm
  37. 9.81
  38. 36
  39. 36
  40. ₹75

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