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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 352 · 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 3^40? (a) 3 (b) 9 (c) 7 (d) 1
  2. 2.If 7x − 10 = 11, what is x? (a) 4 (b) 2 (c) 3 (d) 21
  3. 3.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 30 (b) 15 (c) 14 (d) 64
  4. 4.What is 75% of 660? (a) 165 (b) 495 (c) 990 (d) 4950
  5. 5.3.56 + 9.5 = ? (a) 12.96 (b) 4.51 (c) 13.06 (d) 13.16
  6. 6.A bag marked ₹260 is sold at a 40% discount. What is its selling price? (a) ₹104 (b) ₹156 (c) ₹364 (d) ₹220
  7. 7.A teacher has 4 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 10 (c) 4 (d) 1
  8. 8.Every pair follows the same rule: 2 : 12, 4 : 24, 6 : 44. What is 8 : ? (a) 48 (b) 18 (c) 64 (d) 72
  9. 9.The simple interest on ₹1500 for 5 years is ₹225. What is the rate per year? (a) 15% (b) 3% (c) 4% (d) 2%
  10. 10.What is the smallest number you must add to 562 to make it divisible by 7? (a) 2 (b) 4 (c) 5 (d) 6
  11. 11.A teacher has 50 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 20 (c) 50 (d) 5
  12. 12.A shopkeeper buys a toy for ₹960 and sells it for ₹1344. What is his profit percent? (a) 41% (b) 40% (c) 45% (d) 35%
  13. 13.If 9x + 9 = 45, what is x? (a) 36 (b) 6 (c) 5 (d) 4
  14. 14.What is 1/5 of 20? (a) 4 (b) 16 (c) 5 (d) 8
  15. 15.Every pair follows the same rule: 3 : 9, 6 : 36, 8 : 64. What is 2 : ? (a) 8 (b) 4 (c) 5 (d) 6
  16. 16.A shopkeeper buys a toy for ₹240 and sells it for ₹192. What is his loss percent? (a) 25% (b) 48% (c) 15% (d) 20%
  17. 17.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 180 (b) 48 (c) 540 (d) 90
  18. 18.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 65 (b) 97 (c) 50 (d) 18
  19. 19.If 5 March is a Tuesday, what day of the week is 17 March? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 18 sq cm (d) 9 sq cm
  21. 21.What is the average of 18, 21, 24, 30 and 57? (a) 29 (b) 32 (c) 30 (d) 31
  22. 22.1.06 + 2.1 = ? (a) 1.27 (b) 3.06 (c) 3.26 (d) 3.16
  23. 23.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 60 (b) 120 (c) 42 (d) 360
  24. 24.The simple interest on ₹6000 for 2 years is ₹720. What is the rate per year? (a) 12% (b) 5% (c) 7% (d) 6%
  25. 25.What is the value of the digit 5 in 25.847? (a) 50 (b) 0.5 (c) 5 (d) 0.05
  26. 26.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 48 min (c) 2 min (d) 14 min
  27. 27.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  28. 28.₹1500 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹2040 (b) ₹1680 (c) ₹360 (d) ₹1860
  29. 29.If 3x − 1 = 44, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  30. 30.Which fraction is greater: 1/7 or 1/6? (a) 1/6 (b) They are equal (c) 1/7
  31. 31.If 5x − 8 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 10
  32. 32.The simple interest on ₹9000 for 2 years is ₹720. What is the rate per year? (a) 3% (b) 8% (c) 4% (d) 5%
  33. 33.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 120 (b) 240 (c) 720 (d) 54
  34. 34.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 57 (b) 31 (c) 25 (d) 51
  35. 35.If 25 January is a Thursday, what day of the week is 4 February? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
  36. 36.Two ribbons are 14 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 1 cm (c) 7 cm (d) 14 cm
  37. 37.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 4 (b) 64 (c) 34 (d) 65
  38. 38.Which fraction is greater: 1/5 or 2/7? (a) 1/5 (b) They are equal (c) 2/7
  39. 39.What is 60% of 140? (a) 56 (b) 840 (c) 168 (d) 84
  40. 40.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 54 (b) 50 (c) 92 (d) 44

Answer key

  1. 1
  2. 3
  3. 14
  4. 495
  5. 13.06
  6. ₹156
  7. 2
  8. 72
  9. 3%
  10. 5
  11. 10
  12. 40%
  13. 4
  14. 4
  15. 4
  16. 20%
  17. 90
  18. 65
  19. Sunday
  20. 18 sq cm
  21. 30
  22. 3.16
  23. 60
  24. 6%
  25. 5
  26. 24 min
  27. 49 sq cm
  28. ₹1860
  29. 15
  30. 1/6
  31. 2
  32. 4%
  33. 120
  34. 51
  35. Sunday
  36. 7 cm
  37. 64
  38. 2/7
  39. 84
  40. 92

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