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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 998 · 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 1/7 of 49? (a) 14 (b) 42 (c) 7 (d) 8
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  3. 3.What is the value of the digit 8 in 48.291? (a) 80 (b) 8 (c) 0.08 (d) 0.8
  4. 4.Which is the smallest: 0.021, 0.3, 0.34, 0.297? (a) 0.021 (b) 0.3 (c) 0.34 (d) 0.297
  5. 5.7/8 + 4/6 = ? (a) 37/24 (b) 3/2 (c) 19/12 (d) 11/14
  6. 6.What is 4/7 of 21? (a) 9 (b) 3 (c) 15 (d) 12
  7. 7.₹5500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹8140 (b) ₹2640 (c) ₹6160 (d) ₹8800
  8. 8.What is the value of the digit 4 in 17.254? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
  9. 9.A bag marked ₹1520 is sold at a 15% discount. What is its selling price? (a) ₹1505 (b) ₹1292 (c) ₹1748 (d) ₹228
  10. 10.A shopkeeper buys a toy for ₹980 and sells it for ₹1372. What is his profit percent? (a) 35% (b) 41% (c) 45% (d) 40%
  11. 11.Which fraction is greater: 5/6 or 2/7? (a) 5/6 (b) 2/7 (c) They are equal
  12. 12.If 8 kites cost ₹32, how much do 10 kites cost? (a) ₹40 (b) ₹44 (c) ₹34 (d) ₹320
  13. 13.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 20 (c) 35 (d) 45
  14. 14.If 9x + 1 = 3x + 73, what is x? (a) 14 (b) 13 (c) 6 (d) 12
  15. 15.If 3x + 1 = 13, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  16. 16.If 2 mangoes cost ₹42, how much do 8 mangoes cost? (a) ₹336 (b) ₹48 (c) ₹168 (d) ₹189
  17. 17.Which of these numbers is divisible by 6? (a) 2132 (b) 2136 (c) 2145 (d) 2138
  18. 18.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  19. 19.₹5500 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹5885 (b) ₹7425 (c) ₹7810 (d) ₹1925
  20. 20.A bag marked ₹1520 is sold at a 10% discount. What is its selling price? (a) ₹1368 (b) ₹1510 (c) ₹1672 (d) ₹152
  21. 21.If 9x + 30 = 93, what is x? (a) 8 (b) 6 (c) 7 (d) 63
  22. 22.What is the average of all the whole numbers from 30 to 54? (a) 42 (b) 12 (c) 43 (d) 24
  23. 23.If x/5 + 1 = 10, what is x? (a) 49 (b) 9 (c) 45 (d) 55
  24. 24.If 9 December is a Saturday, what day of the week is 19 December? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
  25. 25.A shopkeeper buys a toy for ₹660 and sells it for ₹990. What is his profit percent? (a) 50% (b) 55% (c) 45% (d) 51%
  26. 26.What is the average of 72, 71, 86, 73 and 78? (a) 76 (b) 75 (c) 77 (d) 95
  27. 27.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 32 sq cm (d) 40 sq cm
  28. 28.The simple interest on ₹3500 for 3 years is ₹945. What is the rate per year? (a) 8% (b) 27% (c) 10% (d) 9%
  29. 29.What is 60% of 680? (a) 272 (b) 816 (c) 4080 (d) 408
  30. 30.What is the simple interest on ₹5000 at 12% per year for 2 years? (a) ₹1200 (b) ₹6200 (c) ₹600 (d) ₹1800
  31. 31.Every pair follows the same rule: 2 : 7, 3 : 8, 7 : 12. What is 6 : ? (a) 10 (b) 11 (c) 13 (d) 12
  32. 32.If x/6 + 2 = 6, what is x? (a) 4 (b) 48 (c) 24 (d) 34
  33. 33.1/2 + 1/4 = ? (a) 3/4 (b) 1 (c) 1/3 (d) 1/2
  34. 34.If 24 November is a Sunday, what day of the week is 18 December? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  35. 35.Which fraction is greater: 1/9 or 1/10? (a) They are equal (b) 1/10 (c) 1/9
  36. 36.If 8x + 17 = 6x + 21, what is x? (a) 4 (b) 19 (c) 2 (d) 3
  37. 37.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 21 (b) 36 (c) 108 (d) 72
  38. 38.A bag marked ₹720 is sold at a 50% discount. What is its selling price? (a) ₹360 (b) ₹1080 (c) ₹670 (d) ₹361
  39. 39.If 14 June is a Sunday, what day of the week is 6 July? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  40. 40.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 78% (b) 15% (c) 10% (d) 5%

Answer key

  1. 7
  2. 49 sq cm
  3. 8
  4. 0.021
  5. 37/24
  6. 12
  7. ₹8140
  8. 0.004
  9. ₹1292
  10. 40%
  11. 5/6
  12. ₹40
  13. 45
  14. 12
  15. 4
  16. ₹168
  17. 2136
  18. 25%
  19. ₹7425
  20. ₹1368
  21. 7
  22. 42
  23. 45
  24. Tuesday
  25. 50%
  26. 76
  27. 32 sq cm
  28. 9%
  29. 408
  30. ₹1200
  31. 11
  32. 24
  33. 3/4
  34. Wednesday
  35. 1/9
  36. 2
  37. 36
  38. ₹360
  39. Monday
  40. 10%

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