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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 191 · 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 5x + 2 = 12, what is x? (a) 1 (b) 3 (c) 2 (d) 10
  2. 2.If 3 pens cost ₹54, how much do 9 pens cost? (a) ₹60 (b) ₹162 (c) ₹180 (d) ₹486
  3. 3.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 133 cm (c) 8 cm (d) 16 cm
  4. 4.Every pair follows the same rule: 2 : 18, 3 : 27, 4 : 36. What is 5 : ? (a) 45 (b) 44 (c) 21 (d) 46
  5. 5.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹435 (b) ₹1305 (c) ₹1715 (d) ₹2175
  6. 6.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  7. 7.What is the units digit of 9^41? (a) 9 (b) 7 (c) 8 (d) 1
  8. 8.What is 7/8 of 80? (a) 70 (b) 80 (c) 10 (d) 71
  9. 9.If 5 notebooks cost ₹115, how much do 7 notebooks cost? (a) ₹805 (b) ₹161 (c) ₹117 (d) ₹184
  10. 10.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 33 min (c) 3 min (d) 270 min
  11. 11.If 2x + 17 = 23, what is x? (a) 3 (b) 20 (c) 4 (d) 6
  12. 12.What is the average of 45, 57, 37, 35, 37 and 65? (a) 45 (b) 47 (c) 46 (d) 48
  13. 13.What is the value of the digit 6 in 69.583? (a) 6 (b) 0.6 (c) 60 (d) 0.06
  14. 14.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 5 days (d) 9 days
  15. 15.8 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 52 days (b) 53 days (c) 7 days (d) 19 days
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  17. 17.Every pair follows the same rule: 2 : 7, 4 : 19, 8 : 67. What is 7 : ? (a) 12 (b) 53 (c) 52 (d) 55
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  19. 19.1/4 + 1/2 = ? (a) 1/3 (b) 1 (c) 1/2 (d) 3/4
  20. 20.Which fraction is greater: 11/12 or 4/11? (a) 11/12 (b) They are equal (c) 4/11
  21. 21.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 700 min (b) 140 min (c) 55 min (d) 5 min
  22. 22.In how many years will ₹8000 earn ₹3600 simple interest at 9% per year? (a) 10 years (b) 4 years (c) 6 years (d) 5 years
  23. 23.A bag marked ₹980 is sold at a 10% discount. What is its selling price? (a) ₹970 (b) ₹882 (c) ₹1078 (d) ₹98
  24. 24.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 30 min (c) 25 min (d) 5 min
  25. 25.1.46 + 8.5 = ? (a) 2.31 (b) 10.06 (c) 9.96 (d) 9.86
  26. 26.What is the average of all the whole numbers from 57 to 69? (a) 63 (b) 6 (c) 64 (d) 12
  27. 27.In how many years will ₹4500 earn ₹1620 simple interest at 9% per year? (a) 4 years (b) 5 years (c) 3 years (d) 8 years
  28. 28.If 2 July is a Friday, what day of the week is 15 July? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  29. 29.What is 1/4 of 12? (a) 9 (b) 6 (c) 3 (d) 4
  30. 30.Which of these numbers is divisible by 9? (a) 6886 (b) 6902 (c) 6885 (d) 6884
  31. 31.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 32 cm (c) 21 cm (d) 110 cm
  32. 32.What is the simple interest on ₹2500 at 11% per year for 4 years? (a) ₹3600 (b) ₹275 (c) ₹1375 (d) ₹1100
  33. 33.What is the value of the digit 6 in 63.428? (a) 0.06 (b) 60 (c) 0.6 (d) 6
  34. 34.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 42 (c) 84 (d) 20
  35. 35.The simple interest on ₹2500 for 5 years is ₹625. What is the rate per year? (a) 25% (b) 4% (c) 5% (d) 6%
  36. 36.4.95 + 5.5 = ? (a) 5.5 (b) 10.55 (c) 10.45 (d) 10.35
  37. 37.Every pair follows the same rule: 2 : 9, 5 : 30, 9 : 86. What is 4 : ? (a) 11 (b) 21 (c) 16 (d) 22
  38. 38.What is 1/7 of 77? (a) 66 (b) 22 (c) 12 (d) 11
  39. 39.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 126 (c) 30 (d) 63
  40. 40.What is the remainder when 222 is divided by 12? (a) 6 (b) 5 (c) 8 (d) 7

Answer key

  1. 2
  2. ₹162
  3. 8 cm
  4. 45
  5. ₹1305
  6. 64 sq cm
  7. 9
  8. 70
  9. ₹161
  10. 90 min
  11. 3
  12. 46
  13. 60
  14. 14 days
  15. 52 days
  16. 100 sq cm
  17. 52
  18. 36 sq cm
  19. 3/4
  20. 11/12
  21. 140 min
  22. 5 years
  23. ₹882
  24. 30 min
  25. 9.96
  26. 63
  27. 4 years
  28. Thursday
  29. 3
  30. 6885
  31. 42 cm
  32. ₹1100
  33. 60
  34. 42
  35. 5%
  36. 10.45
  37. 21
  38. 11
  39. 63
  40. 6

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