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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 888 · 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. 1.2/3 + 1/2 = ? (a) 3/5 (b) 7/6 (c) 4/3 (d) 1
  2. 2.Every pair follows the same rule: 3 : 8, 4 : 15, 5 : 24. What is 9 : ? (a) 60 (b) 14 (c) 81 (d) 80
  3. 3.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 35 (c) 33 (d) 10
  4. 4.Every pair follows the same rule: 2 : 4, 6 : 16, 9 : 25. What is 3 : ? (a) 6 (b) 7 (c) 8 (d) 5
  5. 5.Which of these numbers is divisible by 3? (a) 1029 (b) 1030 (c) 1034 (d) 1028
  6. 6.Two ribbons are 6 cm and 14 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) 8 cm (c) 2 cm (d) 6 cm
  7. 7.6.28 + 2.9 = ? (a) 9.28 (b) 6.57 (c) 9.08 (d) 9.18
  8. 8.Every pair follows the same rule: 2 : 16, 6 : 48, 9 : 72. What is 4 : ? (a) 31 (b) 18 (c) 33 (d) 32
  9. 9.What is 1/6 of 42? (a) 7 (b) 14 (c) 35 (d) 8
  10. 10.If 2x + 28 = 50, what is x? (a) 12 (b) 22 (c) 39 (d) 11
  11. 11.If 3 August is a Wednesday, what day of the week is 15 August? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  12. 12.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 36 sq cm (d) 48 sq cm
  13. 13.Today is Friday. What day of the week will it be after 83 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  14. 14.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 36%
  15. 15.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 192 cm (c) 56 cm (d) 28 cm
  16. 16.What is the units digit of 4^22? (a) 6 (b) 7 (c) 4 (d) 5
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 16 cm (c) 14 cm (d) 12 cm
  18. 18.Which fraction is greater: 1/11 or 1/4? (a) 1/11 (b) 1/4 (c) They are equal
  19. 19.If 2x − 23 = 5, what is x? (a) 13 (b) 28 (c) 14 (d) 15
  20. 20.Which fraction is greater: 4/5 or 1/3? (a) They are equal (b) 4/5 (c) 1/3
  21. 21.2.64 + 1.9 = ? (a) 4.54 (b) 4.44 (c) 2.83 (d) 4.64
  22. 22.Which of these numbers is divisible by 11? (a) 1320 (b) 1318 (c) 1335 (d) 1330
  23. 23.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 96% (b) 30% (c) 35% (d) 25%
  24. 24.If 9 January is a Friday, what day of the week is 18 January? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  25. 25.A bag marked ₹1300 is sold at a 40% discount. What is its selling price? (a) ₹780 (b) ₹520 (c) ₹1820 (d) ₹1260
  26. 26.If x/4 + 2 = 7, what is x? (a) 20 (b) 36 (c) 5 (d) 26
  27. 27.A shopkeeper buys a toy for ₹420 and sells it for ₹315. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  28. 28.Which fraction is greater: 1/7 or 3/8? (a) 3/8 (b) They are equal (c) 1/7
  29. 29.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) 4 min (b) 160 min (c) 40 min (d) 28 min
  30. 30.If 5 October is a Wednesday, what day of the week is 13 October? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  31. 31.If 19 May is a Sunday, what day of the week is 1 June? (a) Sunday (b) Saturday (c) Friday (d) Monday
  32. 32.The simple interest on ₹9000 for 3 years is ₹1620. What is the rate per year? (a) 5% (b) 7% (c) 6% (d) 18%
  33. 33.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 19 sq cm (c) 24 sq cm (d) 9 sq cm
  34. 34.6 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 2 days (d) 8 days
  35. 35.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 35 cm
  36. 36.Every pair follows the same rule: 4 : 20, 5 : 21, 8 : 24. What is 6 : ? (a) 30 (b) 23 (c) 22 (d) 21
  37. 37.If x/2 + 14 = 25, what is x? (a) 36 (b) 22 (c) 11 (d) 78
  38. 38.If 6 kites cost ₹54, how much do 11 kites cost? (a) ₹108 (b) ₹594 (c) ₹59 (d) ₹99
  39. 39.What is the smallest number you must add to 542 to make it divisible by 10? (a) 7 (b) 8 (c) 2 (d) 9
  40. 40.What is 30% of 120? (a) 36 (b) 84 (c) 72 (d) 360

Answer key

  1. 7/6
  2. 80
  3. 41
  4. 7
  5. 1029
  6. 2 cm
  7. 9.18
  8. 32
  9. 7
  10. 11
  11. Monday
  12. 36 sq cm
  13. Thursday
  14. 30%
  15. 56 cm
  16. 6
  17. 16 cm
  18. 1/4
  19. 14
  20. 4/5
  21. 4.54
  22. 1320
  23. 30%
  24. Sunday
  25. ₹780
  26. 20
  27. 25%
  28. 3/8
  29. 40 min
  30. Thursday
  31. Saturday
  32. 6%
  33. 18 sq cm
  34. 10 days
  35. 6 cm
  36. 22
  37. 22
  38. ₹99
  39. 8
  40. 36

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