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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 626 · 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.Which of these numbers is divisible by 9? (a) 1320 (b) 1323 (c) 1325 (d) 1337
  2. 2.4/6 + 6/8 = ? (a) 17/12 (b) 35/24 (c) 11/8 (d) 5/7
  3. 3.Which fraction is greater: 8/11 or 1/3? (a) 1/3 (b) They are equal (c) 8/11
  4. 4.What is the smallest number you must add to 271 to make it divisible by 4? (a) 1 (b) 3 (c) 2
  5. 5.What is the simple interest on ₹9000 at 8% per year for 2 years? (a) ₹10440 (b) ₹720 (c) ₹2160 (d) ₹1440
  6. 6.A shopkeeper buys a toy for ₹820 and sells it for ₹902. What is his profit percent? (a) 5% (b) 10% (c) 82% (d) 15%
  7. 7.Which fraction is greater: 1/8 or 2/3? (a) 1/8 (b) 2/3 (c) They are equal
  8. 8.If x/5 + 13 = 16, what is x? (a) 67 (b) 15 (c) 3 (d) 145
  9. 9.Which fraction is greater: 2/9 or 3/8? (a) 2/9 (b) 3/8 (c) They are equal
  10. 10.In how many years will ₹2500 earn ₹875 simple interest at 7% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
  11. 11.Which of these numbers is divisible by 11? (a) 1295 (b) 1276 (c) 1278 (d) 1275
  12. 12.5.86 + 9.8 = ? (a) 15.76 (b) 6.84 (c) 15.66 (d) 15.56
  13. 13.In how many years will ₹1500 earn ₹180 simple interest at 4% per year? (a) 6 years (b) 4 years (c) 3 years (d) 2 years
  14. 14.If 7 notebooks cost ₹70, how much do 8 notebooks cost? (a) ₹71 (b) ₹560 (c) ₹80 (d) ₹90
  15. 15.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 22 sq cm (c) 11 sq cm (d) 27 sq cm
  16. 16.Which of these numbers is divisible by 3? (a) 2326 (b) 2320 (c) 2322 (d) 2324
  17. 17.What is the simple interest on ₹5000 at 7% per year for 5 years? (a) ₹1750 (b) ₹2100 (c) ₹350 (d) ₹6750
  18. 18.What is the value of the digit 3 in 13.425? (a) 0.3 (b) 0.03 (c) 30 (d) 3
  19. 19.If 15 July is a Thursday, what day of the week is 30 July? (a) Friday (b) Sunday (c) Saturday (d) Thursday
  20. 20.If 6x − 37 = 23, what is x? (a) 60 (b) 9 (c) 10 (d) 11
  21. 21.What is the smallest number you must add to 579 to make it divisible by 12? (a) 8 (b) 9 (c) 3 (d) 10
  22. 22.The simple interest on ₹7000 for 5 years is ₹1400. What is the rate per year? (a) 4% (b) 20% (c) 5% (d) 3%
  23. 23.If 8x + 20 = 52, what is x? (a) 9 (b) 32 (c) 4 (d) 5
  24. 24.Which fraction is greater: 5/9 or 1/4? (a) 1/4 (b) 5/9 (c) They are equal
  25. 25.What is the simple interest on ₹1000 at 6% per year for 3 years? (a) ₹1180 (b) ₹180 (c) ₹240 (d) ₹60
  26. 26.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 9 days (c) 13 days (d) 14 days
  27. 27.Which of these numbers is divisible by 4? (a) 257 (b) 255 (c) 256 (d) 263
  28. 28.What is 5% of 580? (a) 58 (b) 29 (c) 551 (d) 290
  29. 29.If 16 March is a Tuesday, what day of the week is 19 April? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
  30. 30.A teacher has 20 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 4 (d) 20
  31. 31.Every pair follows the same rule: 2 : 6, 4 : 12, 8 : 24. What is 9 : ? (a) 13 (b) 27 (c) 28 (d) 26
  32. 32.Every pair follows the same rule: 5 : 24, 8 : 63, 9 : 80. What is 3 : ? (a) 8 (b) 22 (c) 9 (d) 7
  33. 33.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 13 days (c) 1 day (d) 16 days
  34. 34.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 90 (b) 21 (c) 30 (d) 60
  35. 35.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 40 days (b) 17 days (c) 39 days (d) 9 days
  36. 36.What is the value of the digit 2 in 38.912? (a) 0.2 (b) 2 (c) 0.02 (d) 0.002
  37. 37.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 16 (b) 27 (c) 52 (d) 41
  38. 38.₹396 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹352 (b) ₹44 (c) ₹198 (d) ₹396
  39. 39.If 6x + 13 = 4x + 31, what is x? (a) 22 (b) 9 (c) 11 (d) 10
  40. 40.What is the average of 51, 51, 65, 44 and 74? (a) 57 (b) 59 (c) 58 (d) 56

Answer key

  1. 1323
  2. 17/12
  3. 8/11
  4. 1
  5. ₹1440
  6. 10%
  7. 2/3
  8. 15
  9. 3/8
  10. 5 years
  11. 1276
  12. 15.66
  13. 3 years
  14. ₹80
  15. 18 sq cm
  16. 2322
  17. ₹1750
  18. 3
  19. Friday
  20. 10
  21. 9
  22. 4%
  23. 4
  24. 5/9
  25. ₹180
  26. 14 days
  27. 256
  28. 29
  29. Monday
  30. 4
  31. 27
  32. 8
  33. 1 day
  34. 30
  35. 39 days
  36. 0.002
  37. 41
  38. ₹352
  39. 9
  40. 57

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