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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 941 · 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 remainder when 144 is divided by 7? (a) 5 (b) 4 (c) 3 (d) 6
  2. 2.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 36 cm (c) 15 cm (d) 30 cm
  3. 3.If 4 kites cost ₹92, how much do 5 kites cost? (a) ₹93 (b) ₹138 (c) ₹460 (d) ₹115
  4. 4.If 8x + 5 = 125, what is x? (a) 120 (b) 16 (c) 14 (d) 15
  5. 5.8 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 41 days (c) 16 days (d) 40 days
  6. 6.A bag marked ₹1780 is sold at a 40% discount. What is its selling price? (a) ₹1740 (b) ₹712 (c) ₹1068 (d) ₹2492
  7. 7.If 12 July is a Thursday, what day of the week is 9 August? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  8. 8.What is the value of the digit 4 in 23.485? (a) 0.04 (b) 4 (c) 0.004 (d) 0.4
  9. 9.4.02 + 5.8 = ? (a) 9.92 (b) 9.82 (c) 9.72 (d) 4.6
  10. 10.6 workers can build a wall in 4 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 8 days (c) 1 day (d) 7 days
  11. 11.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 32 (c) 54 (d) 57
  12. 12.A shopkeeper buys a toy for ₹640 and sells it for ₹480. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  13. 13.What is the average of all the whole numbers from 40 to 80? (a) 40 (b) 61 (c) 20 (d) 60
  14. 14.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 3 : ? (a) 7 (b) 5 (c) 9 (d) 6
  15. 15.What is the value of the digit 6 in 65.324? (a) 0.6 (b) 60 (c) 0.06 (d) 6
  16. 16.What is the units digit of 8^25? (a) 2 (b) 6 (c) 8 (d) 4
  17. 17.What is the average of 80, 72, 69, 86 and 83? (a) 77 (b) 79 (c) 80 (d) 78
  18. 18.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 10% (b) 32% (c) 5% (d) 6%
  19. 19.₹240 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹240 (b) ₹48 (c) ₹192 (d) ₹120
  20. 20.Which is the greatest: 0.372, 0.4, 0.035, 0.45? (a) 0.372 (b) 0.4 (c) 0.035 (d) 0.45
  21. 21.Which is the greatest: 0.52, 0.459, 0.053, 0.5? (a) 0.52 (b) 0.459 (c) 0.053 (d) 0.5
  22. 22.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 36 sq cm (d) 45 sq cm
  23. 23.The simple interest on ₹9000 for 3 years is ₹2970. What is the rate per year? (a) 11% (b) 12% (c) 33% (d) 10%
  24. 24.Which of these numbers is divisible by 4? (a) 693 (b) 688 (c) 689 (d) 687
  25. 25.What is 1/2 of 8? (a) 3 (b) 8 (c) 5 (d) 4
  26. 26.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
  27. 27.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 18 days (d) 13 days
  28. 28.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  29. 29.1/5 + 1/4 = ? (a) 9/20 (b) 2/5 (c) 2/9 (d) 1/2
  30. 30.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 120 min (c) 22 min (d) 2 min
  31. 31.If 7x + 21 = 70, what is x? (a) 49 (b) 8 (c) 13 (d) 7
  32. 32.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 217 (b) 174 (c) 6 (d) 216
  33. 33.If 8x − 4 = 28, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  34. 34.If 2x + 12 = 16, what is x? (a) 4 (b) 3 (c) 14 (d) 2
  35. 35.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 16 min (c) 60 min (d) 30 min
  36. 36.Which of these numbers is divisible by 4? (a) 2624 (b) 2626 (c) 2623 (d) 2630
  37. 37.What is the average of 74, 71, 58, 72 and 25? (a) 75 (b) 60 (c) 59 (d) 61
  38. 38.What is the value of the digit 4 in 45.189? (a) 0.4 (b) 4 (c) 0.04 (d) 40
  39. 39.9.49 + 9.6 = ? (a) 19.19 (b) 18.99 (c) 10.45 (d) 19.09
  40. 40.If 3x + 21 = 27, what is x? (a) 2 (b) 3 (c) 16 (d) 6

Answer key

  1. 4
  2. 30 cm
  3. ₹115
  4. 15
  5. 40 days
  6. ₹1068
  7. Thursday
  8. 0.4
  9. 9.82
  10. 8 days
  11. 57
  12. 25%
  13. 60
  14. 9
  15. 60
  16. 8
  17. 78
  18. 5%
  19. ₹192
  20. 0.45
  21. 0.52
  22. 36 sq cm
  23. 11%
  24. 688
  25. 4
  26. 26 cm
  27. 18 days
  28. 50%
  29. 9/20
  30. 60 min
  31. 7
  32. 216
  33. 4
  34. 2
  35. 30 min
  36. 2624
  37. 60
  38. 40
  39. 19.09
  40. 2

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