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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 745 · 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 ₹640 and sells it for ₹800. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  2. 2.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 60 (b) 32 (c) 240 (d) 120
  3. 3.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 42 (b) 32 (c) 62 (d) 12
  4. 4.What is the average of all the whole numbers from 42 to 48? (a) 3 (b) 46 (c) 6 (d) 45
  5. 5.Which of these numbers is divisible by 9? (a) 2040 (b) 2043 (c) 2058 (d) 2051
  6. 6.If 3x + 25 = 58, what is x? (a) 12 (b) 10 (c) 11 (d) 33
  7. 7.What is 5/6 of 42? (a) 42 (b) 36 (c) 7 (d) 35
  8. 8.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 35 min (c) 250 min (d) 50 min
  9. 9.What is the units digit of 8^37? (a) 4 (b) 6 (c) 2 (d) 8
  10. 10.What is the units digit of 9^13? (a) 8 (b) 7 (c) 1 (d) 9
  11. 11.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 336 (b) 40 (c) 168 (d) 84
  12. 12.Which of these numbers is divisible by 8? (a) 1272 (b) 1279 (c) 1267 (d) 1283
  13. 13.What is the units digit of 8^11? (a) 2 (b) 8 (c) 4 (d) 6
  14. 14.If 2 January is a Sunday, what day of the week is 17 January? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  15. 15.A bag marked ₹860 is sold at a 50% discount. What is its selling price? (a) ₹1290 (b) ₹430 (c) ₹810 (d) ₹431
  16. 16.What is the simple interest on ₹1500 at 2% per year for 4 years? (a) ₹150 (b) ₹1620 (c) ₹120 (d) ₹30
  17. 17.If 7x − 46 = 38, what is x? (a) 11 (b) 13 (c) 84 (d) 12
  18. 18.A shopkeeper buys a toy for ₹460 and sells it for ₹414. What is his loss percent? (a) 46% (b) 5% (c) 15% (d) 10%
  19. 19.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
  20. 20.3.71 + 7.5 = ? (a) 11.11 (b) 11.31 (c) 4.46 (d) 11.21
  21. 21.What is the average of 66, 62, 65, 63 and 109? (a) 72 (b) 73 (c) 74 (d) 75
  22. 22.If 5 kites cost ₹95, how much do 10 kites cost? (a) ₹950 (b) ₹100 (c) ₹190 (d) ₹209
  23. 23.What is 75% of 560? (a) 840 (b) 4200 (c) 420 (d) 140
  24. 24.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 20 days (b) 7 days (c) 5 days (d) 13 days
  25. 25.If x/4 + 9 = 17, what is x? (a) 8 (b) 59 (c) 32 (d) 104
  26. 26.What is the value of the digit 3 in 34.751? (a) 3 (b) 0.03 (c) 0.3 (d) 30
  27. 27.Which is the greatest: 0.8, 0.88, 0.034, 0.772? (a) 0.8 (b) 0.88 (c) 0.034 (d) 0.772
  28. 28.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 45 cm
  29. 29.Every pair follows the same rule: 3 : 12, 7 : 16, 9 : 18. What is 8 : ? (a) 16 (b) 32 (c) 18 (d) 17
  30. 30.What is the remainder when 218 is divided by 3? (a) 2 (b) 1 (c) 0
  31. 31.5 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 31 days (c) 15 days (d) 30 days
  32. 32.If 3 December is a Tuesday, what day of the week is 18 December? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  33. 33.A bag marked ₹580 is sold at a 10% discount. What is its selling price? (a) ₹638 (b) ₹522 (c) ₹58 (d) ₹570
  34. 34.2.51 + 8.3 = ? (a) 10.81 (b) 10.91 (c) 3.34 (d) 10.71
  35. 35.In how many years will ₹1000 earn ₹440 simple interest at 11% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  36. 36.The simple interest on ₹4500 for 3 years is ₹540. What is the rate per year? (a) 3% (b) 12% (c) 4% (d) 5%
  37. 37.If 3x + 4 = x + 12, what is x? (a) 2 (b) 4 (c) 8 (d) 5
  38. 38.What is the value of the digit 6 in 36.782? (a) 0.6 (b) 6 (c) 60 (d) 0.06
  39. 39.7 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 28 days (b) 29 days (c) 16 days (d) 8 days
  40. 40.If 4x + 8 = x + 11, what is x? (a) 2 (b) 3 (c) 4 (d) 1

Answer key

  1. 25%
  2. 60
  3. 42
  4. 45
  5. 2043
  6. 11
  7. 35
  8. 50 min
  9. 8
  10. 9
  11. 84
  12. 1272
  13. 2
  14. Monday
  15. ₹430
  16. ₹120
  17. 12
  18. 10%
  19. 15%
  20. 11.21
  21. 73
  22. ₹190
  23. 420
  24. 5 days
  25. 32
  26. 30
  27. 0.88
  28. 4 cm
  29. 17
  30. 2
  31. 30 days
  32. Wednesday
  33. ₹522
  34. 10.81
  35. 4 years
  36. 4%
  37. 4
  38. 6
  39. 28 days
  40. 1

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