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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 936 · 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 rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 182 sq cm (c) 168 sq cm (d) 52 sq cm
  2. 2.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 36 min (c) 224 min (d) 4 min
  3. 3.A bag marked ₹540 is sold at a 10% discount. What is its selling price? (a) ₹594 (b) ₹486 (c) ₹54 (d) ₹530
  4. 4.If 2 August is a Monday, what day of the week is 12 August? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  5. 5.A teacher has 30 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 10 (c) 30 (d) 120
  6. 6.Which fraction is greater: 1/11 or 7/8? (a) 1/11 (b) 7/8 (c) They are equal
  7. 7.If x/6 + 9 = 20, what is x? (a) 11 (b) 66 (c) 111 (d) 174
  8. 8.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 1 : ? (a) 25 (b) 1 (c) 2 (d) 9
  9. 9.Which is the smallest: 0.479, 0.5, 0.026, 0.52? (a) 0.479 (b) 0.5 (c) 0.026 (d) 0.52
  10. 10.What is the remainder when 127 is divided by 7? (a) 0 (b) 6 (c) 1 (d) 2
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  12. 12.If 7 August is a Sunday, what day of the week is 18 August? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  13. 13.If x/5 + 13 = 17, what is x? (a) 4 (b) 72 (c) 20 (d) 150
  14. 14.Every pair follows the same rule: 4 : 15, 8 : 63, 9 : 80. What is 6 : ? (a) 36 (b) 17 (c) 35 (d) 29
  15. 15.₹273 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹21 (b) ₹210 (c) ₹84 (d) ₹189
  16. 16.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 80 (c) 42 (d) 52
  17. 17.₹10000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹2000 (b) ₹11000 (c) ₹13000 (d) ₹12000
  18. 18.Which of these numbers is divisible by 3? (a) 712 (b) 714 (c) 715 (d) 719
  19. 19.What is the simple interest on ₹1000 at 9% per year for 2 years? (a) ₹180 (b) ₹270 (c) ₹1180 (d) ₹90
  20. 20.If 5x + 10 = 3x + 24, what is x? (a) 8 (b) 9 (c) 7 (d) 17
  21. 21.Today is Wednesday. What day of the week will it be after 92 days? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
  22. 22.What is the value of the digit 7 in 84.796? (a) 0.007 (b) 0.7 (c) 0.07 (d) 7
  23. 23.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 19 days (c) 3 days (d) 4 days
  24. 24.Two ribbons are 30 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 5 cm (c) 50 cm (d) 30 cm
  25. 25.Every pair follows the same rule: 4 : 8, 7 : 14, 8 : 16. What is 5 : ? (a) 11 (b) 12 (c) 10 (d) 9
  26. 26.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 48 (b) 46 (c) 97 (d) 45
  27. 27.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 60 (b) 90 (c) 30 (d) 21
  28. 28.8 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 14 days (b) 5 days (c) 6 days (d) 20 days
  29. 29.₹2000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹2560 (b) ₹420 (c) ₹2140 (d) ₹2420
  30. 30.What is 20% of 600? (a) 1200 (b) 480 (c) 120 (d) 240
  31. 31.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 2 : ? (a) 9 (b) 7 (c) 2 (d) 8
  32. 32.Every pair follows the same rule: 5 : 33, 6 : 44, 8 : 72. What is 4 : ? (a) 25 (b) 32 (c) 16 (d) 24
  33. 33.What is 7/8 of 40? (a) 35 (b) 40 (c) 36 (d) 5
  34. 34.What is the average of 18, 37, 30, 22, 20 and 41? (a) 28 (b) 29 (c) 27 (d) 30
  35. 35.1.07 + 2.6 = ? (a) 3.77 (b) 3.67 (c) 3.57 (d) 1.33
  36. 36.A teacher has 40 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 32 (c) 4 (d) 8
  37. 37.6 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 18 days (b) 6 days (c) 24 days (d) 7 days
  38. 38.What is the value of the digit 5 in 98.735? (a) 0.05 (b) 0.005 (c) 5 (d) 0.5
  39. 39.What is 10% of 360? (a) 324 (b) 72 (c) 360 (d) 36
  40. 40.If 8 January is a Thursday, what day of the week is 18 January? (a) Monday (b) Saturday (c) Tuesday (d) Sunday

Answer key

  1. 168 sq cm
  2. 56 min
  3. ₹486
  4. Thursday
  5. 10
  6. 7/8
  7. 66
  8. 1
  9. 0.026
  10. 1
  11. 196 sq cm
  12. Thursday
  13. 20
  14. 35
  15. ₹189
  16. 80
  17. ₹12000
  18. 714
  19. ₹180
  20. 7
  21. Thursday
  22. 0.7
  23. 3 days
  24. 10 cm
  25. 10
  26. 45
  27. 30
  28. 20 days
  29. ₹2420
  30. 120
  31. 8
  32. 24
  33. 35
  34. 28
  35. 3.67
  36. 8
  37. 6 days
  38. 0.005
  39. 36
  40. Sunday

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