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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 123 · 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.A bag marked ₹440 is sold at a 25% discount. What is its selling price? (a) ₹110 (b) ₹415 (c) ₹550 (d) ₹330
  2. 2.If 2 pens cost ₹34, how much do 4 pens cost? (a) ₹36 (b) ₹85 (c) ₹68 (d) ₹136
  3. 3.Which is the greatest: 0.33, 0.3, 0.236, 0.069? (a) 0.33 (b) 0.3 (c) 0.236 (d) 0.069
  4. 4.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 30 min (c) 3 min (d) 21 min
  5. 5.What is the simple interest on ₹5000 at 10% per year for 2 years? (a) ₹6000 (b) ₹1500 (c) ₹500 (d) ₹1000
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  7. 7.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 1 (d) 12
  8. 8.If 28 November is a Saturday, what day of the week is 15 December? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
  9. 9.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 24 (b) 27 (c) 45 (d) 33
  10. 10.4 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 14 days (b) 18 days (c) 10 days (d) 8 days
  11. 11.What is the smallest number of sweets that can be shared equally among 20 children or among 24 children, with none left over? (a) 240 (b) 120 (c) 480 (d) 44
  12. 12.A teacher has 30 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 30 (b) 5 (c) 40 (d) 10
  13. 13.What is the units digit of 7^52? (a) 9 (b) 7 (c) 1 (d) 3
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  15. 15.A bag marked ₹520 is sold at a 15% discount. What is its selling price? (a) ₹78 (b) ₹442 (c) ₹505 (d) ₹598
  16. 16.What is the value of the digit 5 in 37.815? (a) 0.005 (b) 0.05 (c) 5 (d) 0.5
  17. 17.What is the smallest number you must add to 428 to make it divisible by 11? (a) 1 (b) 2 (c) 3 (d) 10
  18. 18.If 31 July is a Wednesday, what day of the week is 18 August? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  19. 19.If 8x + 22 = 38, what is x? (a) 2 (b) 3 (c) 16 (d) 1
  20. 20.3.13 + 4.1 = ? (a) 7.13 (b) 7.23 (c) 3.54 (d) 7.33
  21. 21.What is the value of the digit 7 in 57.926? (a) 7 (b) 0.07 (c) 0.7 (d) 70
  22. 22.What is the average of all the whole numbers from 51 to 69? (a) 18 (b) 60 (c) 9 (d) 61
  23. 23.₹72 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹36 (b) ₹9 (c) ₹63 (d) ₹72
  24. 24.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 18 (b) 57 (c) 42 (d) 45
  25. 25.The simple interest on ₹6500 for 2 years is ₹1430. What is the rate per year? (a) 12% (b) 10% (c) 11% (d) 22%
  26. 26.Which of these numbers is divisible by 6? (a) 3944 (b) 3949 (c) 3948 (d) 3958
  27. 27.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 80%
  28. 28.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 10 (b) 42 (c) 66 (d) 34
  29. 29.What is the value of the digit 5 in 52.783? (a) 0.5 (b) 50 (c) 0.05 (d) 5
  30. 30.What is the units digit of 8^23? (a) 4 (b) 8 (c) 2 (d) 6
  31. 31.Which is the smallest: 0.71, 0.656, 0.011, 0.7? (a) 0.71 (b) 0.656 (c) 0.011 (d) 0.7
  32. 32.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 10 (c) 59 (d) 11
  33. 33.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 28 (b) 84 (c) 44 (d) 68
  34. 34.What is the value of the digit 1 in 97.612? (a) 1 (b) 0.001 (c) 0.01 (d) 0.1
  35. 35.A bag marked ₹680 is sold at a 25% discount. What is its selling price? (a) ₹655 (b) ₹170 (c) ₹850 (d) ₹510
  36. 36.If 4 January is a Friday, what day of the week is 19 January? (a) Sunday (b) Friday (c) Saturday (d) Monday
  37. 37.If 6x + 21 = 69, what is x? (a) 9 (b) 48 (c) 8 (d) 15
  38. 38.8.31 + 5.6 = ? (a) 13.81 (b) 8.87 (c) 13.91 (d) 14.01
  39. 39.If 4x − 2 = 14, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  40. 40.8.97 + 2.1 = ? (a) 11.07 (b) 9.18 (c) 11.17 (d) 10.97

Answer key

  1. ₹330
  2. ₹68
  3. 0.33
  4. 30 min
  5. ₹1000
  6. 49 sq cm
  7. 2
  8. Tuesday
  9. 45
  10. 8 days
  11. 120
  12. 10
  13. 1
  14. 36 sq cm
  15. ₹442
  16. 0.005
  17. 1
  18. Sunday
  19. 2
  20. 7.23
  21. 7
  22. 60
  23. ₹63
  24. 57
  25. 11%
  26. 3948
  27. 25%
  28. 42
  29. 50
  30. 2
  31. 0.011
  32. 10
  33. 68
  34. 0.01
  35. ₹510
  36. Saturday
  37. 8
  38. 13.91
  39. 4
  40. 11.07

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