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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 985 · 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.Two ribbons are 49 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) 14 cm (c) 49 cm (d) 7 cm
  2. 2.6.38 + 5.6 = ? (a) 12.08 (b) 11.88 (c) 6.94 (d) 11.98
  3. 3.If 9x + 5 = 131, what is x? (a) 14 (b) 15 (c) 13 (d) 126
  4. 4.A teacher has 66 pencils and 77 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 462 (b) 1 (c) 66 (d) 11
  5. 5.What is the smallest number you must add to 179 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  6. 6.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 29 (b) 9 (c) 62 (d) 10
  7. 7.A shopkeeper buys a toy for ₹900 and sells it for ₹990. What is his profit percent? (a) 15% (b) 90% (c) 5% (d) 10%
  8. 8.What is the remainder when 218 is divided by 5? (a) 1 (b) 3 (c) 4 (d) 2
  9. 9.Which of these numbers is divisible by 3? (a) 1262 (b) 1257 (c) 1258 (d) 1255
  10. 10.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 18 cm (c) 10 cm (d) 9 cm
  11. 11.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
  12. 12.What is the remainder when 241 is divided by 3? (a) 2 (b) 1 (c) 0
  13. 13.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 3 days (c) 4 days (d) 2 days
  14. 14.What is 1/5 of 30? (a) 24 (b) 7 (c) 6 (d) 12
  15. 15.If 17 July is a Monday, what day of the week is 5 August? (a) Saturday (b) Monday (c) Friday (d) Sunday
  16. 16.₹396 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹231 (b) ₹33 (c) ₹165 (d) ₹198
  17. 17.If 9x − 16 = 47, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  18. 18.What is the value of the digit 1 in 12.653? (a) 0.01 (b) 1 (c) 10 (d) 0.1
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  20. 20.1.95 + 5.5 = ? (a) 7.45 (b) 7.55 (c) 7.35 (d) 2.5
  21. 21.If 2 notebooks cost ₹38, how much do 3 notebooks cost? (a) ₹76 (b) ₹39 (c) ₹57 (d) ₹114
  22. 22.What is 2/3 of 6? (a) 5 (b) 6 (c) 2 (d) 4
  23. 23.What is 1/2 of 10? (a) 5 (b) 4 (c) 6 (d) 10
  24. 24.Which is the smallest: 0.3, 0.36, 0.216, 0.036? (a) 0.3 (b) 0.36 (c) 0.216 (d) 0.036
  25. 25.In how many years will ₹1000 earn ₹360 simple interest at 9% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
  26. 26.If 5x + 29 = 69, what is x? (a) 40 (b) 9 (c) 8 (d) 7
  27. 27.What is the simple interest on ₹2500 at 6% per year for 2 years? (a) ₹150 (b) ₹300 (c) ₹2800 (d) ₹450
  28. 28.If 6x − 5 = 31, what is x? (a) 7 (b) 36 (c) 5 (d) 6
  29. 29.Which is the greatest: 0.8, 0.038, 0.745, 0.81? (a) 0.8 (b) 0.038 (c) 0.745 (d) 0.81
  30. 30.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 20 (d) 8
  31. 31.If x/3 + 7 = 17, what is x? (a) 72 (b) 10 (c) 30 (d) 44
  32. 32.Which is the greatest: 0.31, 0.027, 0.3, 0.255? (a) 0.31 (b) 0.027 (c) 0.3 (d) 0.255
  33. 33.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 36%
  34. 34.Every pair follows the same rule: 6 : 41, 8 : 69, 9 : 86. What is 2 : ? (a) 9 (b) 10 (c) 37 (d) 8
  35. 35.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 32 cm (d) 16 cm
  36. 36.Today is Monday. What day of the week will it be after 93 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  37. 37.Today is Thursday. What day of the week will it be after 32 days? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  38. 38.Every pair follows the same rule: 2 : 4, 3 : 9, 5 : 25. What is 9 : ? (a) 81 (b) 11 (c) 18 (d) 57
  39. 39.₹132 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹55 (b) ₹11 (c) ₹77 (d) ₹66
  40. 40.What is the average of 52, 55, 68, 54, 60 and 83? (a) 62 (b) 61 (c) 64 (d) 63

Answer key

  1. 7 cm
  2. 11.98
  3. 14
  4. 11
  5. 1
  6. 9
  7. 10%
  8. 3
  9. 1257
  10. 9 cm
  11. 42 sq cm
  12. 1
  13. 3 days
  14. 6
  15. Saturday
  16. ₹231
  17. 7
  18. 10
  19. 49 sq cm
  20. 7.45
  21. ₹57
  22. 4
  23. 5
  24. 0.036
  25. 4 years
  26. 8
  27. ₹300
  28. 6
  29. 0.81
  30. 4
  31. 30
  32. 0.31
  33. 30%
  34. 9
  35. 32 cm
  36. Wednesday
  37. Monday
  38. 81
  39. ₹77
  40. 62

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