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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 662 · 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.Today is Monday. What day of the week will it be after 13 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  2. 2.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 80 (c) 160 (d) 40
  3. 3.If 6x − 18 = 12, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  4. 4.If 6 March is a Saturday, what day of the week is 21 March? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  5. 5.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  6. 6.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 33 (b) 180 (c) 90 (d) 270
  7. 7.Every pair follows the same rule: 2 : 1, 5 : 22, 7 : 46. What is 3 : ? (a) 8 (b) 7 (c) 5 (d) 6
  8. 8.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 154 cm (d) 12 cm
  9. 9.If 7x + 11 = 25, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  10. 10.If 8x − 15 = 1, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  11. 11.What is the value of the digit 6 in 23.586? (a) 6 (b) 0.006 (c) 0.06 (d) 0.6
  12. 12.What is the average of all the whole numbers from 11 to 45? (a) 28 (b) 17 (c) 29 (d) 34
  13. 13.If 6x − 68 = 16, what is x? (a) 84 (b) 14 (c) 13 (d) 15
  14. 14.What is the simple interest on ₹3500 at 3% per year for 5 years? (a) ₹630 (b) ₹105 (c) ₹4025 (d) ₹525
  15. 15.Every pair follows the same rule: 2 : 2, 7 : 47, 8 : 62. What is 5 : ? (a) 5 (b) 17 (c) 24 (d) 23
  16. 16.What is the smallest number you must add to 62 to make it divisible by 6? (a) 5 (b) 2 (c) 3 (d) 4
  17. 17.What is the smallest number you must add to 208 to make it divisible by 9? (a) 7 (b) 6 (c) 8 (d) 1
  18. 18.₹45 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹45 (b) ₹41 (c) ₹40 (d) ₹5
  19. 19.Which fraction is greater: 11/12 or 3/4? (a) They are equal (b) 11/12 (c) 3/4
  20. 20.A bag marked ₹780 is sold at a 25% discount. What is its selling price? (a) ₹195 (b) ₹585 (c) ₹975 (d) ₹755
  21. 21.3 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 2 days (b) 13 days (c) 3 days (d) 4 days
  22. 22.2.94 + 3.6 = ? (a) 6.44 (b) 6.54 (c) 6.64 (d) 3.3
  23. 23.The simple interest on ₹10000 for 2 years is ₹800. What is the rate per year? (a) 8% (b) 3% (c) 5% (d) 4%
  24. 24.If 31 March is a Sunday, what day of the week is 5 April? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  25. 25.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 35 (b) 100 (c) 250 (d) 50
  26. 26.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 16 (b) 60 (c) 30 (d) 31
  27. 27.If 4x − 7 = 21, what is x? (a) 7 (b) 8 (c) 6 (d) 28
  28. 28.What is 5/9 of 27? (a) 3 (b) 12 (c) 15 (d) 18
  29. 29.What is the value of the digit 1 in 51.936? (a) 1 (b) 0.1 (c) 10 (d) 0.01
  30. 30.Every pair follows the same rule: 2 : 1, 4 : 13, 6 : 33. What is 5 : ? (a) 22 (b) 24 (c) 21 (d) 23
  31. 31.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 15% (b) 5% (c) 98% (d) 10%
  32. 32.The simple interest on ₹8500 for 2 years is ₹1360. What is the rate per year? (a) 16% (b) 8% (c) 9% (d) 7%
  33. 33.Today is Tuesday. What day of the week will it be after 96 days? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  34. 34.If 2 mangoes cost ₹14, how much do 3 mangoes cost? (a) ₹15 (b) ₹28 (c) ₹42 (d) ₹21
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  36. 36.Which fraction is greater: 5/11 or 2/3? (a) They are equal (b) 5/11 (c) 2/3
  37. 37.If 28 September is a Sunday, what day of the week is 11 October? (a) Sunday (b) Monday (c) Saturday (d) Friday
  38. 38.Every pair follows the same rule: 4 : 29, 5 : 34, 6 : 39. What is 2 : ? (a) 20 (b) 18 (c) 19 (d) 27
  39. 39.Which is the greatest: 0.085, 0.754, 0.83, 0.8? (a) 0.085 (b) 0.754 (c) 0.83 (d) 0.8
  40. 40.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 252 min (b) 33 min (c) 84 min (d) 3 min

Answer key

  1. Sunday
  2. 40
  3. 5
  4. Sunday
  5. 169 sq cm
  6. 90
  7. 6
  8. 12 cm
  9. 2
  10. 2
  11. 0.006
  12. 28
  13. 14
  14. ₹525
  15. 23
  16. 4
  17. 8
  18. ₹40
  19. 11/12
  20. ₹585
  21. 3 days
  22. 6.54
  23. 4%
  24. Friday
  25. 50
  26. 30
  27. 7
  28. 15
  29. 1
  30. 22
  31. 10%
  32. 8%
  33. Sunday
  34. ₹21
  35. 64 sq cm
  36. 2/3
  37. Saturday
  38. 19
  39. 0.83
  40. 84 min

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