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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 655 · 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.Which is the greatest: 0.029, 0.33, 0.293, 0.3? (a) 0.029 (b) 0.33 (c) 0.293 (d) 0.3
  2. 2.If 1 May is a Monday, what day of the week is 9 May? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  3. 3.What is 1/2 of 16? (a) 8 (b) 16 (c) 9 (d) 7
  4. 4.1.11 + 3.8 = ? (a) 1.49 (b) 5.01 (c) 4.91 (d) 4.81
  5. 5.If x/2 + 6 = 14, what is x? (a) 40 (b) 8 (c) 22 (d) 16
  6. 6.What is the simple interest on ₹1000 at 5% per year for 5 years? (a) ₹50 (b) ₹300 (c) ₹250 (d) ₹1250
  7. 7.If 7x + 4 = x + 16, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  8. 8.Every pair follows the same rule: 5 : 24, 7 : 26, 8 : 27. What is 9 : ? (a) 29 (b) 28 (c) 30 (d) 27
  9. 9.₹6500 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹2275 (b) ₹6955 (c) ₹9230 (d) ₹8775
  10. 10.9.18 + 2.2 = ? (a) 11.38 (b) 11.48 (c) 9.4 (d) 11.28
  11. 11.The simple interest on ₹8500 for 5 years is ₹2550. What is the rate per year? (a) 30% (b) 6% (c) 7% (d) 5%
  12. 12.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 4 cm (d) 5 cm
  13. 13.Every pair follows the same rule: 3 : 14, 4 : 15, 8 : 19. What is 9 : ? (a) 20 (b) 19 (c) 22 (d) 21
  14. 14.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 26 sq cm (d) 52 sq cm
  15. 15.2/3 + 1/3 = ? (a) 1/2 (b) 1 (c) 4/3 (d) 2/3
  16. 16.Every pair follows the same rule: 2 : 19, 6 : 39, 8 : 49. What is 5 : ? (a) 35 (b) 34 (c) 33 (d) 22
  17. 17.If 9x + 19 = 6x + 52, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  18. 18.Which fraction is greater: 2/7 or 4/5? (a) 4/5 (b) They are equal (c) 2/7
  19. 19.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 3 : ? (a) 6 (b) 5 (c) 9 (d) 7
  20. 20.5/6 + 2/3 = ? (a) 5/3 (b) 7/9 (c) 4/3 (d) 3/2
  21. 21.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
  22. 22.If 9 July is a Tuesday, what day of the week is 24 July? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  23. 23.Which fraction is greater: 3/5 or 1/9? (a) They are equal (b) 1/9 (c) 3/5
  24. 24.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 10 cm (c) 11 cm (d) 20 cm
  25. 25.If 6 mangoes cost ₹24, how much do 10 mangoes cost? (a) ₹44 (b) ₹28 (c) ₹240 (d) ₹40
  26. 26.Today is Saturday. What day of the week will it be after 55 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  27. 27.What is the value of the digit 6 in 52.946? (a) 0.06 (b) 0.6 (c) 0.006 (d) 6
  28. 28.If 5 pens cost ₹75, how much do 7 pens cost? (a) ₹525 (b) ₹77 (c) ₹105 (d) ₹120
  29. 29.If 6x + 14 = 4x + 36, what is x? (a) 25 (b) 13 (c) 12 (d) 11
  30. 30.What is the remainder when 258 is divided by 10? (a) 9 (b) 8 (c) 2 (d) 7
  31. 31.Every pair follows the same rule: 2 : 9, 5 : 30, 6 : 41. What is 8 : ? (a) 63 (b) 15 (c) 70 (d) 69
  32. 32.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 28 days (b) 26 days (c) 27 days (d) 13 days
  33. 33.Which of these numbers is divisible by 9? (a) 2403 (b) 2419 (c) 2411 (d) 2401
  34. 34.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 9 (b) 8 (c) 7 (d) 2
  35. 35.If x/4 + 11 = 23, what is x? (a) 136 (b) 81 (c) 48 (d) 12
  36. 36.Two bells ring every 6 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 27 min (c) 126 min (d) 42 min
  37. 37.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 91 cm (b) 20 cm (c) 33 cm (d) 40 cm
  38. 38.A teacher has 12 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 60 (b) 12 (c) 1 (d) 3
  39. 39.What is the simple interest on ₹3500 at 4% per year for 3 years? (a) ₹420 (b) ₹3920 (c) ₹560 (d) ₹140
  40. 40.3.32 + 1.4 = ? (a) 4.82 (b) 4.62 (c) 4.72 (d) 3.46

Answer key

  1. 0.33
  2. Tuesday
  3. 8
  4. 4.91
  5. 16
  6. ₹250
  7. 2
  8. 28
  9. ₹8775
  10. 11.38
  11. 6%
  12. 4 cm
  13. 20
  14. 153 sq cm
  15. 1
  16. 34
  17. 11
  18. 4/5
  19. 9
  20. 3/2
  21. 28 cm
  22. Wednesday
  23. 3/5
  24. 10 cm
  25. ₹40
  26. Friday
  27. 0.006
  28. ₹105
  29. 11
  30. 8
  31. 69
  32. 27 days
  33. 2403
  34. 8
  35. 48
  36. 42 min
  37. 40 cm
  38. 3
  39. ₹420
  40. 4.72

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