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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 997 · 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 the smallest number you must add to 287 to make it divisible by 6? (a) 2 (b) 5 (c) 1 (d) 3
  2. 2.What is 30% of 920? (a) 552 (b) 2760 (c) 276 (d) 644
  3. 3.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 38 cm (d) 19 cm
  4. 4.Which fraction is greater: 6/7 or 3/5? (a) 6/7 (b) They are equal (c) 3/5
  5. 5.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 5 cm
  6. 6.Which fraction is greater: 5/8 or 1/4? (a) They are equal (b) 5/8 (c) 1/4
  7. 7.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 216 (b) 72 (c) 36 (d) 30
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  9. 9.If 10 December is a Wednesday, what day of the week is 20 December? (a) Friday (b) Monday (c) Saturday (d) Sunday
  10. 10.What is 2/9 of 54? (a) 42 (b) 18 (c) 12 (d) 6
  11. 11.What is 1/5 of 40? (a) 32 (b) 16 (c) 9 (d) 8
  12. 12.What is the simple interest on ₹1000 at 6% per year for 4 years? (a) ₹60 (b) ₹300 (c) ₹240 (d) ₹1240
  13. 13.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 84 (b) 20 (c) 42 (d) 43
  14. 14.What is the value of the digit 8 in 53.869? (a) 0.8 (b) 0.08 (c) 8 (d) 0.008
  15. 15.Today is Sunday. What day of the week will it be after 74 days? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  16. 16.Today is Friday. What day of the week will it be after 18 days? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
  17. 17.If x/5 + 1 = 10, what is x? (a) 9 (b) 49 (c) 45 (d) 55
  18. 18.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 6 cm (c) 4 cm (d) 3 cm
  19. 19.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 126 min (c) 378 min (d) 39 min
  20. 20.Every pair follows the same rule: 2 : 18, 3 : 19, 9 : 25. What is 6 : ? (a) 23 (b) 22 (c) 54 (d) 21
  21. 21.A bag marked ₹1540 is sold at a 15% discount. What is its selling price? (a) ₹1771 (b) ₹1309 (c) ₹1525 (d) ₹231
  22. 22.3/4 + 2/3 = ? (a) 17/12 (b) 3/2 (c) 5/7 (d) 4/3
  23. 23.9 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 28 days (c) 26 days (d) 13 days
  24. 24.What is 75% of 600? (a) 150 (b) 900 (c) 4500 (d) 450
  25. 25.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 22 (b) 74 (c) 23 (d) 36
  26. 26.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 13 sq cm (d) 22 sq cm
  27. 27.What is the average of 71, 63, 80, 63, 87 and 86? (a) 76 (b) 90 (c) 75 (d) 74
  28. 28.Every pair follows the same rule: 7 : 51, 8 : 66, 9 : 83. What is 6 : ? (a) 38 (b) 39 (c) 32 (d) 50
  29. 29.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 23 (c) 22 (d) 21
  30. 30.If 5x + 29 = 44, what is x? (a) 15 (b) 3 (c) 4 (d) 2
  31. 31.What is the simple interest on ₹6500 at 7% per year for 4 years? (a) ₹1820 (b) ₹2275 (c) ₹8320 (d) ₹455
  32. 32.If 12 June is a Friday, what day of the week is 19 July? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  33. 33.If 26 August is a Saturday, what day of the week is 13 September? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  34. 34.Which is the smallest: 0.176, 0.047, 0.28, 0.2? (a) 0.176 (b) 0.047 (c) 0.28 (d) 0.2
  35. 35.What is the simple interest on ₹7000 at 5% per year for 2 years? (a) ₹7700 (b) ₹1050 (c) ₹700 (d) ₹350
  36. 36.What is the average of 54, 38, 29, 53 and 41? (a) 45 (b) 43 (c) 42 (d) 44
  37. 37.Which is the smallest: 0.89, 0.026, 0.8, 0.733? (a) 0.89 (b) 0.026 (c) 0.8 (d) 0.733
  38. 38.If 2 kites cost ₹18, how much do 10 kites cost? (a) ₹26 (b) ₹180 (c) ₹90 (d) ₹99
  39. 39.Every pair follows the same rule: 2 : 3, 3 : 8, 4 : 15. What is 8 : ? (a) 63 (b) 43 (c) 9 (d) 64
  40. 40.What is the value of the digit 7 in 71.642? (a) 0.7 (b) 70 (c) 0.07 (d) 7

Answer key

  1. 1
  2. 276
  3. 38 cm
  4. 6/7
  5. 2 cm
  6. 5/8
  7. 36
  8. 144 sq cm
  9. Saturday
  10. 12
  11. 8
  12. ₹240
  13. 42
  14. 0.8
  15. Thursday
  16. Tuesday
  17. 45
  18. 3 cm
  19. 126 min
  20. 22
  21. ₹1309
  22. 17/12
  23. 27 days
  24. 450
  25. 22
  26. 22 sq cm
  27. 75
  28. 38
  29. 22
  30. 3
  31. ₹1820
  32. Sunday
  33. Wednesday
  34. 0.047
  35. ₹700
  36. 43
  37. 0.026
  38. ₹90
  39. 63
  40. 70

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