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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 825 · 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 36 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 36 (c) 144 (d) 12
  2. 2.If 4x + 13 = x + 19, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  3. 3.What is the smallest number you must add to 122 to make it divisible by 4? (a) 1 (b) 3 (c) 2
  4. 4.What is the average of 23, 27, 24, 48, 33 and 49? (a) 35 (b) 36 (c) 33 (d) 34
  5. 5.If 4x + 6 = 38, what is x? (a) 9 (b) 8 (c) 32 (d) 11
  6. 6.7 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 5 days (c) 36 days (d) 35 days
  7. 7.What is the units digit of 8^39? (a) 4 (b) 6 (c) 2 (d) 8
  8. 8.What is 1/2 of 20? (a) 9 (b) 20 (c) 11 (d) 10
  9. 9.Every pair follows the same rule: 5 : 30, 8 : 48, 9 : 54. What is 6 : ? (a) 35 (b) 37 (c) 31 (d) 36
  10. 10.What is the units digit of 7^21? (a) 1 (b) 7 (c) 9 (d) 3
  11. 11.A teacher has 32 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 32 (c) 8 (d) 40
  12. 12.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  13. 13.6.33 + 1.8 = ? (a) 6.51 (b) 8.23 (c) 8.13 (d) 8.03
  14. 14.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 4 : ? (a) 10 (b) 64 (c) 34 (d) 16
  15. 15.Which is the smallest: 0.525, 0.058, 0.6, 0.62? (a) 0.525 (b) 0.058 (c) 0.6 (d) 0.62
  16. 16.If 19 June is a Monday, what day of the week is 18 July? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  17. 17.Every pair follows the same rule: 3 : 13, 5 : 29, 8 : 68. What is 9 : ? (a) 85 (b) 81 (c) 86 (d) 19
  18. 18.Every pair follows the same rule: 3 : 21, 5 : 35, 8 : 56. What is 9 : ? (a) 63 (b) 62 (c) 27 (d) 64
  19. 19.9.91 + 2.6 = ? (a) 10.17 (b) 12.41 (c) 12.61 (d) 12.51
  20. 20.In how many years will ₹3000 earn ₹720 simple interest at 8% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
  21. 21.9.07 + 7.3 = ? (a) 9.8 (b) 16.27 (c) 16.37 (d) 16.47
  22. 22.A teacher has 30 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 30 (c) 5 (d) 10
  23. 23.What is the average of 32, 26, 13 and 13? (a) 22 (b) 20 (c) 28 (d) 21
  24. 24.If 2x − 4 = 6, what is x? (a) 1 (b) 6 (c) 10 (d) 5
  25. 25.Every pair follows the same rule: 4 : 18, 7 : 21, 9 : 23. What is 3 : ? (a) 19 (b) 16 (c) 17 (d) 18
  26. 26.Every pair follows the same rule: 2 : 11, 5 : 32, 7 : 56. What is 8 : ? (a) 72 (b) 71 (c) 68 (d) 17
  27. 27.Every pair follows the same rule: 3 : 17, 7 : 29, 8 : 32. What is 4 : ? (a) 19 (b) 18 (c) 20 (d) 21
  28. 28.If 19 July is a Thursday, what day of the week is 4 August? (a) Sunday (b) Saturday (c) Friday (d) Monday
  29. 29.Which fraction is greater: 5/9 or 3/8? (a) 5/9 (b) They are equal (c) 3/8
  30. 30.If 8 mangoes cost ₹176, how much do 3 mangoes cost? (a) ₹171 (b) ₹66 (c) ₹528 (d) ₹88
  31. 31.If 9 notebooks cost ₹207, how much do 5 notebooks cost? (a) ₹203 (b) ₹138 (c) ₹1035 (d) ₹115
  32. 32.What is 1/7 of 21? (a) 6 (b) 3 (c) 18 (d) 4
  33. 33.If 13 January is a Tuesday, what day of the week is 25 January? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  34. 34.4 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 10 days (d) 16 days
  35. 35.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 55 sq cm (c) 30 sq cm (d) 15 sq cm
  36. 36.What is the average of 17, 11, 27, 11 and 44? (a) 24 (b) 22 (c) 21 (d) 23
  37. 37.Every pair follows the same rule: 2 : 15, 5 : 30, 6 : 35. What is 4 : ? (a) 24 (b) 17 (c) 26 (d) 25
  38. 38.What is 25% of 300? (a) 750 (b) 225 (c) 150 (d) 75
  39. 39.A shopkeeper buys a toy for ₹620 and sells it for ₹496. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
  40. 40.What is 40% of 760? (a) 456 (b) 3040 (c) 608 (d) 304

Answer key

  1. 12
  2. 2
  3. 2
  4. 34
  5. 8
  6. 35 days
  7. 2
  8. 10
  9. 36
  10. 7
  11. 8
  12. 30%
  13. 8.13
  14. 64
  15. 0.058
  16. Tuesday
  17. 85
  18. 63
  19. 12.51
  20. 3 years
  21. 16.37
  22. 10
  23. 21
  24. 5
  25. 17
  26. 71
  27. 20
  28. Saturday
  29. 5/9
  30. ₹66
  31. ₹115
  32. 3
  33. Sunday
  34. 16 days
  35. 44 sq cm
  36. 22
  37. 25
  38. 75
  39. 20%
  40. 304

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