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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 573 · 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.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  2. 2.1.73 + 6.2 = ? (a) 2.35 (b) 7.93 (c) 8.03 (d) 7.83
  3. 3.What is the average of 42, 31, 32 and 47? (a) 37 (b) 39 (c) 40 (d) 38
  4. 4.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 55 (c) 27 (d) 23
  5. 5.A teacher has 32 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 8 (c) 4 (d) 32
  6. 6.If 19 September is a Tuesday, what day of the week is 5 October? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  7. 7.If 6x + 16 = 40, what is x? (a) 5 (b) 24 (c) 4 (d) 3
  8. 8.If 11 October is a Friday, what day of the week is 8 November? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  9. 9.8.14 + 7.4 = ? (a) 8.88 (b) 15.64 (c) 15.44 (d) 15.54
  10. 10.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 24 cm (c) 22 cm (d) 26 cm
  11. 11.What is the units digit of 7^24? (a) 7 (b) 3 (c) 9 (d) 1
  12. 12.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 18 days (b) 5 days (c) 4 days (d) 3 days
  13. 13.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) 35 (c) 25 (d) 40
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  15. 15.The simple interest on ₹1500 for 3 years is ₹180. What is the rate per year? (a) 5% (b) 3% (c) 4% (d) 12%
  16. 16.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 4 cm (c) 21 cm (d) 8 cm
  17. 17.If 3 mangoes cost ₹12, how much do 6 mangoes cost? (a) ₹28 (b) ₹15 (c) ₹24 (d) ₹72
  18. 18.7/9 + 1/2 = ? (a) 4/3 (b) 11/9 (c) 23/18 (d) 8/11
  19. 19.Every pair follows the same rule: 3 : 20, 4 : 21, 9 : 26. What is 2 : ? (a) 20 (b) 21 (c) 19 (d) 18
  20. 20.The simple interest on ₹1000 for 4 years is ₹480. What is the rate per year? (a) 12% (b) 48% (c) 11% (d) 13%
  21. 21.The simple interest on ₹5500 for 2 years is ₹660. What is the rate per year? (a) 7% (b) 12% (c) 6% (d) 5%
  22. 22.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 22 (b) 56 (c) 112 (d) 57
  23. 23.A teacher has 35 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 14 (c) 1 (d) 7
  24. 24.What is the remainder when 210 is divided by 12? (a) 6 (b) 8 (c) 7 (d) 5
  25. 25.Every pair follows the same rule: 3 : 12, 4 : 19, 6 : 39. What is 8 : ? (a) 17 (b) 32 (c) 59 (d) 67
  26. 26.1/4 + 5/8 = ? (a) 3/4 (b) 1 (c) 7/8 (d) 1/2
  27. 27.What is the value of the digit 1 in 71.423? (a) 1 (b) 0.01 (c) 10 (d) 0.1
  28. 28.A teacher has 44 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 55 (c) 1 (d) 44
  29. 29.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 38 cm (d) 140 cm
  30. 30.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 12 (b) 40 (c) 31 (d) 21
  31. 31.If 13 March is a Friday, what day of the week is 25 March? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  32. 32.What is 40% of 400? (a) 320 (b) 240 (c) 1600 (d) 160
  33. 33.What is the simple interest on ₹5000 at 3% per year for 3 years? (a) ₹600 (b) ₹150 (c) ₹5450 (d) ₹450
  34. 34.What is 15% of 80? (a) 120 (b) 24 (c) 68 (d) 12
  35. 35.What is the remainder when 248 is divided by 5? (a) 4 (b) 3 (c) 2 (d) 1
  36. 36.What is the value of the digit 3 in 14.239? (a) 0.3 (b) 3 (c) 0.003 (d) 0.03
  37. 37.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 1 : ? (a) 4 (b) 2 (c) 7 (d) 1
  38. 38.What is the smallest number you must add to 269 to make it divisible by 9? (a) 1 (b) 8 (c) 3 (d) 2
  39. 39.Which fraction is greater: 1/4 or 1/3? (a) 1/3 (b) They are equal (c) 1/4
  40. 40.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 13% (b) 6% (c) 10% (d) 5%

Answer key

  1. 25%
  2. 7.93
  3. 38
  4. 23
  5. 8
  6. Thursday
  7. 4
  8. Friday
  9. 15.54
  10. 26 cm
  11. 1
  12. 4 days
  13. 40
  14. 36 sq cm
  15. 4%
  16. 4 cm
  17. ₹24
  18. 23/18
  19. 19
  20. 12%
  21. 6%
  22. 56
  23. 7
  24. 6
  25. 67
  26. 7/8
  27. 1
  28. 11
  29. 48 cm
  30. 31
  31. Wednesday
  32. 160
  33. ₹450
  34. 12
  35. 3
  36. 0.03
  37. 1
  38. 1
  39. 1/3
  40. 5%

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