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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 389 · 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 teacher has 4 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 4 (c) 2 (d) 14
  2. 2.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  3. 3.What is the units digit of 4^22? (a) 6 (b) 4 (c) 5 (d) 7
  4. 4.A teacher has 6 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 21 (c) 1 (d) 3
  5. 5.What is the average of 43, 67, 52 and 66? (a) 76 (b) 56 (c) 58 (d) 57
  6. 6.What is the average of all the whole numbers from 38 to 70? (a) 55 (b) 32 (c) 54 (d) 16
  7. 7.What is 2/9 of 63? (a) 14 (b) 21 (c) 49 (d) 7
  8. 8.What is the smallest number you must add to 99 to make it divisible by 6? (a) 3 (b) 5 (c) 2 (d) 4
  9. 9.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 15 (b) 35 (c) 44 (d) 32
  10. 10.If 14 October is a Wednesday, what day of the week is 29 October? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  11. 11.What is the smallest number you must add to 67 to make it divisible by 5? (a) 4 (b) 2 (c) 1 (d) 3
  12. 12.Every pair follows the same rule: 2 : 2, 8 : 62, 9 : 79. What is 5 : ? (a) 24 (b) 23 (c) 11 (d) 5
  13. 13.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 168 (b) 26 (c) 85 (d) 84
  14. 14.What is the average of 25, 25, 26, 48, 27 and 71? (a) 38 (b) 36 (c) 37 (d) 39
  15. 15.₹1500 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹405 (b) ₹1905 (c) ₹2040 (d) ₹1635
  16. 16.If x/3 + 13 = 23, what is x? (a) 10 (b) 30 (c) 56 (d) 108
  17. 17.If 17 August is a Wednesday, what day of the week is 6 September? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  18. 18.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 6 cm (c) 12 cm (d) 7 cm
  19. 19.Today is Thursday. What day of the week will it be after 38 days? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
  20. 20.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 20 (b) 21 (c) 40 (d) 14
  21. 21.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 14 cm (c) 6 cm (d) 3 cm
  22. 22.Which is the greatest: 0.5, 0.51, 0.469, 0.098? (a) 0.5 (b) 0.51 (c) 0.469 (d) 0.098
  23. 23.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 56 min (c) 28 min (d) 2 min
  24. 24.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 25 (c) 36 (d) 27
  25. 25.1/2 + 1/7 = ? (a) 2/9 (b) 5/7 (c) 4/7 (d) 9/14
  26. 26.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) 126 min (b) 756 min (c) 6 min (d) 60 min
  27. 27.2/4 + 3/8 = ? (a) 5/12 (b) 3/4 (c) 1 (d) 7/8
  28. 28.Every pair follows the same rule: 4 : 12, 5 : 15, 6 : 18. What is 9 : ? (a) 28 (b) 17 (c) 27 (d) 26
  29. 29.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 20% (b) 15% (c) 39% (d) 10%
  30. 30.What is the average of 58, 68, 67, 65, 75 and 105? (a) 73 (b) 74 (c) 72 (d) 75
  31. 31.The simple interest on ₹5000 for 3 years is ₹750. What is the rate per year? (a) 6% (b) 15% (c) 4% (d) 5%
  32. 32.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  33. 33.2/6 + 2/4 = ? (a) 11/12 (b) 5/6 (c) 2/5 (d) 3/4
  34. 34.2.67 + 5.9 = ? (a) 3.26 (b) 8.67 (c) 8.47 (d) 8.57
  35. 35.If 4x + 11 = x + 23, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  36. 36.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 84% (b) 35% (c) 25% (d) 30%
  37. 37.What is 60% of 320? (a) 128 (b) 384 (c) 192 (d) 1920
  38. 38.What is the value of the digit 8 in 64.258? (a) 0.008 (b) 0.08 (c) 0.8 (d) 8
  39. 39.Every pair follows the same rule: 5 : 35, 7 : 49, 8 : 56. What is 9 : ? (a) 63 (b) 39 (c) 62 (d) 64
  40. 40.Which fraction is greater: 1/5 or 1/11? (a) They are equal (b) 1/11 (c) 1/5

Answer key

  1. 2
  2. 12 sq cm
  3. 6
  4. 3
  5. 57
  6. 54
  7. 14
  8. 3
  9. 44
  10. Thursday
  11. 3
  12. 23
  13. 84
  14. 37
  15. ₹1905
  16. 30
  17. Tuesday
  18. 6 cm
  19. Sunday
  20. 20
  21. 3 cm
  22. 0.51
  23. 28 min
  24. 36
  25. 9/14
  26. 126 min
  27. 7/8
  28. 27
  29. 15%
  30. 73
  31. 5%
  32. 25 sq cm
  33. 5/6
  34. 8.57
  35. 4
  36. 30%
  37. 192
  38. 0.008
  39. 63
  40. 1/5

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