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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 128 · 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 the simple interest on ₹7000 at 4% per year for 5 years? (a) ₹280 (b) ₹8400 (c) ₹1400 (d) ₹1680
  2. 2.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 14 (c) 13 (d) 18
  3. 3.The simple interest on ₹7000 for 4 years is ₹2520. What is the rate per year? (a) 10% (b) 36% (c) 8% (d) 9%
  4. 4.What is 7/8 of 48? (a) 42 (b) 6 (c) 48 (d) 43
  5. 5.What is the average of all the whole numbers from 44 to 76? (a) 60 (b) 16 (c) 32 (d) 61
  6. 6.Which fraction is greater: 4/5 or 1/4? (a) 1/4 (b) They are equal (c) 4/5
  7. 7.1/3 + 1/2 = ? (a) 5/6 (b) 1 (c) 2/3 (d) 2/5
  8. 8.Which fraction is greater: 7/8 or 4/11? (a) They are equal (b) 7/8 (c) 4/11
  9. 9.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 80 (c) 40 (d) 160
  10. 10.What is 1/2 of 8? (a) 8 (b) 4 (c) 5 (d) 3
  11. 11.Which of these numbers is divisible by 8? (a) 1136 (b) 1132 (c) 1139 (d) 1147
  12. 12.A teacher has 55 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 44 (b) 1 (c) 11 (d) 55
  13. 13.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 100 cm (d) 45 cm
  14. 14.What is 2/3 of 21? (a) 7 (b) 14 (c) 15 (d) 21
  15. 15.What is the units digit of 9^57? (a) 1 (b) 7 (c) 9 (d) 8
  16. 16.Which fraction is greater: 2/7 or 1/5? (a) 1/5 (b) They are equal (c) 2/7
  17. 17.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 100 (b) 50 (c) 35 (d) 250
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  19. 19.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 18 (b) 28 (c) 56 (d) 29
  20. 20.Every pair follows the same rule: 2 : 3, 6 : 35, 7 : 48. What is 5 : ? (a) 22 (b) 6 (c) 24 (d) 25
  21. 21.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 18 (c) 6 (d) 3
  22. 22.The simple interest on ₹4500 for 3 years is ₹1080. What is the rate per year? (a) 9% (b) 7% (c) 24% (d) 8%
  23. 23.If 9 notebooks cost ₹72, how much do 8 notebooks cost? (a) ₹71 (b) ₹576 (c) ₹64 (d) ₹72
  24. 24.What is 1/9 of 54? (a) 48 (b) 7 (c) 12 (d) 6
  25. 25.Two ribbons are 40 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 4 cm (c) 8 cm (d) 40 cm
  26. 26.If 3x − 27 = 12, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  27. 27.Two ribbons are 28 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 35 cm (c) 28 cm (d) 7 cm
  28. 28.9 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 1 day (c) 10 days (d) 9 days
  29. 29.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 34 cm (c) 52 cm (d) 17 cm
  30. 30.₹126 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹45 (b) ₹81 (c) ₹63 (d) ₹9
  31. 31.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 27%
  32. 32.What is 40% of 500? (a) 2000 (b) 300 (c) 200 (d) 400
  33. 33.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 12 days (d) 11 days
  34. 34.Every pair follows the same rule: 5 : 29, 6 : 33, 7 : 37. What is 9 : ? (a) 46 (b) 33 (c) 44 (d) 45
  35. 35.Every pair follows the same rule: 2 : 14, 3 : 21, 5 : 35. What is 9 : ? (a) 63 (b) 21 (c) 64 (d) 62
  36. 36.Which of these numbers is divisible by 3? (a) 623 (b) 618 (c) 617 (d) 619
  37. 37.Two ribbons are 9 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 9 cm (c) 1 cm (d) 3 cm
  38. 38.If 8 March is a Tuesday, what day of the week is 19 March? (a) Saturday (b) Sunday (c) Monday (d) Friday
  39. 39.Every pair follows the same rule: 4 : 21, 5 : 30, 9 : 86. What is 8 : ? (a) 72 (b) 69 (c) 25 (d) 70
  40. 40.If x/6 + 4 = 11, what is x? (a) 62 (b) 42 (c) 90 (d) 7

Answer key

  1. ₹1400
  2. 13
  3. 9%
  4. 42
  5. 60
  6. 4/5
  7. 5/6
  8. 7/8
  9. 40
  10. 4
  11. 1136
  12. 11
  13. 50 cm
  14. 14
  15. 9
  16. 2/7
  17. 50
  18. 169 sq cm
  19. 28
  20. 24
  21. 3
  22. 8%
  23. ₹64
  24. 6
  25. 8 cm
  26. 13
  27. 7 cm
  28. 9 days
  29. 34 cm
  30. ₹81
  31. 5%
  32. 200
  33. 10 days
  34. 45
  35. 63
  36. 618
  37. 3 cm
  38. Saturday
  39. 69
  40. 42

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