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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 255 · 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.₹6000 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹1440 (b) ₹7800 (c) ₹6360 (d) ₹7440
  2. 2.If 30 April is a Wednesday, what day of the week is 11 May? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  3. 3.What is the simple interest on ₹2500 at 10% per year for 2 years? (a) ₹750 (b) ₹3000 (c) ₹500 (d) ₹250
  4. 4.If 15 January is a Tuesday, what day of the week is 26 January? (a) Sunday (b) Saturday (c) Friday (d) Monday
  5. 5.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 2 (c) 20 (d) 4
  6. 6.If 3x + 11 = 2x + 21, what is x? (a) 2 (b) 11 (c) 10 (d) 32
  7. 7.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 126 min (c) 378 min (d) 39 min
  8. 8.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 84 cm (c) 19 cm (d) 38 cm
  9. 9.Which is the greatest: 0.81, 0.715, 0.8, 0.082? (a) 0.81 (b) 0.715 (c) 0.8 (d) 0.082
  10. 10.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 11 sq cm (c) 22 sq cm (d) 36 sq cm
  11. 11.Which of these numbers is divisible by 9? (a) 1484 (b) 1476 (c) 1471 (d) 1487
  12. 12.Every pair follows the same rule: 5 : 25, 7 : 49, 8 : 64. What is 2 : ? (a) 22 (b) 4 (c) 10 (d) 5
  13. 13.If 4x + 7 = 43, what is x? (a) 8 (b) 9 (c) 10 (d) 36
  14. 14.The simple interest on ₹2000 for 2 years is ₹160. What is the rate per year? (a) 4% (b) 8% (c) 3% (d) 5%
  15. 15.Which is the smallest: 0.018, 0.186, 0.2, 0.25? (a) 0.018 (b) 0.186 (c) 0.2 (d) 0.25
  16. 16.Every pair follows the same rule: 2 : 2, 3 : 7, 4 : 14. What is 5 : ? (a) 23 (b) 5 (c) 21 (d) 24
  17. 17.If x/4 + 9 = 21, what is x? (a) 75 (b) 12 (c) 120 (d) 48
  18. 18.If 18 July is a Sunday, what day of the week is 7 August? (a) Monday (b) Sunday (c) Saturday (d) Friday
  19. 19.What is the units digit of 8^32? (a) 4 (b) 2 (c) 8 (d) 6
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  21. 21.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 5 days (c) 15 days (d) 9 days
  22. 22.What is the average of 47, 29, 37, 45 and 2? (a) 40 (b) 32 (c) 33 (d) 31
  23. 23.Which is the greatest: 0.32, 0.096, 0.3, 0.273? (a) 0.32 (b) 0.096 (c) 0.3 (d) 0.273
  24. 24.₹176 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹132 (b) ₹176 (c) ₹88 (d) ₹44
  25. 25.Which of these numbers is divisible by 6? (a) 2101 (b) 2106 (c) 2114 (d) 2110
  26. 26.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 15% (b) 16% (c) 10% (d) 20%
  27. 27.What is 30% of 960? (a) 576 (b) 672 (c) 288 (d) 2880
  28. 28.Which is the smallest: 0.011, 0.714, 0.8, 0.81? (a) 0.011 (b) 0.714 (c) 0.8 (d) 0.81
  29. 29.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 5 : ? (a) 23 (b) 10 (c) 25 (d) 7
  30. 30.Every pair follows the same rule: 5 : 18, 6 : 20, 8 : 24. What is 2 : ? (a) 13 (b) 12 (c) 11 (d) 15
  31. 31.4/7 + 1/5 = ? (a) 26/35 (b) 4/5 (c) 27/35 (d) 5/12
  32. 32.What is 3/5 of 35? (a) 21 (b) 28 (c) 7 (d) 14
  33. 33.Every pair follows the same rule: 2 : 14, 3 : 21, 8 : 56. What is 6 : ? (a) 41 (b) 18 (c) 42 (d) 43
  34. 34.If 3 notebooks cost ₹51, how much do 12 notebooks cost? (a) ₹60 (b) ₹204 (c) ₹221 (d) ₹612
  35. 35.3.56 + 8.5 = ? (a) 12.06 (b) 4.41 (c) 11.96 (d) 12.16
  36. 36.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 133 cm (b) 52 cm (c) 26 cm (d) 45 cm
  37. 37.What is 3/8 of 24? (a) 15 (b) 9 (c) 3 (d) 12
  38. 38.What is the value of the digit 2 in 97.126? (a) 2 (b) 0.2 (c) 0.02 (d) 0.002
  39. 39.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 3 min (c) 63 min (d) 30 min
  40. 40.What is the smallest number you must add to 247 to make it divisible by 10? (a) 3 (b) 4 (c) 2 (d) 7

Answer key

  1. ₹7440
  2. Sunday
  3. ₹500
  4. Saturday
  5. 4
  6. 10
  7. 126 min
  8. 38 cm
  9. 0.81
  10. 30 sq cm
  11. 1476
  12. 4
  13. 9
  14. 4%
  15. 0.018
  16. 23
  17. 48
  18. Saturday
  19. 6
  20. 121 sq cm
  21. 14 days
  22. 32
  23. 0.32
  24. ₹132
  25. 2106
  26. 15%
  27. 288
  28. 0.011
  29. 25
  30. 12
  31. 27/35
  32. 21
  33. 42
  34. ₹204
  35. 12.06
  36. 52 cm
  37. 9
  38. 0.02
  39. 63 min
  40. 3

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