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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 238 · 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.What is the value of the digit 9 in 64.893? (a) 9 (b) 0.9 (c) 0.09 (d) 0.009
  2. 2.If x/2 + 14 = 16, what is x? (a) 2 (b) 60 (c) 18 (d) 4
  3. 3.₹88 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹11 (b) ₹33 (c) ₹44 (d) ₹55
  4. 4.₹7500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹1500 (b) ₹7800 (c) ₹9300 (d) ₹9000
  5. 5.What is 3/5 of 20? (a) 4 (b) 16 (c) 12 (d) 8
  6. 6.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
  7. 7.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 72 (b) 54 (c) 20 (d) 56
  8. 8.2/6 + 1/4 = ? (a) 1/2 (b) 3/10 (c) 7/12 (d) 2/3
  9. 9.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 60 sq cm (c) 19 sq cm (d) 38 sq cm
  10. 10.In how many years will ₹8000 earn ₹1680 simple interest at 7% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
  11. 11.Every pair follows the same rule: 2 : 4, 6 : 36, 8 : 64. What is 4 : ? (a) 6 (b) 16 (c) 17 (d) 8
  12. 12.Today is Saturday. What day of the week will it be after 100 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  13. 13.If 3x + 7 = x + 9, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  14. 14.Which of these numbers is divisible by 6? (a) 2945 (b) 2946 (c) 2957 (d) 2949
  15. 15.What is the remainder when 246 is divided by 7? (a) 1 (b) 6 (c) 2 (d) 0
  16. 16.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 140 (b) 48 (c) 560 (d) 280
  17. 17.If 7 mangoes cost ₹168, how much do 4 mangoes cost? (a) ₹96 (b) ₹165 (c) ₹120 (d) ₹672
  18. 18.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 36 (b) 78 (c) 50 (d) 46
  19. 19.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 105 (b) 36 (c) 210 (d) 315
  20. 20.What is the remainder when 445 is divided by 8? (a) 3 (b) 4 (c) 5 (d) 6
  21. 21.Every pair follows the same rule: 2 : 3, 3 : 8, 4 : 15. What is 8 : ? (a) 43 (b) 9 (c) 64 (d) 63
  22. 22.If 8x + 25 = 105, what is x? (a) 80 (b) 11 (c) 9 (d) 10
  23. 23.Today is Friday. What day of the week will it be after 30 days? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  24. 24.Which of these numbers is divisible by 4? (a) 308 (b) 311 (c) 306 (d) 313
  25. 25.Two ribbons are 35 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 1 cm (c) 35 cm (d) 10 cm
  26. 26.What is the remainder when 152 is divided by 5? (a) 4 (b) 3 (c) 2 (d) 1
  27. 27.The simple interest on ₹1000 for 5 years is ₹250. What is the rate per year? (a) 25% (b) 6% (c) 5% (d) 4%
  28. 28.Which is the greatest: 0.52, 0.022, 0.442, 0.5? (a) 0.52 (b) 0.022 (c) 0.442 (d) 0.5
  29. 29.A shopkeeper buys a toy for ₹180 and sells it for ₹144. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 36%
  30. 30.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 2 days (c) 8 days (d) 6 days
  31. 31.What is the units digit of 7^10? (a) 3 (b) 7 (c) 1 (d) 9
  32. 32.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 28 sq cm (d) 45 sq cm
  33. 33.A teacher has 50 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 50 (c) 30 (d) 5
  34. 34.Every pair follows the same rule: 2 : 19, 5 : 22, 9 : 26. What is 8 : ? (a) 24 (b) 26 (c) 27 (d) 25
  35. 35.What is the remainder when 141 is divided by 11? (a) 2 (b) 10 (c) 9 (d) 8
  36. 36.The simple interest on ₹1500 for 4 years is ₹480. What is the rate per year? (a) 8% (b) 9% (c) 32% (d) 7%
  37. 37.If x/5 + 14 = 25, what is x? (a) 55 (b) 11 (c) 111 (d) 195
  38. 38.If 8x + 6 = 6x + 16, what is x? (a) 6 (b) 11 (c) 5 (d) 7
  39. 39.If 5 January is a Monday, what day of the week is 21 January? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  40. 40.₹310 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹31 (b) ₹155 (c) ₹279 (d) ₹310

Answer key

  1. 0.09
  2. 4
  3. ₹55
  4. ₹9000
  5. 12
  6. 50%
  7. 72
  8. 7/12
  9. 60 sq cm
  10. 3 years
  11. 16
  12. Monday
  13. 1
  14. 2946
  15. 1
  16. 140
  17. ₹96
  18. 78
  19. 105
  20. 5
  21. 63
  22. 10
  23. Sunday
  24. 308
  25. 5 cm
  26. 2
  27. 5%
  28. 0.52
  29. 20%
  30. 8 days
  31. 9
  32. 45 sq cm
  33. 10
  34. 25
  35. 9
  36. 8%
  37. 55
  38. 5
  39. Wednesday
  40. ₹279

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