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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 184 · 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 remainder when 58 is divided by 3? (a) 2 (b) 0 (c) 1
  2. 2.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 41 (c) 31 (d) 12
  3. 3.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 15 min (b) 18 min (c) 3 min (d) 54 min
  4. 4.What is the value of the digit 6 in 63.572? (a) 0.06 (b) 6 (c) 60 (d) 0.6
  5. 5.The simple interest on ₹4500 for 3 years is ₹270. What is the rate per year? (a) 6% (b) 3% (c) 2% (d) 1%
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
  7. 7.What is the value of the digit 2 in 86.215? (a) 0.2 (b) 0.02 (c) 2 (d) 0.002
  8. 8.What is the value of the digit 2 in 95.421? (a) 0.002 (b) 0.2 (c) 2 (d) 0.02
  9. 9.₹7500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹7800 (b) ₹1500 (c) ₹9000 (d) ₹9300
  10. 10.Which is the smallest: 0.454, 0.51, 0.5, 0.012? (a) 0.454 (b) 0.51 (c) 0.5 (d) 0.012
  11. 11.4 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 3 days (c) 7 days (d) 11 days
  12. 12.A shopkeeper buys a toy for ₹880 and sells it for ₹1012. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
  13. 13.Every pair follows the same rule: 2 : 15, 3 : 16, 5 : 18. What is 4 : ? (a) 19 (b) 18 (c) 17 (d) 16
  14. 14.If 6x − 36 = 30, what is x? (a) 12 (b) 10 (c) 66 (d) 11
  15. 15.Which is the greatest: 0.3, 0.052, 0.37, 0.277? (a) 0.3 (b) 0.052 (c) 0.37 (d) 0.277
  16. 16.What is 1/6 of 12? (a) 2 (b) 3 (c) 4 (d) 10
  17. 17.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 15% (b) 92% (c) 5% (d) 10%
  18. 18.If 8x + 11 = 99, what is x? (a) 11 (b) 12 (c) 88 (d) 10
  19. 19.1/8 + 4/8 = ? (a) 5/16 (b) 5/8 (c) 3/4 (d) 1/2
  20. 20.If 8x + 27 = 123, what is x? (a) 12 (b) 13 (c) 11 (d) 96
  21. 21.What is the average of all the whole numbers from 49 to 75? (a) 13 (b) 62 (c) 63 (d) 26
  22. 22.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 12 cm (d) 8 cm
  23. 23.7.96 + 3.8 = ? (a) 11.66 (b) 8.34 (c) 11.76 (d) 11.86
  24. 24.What is the average of all the whole numbers from 30 to 54? (a) 24 (b) 42 (c) 12 (d) 43
  25. 25.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 30 sq cm (d) 60 sq cm
  26. 26.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 34 (c) 11 (d) 22
  27. 27.Every pair follows the same rule: 2 : 6, 7 : 21, 8 : 24. What is 6 : ? (a) 17 (b) 10 (c) 19 (d) 18
  28. 28.What is 1/2 of 16? (a) 8 (b) 9 (c) 7 (d) 16
  29. 29.4/9 + 1/2 = ? (a) 17/18 (b) 1 (c) 5/11 (d) 8/9
  30. 30.In how many years will ₹1000 earn ₹100 simple interest at 2% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
  31. 31.Which of these numbers is divisible by 8? (a) 3720 (b) 3718 (c) 3729 (d) 3721
  32. 32.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 4 days (d) 11 days
  33. 33.What is the smallest number you must add to 107 to make it divisible by 9? (a) 2 (b) 1 (c) 3 (d) 8
  34. 34.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 56 min (d) 224 min
  35. 35.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 96 cm (d) 38 cm
  36. 36.What is the value of the digit 9 in 61.279? (a) 0.09 (b) 0.9 (c) 9 (d) 0.009
  37. 37.1/5 + 1/4 = ? (a) 9/20 (b) 1/2 (c) 2/5 (d) 2/9
  38. 38.What is 5% of 220? (a) 110 (b) 22 (c) 11 (d) 209
  39. 39.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 180 cm (d) 46 cm
  40. 40.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 187 sq cm (c) 170 sq cm (d) 54 sq cm

Answer key

  1. 1
  2. 41
  3. 18 min
  4. 60
  5. 2%
  6. 81 sq cm
  7. 0.2
  8. 0.02
  9. ₹9000
  10. 0.012
  11. 10 days
  12. 15%
  13. 17
  14. 11
  15. 0.37
  16. 2
  17. 10%
  18. 11
  19. 5/8
  20. 12
  21. 62
  22. 16 cm
  23. 11.76
  24. 42
  25. 225 sq cm
  26. 34
  27. 18
  28. 8
  29. 17/18
  30. 5 years
  31. 3720
  32. 3 days
  33. 1
  34. 56 min
  35. 44 cm
  36. 0.009
  37. 9/20
  38. 11
  39. 56 cm
  40. 170 sq cm

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