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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 533 · 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.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 63 min (b) 3 min (c) 189 min (d) 30 min
  2. 2.Which fraction is greater: 3/5 or 1/4? (a) 3/5 (b) 1/4 (c) They are equal
  3. 3.Which is the greatest: 0.63, 0.6, 0.076, 0.515? (a) 0.63 (b) 0.6 (c) 0.076 (d) 0.515
  4. 4.Every pair follows the same rule: 4 : 6, 5 : 8, 7 : 12. What is 6 : ? (a) 10 (b) 8 (c) 9 (d) 11
  5. 5.If 2 May is a Monday, what day of the week is 14 May? (a) Friday (b) Sunday (c) Saturday (d) Monday
  6. 6.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 19 sq cm (c) 38 sq cm (d) 64 sq cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  8. 8.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 55 (c) 34 (d) 7
  9. 9.What is 1/4 of 44? (a) 11 (b) 12 (c) 22 (d) 33
  10. 10.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 18 (c) 25 (d) 40
  11. 11.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 48 (c) 71 (d) 35
  12. 12.What is the remainder when 234 is divided by 8? (a) 1 (b) 2 (c) 6 (d) 3
  13. 13.Two ribbons are 18 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 18 cm (b) 12 cm (c) 6 cm (d) 3 cm
  14. 14.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 90 (b) 21 (c) 60 (d) 30
  15. 15.If 9x + 9 = 5x + 13, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  16. 16.If 7x + 3 = x + 69, what is x? (a) 10 (b) 13 (c) 11 (d) 12
  17. 17.If 5 July is a Tuesday, what day of the week is 13 July? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
  18. 18.What is the remainder when 161 is divided by 5? (a) 1 (b) 0 (c) 4 (d) 2
  19. 19.Which fraction is greater: 1/5 or 7/10? (a) 1/5 (b) 7/10 (c) They are equal
  20. 20.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 91 (b) 48 (c) 54 (d) 90
  21. 21.Which of these numbers is divisible by 11? (a) 781 (b) 802 (c) 783 (d) 778
  22. 22.Which of these numbers is divisible by 4? (a) 3242 (b) 3244 (c) 3245 (d) 3250
  23. 23.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 4 cm (c) 12 cm (d) 3 cm
  24. 24.What is the simple interest on ₹8500 at 9% per year for 2 years? (a) ₹10030 (b) ₹765 (c) ₹2295 (d) ₹1530
  25. 25.If x/5 + 10 = 14, what is x? (a) 4 (b) 120 (c) 20 (d) 60
  26. 26.₹10000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹12000 (b) ₹10400 (c) ₹1600 (d) ₹11600
  27. 27.1.46 + 2.4 = ? (a) 3.76 (b) 3.96 (c) 1.7 (d) 3.86
  28. 28.Which is the greatest: 0.8, 0.88, 0.096, 0.732? (a) 0.8 (b) 0.88 (c) 0.096 (d) 0.732
  29. 29.What is the average of all the whole numbers from 57 to 95? (a) 76 (b) 19 (c) 77 (d) 38
  30. 30.Which fraction is greater: 1/10 or 3/4? (a) They are equal (b) 1/10 (c) 3/4
  31. 31.What is the average of all the whole numbers from 35 to 61? (a) 26 (b) 48 (c) 13 (d) 49
  32. 32.What is the simple interest on ₹1000 at 3% per year for 3 years? (a) ₹30 (b) ₹120 (c) ₹1090 (d) ₹90
  33. 33.What is the smallest number you must add to 415 to make it divisible by 12? (a) 7 (b) 5 (c) 4 (d) 6
  34. 34.If x/4 + 10 = 22, what is x? (a) 12 (b) 48 (c) 78 (d) 128
  35. 35.2/4 + 1/9 = ? (a) 23/36 (b) 3/13 (c) 7/12 (d) 11/18
  36. 36.A teacher has 12 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 12 (c) 4 (d) 2
  37. 37.Every pair follows the same rule: 2 : 1, 3 : 6, 8 : 61. What is 5 : ? (a) 21 (b) 28 (c) 23 (d) 22
  38. 38.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 21 cm (c) 27 cm (d) 24 cm
  39. 39.4.95 + 5.7 = ? (a) 10.55 (b) 10.75 (c) 10.65 (d) 5.52
  40. 40.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 65 (b) 53 (c) 47 (d) 24

Answer key

  1. 63 min
  2. 3/5
  3. 0.63
  4. 10
  5. Saturday
  6. 48 sq cm
  7. 121 sq cm
  8. 34
  9. 11
  10. 40
  11. 71
  12. 2
  13. 6 cm
  14. 30
  15. 1
  16. 11
  17. Wednesday
  18. 1
  19. 7/10
  20. 90
  21. 781
  22. 3244
  23. 2 cm
  24. ₹1530
  25. 20
  26. ₹11600
  27. 3.86
  28. 0.88
  29. 76
  30. 3/4
  31. 48
  32. ₹90
  33. 5
  34. 48
  35. 11/18
  36. 4
  37. 22
  38. 24 cm
  39. 10.65
  40. 65

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