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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 578 · 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.₹9500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹9690 (b) ₹10260 (c) ₹10070 (d) ₹570
  2. 2.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 2 : ? (a) 8 (b) 9 (c) 18 (d) 26
  3. 3.2.41 + 7.2 = ? (a) 9.71 (b) 9.61 (c) 3.13 (d) 9.51
  4. 4.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 23% (b) 10% (c) 6% (d) 5%
  5. 5.₹4500 is invested at 10% per year simple interest. What is the amount after 5 years? (a) ₹4950 (b) ₹2250 (c) ₹6750 (d) ₹7200
  6. 6.Which fraction is greater: 8/9 or 1/5? (a) They are equal (b) 1/5 (c) 8/9
  7. 7.Which is the greatest: 0.3, 0.261, 0.049, 0.38? (a) 0.3 (b) 0.261 (c) 0.049 (d) 0.38
  8. 8.Today is Monday. What day of the week will it be after 46 days? (a) Saturday (b) Friday (c) Thursday (d) Sunday
  9. 9.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 70 sq cm
  10. 10.What is 75% of 880? (a) 660 (b) 6600 (c) 220 (d) 1320
  11. 11.If x/6 + 13 = 15, what is x? (a) 168 (b) 2 (c) 77 (d) 12
  12. 12.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  13. 13.The simple interest on ₹7000 for 4 years is ₹840. What is the rate per year? (a) 12% (b) 4% (c) 2% (d) 3%
  14. 14.If x/4 + 15 = 27, what is x? (a) 93 (b) 168 (c) 48 (d) 12
  15. 15.If 8x + 12 = 2x + 42, what is x? (a) 3 (b) 9 (c) 6 (d) 5
  16. 16.7.18 + 9.2 = ? (a) 16.28 (b) 16.48 (c) 8.1 (d) 16.38
  17. 17.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 10 days (b) 12 days (c) 3 days (d) 2 days
  18. 18.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 170 sq cm (b) 52 sq cm (c) 153 sq cm (d) 26 sq cm
  19. 19.What is the smallest number you must add to 189 to make it divisible by 5? (a) 4 (b) 2 (c) 3 (d) 1
  20. 20.What is the average of 67, 68, 48, 42, 61 and 38? (a) 56 (b) 54 (c) 55 (d) 53
  21. 21.₹7500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹8250 (b) ₹10500 (c) ₹11250 (d) ₹3000
  22. 22.8/9 + 3/4 = ? (a) 11/13 (b) 29/18 (c) 5/3 (d) 59/36
  23. 23.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 11% (b) 6% (c) 10% (d) 5%
  24. 24.What is the remainder when 333 is divided by 11? (a) 3 (b) 4 (c) 2 (d) 8
  25. 25.Every pair follows the same rule: 5 : 18, 6 : 22, 8 : 30. What is 3 : ? (a) 9 (b) 11 (c) 10 (d) 16
  26. 26.What is the value of the digit 8 in 81.249? (a) 0.08 (b) 8 (c) 80 (d) 0.8
  27. 27.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 22 cm (d) 12 cm
  28. 28.The simple interest on ₹3000 for 3 years is ₹360. What is the rate per year? (a) 12% (b) 5% (c) 3% (d) 4%
  29. 29.What is the remainder when 375 is divided by 7? (a) 4 (b) 6 (c) 3 (d) 5
  30. 30.Which of these numbers is divisible by 4? (a) 236 (b) 237 (c) 235 (d) 243
  31. 31.In how many years will ₹7000 earn ₹1680 simple interest at 6% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
  32. 32.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 22 (c) 33 (d) 11
  33. 33.If 2 mangoes cost ₹44, how much do 3 mangoes cost? (a) ₹132 (b) ₹88 (c) ₹45 (d) ₹66
  34. 34.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 101 (c) 37 (d) 80
  35. 35.₹7500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹8100 (b) ₹9300 (c) ₹1200 (d) ₹8700
  36. 36.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 209 sq cm (d) 190 sq cm
  37. 37.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 152 cm
  38. 38.1.63 + 9.1 = ? (a) 10.83 (b) 10.63 (c) 2.54 (d) 10.73
  39. 39.If x/2 + 14 = 26, what is x? (a) 24 (b) 38 (c) 80 (d) 12
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 225 sq cm (d) 56 sq cm

Answer key

  1. ₹10070
  2. 8
  3. 9.61
  4. 5%
  5. ₹6750
  6. 8/9
  7. 0.38
  8. Friday
  9. 70 sq cm
  10. 660
  11. 12
  12. 20%
  13. 3%
  14. 48
  15. 5
  16. 16.38
  17. 3 days
  18. 153 sq cm
  19. 1
  20. 54
  21. ₹10500
  22. 59/36
  23. 5%
  24. 3
  25. 10
  26. 80
  27. 11 cm
  28. 4%
  29. 4
  30. 236
  31. 4 years
  32. 11
  33. ₹66
  34. 101
  35. ₹8700
  36. 190 sq cm
  37. 9 cm
  38. 10.73
  39. 24
  40. 196 sq cm

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