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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 609 · 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.If 25 May is a Wednesday, what day of the week is 5 June? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  2. 2.What is the simple interest on ₹3500 at 2% per year for 5 years? (a) ₹70 (b) ₹350 (c) ₹420 (d) ₹3850
  3. 3.Which of these numbers is divisible by 9? (a) 4131 (b) 4128 (c) 4138 (d) 4147
  4. 4.Today is Thursday. What day of the week will it be after 67 days? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  5. 5.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 29 (b) 59 (c) 22 (d) 23
  6. 6.If 4x − 4 = 48, what is x? (a) 13 (b) 14 (c) 11 (d) 52
  7. 7.What is the value of the digit 6 in 96.342? (a) 6 (b) 0.06 (c) 60 (d) 0.6
  8. 8.Every pair follows the same rule: 3 : 8, 4 : 15, 9 : 80. What is 6 : ? (a) 36 (b) 35 (c) 41 (d) 11
  9. 9.If 3x − 15 = 21, what is x? (a) 13 (b) 12 (c) 2 (d) 36
  10. 10.What is 1/4 of 48? (a) 24 (b) 12 (c) 36 (d) 13
  11. 11.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 26 cm (d) 13 cm
  12. 12.What is 50% of 700? (a) 350 (b) 700 (c) 3500 (d) 351
  13. 13.What is the remainder when 225 is divided by 12? (a) 3 (b) 9 (c) 8 (d) 10
  14. 14.If 8x + 1 = 65, what is x? (a) 64 (b) 9 (c) 8 (d) 7
  15. 15.What is the average of 61, 56, 74, 52 and 92? (a) 66 (b) 68 (c) 67 (d) 69
  16. 16.If 13 August is a Wednesday, what day of the week is 29 August? (a) Friday (b) Thursday (c) Sunday (d) Saturday
  17. 17.If x/5 + 3 = 8, what is x? (a) 5 (b) 25 (c) 55 (d) 37
  18. 18.What is the value of the digit 1 in 97.152? (a) 1 (b) 0.001 (c) 0.1 (d) 0.01
  19. 19.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 7 (b) 38 (c) 32 (d) 63
  20. 20.A teacher has 10 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 5 (c) 1 (d) 10
  21. 21.What is 60% of 360? (a) 2160 (b) 432 (c) 216 (d) 144
  22. 22.₹3500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹5180 (b) ₹4760 (c) ₹1260 (d) ₹3920
  23. 23.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 3 min (c) 15 min (d) 54 min
  24. 24.Every pair follows the same rule: 3 : 6, 6 : 33, 8 : 61. What is 7 : ? (a) 47 (b) 46 (c) 14 (d) 10
  25. 25.If 1 July is a Monday, what day of the week is 13 July? (a) Sunday (b) Saturday (c) Monday (d) Friday
  26. 26.₹171 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹152 (b) ₹38 (c) ₹19 (d) ₹133
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  28. 28.If 13 July is a Friday, what day of the week is 20 August? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
  29. 29.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
  30. 30.Which fraction is greater: 9/10 or 2/7? (a) 9/10 (b) 2/7 (c) They are equal
  31. 31.What is the remainder when 641 is divided by 12? (a) 7 (b) 6 (c) 4 (d) 5
  32. 32.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 28% (b) 10% (c) 5% (d) 6%
  33. 33.What is 25% of 160? (a) 120 (b) 40 (c) 400 (d) 80
  34. 34.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 14 cm (c) 8 cm (d) 7 cm
  35. 35.What is the average of 65, 65, 53, 63, 46 and 14? (a) 50 (b) 53 (c) 51 (d) 52
  36. 36.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 7 (b) 4 (c) 1 (d) 2
  37. 37.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 133 cm (c) 9 cm (d) 16 cm
  38. 38.Every pair follows the same rule: 3 : 5, 4 : 7, 5 : 9. What is 6 : ? (a) 10 (b) 12 (c) 11 (d) 8
  39. 39.If 9x + 14 = 50, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  40. 40.Which fraction is greater: 1/8 or 1/4? (a) 1/4 (b) 1/8 (c) They are equal

Answer key

  1. Sunday
  2. ₹350
  3. 4131
  4. Monday
  5. 22
  6. 13
  7. 6
  8. 35
  9. 12
  10. 12
  11. 26 cm
  12. 350
  13. 9
  14. 8
  15. 67
  16. Friday
  17. 25
  18. 0.1
  19. 38
  20. 5
  21. 216
  22. ₹4760
  23. 18 min
  24. 46
  25. Saturday
  26. ₹133
  27. 121 sq cm
  28. Monday
  29. 42 sq cm
  30. 9/10
  31. 5
  32. 5%
  33. 40
  34. 7 cm
  35. 51
  36. 1
  37. 8 cm
  38. 11
  39. 4
  40. 1/4

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