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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 197 · 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.What is 2/7 of 14? (a) 10 (b) 2 (c) 4 (d) 6
  2. 2.Two ribbons are 4 cm and 6 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 2 cm (c) 1 cm (d) 4 cm
  3. 3.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  4. 4.A shopkeeper buys a toy for ₹900 and sells it for ₹1260. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  5. 5.If 9 October is a Saturday, what day of the week is 19 October? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  6. 6.If 7x + 6 = 2x + 26, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  7. 7.₹350 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹150 (b) ₹200 (c) ₹175 (d) ₹50
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  9. 9.Two ribbons are 56 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 56 cm (b) 4 cm (c) 8 cm (d) 448 cm
  10. 10.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 135 min (c) 45 min (d) 24 min
  11. 11.What is 1/2 of 18? (a) 8 (b) 9 (c) 10 (d) 18
  12. 12.What is the remainder when 346 is divided by 12? (a) 9 (b) 11 (c) 10 (d) 2
  13. 13.If 2 October is a Wednesday, what day of the week is 12 October? (a) Saturday (b) Sunday (c) Monday (d) Friday
  14. 14.What is the average of 65, 52, 41, 42, 58 and 48? (a) 51 (b) 50 (c) 52 (d) 53
  15. 15.What is the average of 66, 41, 42, 56, 56 and 45? (a) 52 (b) 50 (c) 51 (d) 53
  16. 16.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 27 (b) 25 (c) 16 (d) 36
  17. 17.Which of these numbers is divisible by 3? (a) 856 (b) 860 (c) 862 (d) 858
  18. 18.A teacher has 4 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 6 (c) 4 (d) 1
  19. 19.A bag marked ₹220 is sold at a 10% discount. What is its selling price? (a) ₹198 (b) ₹210 (c) ₹242 (d) ₹22
  20. 20.What is 5/9 of 90? (a) 10 (b) 40 (c) 60 (d) 50
  21. 21.₹210 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹210 (b) ₹35 (c) ₹105 (d) ₹175
  22. 22.What is the average of 19, 15, 22 and 36? (a) 25 (b) 24 (c) 23 (d) 22
  23. 23.Every pair follows the same rule: 2 : 2, 3 : 7, 4 : 14. What is 5 : ? (a) 24 (b) 23 (c) 21 (d) 5
  24. 24.If 9 notebooks cost ₹126, how much do 10 notebooks cost? (a) ₹154 (b) ₹1260 (c) ₹127 (d) ₹140
  25. 25.Which fraction is greater: 1/4 or 1/6? (a) They are equal (b) 1/4 (c) 1/6
  26. 26.What is the simple interest on ₹7000 at 9% per year for 4 years? (a) ₹630 (b) ₹9520 (c) ₹3150 (d) ₹2520
  27. 27.What is the average of 36, 32, 39, 45 and 3? (a) 32 (b) 33 (c) 30 (d) 31
  28. 28.If 2x − 5 = 5, what is x? (a) 4 (b) 10 (c) 5 (d) 6
  29. 29.If 6x + 13 = 25, what is x? (a) 12 (b) 1 (c) 2 (d) 3
  30. 30.If 6 August is a Saturday, what day of the week is 15 August? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  31. 31.3.54 + 1.6 = ? (a) 3.7 (b) 5.24 (c) 5.14 (d) 5.04
  32. 32.What is the value of the digit 6 in 69.274? (a) 6 (b) 0.06 (c) 0.6 (d) 60
  33. 33.9.98 + 9.3 = ? (a) 19.18 (b) 19.38 (c) 19.28 (d) 10.91
  34. 34.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 8 (b) 59 (c) 28 (d) 7
  35. 35.Every pair follows the same rule: 4 : 18, 6 : 38, 7 : 51. What is 2 : ? (a) 7 (b) 5 (c) 16 (d) 6
  36. 36.1/3 + 3/7 = ? (a) 17/21 (b) 16/21 (c) 2/5 (d) 5/7
  37. 37.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 45 cm (c) 27 cm (d) 162 cm
  38. 38.9.84 + 4.2 = ? (a) 13.94 (b) 14.14 (c) 10.26 (d) 14.04
  39. 39.Which fraction is greater: 5/8 or 4/7? (a) 4/7 (b) They are equal (c) 5/8
  40. 40.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 79 (b) 55 (c) 32 (d) 63

Answer key

  1. 4
  2. 2 cm
  3. 25%
  4. 40%
  5. Tuesday
  6. 4
  7. ₹200
  8. 225 sq cm
  9. 8 cm
  10. 45 min
  11. 9
  12. 10
  13. Saturday
  14. 51
  15. 51
  16. 36
  17. 858
  18. 2
  19. ₹198
  20. 50
  21. ₹175
  22. 23
  23. 23
  24. ₹140
  25. 1/4
  26. ₹2520
  27. 31
  28. 5
  29. 2
  30. Monday
  31. 5.14
  32. 60
  33. 19.28
  34. 7
  35. 6
  36. 16/21
  37. 54 cm
  38. 14.04
  39. 5/8
  40. 79

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