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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 172 · 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. 1.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 17 days (b) 40 days (c) 9 days (d) 39 days
  2. 2.Which fraction is greater: 1/9 or 1/5? (a) 1/5 (b) They are equal (c) 1/9
  3. 3.₹588 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹210 (b) ₹378 (c) ₹42 (d) ₹294
  4. 4.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 1 : ? (a) 7 (b) 1 (c) 2 (d) 4
  5. 5.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 65 cm (c) 12 cm (d) 6 cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
  7. 7.Which of these numbers is divisible by 3? (a) 298 (b) 292 (c) 294 (d) 296
  8. 8.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 10% (b) 6% (c) 25% (d) 5%
  9. 9.What is the value of the digit 4 in 27.346? (a) 0.4 (b) 4 (c) 0.004 (d) 0.04
  10. 10.Which fraction is greater: 3/4 or 2/5? (a) They are equal (b) 3/4 (c) 2/5
  11. 11.Which fraction is greater: 2/11 or 4/5? (a) 4/5 (b) They are equal (c) 2/11
  12. 12.The simple interest on ₹3500 for 2 years is ₹770. What is the rate per year? (a) 10% (b) 11% (c) 22% (d) 12%
  13. 13.2/4 + 1/2 = ? (a) 1 (b) 1/2 (c) 3/4 (d) 5/4
  14. 14.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 36 sq cm (d) 15 sq cm
  15. 15.What is 50% of 780? (a) 390 (b) 780 (c) 3900 (d) 391
  16. 16.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 143 sq cm (d) 130 sq cm
  17. 17.6.81 + 6.8 = ? (a) 13.71 (b) 13.61 (c) 13.51 (d) 7.49
  18. 18.Today is Tuesday. What day of the week will it be after 67 days? (a) Saturday (b) Sunday (c) Friday (d) Monday
  19. 19.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 4 (b) 24 (c) 11 (d) 3
  20. 20.6/8 + 2/6 = ? (a) 4/7 (b) 25/24 (c) 13/12 (d) 9/8
  21. 21.A shopkeeper buys a toy for ₹340 and sells it for ₹272. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 68%
  22. 22.If 6 May is a Saturday, what day of the week is 22 May? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday
  23. 23.Today is Monday. What day of the week will it be after 62 days? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  24. 24.If 15 January is a Monday, what day of the week is 3 February? (a) Saturday (b) Sunday (c) Monday (d) Friday
  25. 25.Which fraction is greater: 5/6 or 1/3? (a) They are equal (b) 5/6 (c) 1/3
  26. 26.What is the units digit of 8^27? (a) 4 (b) 8 (c) 6 (d) 2
  27. 27.A teacher has 18 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 18 (c) 6 (d) 12
  28. 28.If 3x + 5 = x + 15, what is x? (a) 10 (b) 6 (c) 5 (d) 7
  29. 29.₹2000 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹2120 (b) ₹600 (c) ₹2720 (d) ₹2600
  30. 30.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 108 min (c) 3 min (d) 36 min
  31. 31.If 6x − 18 = 24, what is x? (a) 42 (b) 7 (c) 8 (d) 1
  32. 32.If 2 pens cost ₹12, how much do 9 pens cost? (a) ₹108 (b) ₹54 (c) ₹19 (d) ₹60
  33. 33.Every pair follows the same rule: 2 : 4, 5 : 25, 9 : 81. What is 3 : ? (a) 5 (b) 10 (c) 9 (d) 6
  34. 34.If 6x + 19 = 3x + 55, what is x? (a) 4 (b) 14 (c) 13 (d) 12
  35. 35.7.66 + 3.1 = ? (a) 10.66 (b) 10.76 (c) 7.97 (d) 10.86
  36. 36.If 8 pens cost ₹56, how much do 4 pens cost? (a) ₹224 (b) ₹35 (c) ₹52 (d) ₹28
  37. 37.If 5x + 3 = 2x + 30, what is x? (a) 11 (b) 10 (c) 9 (d) 8
  38. 38.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 77 (b) 41 (c) 71 (d) 35
  39. 39.Every pair follows the same rule: 3 : 13, 5 : 29, 8 : 68. What is 4 : ? (a) 20 (b) 14 (c) 16 (d) 21
  40. 40.Which fraction is greater: 2/7 or 1/3? (a) 2/7 (b) They are equal (c) 1/3

Answer key

  1. 39 days
  2. 1/5
  3. ₹378
  4. 1
  5. 6 cm
  6. 21 sq cm
  7. 294
  8. 5%
  9. 0.04
  10. 3/4
  11. 4/5
  12. 11%
  13. 1
  14. 36 sq cm
  15. 390
  16. 130 sq cm
  17. 13.61
  18. Saturday
  19. 3
  20. 13/12
  21. 20%
  22. Monday
  23. Sunday
  24. Saturday
  25. 5/6
  26. 2
  27. 6
  28. 5
  29. ₹2600
  30. 36 min
  31. 7
  32. ₹54
  33. 9
  34. 12
  35. 10.76
  36. ₹28
  37. 9
  38. 71
  39. 20
  40. 1/3

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