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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 49 · 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.Which fraction is greater: 11/12 or 1/3? (a) 11/12 (b) They are equal (c) 1/3
  2. 2.If 2 kites cost ₹18, how much do 8 kites cost? (a) ₹24 (b) ₹144 (c) ₹81 (d) ₹72
  3. 3.If 7 December is a Monday, what day of the week is 18 December? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  4. 4.A shopkeeper buys a toy for ₹140 and sells it for ₹182. What is his profit percent? (a) 25% (b) 42% (c) 35% (d) 30%
  5. 5.A teacher has 6 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 8 (c) 6 (d) 2
  6. 6.1.31 + 6.9 = ? (a) 8.31 (b) 8.21 (c) 8.11 (d) 2
  7. 7.Which fraction is greater: 5/8 or 1/3? (a) 1/3 (b) They are equal (c) 5/8
  8. 8.A teacher has 72 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 72 (c) 648 (d) 3
  9. 9.Which of these numbers is divisible by 6? (a) 3698 (b) 3689 (c) 3690 (d) 3695
  10. 10.If 2x + 28 = 54, what is x? (a) 26 (b) 41 (c) 13 (d) 14
  11. 11.What is the value of the digit 6 in 63.815? (a) 6 (b) 60 (c) 0.06 (d) 0.6
  12. 12.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 104 sq cm (c) 21 sq cm (d) 117 sq cm
  13. 13.What is the average of all the whole numbers from 8 to 48? (a) 29 (b) 20 (c) 40 (d) 28
  14. 14.Every pair follows the same rule: 6 : 36, 7 : 42, 9 : 54. What is 8 : ? (a) 48 (b) 47 (c) 49 (d) 38
  15. 15.What is the units digit of 8^23? (a) 8 (b) 4 (c) 2 (d) 6
  16. 16.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
  17. 17.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹1490 (b) ₹456 (c) ₹1064 (d) ₹1976
  18. 18.If 5x − 33 = 32, what is x? (a) 14 (b) 65 (c) 13 (d) 12
  19. 19.If 3x − 3 = 27, what is x? (a) 10 (b) 30 (c) 8 (d) 11
  20. 20.The simple interest on ₹9500 for 3 years is ₹570. What is the rate per year? (a) 1% (b) 6% (c) 3% (d) 2%
  21. 21.If 5 December is a Wednesday, what day of the week is 14 December? (a) Saturday (b) Thursday (c) Sunday (d) Friday
  22. 22.₹550 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹50 (b) ₹350 (c) ₹275 (d) ₹200
  23. 23.If 5 notebooks cost ₹125, how much do 10 notebooks cost? (a) ₹1250 (b) ₹275 (c) ₹250 (d) ₹130
  24. 24.Which fraction is greater: 1/11 or 1/6? (a) 1/6 (b) 1/11 (c) They are equal
  25. 25.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm
  26. 26.9.49 + 4.2 = ? (a) 9.91 (b) 13.79 (c) 13.59 (d) 13.69
  27. 27.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 2 : ? (a) 7 (b) 8 (c) 2 (d) 9
  28. 28.What is 1/2 of 24? (a) 24 (b) 12 (c) 11 (d) 13
  29. 29.What is the value of the digit 6 in 63.514? (a) 0.06 (b) 6 (c) 60 (d) 0.6
  30. 30.6.43 + 9.1 = ? (a) 7.34 (b) 15.43 (c) 15.53 (d) 15.63
  31. 31.A shopkeeper buys a toy for ₹540 and sells it for ₹378. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 31%
  32. 32.Every pair follows the same rule: 4 : 16, 8 : 64, 9 : 81. What is 6 : ? (a) 30 (b) 24 (c) 18 (d) 36
  33. 33.Two ribbons are 49 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 49 cm (c) 392 cm (d) 7 cm
  34. 34.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 300 min (c) 35 min (d) 60 min
  35. 35.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 126 (b) 27 (c) 42 (d) 84
  36. 36.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 17 cm (c) 27 cm (d) 34 cm
  37. 37.If 2x − 9 = 5, what is x? (a) 14 (b) 8 (c) 6 (d) 7
  38. 38.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 16 (c) 15 (d) 45
  39. 39.7.14 + 8.5 = ? (a) 7.99 (b) 15.74 (c) 15.64 (d) 15.54
  40. 40.What is the average of 50, 70, 54 and 78? (a) 84 (b) 64 (c) 63 (d) 62

Answer key

  1. 11/12
  2. ₹72
  3. Friday
  4. 30%
  5. 2
  6. 8.21
  7. 5/8
  8. 9
  9. 3690
  10. 13
  11. 60
  12. 104 sq cm
  13. 28
  14. 48
  15. 2
  16. 4 cm
  17. ₹1064
  18. 13
  19. 10
  20. 2%
  21. Friday
  22. ₹350
  23. ₹250
  24. 1/6
  25. 11 cm
  26. 13.69
  27. 8
  28. 12
  29. 60
  30. 15.53
  31. 30%
  32. 36
  33. 7 cm
  34. 60 min
  35. 42
  36. 34 cm
  37. 7
  38. 15
  39. 15.64
  40. 63

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