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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 367 · 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 value of the digit 2 in 39.285? (a) 2 (b) 0.02 (c) 0.2 (d) 0.002
  2. 2.If 3x + 5 = 35, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  3. 3.What is the simple interest on ₹7500 at 9% per year for 4 years? (a) ₹675 (b) ₹2700 (c) ₹10200 (d) ₹3375
  4. 4.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 11 cm (d) 22 cm
  5. 5.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 58 sq cm (c) 221 sq cm (d) 29 sq cm
  6. 6.If 15 March is a Sunday, what day of the week is 25 March? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  7. 7.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 67 (b) 87 (c) 30 (d) 62
  8. 8.What is the simple interest on ₹5500 at 2% per year for 2 years? (a) ₹220 (b) ₹110 (c) ₹5720 (d) ₹330
  9. 9.What is the units digit of 2^51? (a) 6 (b) 2 (c) 4 (d) 8
  10. 10.₹9500 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹9690 (b) ₹10070 (c) ₹9880 (d) ₹380
  11. 11.If x/2 + 12 = 16, what is x? (a) 4 (b) 8 (c) 56 (d) 20
  12. 12.7.28 + 2.6 = ? (a) 9.88 (b) 7.54 (c) 9.98 (d) 9.78
  13. 13.What is the smallest number you must add to 178 to make it divisible by 5? (a) 3 (b) 2 (c) 1 (d) 4
  14. 14.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 8 (c) 74 (d) 7
  15. 15.A teacher has 12 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 15 (c) 1 (d) 12
  16. 16.Which of these numbers is divisible by 4? (a) 2352 (b) 2350 (c) 2353 (d) 2357
  17. 17.What is the remainder when 284 is divided by 6? (a) 1 (b) 2 (c) 4 (d) 3
  18. 18.₹1000 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹1180 (b) ₹1090 (c) ₹1270 (d) ₹180
  19. 19.Which of these numbers is divisible by 4? (a) 1904 (b) 1903 (c) 1906 (d) 1911
  20. 20.What is the average of all the whole numbers from 21 to 47? (a) 13 (b) 34 (c) 35 (d) 26
  21. 21.In how many years will ₹1000 earn ₹60 simple interest at 2% per year? (a) 6 years (b) 2 years (c) 4 years (d) 3 years
  22. 22.What is the average of 25, 28, 38, 26 and 73? (a) 40 (b) 37 (c) 38 (d) 39
  23. 23.Every pair follows the same rule: 2 : 3, 4 : 7, 5 : 9. What is 3 : ? (a) 7 (b) 6 (c) 5 (d) 4
  24. 24.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 187 cm
  25. 25.Every pair follows the same rule: 6 : 14, 7 : 16, 9 : 20. What is 3 : ? (a) 7 (b) 9 (c) 11 (d) 8
  26. 26.5 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 5 days (c) 11 days (d) 20 days
  27. 27.What is 2/3 of 27? (a) 9 (b) 27 (c) 19 (d) 18
  28. 28.A shopkeeper buys a toy for ₹420 and sells it for ₹504. What is his profit percent? (a) 20% (b) 15% (c) 84% (d) 25%
  29. 29.What is the value of the digit 6 in 12.645? (a) 0.006 (b) 6 (c) 0.06 (d) 0.6
  30. 30.Every pair follows the same rule: 2 : 12, 3 : 18, 8 : 48. What is 4 : ? (a) 24 (b) 23 (c) 14 (d) 25
  31. 31.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 25% (b) 30% (c) 96% (d) 35%
  32. 32.₹324 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹144 (b) ₹162 (c) ₹180 (d) ₹36
  33. 33.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 4 : ? (a) 34 (b) 36 (c) 28 (d) 64
  34. 34.What is the units digit of 2^43? (a) 4 (b) 2 (c) 6 (d) 8
  35. 35.What is the remainder when 161 is divided by 5? (a) 0 (b) 2 (c) 4 (d) 1
  36. 36.What is 1/5 of 30? (a) 12 (b) 6 (c) 7 (d) 24
  37. 37.Which is the smallest: 0.75, 0.654, 0.038, 0.7? (a) 0.75 (b) 0.654 (c) 0.038 (d) 0.7
  38. 38.Today is Monday. What day of the week will it be after 72 days? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
  39. 39.Which fraction is greater: 1/7 or 2/3? (a) 1/7 (b) 2/3 (c) They are equal
  40. 40.₹6500 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹6955 (b) ₹1820 (c) ₹8320 (d) ₹8775

Answer key

  1. 0.2
  2. 10
  3. ₹2700
  4. 22 cm
  5. 204 sq cm
  6. Wednesday
  7. 87
  8. ₹220
  9. 8
  10. ₹9880
  11. 8
  12. 9.88
  13. 2
  14. 7
  15. 3
  16. 2352
  17. 2
  18. ₹1180
  19. 1904
  20. 34
  21. 3 years
  22. 38
  23. 5
  24. 12 cm
  25. 8
  26. 20 days
  27. 18
  28. 20%
  29. 0.6
  30. 24
  31. 30%
  32. ₹180
  33. 64
  34. 8
  35. 1
  36. 6
  37. 0.038
  38. Wednesday
  39. 2/3
  40. ₹8320

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