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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 233 · 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.A shopkeeper buys a toy for ₹740 and sells it for ₹592. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
  2. 2.If 6x + 10 = 2x + 14, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  3. 3.Every pair follows the same rule: 2 : 5, 5 : 26, 8 : 65. What is 6 : ? (a) 39 (b) 38 (c) 9 (d) 37
  4. 4.If x/4 + 14 = 21, what is x? (a) 7 (b) 140 (c) 70 (d) 28
  5. 5.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 61 (b) 16 (c) 49 (d) 47
  6. 6.Every pair follows the same rule: 2 : 4, 4 : 16, 7 : 49. What is 6 : ? (a) 36 (b) 8 (c) 38 (d) 12
  7. 7.What is the average of all the whole numbers from 36 to 76? (a) 56 (b) 57 (c) 40 (d) 20
  8. 8.What is the remainder when 400 is divided by 7? (a) 6 (b) 2 (c) 1 (d) 0
  9. 9.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 96 (b) 54 (c) 49 (d) 61
  10. 10.What is 5/9 of 108? (a) 48 (b) 12 (c) 72 (d) 60
  11. 11.Which is the greatest: 0.5, 0.021, 0.56, 0.491? (a) 0.5 (b) 0.021 (c) 0.56 (d) 0.491
  12. 12.8.95 + 8.2 = ? (a) 9.77 (b) 17.25 (c) 17.15 (d) 17.05
  13. 13.What is 25% of 500? (a) 1250 (b) 375 (c) 250 (d) 125
  14. 14.Which of these numbers is divisible by 3? (a) 1576 (b) 1579 (c) 1582 (d) 1578
  15. 15.If x/3 + 4 = 9, what is x? (a) 39 (b) 23 (c) 15 (d) 5
  16. 16.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) 30 min (b) 25 min (c) 5 min (d) 150 min
  17. 17.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 35 (b) 54 (c) 75 (d) 47
  18. 18.If 3 March is a Tuesday, what day of the week is 19 March? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
  19. 19.₹253 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹23 (b) ₹92 (c) ₹161 (d) ₹184
  20. 20.Today is Tuesday. What day of the week will it be after 30 days? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
  21. 21.Today is Thursday. What day of the week will it be after 82 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  22. 22.3 workers can build a wall in 14 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 17 days (d) 28 days
  23. 23.Which of these numbers is divisible by 6? (a) 5356 (b) 5349 (c) 5362 (d) 5352
  24. 24.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 70 cm (d) 27 cm
  25. 25.If 3 kites cost ₹45, how much do 8 kites cost? (a) ₹120 (b) ₹135 (c) ₹50 (d) ₹360
  26. 26.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 24 (b) 36 (c) 69 (d) 57
  27. 27.What is the simple interest on ₹2000 at 8% per year for 5 years? (a) ₹160 (b) ₹960 (c) ₹2800 (d) ₹800
  28. 28.₹176 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹44 (b) ₹88 (c) ₹176 (d) ₹132
  29. 29.What is 1/2 of 16? (a) 8 (b) 16 (c) 7 (d) 9
  30. 30.What is the smallest number you must add to 287 to make it divisible by 10? (a) 4 (b) 2 (c) 7 (d) 3
  31. 31.The simple interest on ₹5500 for 5 years is ₹1925. What is the rate per year? (a) 7% (b) 8% (c) 35% (d) 6%
  32. 32.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 68 (c) 15 (d) 56
  33. 33.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 11 (c) 1 (d) 55
  34. 34.A shopkeeper buys a toy for ₹500 and sells it for ₹350. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  35. 35.If 9x + 1 = 73, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  36. 36.What is 30% of 80? (a) 48 (b) 56 (c) 240 (d) 24
  37. 37.What is 40% of 160? (a) 640 (b) 128 (c) 64 (d) 96
  38. 38.If 8x + 8 = 3x + 43, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  39. 39.1.31 + 6.8 = ? (a) 8.21 (b) 8.01 (c) 8.11 (d) 1.99
  40. 40.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 126 sq cm (c) 25 sq cm (d) 144 sq cm

Answer key

  1. 20%
  2. 1
  3. 37
  4. 28
  5. 61
  6. 36
  7. 56
  8. 1
  9. 96
  10. 60
  11. 0.56
  12. 17.15
  13. 125
  14. 1578
  15. 15
  16. 30 min
  17. 75
  18. Thursday
  19. ₹161
  20. Thursday
  21. Tuesday
  22. 7 days
  23. 5352
  24. 34 cm
  25. ₹120
  26. 57
  27. ₹800
  28. ₹132
  29. 8
  30. 3
  31. 7%
  32. 68
  33. 11
  34. 30%
  35. 8
  36. 24
  37. 64
  38. 7
  39. 8.11
  40. 126 sq cm

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