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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 210 · 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 smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 84 (b) 504 (c) 54 (d) 168
  2. 2.If 8x + 17 = x + 24, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  3. 3.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 41 cm (d) 44 cm
  4. 4.What is 20% of 520? (a) 104 (b) 208 (c) 416 (d) 1040
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  6. 6.If 15 December is a Monday, what day of the week is 29 December? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
  7. 7.What is 1/3 of 12? (a) 4 (b) 8 (c) 5 (d) 3
  8. 8.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 40 (c) 70 (d) 71
  9. 9.Which is the greatest: 0.2, 0.183, 0.21, 0.021? (a) 0.2 (b) 0.183 (c) 0.21 (d) 0.021
  10. 10.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 39 (c) 95 (d) 70
  11. 11.Every pair follows the same rule: 3 : 10, 6 : 22, 7 : 26. What is 9 : ? (a) 16 (b) 34 (c) 35 (d) 33
  12. 12.Today is Saturday. What day of the week will it be after 46 days? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  13. 13.Every pair follows the same rule: 3 : 8, 4 : 9, 9 : 14. What is 7 : ? (a) 14 (b) 11 (c) 12 (d) 13
  14. 14.If 5 March is a Thursday, what day of the week is 19 March? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  15. 15.What is the units digit of 2^26? (a) 8 (b) 4 (c) 2 (d) 6
  16. 16.If 9 kites cost ₹207, how much do 4 kites cost? (a) ₹202 (b) ₹115 (c) ₹828 (d) ₹92
  17. 17.What is the average of all the whole numbers from 58 to 70? (a) 64 (b) 65 (c) 12 (d) 6
  18. 18.What is the remainder when 279 is divided by 4? (a) 3 (b) 1 (c) 0 (d) 2
  19. 19.1/5 + 3/5 = ? (a) 3/5 (b) 2/5 (c) 1 (d) 4/5
  20. 20.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
  21. 21.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 3 days (d) 10 days
  22. 22.If 7x + 15 = 99, what is x? (a) 11 (b) 13 (c) 84 (d) 12
  23. 23.A teacher has 40 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 10 (c) 200 (d) 5
  24. 24.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 217 (b) 216 (c) 174 (d) 6
  25. 25.In how many years will ₹8500 earn ₹2380 simple interest at 7% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
  26. 26.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 5 : ? (a) 140 (b) 45 (c) 29 (d) 125
  27. 27.4 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 6 days (d) 11 days
  28. 28.Which fraction is greater: 9/10 or 1/4? (a) 9/10 (b) 1/4 (c) They are equal
  29. 29.In how many years will ₹2500 earn ₹200 simple interest at 2% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  30. 30.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 50 cm (c) 40 cm (d) 25 cm
  31. 31.Which of these numbers is divisible by 6? (a) 3852 (b) 3850 (c) 3863 (d) 3854
  32. 32.1.22 + 6.3 = ? (a) 7.42 (b) 7.62 (c) 1.85 (d) 7.52
  33. 33.8.06 + 8.6 = ? (a) 16.66 (b) 16.56 (c) 16.76 (d) 8.92
  34. 34.If 21 April is a Friday, what day of the week is 3 May? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  35. 35.Every pair follows the same rule: 3 : 15, 7 : 31, 8 : 35. What is 9 : ? (a) 21 (b) 40 (c) 45 (d) 39
  36. 36.What is 10% of 360? (a) 360 (b) 324 (c) 36 (d) 72
  37. 37.Every pair follows the same rule: 2 : 6, 5 : 15, 6 : 18. What is 4 : ? (a) 11 (b) 8 (c) 13 (d) 12
  38. 38.What is the remainder when 333 is divided by 12? (a) 3 (b) 9 (c) 10 (d) 8
  39. 39.Two ribbons are 24 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 16 cm (c) 24 cm (d) 4 cm
  40. 40.If 8x + 15 = 111, what is x? (a) 96 (b) 12 (c) 11 (d) 13

Answer key

  1. 84
  2. 1
  3. 44 cm
  4. 104
  5. 225 sq cm
  6. Monday
  7. 4
  8. 70
  9. 0.21
  10. 95
  11. 34
  12. Wednesday
  13. 12
  14. Thursday
  15. 4
  16. ₹92
  17. 64
  18. 3
  19. 4/5
  20. 30%
  21. 9 days
  22. 12
  23. 10
  24. 216
  25. 4 years
  26. 125
  27. 6 days
  28. 9/10
  29. 4 years
  30. 50 cm
  31. 3852
  32. 7.52
  33. 16.66
  34. Wednesday
  35. 39
  36. 36
  37. 12
  38. 9
  39. 8 cm
  40. 12

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