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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 450 · 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.Every pair follows the same rule: 6 : 26, 8 : 36, 9 : 41. What is 2 : ? (a) 5 (b) 22 (c) 6 (d) 7
  2. 2.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 165 sq cm (d) 150 sq cm
  3. 3.Two ribbons are 10 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 2 cm (c) 10 cm (d) 1 cm
  4. 4.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 9 (c) 42 (d) 20
  5. 5.If 3 December is a Friday, what day of the week is 12 December? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  6. 6.₹192 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹192 (b) ₹144 (c) ₹96 (d) ₹48
  7. 7.If 1 May is a Friday, what day of the week is 11 May? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  8. 8.If 11 October is a Monday, what day of the week is 19 October? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  9. 9.If 2 kites cost ₹22, how much do 4 kites cost? (a) ₹24 (b) ₹88 (c) ₹55 (d) ₹44
  10. 10.What is the value of the digit 6 in 63.759? (a) 6 (b) 60 (c) 0.06 (d) 0.6
  11. 11.What is 4/9 of 99? (a) 45 (b) 11 (c) 55 (d) 44
  12. 12.What is the remainder when 740 is divided by 12? (a) 9 (b) 8 (c) 4 (d) 7
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  14. 14.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 15 sq cm (d) 54 sq cm
  15. 15.What is the remainder when 258 is divided by 4? (a) 0 (b) 2 (c) 3 (d) 1
  16. 16.If 8x − 27 = 53, what is x? (a) 80 (b) 9 (c) 11 (d) 10
  17. 17.What is 25% of 200? (a) 50 (b) 500 (c) 100 (d) 150
  18. 18.What is the average of all the whole numbers from 7 to 21? (a) 14 (b) 15 (c) 13 (d) 7
  19. 19.Which fraction is greater: 3/4 or 4/9? (a) 3/4 (b) They are equal (c) 4/9
  20. 20.What is the simple interest on ₹4000 at 4% per year for 5 years? (a) ₹800 (b) ₹960 (c) ₹160 (d) ₹4800
  21. 21.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
  22. 22.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 20 cm (d) 13 cm
  23. 23.What is the units digit of 2^26? (a) 4 (b) 2 (c) 6 (d) 8
  24. 24.What is 10% of 740? (a) 74 (b) 740 (c) 148 (d) 666
  25. 25.Which fraction is greater: 3/5 or 1/3? (a) They are equal (b) 3/5 (c) 1/3
  26. 26.If 14 April is a Tuesday, what day of the week is 15 May? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  27. 27.If 6x + 10 = 4x + 20, what is x? (a) 5 (b) 6 (c) 1 (d) 15
  28. 28.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 66 cm (c) 34 cm (d) 28 cm
  29. 29.If 4x + 14 = 2x + 22, what is x? (a) 5 (b) 4 (c) 18 (d) 6
  30. 30.If 8x − 13 = 43, what is x? (a) 7 (b) 6 (c) 56 (d) 8
  31. 31.What is the average of all the whole numbers from 53 to 61? (a) 58 (b) 4 (c) 8 (d) 57
  32. 32.What is 3/4 of 8? (a) 8 (b) 7 (c) 6 (d) 2
  33. 33.What is 1/2 of 6? (a) 3 (b) 6 (c) 4 (d) 2
  34. 34.What is 40% of 360? (a) 144 (b) 1440 (c) 216 (d) 288
  35. 35.If 5 July is a Wednesday, what day of the week is 13 July? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  36. 36.Every pair follows the same rule: 4 : 13, 7 : 46, 8 : 61. What is 3 : ? (a) 7 (b) 5 (c) 12 (d) 6
  37. 37.If 4 May is a Thursday, what day of the week is 16 May? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  38. 38.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 44 (b) 20 (c) 32 (d) 28
  39. 39.If x/2 + 3 = 14, what is x? (a) 22 (b) 34 (c) 11 (d) 25
  40. 40.Every pair follows the same rule: 3 : 9, 4 : 16, 9 : 81. What is 2 : ? (a) 5 (b) 8 (c) 6 (d) 4

Answer key

  1. 6
  2. 150 sq cm
  3. 2 cm
  4. 8
  5. Sunday
  6. ₹144
  7. Monday
  8. Tuesday
  9. ₹44
  10. 60
  11. 44
  12. 8
  13. 196 sq cm
  14. 54 sq cm
  15. 2
  16. 10
  17. 50
  18. 14
  19. 3/4
  20. ₹800
  21. 50 sq cm
  22. 26 cm
  23. 4
  24. 74
  25. 3/5
  26. Friday
  27. 5
  28. 34 cm
  29. 4
  30. 7
  31. 57
  32. 6
  33. 3
  34. 144
  35. Thursday
  36. 6
  37. Tuesday
  38. 44
  39. 22
  40. 4

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