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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 414 · 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 average of all the whole numbers from 41 to 67? (a) 13 (b) 54 (c) 26 (d) 55
  2. 2.If 8x + 22 = 38, what is x? (a) 2 (b) 3 (c) 16 (d) 1
  3. 3.Every pair follows the same rule: 2 : 20, 8 : 26, 9 : 27. What is 4 : ? (a) 40 (b) 22 (c) 21 (d) 23
  4. 4.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 61 (b) 16 (c) 2 (d) 1
  5. 5.If 6 kites cost ₹36, how much do 2 kites cost? (a) ₹32 (b) ₹12 (c) ₹72 (d) ₹18
  6. 6.₹8000 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹13760 (b) ₹8960 (c) ₹12800 (d) ₹4800
  7. 7.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 112 cm
  8. 8.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 48 cm (c) 56 cm (d) 160 cm
  9. 9.Which is the greatest: 0.014, 0.8, 0.752, 0.85? (a) 0.014 (b) 0.8 (c) 0.752 (d) 0.85
  10. 10.What is 15% of 120? (a) 36 (b) 180 (c) 18 (d) 102
  11. 11.What is the units digit of 7^53? (a) 1 (b) 7 (c) 3 (d) 9
  12. 12.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 12 (b) 37 (c) 47 (d) 72
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  14. 14.If 7x + 17 = 4x + 23, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  15. 15.2/5 + 2/4 = ? (a) 19/20 (b) 17/20 (c) 9/10 (d) 4/9
  16. 16.Every pair follows the same rule: 5 : 20, 6 : 24, 9 : 36. What is 8 : ? (a) 31 (b) 23 (c) 33 (d) 32
  17. 17.Which is the smallest: 0.34, 0.259, 0.023, 0.3? (a) 0.34 (b) 0.259 (c) 0.023 (d) 0.3
  18. 18.If 31 January is a Monday, what day of the week is 2 February? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  19. 19.4.31 + 8.7 = ? (a) 5.18 (b) 12.91 (c) 13.11 (d) 13.01
  20. 20.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 8 cm
  21. 21.If 3 pens cost ₹24, how much do 5 pens cost? (a) ₹40 (b) ₹120 (c) ₹26 (d) ₹48
  22. 22.If 5x + 9 = 84, what is x? (a) 14 (b) 75 (c) 15 (d) 16
  23. 23.Every pair follows the same rule: 4 : 14, 8 : 18, 9 : 19. What is 7 : ? (a) 16 (b) 18 (c) 17 (d) 19
  24. 24.What is the smallest number you must add to 68 to make it divisible by 6? (a) 5 (b) 4 (c) 2 (d) 3
  25. 25.What is the units digit of 3^58? (a) 7 (b) 1 (c) 9 (d) 3
  26. 26.What is 1/4 of 44? (a) 33 (b) 12 (c) 22 (d) 11
  27. 27.Which of these numbers is divisible by 11? (a) 6134 (b) 6116 (c) 6110 (d) 6122
  28. 28.₹198 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹162 (b) ₹18 (c) ₹99 (d) ₹36
  29. 29.Which fraction is greater: 1/10 or 2/7? (a) 1/10 (b) They are equal (c) 2/7
  30. 30.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 448 min (b) 44 min (c) 112 min (d) 4 min
  31. 31.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 6 : ? (a) 12 (b) 36 (c) 18 (d) 34
  32. 32.If 7x + 8 = 50, what is x? (a) 5 (b) 42 (c) 6 (d) 7
  33. 33.If 8x − 16 = 56, what is x? (a) 5 (b) 72 (c) 9 (d) 10
  34. 34.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
  35. 35.Today is Friday. What day of the week will it be after 61 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  36. 36.If 3x + 23 = 53, what is x? (a) 9 (b) 11 (c) 10 (d) 30
  37. 37.Which of these numbers is divisible by 9? (a) 5423 (b) 5409 (c) 5414 (d) 5401
  38. 38.Which of these numbers is divisible by 6? (a) 796 (b) 792 (c) 802 (d) 790
  39. 39.A shopkeeper buys a toy for ₹800 and sells it for ₹1040. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
  40. 40.1/6 + 5/6 = ? (a) 1/2 (b) 1 (c) 5/6 (d) 7/6

Answer key

  1. 54
  2. 2
  3. 22
  4. 1
  5. ₹12
  6. ₹12800
  7. 9 cm
  8. 56 cm
  9. 0.85
  10. 18
  11. 7
  12. 47
  13. 36 sq cm
  14. 2
  15. 9/10
  16. 32
  17. 0.023
  18. Wednesday
  19. 13.01
  20. 2 cm
  21. ₹40
  22. 15
  23. 17
  24. 4
  25. 9
  26. 11
  27. 6116
  28. ₹162
  29. 2/7
  30. 112 min
  31. 36
  32. 6
  33. 9
  34. 30%
  35. Wednesday
  36. 10
  37. 5409
  38. 792
  39. 30%
  40. 1

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