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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 190 · 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.If 14 July is a Thursday, what day of the week is 26 July? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  2. 2.Which of these numbers is divisible by 11? (a) 3938 (b) 3948 (c) 3931 (d) 3951
  3. 3.Two ribbons are 49 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 392 cm (c) 7 cm (d) 49 cm
  4. 4.If 9x − 43 = 47, what is x? (a) 90 (b) 11 (c) 9 (d) 10
  5. 5.If 10 January is a Tuesday, what day of the week is 18 January? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  6. 6.Today is Thursday. What day of the week will it be after 73 days? (a) Tuesday (b) Monday (c) Sunday (d) Saturday
  7. 7.If 4x + 22 = 34, what is x? (a) 14 (b) 12 (c) 4 (d) 3
  8. 8.₹240 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹120 (b) ₹100 (c) ₹20 (d) ₹140
  9. 9.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 81 sq cm (c) 16 sq cm (d) 32 sq cm
  10. 10.What is the average of 55, 45, 58, 59 and 33? (a) 50 (b) 52 (c) 49 (d) 51
  11. 11.A teacher has 28 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 28 (d) 140
  12. 12.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 24 (b) 12 (c) 186 (d) 216
  13. 13.What is the smallest number you must add to 228 to make it divisible by 7? (a) 2 (b) 4 (c) 3 (d) 5
  14. 14.If x/5 + 14 = 18, what is x? (a) 4 (b) 76 (c) 20 (d) 160
  15. 15.In how many years will ₹1000 earn ₹240 simple interest at 8% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
  16. 16.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 57 (b) 51 (c) 10 (d) 49
  17. 17.If x/3 + 15 = 25, what is x? (a) 60 (b) 10 (c) 120 (d) 30
  18. 18.Which is the greatest: 0.36, 0.287, 0.079, 0.3? (a) 0.36 (b) 0.287 (c) 0.079 (d) 0.3
  19. 19.A teacher has 20 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 20 (c) 25 (d) 5
  20. 20.Which fraction is greater: 1/3 or 3/8? (a) 3/8 (b) They are equal (c) 1/3
  21. 21.What is the simple interest on ₹9500 at 8% per year for 2 years? (a) ₹2280 (b) ₹760 (c) ₹1520 (d) ₹11020
  22. 22.In how many years will ₹7500 earn ₹1125 simple interest at 5% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
  23. 23.A bag marked ₹440 is sold at a 10% discount. What is its selling price? (a) ₹44 (b) ₹430 (c) ₹484 (d) ₹396
  24. 24.Every pair follows the same rule: 2 : 9, 5 : 15, 7 : 19. What is 8 : ? (a) 20 (b) 21 (c) 15 (d) 22
  25. 25.Which of these numbers is divisible by 9? (a) 4248 (b) 4245 (c) 4263 (d) 4249
  26. 26.A shopkeeper buys a toy for ₹720 and sells it for ₹756. What is his profit percent? (a) 36% (b) 5% (c) 6% (d) 10%
  27. 27.Today is Sunday. What day of the week will it be after 43 days? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  28. 28.9.78 + 9.3 = ? (a) 19.18 (b) 18.98 (c) 19.08 (d) 10.71
  29. 29.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 40 sq cm (d) 60 sq cm
  30. 30.If 18 April is a Monday, what day of the week is 8 May? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
  31. 31.If 6 August is a Thursday, what day of the week is 19 August? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  32. 32.A teacher has 15 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 1 (c) 20 (d) 5
  33. 33.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 19 sq cm (d) 78 sq cm
  34. 34.What is 5/7 of 70? (a) 20 (b) 10 (c) 60 (d) 50
  35. 35.If 2 mangoes cost ₹10, how much do 12 mangoes cost? (a) ₹60 (b) ₹20 (c) ₹65 (d) ₹120
  36. 36.What is the value of the digit 1 in 13.769? (a) 0.01 (b) 1 (c) 0.1 (d) 10
  37. 37.What is the value of the digit 9 in 19.586? (a) 9 (b) 90 (c) 0.09 (d) 0.9
  38. 38.Every pair follows the same rule: 2 : 12, 5 : 27, 8 : 42. What is 6 : ? (a) 16 (b) 32 (c) 36 (d) 33
  39. 39.If 5 notebooks cost ₹40, how much do 2 notebooks cost? (a) ₹37 (b) ₹16 (c) ₹24 (d) ₹80
  40. 40.What is the average of 53, 66, 74, 58, 82 and 69? (a) 67 (b) 69 (c) 66 (d) 68

Answer key

  1. Tuesday
  2. 3938
  3. 7 cm
  4. 10
  5. Wednesday
  6. Sunday
  7. 3
  8. ₹140
  9. 64 sq cm
  10. 50
  11. 7
  12. 216
  13. 3
  14. 20
  15. 3 years
  16. 57
  17. 30
  18. 0.36
  19. 5
  20. 3/8
  21. ₹1520
  22. 3 years
  23. ₹396
  24. 21
  25. 4248
  26. 5%
  27. Monday
  28. 19.08
  29. 40 sq cm
  30. Sunday
  31. Wednesday
  32. 5
  33. 78 sq cm
  34. 50
  35. ₹60
  36. 10
  37. 9
  38. 32
  39. ₹16
  40. 67

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