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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 413 · 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.If 7x + 14 = 112, what is x? (a) 14 (b) 15 (c) 98 (d) 18
  2. 2.8 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 12 days (b) 9 days (c) 7 days (d) 8 days
  3. 3.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 16 min (b) 30 min (c) 2 min (d) 60 min
  4. 4.2/4 + 3/4 = ? (a) 3/2 (b) 5/8 (c) 5/4 (d) 1
  5. 5.If 9 notebooks cost ₹117, how much do 2 notebooks cost? (a) ₹234 (b) ₹110 (c) ₹39 (d) ₹26
  6. 6.Every pair follows the same rule: 2 : 21, 3 : 22, 7 : 26. What is 8 : ? (a) 28 (b) 29 (c) 27 (d) 26
  7. 7.Which fraction is greater: 5/9 or 3/4? (a) 5/9 (b) 3/4 (c) They are equal
  8. 8.Which fraction is greater: 1/6 or 3/5? (a) 1/6 (b) They are equal (c) 3/5
  9. 9.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 3 : ? (a) 28 (b) 3 (c) 26 (d) 27
  10. 10.Which fraction is greater: 5/6 or 2/3? (a) They are equal (b) 2/3 (c) 5/6
  11. 11.If 4 mangoes cost ₹64, how much do 12 mangoes cost? (a) ₹208 (b) ₹192 (c) ₹72 (d) ₹768
  12. 12.Today is Wednesday. What day of the week will it be after 83 days? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  13. 13.Which of these numbers is divisible by 11? (a) 1700 (b) 1723 (c) 1705 (d) 1715
  14. 14.If 6x + 9 = 2x + 41, what is x? (a) 10 (b) 4 (c) 8 (d) 9
  15. 15.Every pair follows the same rule: 4 : 7, 5 : 8, 7 : 10. What is 3 : ? (a) 5 (b) 8 (c) 6 (d) 7
  16. 16.Which of these numbers is divisible by 3? (a) 1191 (b) 1192 (c) 1190 (d) 1195
  17. 17.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 37 (c) 36 (d) 41
  18. 18.What is the remainder when 411 is divided by 10? (a) 0 (b) 9 (c) 1 (d) 2
  19. 19.What is the value of the digit 9 in 83.916? (a) 0.09 (b) 0.009 (c) 0.9 (d) 9
  20. 20.What is 1/6 of 30? (a) 25 (b) 6 (c) 5 (d) 10
  21. 21.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
  22. 22.Today is Monday. What day of the week will it be after 30 days? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
  23. 23.What is the simple interest on ₹7000 at 11% per year for 2 years? (a) ₹8540 (b) ₹770 (c) ₹2310 (d) ₹1540
  24. 24.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 18 min (c) 2 min (d) 28 min
  25. 25.1/3 + 4/5 = ? (a) 5/8 (b) 6/5 (c) 17/15 (d) 16/15
  26. 26.Which of these numbers is divisible by 4? (a) 3374 (b) 3382 (c) 3378 (d) 3376
  27. 27.What is the value of the digit 1 in 12.569? (a) 0.01 (b) 1 (c) 10 (d) 0.1
  28. 28.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 9 cm
  29. 29.₹376 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹141 (b) ₹235 (c) ₹47 (d) ₹188
  30. 30.Every pair follows the same rule: 2 : 1, 3 : 6, 4 : 13. What is 6 : ? (a) 34 (b) 32 (c) 33 (d) 27
  31. 31.1/3 + 4/8 = ? (a) 7/8 (b) 5/6 (c) 5/11 (d) 19/24
  32. 32.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  33. 33.If 5x − 3 = 22, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  34. 34.1/2 + 7/8 = ? (a) 3/2 (b) 4/5 (c) 11/8 (d) 5/4
  35. 35.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 6 : ? (a) 138 (b) 6 (c) 216 (d) 217
  36. 36.A shopkeeper buys a toy for ₹240 and sells it for ₹360. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%
  37. 37.Which fraction is greater: 1/3 or 5/7? (a) 1/3 (b) 5/7 (c) They are equal
  38. 38.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 135 (b) 90 (c) 45 (d) 24
  39. 39.What is the average of 49, 55, 51 and 73? (a) 58 (b) 56 (c) 76 (d) 57
  40. 40.9.96 + 7.1 = ? (a) 10.67 (b) 17.16 (c) 16.96 (d) 17.06

Answer key

  1. 14
  2. 8 days
  3. 30 min
  4. 5/4
  5. ₹26
  6. 27
  7. 3/4
  8. 3/5
  9. 27
  10. 5/6
  11. ₹192
  12. Tuesday
  13. 1705
  14. 8
  15. 6
  16. 1191
  17. 36
  18. 1
  19. 0.9
  20. 5
  21. 2 cm
  22. Wednesday
  23. ₹1540
  24. 28 min
  25. 17/15
  26. 3376
  27. 10
  28. 2 cm
  29. ₹235
  30. 33
  31. 5/6
  32. 121 sq cm
  33. 5
  34. 11/8
  35. 216
  36. 50%
  37. 5/7
  38. 45
  39. 57
  40. 17.06

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