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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 257 · 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.₹3000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹180 (b) ₹3090 (c) ₹3270 (d) ₹3180
  2. 2.Two ribbons are 20 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 4 cm (c) 20 cm (d) 2 cm
  3. 3.If 3 pens cost ₹24, how much do 10 pens cost? (a) ₹88 (b) ₹80 (c) ₹240 (d) ₹31
  4. 4.What is the average of all the whole numbers from 37 to 49? (a) 12 (b) 6 (c) 44 (d) 43
  5. 5.What is the units digit of 3^30? (a) 1 (b) 3 (c) 9 (d) 7
  6. 6.The simple interest on ₹2500 for 2 years is ₹350. What is the rate per year? (a) 8% (b) 6% (c) 14% (d) 7%
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  8. 8.If 4 notebooks cost ₹72, how much do 3 notebooks cost? (a) ₹72 (b) ₹71 (c) ₹216 (d) ₹54
  9. 9.If 8x + 7 = 39, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  10. 10.What is the average of all the whole numbers from 38 to 54? (a) 8 (b) 46 (c) 16 (d) 47
  11. 11.Every pair follows the same rule: 2 : 19, 4 : 21, 6 : 23. What is 8 : ? (a) 25 (b) 26 (c) 24 (d) 27
  12. 12.Every pair follows the same rule: 4 : 14, 7 : 47, 8 : 62. What is 5 : ? (a) 17 (b) 15 (c) 24 (d) 23
  13. 13.If 7 notebooks cost ₹35, how much do 3 notebooks cost? (a) ₹105 (b) ₹15 (c) ₹20 (d) ₹31
  14. 14.What is the simple interest on ₹10000 at 10% per year for 3 years? (a) ₹13000 (b) ₹1000 (c) ₹3000 (d) ₹4000
  15. 15.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 42 (b) 62 (c) 92 (d) 56
  16. 16.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  17. 17.What is 4/7 of 70? (a) 30 (b) 10 (c) 40 (d) 50
  18. 18.If 5x + 2 = 2x + 38, what is x? (a) 12 (b) 14 (c) 11 (d) 13
  19. 19.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 126 (b) 27 (c) 84 (d) 42
  20. 20.What is the smallest number you must add to 224 to make it divisible by 11? (a) 4 (b) 6 (c) 8 (d) 7
  21. 21.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 40 (c) 35 (d) 25
  22. 22.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 200 sq cm (c) 58 sq cm (d) 29 sq cm
  23. 23.Which of these numbers is divisible by 3? (a) 2189 (b) 2190 (c) 2195 (d) 2191
  24. 24.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 34 sq cm (c) 51 sq cm (d) 19 sq cm
  25. 25.Every pair follows the same rule: 4 : 14, 6 : 34, 9 : 79. What is 8 : ? (a) 63 (b) 18 (c) 64 (d) 62
  26. 26.If 4x + 8 = 24, what is x? (a) 8 (b) 16 (c) 4 (d) 5
  27. 27.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  28. 28.If 10 October is a Monday, what day of the week is 25 October? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  29. 29.If 3 mangoes cost ₹60, how much do 12 mangoes cost? (a) ₹720 (b) ₹69 (c) ₹240 (d) ₹260
  30. 30.If 1 July is a Saturday, what day of the week is 11 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  31. 31.If x/4 + 5 = 14, what is x? (a) 9 (b) 76 (c) 51 (d) 36
  32. 32.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 2 (b) 8 (c) 7 (d) 9
  33. 33.Every pair follows the same rule: 7 : 48, 8 : 63, 9 : 80. What is 3 : ? (a) 9 (b) 44 (c) 7 (d) 8
  34. 34.If 13 October is a Tuesday, what day of the week is 21 October? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  35. 35.6 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 11 days (c) 17 days (d) 7 days
  36. 36.What is the remainder when 133 is divided by 11? (a) 1 (b) 2 (c) 10 (d) 0
  37. 37.Two ribbons are 25 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) 15 cm (b) 1 cm (c) 5 cm (d) 25 cm
  38. 38.If 2x − 1 = 29, what is x? (a) 16 (b) 14 (c) 15 (d) 30
  39. 39.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 80 min (d) 320 min
  40. 40.If 3x − 5 = 19, what is x? (a) 8 (b) 24 (c) 7 (d) 9

Answer key

  1. ₹3180
  2. 4 cm
  3. ₹80
  4. 43
  5. 9
  6. 7%
  7. 169 sq cm
  8. ₹54
  9. 4
  10. 46
  11. 25
  12. 23
  13. ₹15
  14. ₹3000
  15. 92
  16. 20 sq cm
  17. 40
  18. 12
  19. 42
  20. 7
  21. 40
  22. 180 sq cm
  23. 2190
  24. 34 sq cm
  25. 62
  26. 4
  27. 49 sq cm
  28. Tuesday
  29. ₹240
  30. Tuesday
  31. 36
  32. 8
  33. 8
  34. Wednesday
  35. 28 days
  36. 1
  37. 5 cm
  38. 15
  39. 80 min
  40. 8

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