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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 263 · 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.What is the average of all the whole numbers from 40 to 68? (a) 55 (b) 28 (c) 14 (d) 54
  2. 2.A shopkeeper buys a toy for ₹440 and sells it for ₹616. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  3. 3.What is 1/2 of 4? (a) 1 (b) 4 (c) 3 (d) 2
  4. 4.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 126 (b) 63 (c) 30 (d) 189
  5. 5.If 3x + 26 = 71, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  6. 6.What is the simple interest on ₹5000 at 7% per year for 3 years? (a) ₹1400 (b) ₹6050 (c) ₹1050 (d) ₹350
  7. 7.₹9000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹9810 (b) ₹11430 (c) ₹10620 (d) ₹1620
  8. 8.What is the value of the digit 3 in 54.132? (a) 0.3 (b) 0.003 (c) 3 (d) 0.03
  9. 9.9 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 9 days (d) 10 days
  10. 10.Which fraction is greater: 3/5 or 9/10? (a) 3/5 (b) They are equal (c) 9/10
  11. 11.Every pair follows the same rule: 4 : 14, 5 : 23, 7 : 47. What is 2 : ? (a) 1 (b) 2 (c) 12 (d) 3
  12. 12.What is the average of all the whole numbers from 21 to 29? (a) 26 (b) 4 (c) 25 (d) 8
  13. 13.If 2x + 15 = 35, what is x? (a) 20 (b) 25 (c) 10 (d) 11
  14. 14.What is the units digit of 2^28? (a) 4 (b) 8 (c) 6 (d) 2
  15. 15.Every pair follows the same rule: 2 : 8, 7 : 13, 9 : 15. What is 3 : ? (a) 12 (b) 8 (c) 9 (d) 10
  16. 16.Every pair follows the same rule: 3 : 27, 4 : 36, 5 : 45. What is 2 : ? (a) 26 (b) 17 (c) 18 (d) 19
  17. 17.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 300 min (c) 35 min (d) 60 min
  18. 18.What is 1/4 of 44? (a) 33 (b) 12 (c) 11 (d) 22
  19. 19.What is the simple interest on ₹4000 at 6% per year for 4 years? (a) ₹240 (b) ₹4960 (c) ₹960 (d) ₹1200
  20. 20.What is 50% of 240? (a) 240 (b) 121 (c) 1200 (d) 120
  21. 21.What is the average of 70, 71, 67 and 100? (a) 77 (b) 78 (c) 76 (d) 79
  22. 22.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 4 : ? (a) 16 (b) 10 (c) 64 (d) 34
  23. 23.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 5 cm (c) 76 cm (d) 6 cm
  24. 24.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 250 (b) 35 (c) 50 (d) 100
  25. 25.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
  26. 26.1/2 + 2/7 = ? (a) 11/14 (b) 1/3 (c) 6/7 (d) 5/7
  27. 27.If x/5 + 11 = 14, what is x? (a) 15 (b) 59 (c) 125 (d) 3
  28. 28.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 45 min (c) 135 min (d) 3 min
  29. 29.What is the average of all the whole numbers from 26 to 60? (a) 43 (b) 17 (c) 44 (d) 34
  30. 30.If 26 June is a Monday, what day of the week is 17 July? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  31. 31.What is the smallest number you must add to 235 to make it divisible by 8? (a) 5 (b) 4 (c) 6 (d) 3
  32. 32.If 6 pens cost ₹84, how much do 7 pens cost? (a) ₹85 (b) ₹98 (c) ₹588 (d) ₹112
  33. 33.What is the smallest number you must add to 328 to make it divisible by 5? (a) 2 (b) 3 (c) 1 (d) 4
  34. 34.Every pair follows the same rule: 4 : 17, 7 : 23, 9 : 27. What is 3 : ? (a) 14 (b) 16 (c) 17 (d) 15
  35. 35.A shopkeeper buys a toy for ₹880 and sells it for ₹924. What is his profit percent? (a) 10% (b) 6% (c) 44% (d) 5%
  36. 36.If 2x + 2 = 10, what is x? (a) 8 (b) 6 (c) 4 (d) 5
  37. 37.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 48 (b) 22 (c) 7 (d) 6
  38. 38.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 70 (b) 140 (c) 350 (d) 45
  39. 39.If 3 May is a Sunday, what day of the week is 19 May? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  40. 40.7 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) 14 days (d) 13 days

Answer key

  1. 54
  2. 40%
  3. 2
  4. 63
  5. 15
  6. ₹1050
  7. ₹10620
  8. 0.03
  9. 9 days
  10. 9/10
  11. 2
  12. 25
  13. 10
  14. 6
  15. 9
  16. 18
  17. 60 min
  18. 11
  19. ₹960
  20. 120
  21. 77
  22. 64
  23. 5 cm
  24. 50
  25. 22 cm
  26. 11/14
  27. 15
  28. 45 min
  29. 43
  30. Monday
  31. 5
  32. ₹98
  33. 2
  34. 15
  35. 5%
  36. 4
  37. 6
  38. 70
  39. Tuesday
  40. 14 days

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