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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 366 · 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 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 1 (c) 4 (d) 2
  2. 2.What is the average of all the whole numbers from 46 to 54? (a) 51 (b) 8 (c) 50 (d) 4
  3. 3.What is the units digit of 3^47? (a) 9 (b) 3 (c) 1 (d) 7
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  5. 5.What is the units digit of 9^36? (a) 1 (b) 0 (c) 2 (d) 9
  6. 6.If 7 pens cost ₹77, how much do 4 pens cost? (a) ₹55 (b) ₹74 (c) ₹44 (d) ₹308
  7. 7.If 2x − 2 = 10, what is x? (a) 7 (b) 12 (c) 4 (d) 6
  8. 8.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm
  9. 9.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 270 min (c) 33 min (d) 3 min
  10. 10.2/4 + 6/8 = ? (a) 11/8 (b) 5/4 (c) 2/3 (d) 9/8
  11. 11.If 7x + 10 = 6x + 11, what is x? (a) 21 (b) 2 (c) 3 (d) 1
  12. 12.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 2 (b) 62 (c) 29 (d) 1
  13. 13.Every pair follows the same rule: 5 : 9, 6 : 11, 9 : 17. What is 7 : ? (a) 11 (b) 13 (c) 14 (d) 12
  14. 14.Every pair follows the same rule: 2 : 9, 3 : 14, 9 : 86. What is 6 : ? (a) 50 (b) 13 (c) 42 (d) 41
  15. 15.If 15 July is a Monday, what day of the week is 30 July? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  16. 16.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 84 cm (c) 14 cm (d) 8 cm
  17. 17.What is the value of the digit 1 in 81.362? (a) 0.01 (b) 10 (c) 0.1 (d) 1
  18. 18.If 8x + 23 = 103, what is x? (a) 9 (b) 11 (c) 80 (d) 10
  19. 19.If 4 March is a Sunday, what day of the week is 12 March? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 49 sq cm (d) 14 sq cm
  21. 21.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 12 (c) 24 (d) 13
  22. 22.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
  23. 23.If 10 December is a Wednesday, what day of the week is 23 December? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  24. 24.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  25. 25.Which fraction is greater: 9/11 or 4/9? (a) 4/9 (b) They are equal (c) 9/11
  26. 26.Every pair follows the same rule: 2 : 1, 5 : 22, 7 : 46. What is 9 : ? (a) 70 (b) 79 (c) 77 (d) 78
  27. 27.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 90 (b) 30 (c) 21 (d) 60
  28. 28.What is the average of 60, 70, 46, 53 and 76? (a) 63 (b) 62 (c) 60 (d) 61
  29. 29.9.91 + 9.8 = ? (a) 19.61 (b) 19.71 (c) 10.89 (d) 19.81
  30. 30.What is the value of the digit 8 in 25.318? (a) 8 (b) 0.008 (c) 0.8 (d) 0.08
  31. 31.If 13 March is a Wednesday, what day of the week is 27 March? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  32. 32.2.88 + 5.8 = ? (a) 3.46 (b) 8.78 (c) 8.58 (d) 8.68
  33. 33.If 5x + 9 = 3x + 17, what is x? (a) 5 (b) 1 (c) 4 (d) 13
  34. 34.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 102 sq cm (d) 85 sq cm
  35. 35.What is the value of the digit 1 in 31.859? (a) 0.01 (b) 0.1 (c) 10 (d) 1
  36. 36.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 100 sq cm (b) 24 sq cm (c) 48 sq cm (d) 80 sq cm
  37. 37.A shopkeeper buys a toy for ₹780 and sells it for ₹585. What is his loss percent? (a) 30% (b) 25% (c) 26% (d) 20%
  38. 38.If 11 May is a Tuesday, what day of the week is 25 May? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  39. 39.If 8x + 14 = 110, what is x? (a) 13 (b) 96 (c) 11 (d) 12
  40. 40.7.78 + 7.1 = ? (a) 8.49 (b) 14.88 (c) 14.78 (d) 14.98

Answer key

  1. 2
  2. 50
  3. 7
  4. 64 sq cm
  5. 1
  6. ₹44
  7. 6
  8. 7 cm
  9. 90 min
  10. 5/4
  11. 1
  12. 1
  13. 13
  14. 41
  15. Tuesday
  16. 7 cm
  17. 1
  18. 10
  19. Monday
  20. 49 sq cm
  21. 12
  22. 40%
  23. Tuesday
  24. 40%
  25. 9/11
  26. 78
  27. 30
  28. 61
  29. 19.71
  30. 0.008
  31. Wednesday
  32. 8.68
  33. 4
  34. 85 sq cm
  35. 1
  36. 80 sq cm
  37. 25%
  38. Tuesday
  39. 12
  40. 14.88

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