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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 860 · 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 units digit of 2^11? (a) 6 (b) 4 (c) 8 (d) 2
  2. 2.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%
  3. 3.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 54 sq cm (d) 72 sq cm
  4. 4.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 22 sq cm (c) 44 sq cm (d) 85 sq cm
  5. 5.What is the remainder when 624 is divided by 9? (a) 6 (b) 2 (c) 4 (d) 3
  6. 6.1/2 + 8/9 = ? (a) 13/9 (b) 9/11 (c) 4/3 (d) 25/18
  7. 7.If 6x − 40 = 14, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  8. 8.Today is Wednesday. What day of the week will it be after 11 days? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
  9. 9.What is the value of the digit 9 in 93.651? (a) 0.09 (b) 0.9 (c) 90 (d) 9
  10. 10.Which of these numbers is divisible by 8? (a) 1586 (b) 1596 (c) 1584 (d) 1582
  11. 11.5.88 + 4.3 = ? (a) 10.28 (b) 6.31 (c) 10.18 (d) 10.08
  12. 12.Every pair follows the same rule: 2 : 8, 3 : 12, 6 : 24. What is 7 : ? (a) 29 (b) 28 (c) 27 (d) 13
  13. 13.₹2500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹2700 (b) ₹1000 (c) ₹3700 (d) ₹3500
  14. 14.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 3 days (c) 5 days (d) 4 days
  15. 15.If x/3 + 13 = 21, what is x? (a) 50 (b) 24 (c) 8 (d) 102
  16. 16.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 20 (b) 33 (c) 4 (d) 17
  17. 17.If 5x + 14 = x + 42, what is x? (a) 7 (b) 8 (c) 9 (d) 14
  18. 18.Every pair follows the same rule: 2 : 11, 7 : 56, 9 : 88. What is 6 : ? (a) 44 (b) 40 (c) 43 (d) 15
  19. 19.What is the value of the digit 5 in 51.462? (a) 0.05 (b) 0.5 (c) 5 (d) 50
  20. 20.What is the average of 54, 57, 64 and 85? (a) 65 (b) 67 (c) 64 (d) 66
  21. 21.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 24 sq cm (d) 36 sq cm
  22. 22.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 12 cm (c) 198 cm (d) 24 cm
  23. 23.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 64 cm (c) 240 cm (d) 52 cm
  24. 24.In how many years will ₹3000 earn ₹360 simple interest at 4% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
  25. 25.A shopkeeper buys a toy for ₹820 and sells it for ₹1025. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  26. 26.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 21%
  27. 27.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 28 sq cm (c) 56 sq cm (d) 204 sq cm
  28. 28.4/6 + 3/8 = ? (a) 13/12 (b) 25/24 (c) 1 (d) 1/2
  29. 29.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 41 cm (d) 119 cm
  30. 30.What is the average of 25, 12, 42 and 29? (a) 26 (b) 27 (c) 28 (d) 36
  31. 31.If 26 June is a Wednesday, what day of the week is 10 July? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
  32. 32.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 126 (b) 378 (c) 252 (d) 39
  33. 33.What is the average of 42, 39, 25 and 6? (a) 28 (b) 27 (c) 30 (d) 29
  34. 34.What is the remainder when 463 is divided by 11? (a) 0 (b) 2 (c) 1 (d) 10
  35. 35.If 5x − 39 = 11, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  36. 36.What is 3/4 of 20? (a) 16 (b) 5 (c) 20 (d) 15
  37. 37.If 2x + 30 = 54, what is x? (a) 12 (b) 24 (c) 13 (d) 42
  38. 38.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 21 (b) 40 (c) 14 (d) 20
  39. 39.What is the average of 65, 68, 61, 55, 63 and 90? (a) 67 (b) 66 (c) 69 (d) 68
  40. 40.If 5x − 13 = 17, what is x? (a) 5 (b) 30 (c) 7 (d) 6

Answer key

  1. 8
  2. 30%
  3. 54 sq cm
  4. 85 sq cm
  5. 3
  6. 25/18
  7. 9
  8. Sunday
  9. 90
  10. 1584
  11. 10.18
  12. 28
  13. ₹3500
  14. 5 days
  15. 24
  16. 20
  17. 7
  18. 43
  19. 50
  20. 65
  21. 24 sq cm
  22. 12 cm
  23. 64 cm
  24. 3 years
  25. 25%
  26. 20%
  27. 187 sq cm
  28. 25/24
  29. 48 cm
  30. 27
  31. Wednesday
  32. 126
  33. 28
  34. 1
  35. 10
  36. 15
  37. 12
  38. 20
  39. 67
  40. 6

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