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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 234 · 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.Two ribbons are 80 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 80 cm (b) 5 cm (c) 10 cm (d) 720 cm
  2. 2.Which is the smallest: 0.38, 0.281, 0.037, 0.3? (a) 0.38 (b) 0.281 (c) 0.037 (d) 0.3
  3. 3.Every pair follows the same rule: 3 : 5, 5 : 9, 6 : 11. What is 9 : ? (a) 18 (b) 11 (c) 16 (d) 17
  4. 4.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 2 : ? (a) 18 (b) 9 (c) 26 (d) 8
  5. 5.If 11 May is a Wednesday, what day of the week is 1 June? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  6. 6.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 20 cm (c) 153 cm (d) 11 cm
  7. 7.₹9500 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹950 (b) ₹9975 (c) ₹10450 (d) ₹10925
  8. 8.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 28 sq cm (d) 35 sq cm
  9. 9.In how many years will ₹7000 earn ₹980 simple interest at 7% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  10. 10.A shopkeeper buys a toy for ₹520 and sells it for ₹468. What is his loss percent? (a) 52% (b) 5% (c) 15% (d) 10%
  11. 11.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 74 (b) 35 (c) 46 (d) 53
  12. 12.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 76 (b) 4 (c) 65 (d) 64
  13. 13.2/3 + 6/8 = ? (a) 8/11 (b) 17/12 (c) 11/8 (d) 35/24
  14. 14.2.71 + 4.5 = ? (a) 7.21 (b) 7.31 (c) 3.16 (d) 7.11
  15. 15.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 756 min (c) 6 min (d) 126 min
  16. 16.What is the value of the digit 3 in 74.931? (a) 3 (b) 0.03 (c) 0.3 (d) 0.003
  17. 17.If 6x + 13 = 2x + 25, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  18. 18.What is the average of 52, 59, 63 and 22? (a) 51 (b) 50 (c) 48 (d) 49
  19. 19.₹1500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹1680 (b) ₹2220 (c) ₹2040 (d) ₹540
  20. 20.What is the units digit of 2^55? (a) 2 (b) 6 (c) 4 (d) 8
  21. 21.What is the simple interest on ₹9500 at 10% per year for 3 years? (a) ₹3800 (b) ₹2850 (c) ₹12350 (d) ₹950
  22. 22.Today is Tuesday. What day of the week will it be after 56 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  23. 23.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 24 cm (c) 13 cm (d) 12 cm
  24. 24.Which is the greatest: 0.572, 0.65, 0.6, 0.076? (a) 0.572 (b) 0.65 (c) 0.6 (d) 0.076
  25. 25.Every pair follows the same rule: 3 : 6, 7 : 14, 9 : 18. What is 4 : ? (a) 9 (b) 7 (c) 10 (d) 8
  26. 26.Every pair follows the same rule: 3 : 17, 5 : 19, 9 : 23. What is 7 : ? (a) 21 (b) 22 (c) 20 (d) 23
  27. 27.3/4 + 2/4 = ? (a) 5/8 (b) 3/2 (c) 1 (d) 5/4
  28. 28.If 11 January is a Saturday, what day of the week is 3 February? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  29. 29.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 10% (b) 14% (c) 6% (d) 5%
  30. 30.Which fraction is greater: 1/3 or 9/10? (a) They are equal (b) 1/3 (c) 9/10
  31. 31.What is the value of the digit 4 in 42.816? (a) 0.4 (b) 0.04 (c) 40 (d) 4
  32. 32.1.02 + 6.5 = ? (a) 1.67 (b) 7.42 (c) 7.62 (d) 7.52
  33. 33.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 33 (b) 16 (c) 36 (d) 19
  34. 34.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 756 (c) 252 (d) 126
  35. 35.₹238 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹119 (b) ₹68 (c) ₹34 (d) ₹170
  36. 36.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 39 cm (d) 112 cm
  37. 37.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 84%
  38. 38.Every pair follows the same rule: 2 : 9, 4 : 21, 8 : 69. What is 6 : ? (a) 42 (b) 45 (c) 41 (d) 13
  39. 39.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 104 cm
  40. 40.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 26 sq cm (b) 176 sq cm (c) 52 sq cm (d) 160 sq cm

Answer key

  1. 10 cm
  2. 0.037
  3. 17
  4. 8
  5. Wednesday
  6. 10 cm
  7. ₹10450
  8. 28 sq cm
  9. 2 years
  10. 10%
  11. 74
  12. 64
  13. 17/12
  14. 7.21
  15. 126 min
  16. 0.03
  17. 3
  18. 49
  19. ₹2040
  20. 8
  21. ₹2850
  22. Tuesday
  23. 12 cm
  24. 0.65
  25. 8
  26. 21
  27. 5/4
  28. Monday
  29. 5%
  30. 9/10
  31. 40
  32. 7.52
  33. 33
  34. 126
  35. ₹170
  36. 46 cm
  37. 15%
  38. 41
  39. 9 cm
  40. 160 sq cm

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