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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 586 · 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.Every pair follows the same rule: 2 : 10, 3 : 12, 6 : 18. What is 8 : ? (a) 23 (b) 16 (c) 22 (d) 40
  2. 2.What is 7/9 of 108? (a) 96 (b) 12 (c) 24 (d) 84
  3. 3.Which of these numbers is divisible by 3? (a) 481 (b) 476 (c) 477 (d) 479
  4. 4.What is the units digit of 2^43? (a) 8 (b) 2 (c) 4 (d) 6
  5. 5.Today is Friday. What day of the week will it be after 66 days? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
  6. 6.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 350 min (c) 70 min (d) 5 min
  7. 7.What is the average of all the whole numbers from 38 to 52? (a) 46 (b) 7 (c) 14 (d) 45
  8. 8.A shopkeeper buys a toy for ₹340 and sells it for ₹425. What is his profit percent? (a) 25% (b) 20% (c) 85% (d) 30%
  9. 9.2.73 + 9.3 = ? (a) 12.03 (b) 12.13 (c) 3.66 (d) 11.93
  10. 10.If 2x + 1 = 5, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  12. 12.If 2x + 19 = 33, what is x? (a) 8 (b) 7 (c) 14 (d) 26
  13. 13.If x/2 + 4 = 12, what is x? (a) 16 (b) 8 (c) 20 (d) 32
  14. 14.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 50 min (b) 35 min (c) 5 min (d) 250 min
  15. 15.₹242 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹132 (b) ₹121 (c) ₹110 (d) ₹22
  16. 16.A teacher has 16 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 4 (c) 56 (d) 16
  17. 17.What is the smallest number you must add to 115 to make it divisible by 6? (a) 3 (b) 1 (c) 5 (d) 4
  18. 18.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 112 (c) 56 (d) 224
  19. 19.If 11 August is a Saturday, what day of the week is 18 September? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  20. 20.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 160 min (b) 28 min (c) 40 min (d) 4 min
  21. 21.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 80 min (b) 40 min (c) 2 min (d) 18 min
  22. 22.What is the units digit of 4^58? (a) 4 (b) 5 (c) 6 (d) 7
  23. 23.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 88 cm (c) 9 cm (d) 18 cm
  24. 24.What is the units digit of 9^37? (a) 7 (b) 1 (c) 8 (d) 9
  25. 25.A teacher has 48 pencils and 108 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 12 (c) 60 (d) 48
  26. 26.Today is Sunday. What day of the week will it be after 51 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  27. 27.If 27 October is a Thursday, what day of the week is 12 November? (a) Sunday (b) Monday (c) Saturday (d) Friday
  28. 28.Which fraction is greater: 3/4 or 1/6? (a) They are equal (b) 1/6 (c) 3/4
  29. 29.₹4500 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹900 (b) ₹5400 (c) ₹5850 (d) ₹4950
  30. 30.What is the units digit of 2^16? (a) 6 (b) 8 (c) 2 (d) 4
  31. 31.What is the average of all the whole numbers from 39 to 71? (a) 32 (b) 55 (c) 56 (d) 16
  32. 32.A shopkeeper buys a toy for ₹1000 and sells it for ₹1050. What is his profit percent? (a) 10% (b) 50% (c) 6% (d) 5%
  33. 33.₹5000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹600 (b) ₹5600 (c) ₹5150 (d) ₹5750
  34. 34.If 6 notebooks cost ₹72, how much do 5 notebooks cost? (a) ₹72 (b) ₹360 (c) ₹60 (d) ₹71
  35. 35.The simple interest on ₹1500 for 3 years is ₹315. What is the rate per year? (a) 6% (b) 8% (c) 7% (d) 21%
  36. 36.1/2 + 3/4 = ? (a) 3/2 (b) 1 (c) 2/3 (d) 5/4
  37. 37.What is the simple interest on ₹4500 at 7% per year for 3 years? (a) ₹1260 (b) ₹315 (c) ₹945 (d) ₹5445
  38. 38.What is the simple interest on ₹2000 at 12% per year for 5 years? (a) ₹1200 (b) ₹240 (c) ₹3200 (d) ₹1440
  39. 39.What is the simple interest on ₹9500 at 11% per year for 3 years? (a) ₹12635 (b) ₹4180 (c) ₹3135 (d) ₹1045
  40. 40.Every pair follows the same rule: 4 : 8, 7 : 14, 9 : 18. What is 3 : ? (a) 5 (b) 8 (c) 6 (d) 7

Answer key

  1. 22
  2. 84
  3. 477
  4. 8
  5. Monday
  6. 70 min
  7. 45
  8. 25%
  9. 12.03
  10. 2
  11. 49 sq cm
  12. 7
  13. 16
  14. 50 min
  15. ₹132
  16. 8
  17. 5
  18. 56
  19. Tuesday
  20. 40 min
  21. 40 min
  22. 6
  23. 9 cm
  24. 9
  25. 12
  26. Tuesday
  27. Saturday
  28. 3/4
  29. ₹5400
  30. 6
  31. 55
  32. 5%
  33. ₹5600
  34. ₹60
  35. 7%
  36. 5/4
  37. ₹945
  38. ₹1200
  39. ₹3135
  40. 6

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