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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 524 · 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.The simple interest on ₹9500 for 2 years is ₹1140. What is the rate per year? (a) 6% (b) 5% (c) 12% (d) 7%
  2. 2.What is the value of the digit 5 in 58.714? (a) 0.5 (b) 0.05 (c) 5 (d) 50
  3. 3.In how many years will ₹4500 earn ₹540 simple interest at 4% per year? (a) 6 years (b) 3 years (c) 4 years (d) 2 years
  4. 4.2/3 + 3/6 = ? (a) 4/3 (b) 1 (c) 5/9 (d) 7/6
  5. 5.If 9x + 6 = 4x + 26, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  6. 6.If 7x + 3 = 2x + 43, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  7. 7.The simple interest on ₹2000 for 2 years is ₹120. What is the rate per year? (a) 6% (b) 3% (c) 2% (d) 4%
  8. 8.If 5x + 26 = 46, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  9. 9.Which of these numbers is divisible by 3? (a) 2053 (b) 2059 (c) 2057 (d) 2055
  10. 10.What is 1/9 of 18? (a) 4 (b) 16 (c) 2 (d) 3
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  12. 12.What is the simple interest on ₹3000 at 4% per year for 2 years? (a) ₹360 (b) ₹240 (c) ₹3240 (d) ₹120
  13. 13.Which fraction is greater: 1/3 or 3/7? (a) 3/7 (b) They are equal (c) 1/3
  14. 14.A teacher has 24 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 24 (c) 6 (d) 3
  15. 15.If 22 September is a Thursday, what day of the week is 16 October? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
  16. 16.What is the simple interest on ₹4000 at 2% per year for 4 years? (a) ₹400 (b) ₹80 (c) ₹4320 (d) ₹320
  17. 17.Two ribbons are 6 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 10 cm (c) 1 cm (d) 6 cm
  18. 18.What is the average of all the whole numbers from 22 to 50? (a) 37 (b) 36 (c) 14 (d) 28
  19. 19.Today is Monday. What day of the week will it be after 78 days? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  20. 20.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 1 (b) 2 (c) 7 (d) 4
  21. 21.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 17 cm (d) 10 cm
  22. 22.What is the remainder when 79 is divided by 3? (a) 2 (b) 1 (c) 0
  23. 23.Every pair follows the same rule: 2 : 9, 6 : 13, 7 : 14. What is 3 : ? (a) 9 (b) 11 (c) 10 (d) 12
  24. 24.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) 36 min (b) 4 min (c) 56 min (d) 224 min
  25. 25.If 18 June is a Wednesday, what day of the week is 14 July? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  26. 26.If 3x − 1 = 5, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  27. 27.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 27 sq cm (c) 12 sq cm (d) 36 sq cm
  28. 28.If 2 notebooks cost ₹20, how much do 3 notebooks cost? (a) ₹60 (b) ₹30 (c) ₹21 (d) ₹40
  29. 29.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  30. 30.What is the remainder when 599 is divided by 8? (a) 5 (b) 6 (c) 7 (d) 1
  31. 31.If 4x + 20 = 3x + 24, what is x? (a) 5 (b) 44 (c) 4 (d) 6
  32. 32.What is the smallest number you must add to 184 to make it divisible by 12? (a) 8 (b) 7 (c) 9 (d) 4
  33. 33.Which fraction is greater: 3/5 or 1/4? (a) They are equal (b) 1/4 (c) 3/5
  34. 34.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 14 cm (d) 28 cm
  35. 35.What is the smallest number you must add to 258 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  36. 36.If 14 May is a Tuesday, what day of the week is 20 June? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  37. 37.If 5 December is a Friday, what day of the week is 14 December? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  38. 38.If x/4 + 3 = 13, what is x? (a) 40 (b) 64 (c) 10 (d) 49
  39. 39.Today is Sunday. What day of the week will it be after 90 days? (a) Friday (b) Saturday (c) Monday (d) Sunday
  40. 40.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 21 sq cm (c) 38 sq cm (d) 42 sq cm

Answer key

  1. 6%
  2. 50
  3. 3 years
  4. 7/6
  5. 4
  6. 8
  7. 3%
  8. 4
  9. 2055
  10. 2
  11. 225 sq cm
  12. ₹240
  13. 3/7
  14. 6
  15. Sunday
  16. ₹320
  17. 2 cm
  18. 36
  19. Tuesday
  20. 1
  21. 20 cm
  22. 1
  23. 10
  24. 56 min
  25. Monday
  26. 2
  27. 27 sq cm
  28. ₹30
  29. 100 sq cm
  30. 7
  31. 4
  32. 8
  33. 3/5
  34. 28 cm
  35. 2
  36. Thursday
  37. Sunday
  38. 40
  39. Saturday
  40. 38 sq cm

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