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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 280 · 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.What is 5% of 260? (a) 26 (b) 247 (c) 130 (d) 13
  2. 2.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 45 (b) 200 (c) 100 (d) 500
  3. 3.If 3x + 19 = 55, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  4. 4.A bag marked ₹2000 is sold at a 15% discount. What is its selling price? (a) ₹300 (b) ₹1700 (c) ₹2300 (d) ₹1985
  5. 5.What is 2/9 of 54? (a) 12 (b) 18 (c) 6 (d) 42
  6. 6.If 9x − 10 = 107, what is x? (a) 12 (b) 117 (c) 14 (d) 13
  7. 7.Every pair follows the same rule: 2 : 6, 3 : 9, 7 : 21. What is 5 : ? (a) 16 (b) 14 (c) 15 (d) 9
  8. 8.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 48 sq cm (d) 36 sq cm
  9. 9.A teacher has 28 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 4 (c) 224 (d) 28
  10. 10.A teacher has 18 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 45 (b) 18 (c) 3 (d) 9
  11. 11.Two ribbons are 30 cm and 50 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 20 cm (c) 10 cm (d) 30 cm
  12. 12.What is the value of the digit 3 in 34.629? (a) 0.03 (b) 30 (c) 3 (d) 0.3
  13. 13.What is 5% of 540? (a) 54 (b) 270 (c) 513 (d) 27
  14. 14.Every pair follows the same rule: 5 : 26, 7 : 50, 8 : 65. What is 4 : ? (a) 5 (b) 17 (c) 18 (d) 25
  15. 15.What is the value of the digit 4 in 42.685? (a) 0.04 (b) 4 (c) 0.4 (d) 40
  16. 16.What is 20% of 460? (a) 920 (b) 92 (c) 184 (d) 368
  17. 17.Which of these numbers is divisible by 11? (a) 2629 (b) 2619 (c) 2635 (d) 2645
  18. 18.What is the value of the digit 1 in 19.583? (a) 0.1 (b) 0.01 (c) 1 (d) 10
  19. 19.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 90 (b) 135 (c) 45 (d) 24
  20. 20.Which fraction is greater: 1/8 or 1/3? (a) They are equal (b) 1/8 (c) 1/3
  21. 21.What is the average of all the whole numbers from 23 to 57? (a) 41 (b) 17 (c) 34 (d) 40
  22. 22.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 320 min (d) 80 min
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  24. 24.7.25 + 9.3 = ? (a) 8.18 (b) 16.65 (c) 16.45 (d) 16.55
  25. 25.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 100 (c) 25 (d) 24
  26. 26.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
  27. 27.In how many years will ₹8000 earn ₹1440 simple interest at 9% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  28. 28.If 3x + 23 = 29, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  29. 29.What is the units digit of 8^42? (a) 2 (b) 4 (c) 8 (d) 6
  30. 30.If 13 November is a Tuesday, what day of the week is 20 December? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  31. 31.The simple interest on ₹6000 for 2 years is ₹960. What is the rate per year? (a) 9% (b) 8% (c) 16% (d) 7%
  32. 32.Every pair follows the same rule: 5 : 10, 6 : 13, 8 : 19. What is 7 : ? (a) 12 (b) 17 (c) 16 (d) 14
  33. 33.Today is Saturday. What day of the week will it be after 37 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
  34. 34.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 140 cm (c) 38 cm (d) 24 cm
  35. 35.What is the value of the digit 5 in 45.716? (a) 0.5 (b) 5 (c) 50 (d) 0.05
  36. 36.What is the average of all the whole numbers from 9 to 45? (a) 18 (b) 36 (c) 28 (d) 27
  37. 37.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 54 (b) 36 (c) 15 (d) 18
  38. 38.What is 15% of 820? (a) 1230 (b) 246 (c) 123 (d) 697
  39. 39.Every pair follows the same rule: 2 : 14, 3 : 21, 5 : 35. What is 9 : ? (a) 21 (b) 62 (c) 64 (d) 63
  40. 40.1/2 + 1/2 = ? (a) 2 (b) 3/2 (c) 1/2 (d) 1

Answer key

  1. 13
  2. 100
  3. 12
  4. ₹1700
  5. 12
  6. 13
  7. 15
  8. 36 sq cm
  9. 4
  10. 9
  11. 10 cm
  12. 30
  13. 27
  14. 17
  15. 40
  16. 92
  17. 2629
  18. 10
  19. 45
  20. 1/3
  21. 40
  22. 80 min
  23. 121 sq cm
  24. 16.55
  25. 24
  26. 56 sq cm
  27. 2 years
  28. 2
  29. 4
  30. Thursday
  31. 8%
  32. 16
  33. Monday
  34. 48 cm
  35. 5
  36. 27
  37. 18
  38. 123
  39. 63
  40. 1

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