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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 211 · 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 value of the digit 7 in 87.134? (a) 70 (b) 0.07 (c) 7 (d) 0.7
  2. 2.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 17 days (b) 16 days (c) 12 days (d) 4 days
  3. 3.Which is the smallest: 0.329, 0.016, 0.42, 0.4? (a) 0.329 (b) 0.016 (c) 0.42 (d) 0.4
  4. 4.What is the smallest number you must add to 691 to make it divisible by 10? (a) 1 (b) 8 (c) 9 (d) 7
  5. 5.If 5 mangoes cost ₹90, how much do 6 mangoes cost? (a) ₹91 (b) ₹540 (c) ₹126 (d) ₹108
  6. 6.Which is the greatest: 0.42, 0.4, 0.053, 0.343? (a) 0.42 (b) 0.4 (c) 0.053 (d) 0.343
  7. 7.₹243 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹27 (b) ₹243 (c) ₹217 (d) ₹216
  8. 8.If 8 July is a Wednesday, what day of the week is 18 July? (a) Sunday (b) Monday (c) Friday (d) Saturday
  9. 9.If 1 May is a Tuesday, what day of the week is 15 May? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  10. 10.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 22 sq cm (c) 44 sq cm (d) 72 sq cm
  11. 11.If x/3 + 1 = 6, what is x? (a) 17 (b) 21 (c) 15 (d) 5
  12. 12.The simple interest on ₹2000 for 2 years is ₹160. What is the rate per year? (a) 5% (b) 8% (c) 3% (d) 4%
  13. 13.Every pair follows the same rule: 3 : 14, 7 : 22, 8 : 24. What is 4 : ? (a) 15 (b) 17 (c) 16 (d) 18
  14. 14.₹9500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹10925 (b) ₹1140 (c) ₹10640 (d) ₹9785
  15. 15.Every pair follows the same rule: 2 : 2, 7 : 47, 8 : 62. What is 3 : ? (a) 3 (b) 7 (c) 8 (d) 6
  16. 16.What is 5/7 of 21? (a) 18 (b) 3 (c) 6 (d) 15
  17. 17.A teacher has 54 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 378 (b) 54 (c) 9 (d) 3
  18. 18.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 2 days (c) 3 days (d) 11 days
  19. 19.If 20 November is a Monday, what day of the week is 15 December? (a) Friday (b) Saturday (c) Sunday (d) Thursday
  20. 20.If x/4 + 12 = 15, what is x? (a) 108 (b) 3 (c) 48 (d) 12
  21. 21.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 12 (b) 54 (c) 86 (d) 44
  22. 22.What is the average of all the whole numbers from 46 to 52? (a) 49 (b) 6 (c) 50 (d) 3
  23. 23.What is the average of all the whole numbers from 41 to 49? (a) 45 (b) 4 (c) 46 (d) 8
  24. 24.If 8x + 7 = 23, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  25. 25.2/3 + 2/6 = ? (a) 1 (b) 4/9 (c) 7/6 (d) 5/6
  26. 26.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  27. 27.A teacher has 4 pencils and 6 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 4 (d) 1
  28. 28.A bag marked ₹1260 is sold at a 50% discount. What is its selling price? (a) ₹631 (b) ₹1890 (c) ₹630 (d) ₹1210
  29. 29.If 9x + 22 = 148, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  30. 30.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 80 cm (d) 28 cm
  31. 31.What is the value of the digit 8 in 28.569? (a) 0.08 (b) 80 (c) 0.8 (d) 8
  32. 32.4 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 16 days (b) 12 days (c) 4 days (d) 5 days
  33. 33.7.46 + 1.6 = ? (a) 8.96 (b) 9.16 (c) 7.62 (d) 9.06
  34. 34.Which of these numbers is divisible by 6? (a) 808 (b) 803 (c) 796 (d) 798
  35. 35.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 33 sq cm (d) 22 sq cm
  36. 36.What is the value of the digit 7 in 97.624? (a) 0.7 (b) 70 (c) 7 (d) 0.07
  37. 37.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 3 min (c) 15 min (d) 18 min
  38. 38.If 19 November is a Monday, what day of the week is 9 December? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
  39. 39.₹7500 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹11100 (b) ₹8100 (c) ₹3000 (d) ₹10500
  40. 40.4/7 + 2/3 = ? (a) 9/7 (b) 25/21 (c) 3/5 (d) 26/21

Answer key

  1. 7
  2. 16 days
  3. 0.016
  4. 9
  5. ₹108
  6. 0.42
  7. ₹216
  8. Saturday
  9. Tuesday
  10. 72 sq cm
  11. 15
  12. 4%
  13. 16
  14. ₹10640
  15. 7
  16. 15
  17. 9
  18. 3 days
  19. Friday
  20. 12
  21. 54
  22. 49
  23. 45
  24. 2
  25. 1
  26. 64 sq cm
  27. 2
  28. ₹630
  29. 14
  30. 36 cm
  31. 8
  32. 4 days
  33. 9.06
  34. 798
  35. 22 sq cm
  36. 7
  37. 18 min
  38. Sunday
  39. ₹10500
  40. 26/21

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