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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 617 · 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 kites cost ₹120, how much do 6 kites cost? (a) ₹720 (b) ₹168 (c) ₹121 (d) ₹144
  2. 2.What is the average of all the whole numbers from 31 to 61? (a) 15 (b) 46 (c) 47 (d) 30
  3. 3.7.82 + 4.1 = ? (a) 11.82 (b) 8.23 (c) 12.02 (d) 11.92
  4. 4.If 8x − 9 = 15, what is x? (a) 3 (b) 4 (c) 24 (d) 2
  5. 5.1/4 + 5/8 = ? (a) 7/8 (b) 1/2 (c) 3/4 (d) 1
  6. 6.8.65 + 4.6 = ? (a) 13.25 (b) 13.35 (c) 13.15 (d) 9.11
  7. 7.What is the average of 32, 18, 38, 36, 13 and 31? (a) 30 (b) 27 (c) 28 (d) 29
  8. 8.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 24 min (c) 10 min (d) 12 min
  9. 9.Which of these numbers is divisible by 3? (a) 919 (b) 915 (c) 914 (d) 917
  10. 10.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 56 sq cm (d) 48 sq cm
  11. 11.Every pair follows the same rule: 4 : 18, 5 : 21, 6 : 24. What is 3 : ? (a) 17 (b) 16 (c) 14 (d) 15
  12. 12.What is 1/2 of 8? (a) 5 (b) 4 (c) 3 (d) 8
  13. 13.Every pair follows the same rule: 5 : 28, 6 : 33, 8 : 43. What is 7 : ? (a) 39 (b) 30 (c) 38 (d) 37
  14. 14.What is the remainder when 212 is divided by 9? (a) 6 (b) 4 (c) 7 (d) 5
  15. 15.If 4x + 9 = 2x + 27, what is x? (a) 18 (b) 9 (c) 10 (d) 3
  16. 16.What is 4/7 of 70? (a) 10 (b) 50 (c) 40 (d) 30
  17. 17.What is the simple interest on ₹4500 at 7% per year for 4 years? (a) ₹1575 (b) ₹1260 (c) ₹5760 (d) ₹315
  18. 18.If 13 August is a Monday, what day of the week is 22 August? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  19. 19.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 30% (b) 25% (c) 26% (d) 20%
  20. 20.The simple interest on ₹6000 for 3 years is ₹900. What is the rate per year? (a) 5% (b) 6% (c) 15% (d) 4%
  21. 21.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 60 sq cm (c) 50 sq cm (d) 30 sq cm
  22. 22.A bag marked ₹760 is sold at a 30% discount. What is its selling price? (a) ₹532 (b) ₹988 (c) ₹730 (d) ₹228
  23. 23.If 5 October is a Monday, what day of the week is 17 October? (a) Friday (b) Sunday (c) Saturday (d) Monday
  24. 24.Which is the smallest: 0.8, 0.746, 0.079, 0.89? (a) 0.8 (b) 0.746 (c) 0.079 (d) 0.89
  25. 25.Two ribbons are 25 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 5 cm (c) 1 cm (d) 15 cm
  26. 26.What is the average of all the whole numbers from 37 to 61? (a) 49 (b) 12 (c) 24 (d) 50
  27. 27.If 3 notebooks cost ₹69, how much do 5 notebooks cost? (a) ₹138 (b) ₹345 (c) ₹115 (d) ₹71
  28. 28.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 44 (c) 24 (d) 60
  29. 29.If 6x + 8 = x + 58, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  30. 30.Which is the greatest: 0.747, 0.88, 0.8, 0.013? (a) 0.747 (b) 0.88 (c) 0.8 (d) 0.013
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  32. 32.If 2x + 9 = 29, what is x? (a) 20 (b) 19 (c) 10 (d) 11
  33. 33.What is the value of the digit 2 in 72.593? (a) 20 (b) 0.02 (c) 2 (d) 0.2
  34. 34.Every pair follows the same rule: 2 : 16, 3 : 24, 7 : 56. What is 6 : ? (a) 49 (b) 48 (c) 47 (d) 20
  35. 35.Every pair follows the same rule: 7 : 35, 8 : 39, 9 : 43. What is 6 : ? (a) 30 (b) 32 (c) 34 (d) 31
  36. 36.What is the simple interest on ₹7000 at 7% per year for 5 years? (a) ₹2450 (b) ₹2940 (c) ₹490 (d) ₹9450
  37. 37.Every pair follows the same rule: 4 : 16, 8 : 64, 9 : 81. What is 5 : ? (a) 13 (b) 20 (c) 17 (d) 25
  38. 38.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 15 (b) 71 (c) 37 (d) 49
  39. 39.6.19 + 7.3 = ? (a) 6.92 (b) 13.39 (c) 13.49 (d) 13.59
  40. 40.Which is the smallest: 0.6, 0.015, 0.599, 0.68? (a) 0.6 (b) 0.015 (c) 0.599 (d) 0.68

Answer key

  1. ₹144
  2. 46
  3. 11.92
  4. 3
  5. 7/8
  6. 13.25
  7. 28
  8. 12 min
  9. 915
  10. 48 sq cm
  11. 15
  12. 4
  13. 38
  14. 5
  15. 9
  16. 40
  17. ₹1260
  18. Wednesday
  19. 25%
  20. 5%
  21. 50 sq cm
  22. ₹532
  23. Saturday
  24. 0.079
  25. 5 cm
  26. 49
  27. ₹115
  28. 60
  29. 10
  30. 0.88
  31. 49 sq cm
  32. 10
  33. 2
  34. 48
  35. 31
  36. ₹2450
  37. 25
  38. 49
  39. 13.49
  40. 0.015

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