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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 443 · 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 ₹880 is sold at a 25% discount. What is its selling price? (a) ₹220 (b) ₹1100 (c) ₹660 (d) ₹855
  2. 2.If 7x + 27 = 97, what is x? (a) 9 (b) 70 (c) 11 (d) 10
  3. 3.1/3 + 1/3 = ? (a) 4/3 (b) 1/3 (c) 1 (d) 2/3
  4. 4.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  5. 5.If 14 September is a Thursday, what day of the week is 18 October? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  6. 6.Every pair follows the same rule: 3 : 6, 4 : 9, 6 : 15. What is 9 : ? (a) 12 (b) 25 (c) 18 (d) 24
  7. 7.Which fraction is greater: 9/10 or 5/11? (a) 9/10 (b) They are equal (c) 5/11
  8. 8.If 6x + 4 = 82, what is x? (a) 13 (b) 12 (c) 14 (d) 78
  9. 9.3.48 + 8.4 = ? (a) 11.78 (b) 4.32 (c) 11.98 (d) 11.88
  10. 10.A teacher has 32 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 8 (c) 32 (d) 40
  11. 11.What is 1/2 of 12? (a) 12 (b) 7 (c) 5 (d) 6
  12. 12.What is the average of all the whole numbers from 58 to 80? (a) 70 (b) 69 (c) 11 (d) 22
  13. 13.Which is the smallest: 0.081, 0.361, 0.48, 0.4? (a) 0.081 (b) 0.361 (c) 0.48 (d) 0.4
  14. 14.Which fraction is greater: 1/3 or 2/5? (a) 1/3 (b) They are equal (c) 2/5
  15. 15.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 20 min (c) 2 min (d) 40 min
  16. 16.In how many years will ₹8000 earn ₹1920 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 22 sq cm (d) 30 sq cm
  18. 18.If 4x − 3 = 9, what is x? (a) 2 (b) 12 (c) 3 (d) 4
  19. 19.Which fraction is greater: 1/4 or 7/8? (a) 1/4 (b) They are equal (c) 7/8
  20. 20.Which of these numbers is divisible by 3? (a) 1439 (b) 1432 (c) 1434 (d) 1435
  21. 21.Every pair follows the same rule: 2 : 5, 3 : 6, 6 : 9. What is 7 : ? (a) 12 (b) 10 (c) 9 (d) 11
  22. 22.What is 10% of 860? (a) 86 (b) 774 (c) 860 (d) 172
  23. 23.What is the remainder when 354 is divided by 5? (a) 1 (b) 2 (c) 4 (d) 3
  24. 24.4.48 + 6.4 = ? (a) 10.88 (b) 10.98 (c) 5.12 (d) 10.78
  25. 25.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  26. 26.Every pair follows the same rule: 2 : 18, 3 : 27, 9 : 81. What is 6 : ? (a) 53 (b) 55 (c) 22 (d) 54
  27. 27.What is the remainder when 437 is divided by 10? (a) 6 (b) 7 (c) 3 (d) 8
  28. 28.Every pair follows the same rule: 3 : 8, 4 : 11, 7 : 20. What is 8 : ? (a) 13 (b) 22 (c) 24 (d) 23
  29. 29.₹5500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹6710 (b) ₹7315 (c) ₹1210 (d) ₹6105
  30. 30.1/4 + 5/6 = ? (a) 7/6 (b) 1 (c) 3/5 (d) 13/12
  31. 31.Every pair follows the same rule: 2 : 5, 4 : 17, 6 : 37. What is 3 : ? (a) 11 (b) 10 (c) 7 (d) 6
  32. 32.What is the smallest number you must add to 372 to make it divisible by 11? (a) 2 (b) 9 (c) 3 (d) 1
  33. 33.Every pair follows the same rule: 2 : 19, 5 : 22, 6 : 23. What is 8 : ? (a) 26 (b) 27 (c) 24 (d) 25
  34. 34.Every pair follows the same rule: 2 : 3, 6 : 35, 8 : 63. What is 3 : ? (a) 9 (b) 4 (c) 7 (d) 8
  35. 35.₹96 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹12 (b) ₹48 (c) ₹60 (d) ₹36
  36. 36.What is 3/8 of 88? (a) 33 (b) 55 (c) 11 (d) 44
  37. 37.What is 25% of 860? (a) 430 (b) 645 (c) 2150 (d) 215
  38. 38.If 5 October is a Friday, what day of the week is 18 October? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  39. 39.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 140 cm
  40. 40.If 4 January is a Saturday, what day of the week is 12 January? (a) Saturday (b) Monday (c) Tuesday (d) Sunday

Answer key

  1. ₹660
  2. 10
  3. 2/3
  4. 196 sq cm
  5. Wednesday
  6. 24
  7. 9/10
  8. 13
  9. 11.88
  10. 8
  11. 6
  12. 69
  13. 0.081
  14. 2/5
  15. 20 min
  16. 2 years
  17. 30 sq cm
  18. 3
  19. 7/8
  20. 1434
  21. 10
  22. 86
  23. 4
  24. 10.88
  25. 12 sq cm
  26. 54
  27. 7
  28. 23
  29. ₹6710
  30. 13/12
  31. 10
  32. 2
  33. 25
  34. 8
  35. ₹60
  36. 33
  37. 215
  38. Thursday
  39. 11 cm
  40. Sunday

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