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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 88 · 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.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 72 sq cm (d) 60 sq cm
  2. 2.What is the remainder when 85 is divided by 4? (a) 0 (b) 3 (c) 1 (d) 2
  3. 3.What is the value of the digit 7 in 57.963? (a) 70 (b) 7 (c) 0.07 (d) 0.7
  4. 4.What is the smallest number you must add to 207 to make it divisible by 4? (a) 1 (b) 2 (c) 3
  5. 5.₹560 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹360 (b) ₹40 (c) ₹280 (d) ₹200
  6. 6.If 8x + 13 = 3x + 58, what is x? (a) 11 (b) 10 (c) 9 (d) 8
  7. 7.If 12 March is a Tuesday, what day of the week is 5 April? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  8. 8.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 6 min (c) 216 min (d) 30 min
  9. 9.Today is Saturday. What day of the week will it be after 47 days? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
  10. 10.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 3 : ? (a) 26 (b) 27 (c) 28 (d) 3
  11. 11.What is the simple interest on ₹10000 at 10% per year for 5 years? (a) ₹15000 (b) ₹5000 (c) ₹6000 (d) ₹1000
  12. 12.Every pair follows the same rule: 2 : 4, 4 : 16, 7 : 49. What is 3 : ? (a) 10 (b) 9 (c) 5 (d) 6
  13. 13.Every pair follows the same rule: 3 : 17, 5 : 19, 9 : 23. What is 8 : ? (a) 24 (b) 22 (c) 21 (d) 23
  14. 14.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 10 (b) 54 (c) 46 (d) 48
  15. 15.If x/5 + 15 = 18, what is x? (a) 75 (b) 165 (c) 3 (d) 15
  16. 16.7.24 + 1.1 = ? (a) 8.44 (b) 8.24 (c) 8.34 (d) 7.35
  17. 17.If x/6 + 15 = 17, what is x? (a) 12 (b) 87 (c) 2 (d) 192
  18. 18.Today is Tuesday. What day of the week will it be after 12 days? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  19. 19.If 14 September is a Tuesday, what day of the week is 17 October? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  20. 20.What is the simple interest on ₹3000 at 2% per year for 4 years? (a) ₹3240 (b) ₹240 (c) ₹60 (d) ₹300
  21. 21.What is the average of 38, 51, 44, 47 and 30? (a) 44 (b) 42 (c) 41 (d) 43
  22. 22.If 2 pens cost ₹44, how much do 7 pens cost? (a) ₹49 (b) ₹176 (c) ₹308 (d) ₹154
  23. 23.Every pair follows the same rule: 2 : 4, 3 : 9, 6 : 36. What is 4 : ? (a) 6 (b) 8 (c) 16 (d) 18
  24. 24.If 5x + 9 = 3x + 11, what is x? (a) 1 (b) 3 (c) 10 (d) 2
  25. 25.Every pair follows the same rule: 3 : 6, 4 : 13, 5 : 22. What is 9 : ? (a) 58 (b) 78 (c) 12 (d) 18
  26. 26.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  27. 27.The simple interest on ₹3000 for 3 years is ₹270. What is the rate per year? (a) 4% (b) 2% (c) 3% (d) 9%
  28. 28.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 35 min (c) 60 min (d) 5 min
  29. 29.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 90 (c) 35 (d) 34
  30. 30.What is the value of the digit 4 in 19.364? (a) 0.4 (b) 0.04 (c) 0.004 (d) 4
  31. 31.What is the units digit of 2^55? (a) 4 (b) 6 (c) 2 (d) 8
  32. 32.1.48 + 5.7 = ? (a) 7.18 (b) 7.08 (c) 7.28 (d) 2.05
  33. 33.Today is Friday. What day of the week will it be after 86 days? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  34. 34.If x/5 + 14 = 17, what is x? (a) 71 (b) 3 (c) 155 (d) 15
  35. 35.5.36 + 2.2 = ? (a) 7.66 (b) 7.56 (c) 5.58 (d) 7.46
  36. 36.A teacher has 42 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 42 (b) 1 (c) 294 (d) 7
  37. 37.Every pair follows the same rule: 5 : 25, 6 : 36, 9 : 81. What is 2 : ? (a) 10 (b) 4 (c) 22 (d) 5
  38. 38.What is 1/3 of 18? (a) 5 (b) 7 (c) 6 (d) 12
  39. 39.If 11 October is a Tuesday, what day of the week is 2 November? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  40. 40.What is the average of all the whole numbers from 6 to 20? (a) 13 (b) 7 (c) 14 (d) 12

Answer key

  1. 60 sq cm
  2. 1
  3. 7
  4. 1
  5. ₹360
  6. 9
  7. Friday
  8. 36 min
  9. Thursday
  10. 27
  11. ₹5000
  12. 9
  13. 22
  14. 54
  15. 15
  16. 8.34
  17. 12
  18. Sunday
  19. Sunday
  20. ₹240
  21. 42
  22. ₹154
  23. 16
  24. 1
  25. 78
  26. 144 sq cm
  27. 3%
  28. 60 min
  29. 34
  30. 0.004
  31. 8
  32. 7.18
  33. Sunday
  34. 15
  35. 7.56
  36. 7
  37. 4
  38. 6
  39. Wednesday
  40. 13

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