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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 707 · 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.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 4 min (c) 160 min (d) 40 min
  2. 2.₹480 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹432 (b) ₹48 (c) ₹480 (d) ₹240
  3. 3.₹348 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹174 (b) ₹203 (c) ₹29 (d) ₹145
  4. 4.In how many years will ₹3000 earn ₹750 simple interest at 5% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
  5. 5.If 4 March is a Friday, what day of the week is 12 March? (a) Friday (b) Sunday (c) Monday (d) Saturday
  6. 6.If 4 notebooks cost ₹36, how much do 7 notebooks cost? (a) ₹63 (b) ₹252 (c) ₹72 (d) ₹39
  7. 7.What is 1/2 of 16? (a) 7 (b) 16 (c) 8 (d) 9
  8. 8.What is the remainder when 308 is divided by 10? (a) 9 (b) 8 (c) 2 (d) 7
  9. 9.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 81 sq cm
  10. 10.Which of these numbers is divisible by 8? (a) 6429 (b) 6437 (c) 6442 (d) 6432
  11. 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
  12. 12.In how many years will ₹1000 earn ₹100 simple interest at 5% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
  13. 13.Which is the greatest: 0.3, 0.35, 0.268, 0.071? (a) 0.3 (b) 0.35 (c) 0.268 (d) 0.071
  14. 14.8.29 + 9.1 = ? (a) 17.39 (b) 9.2 (c) 17.29 (d) 17.49
  15. 15.A shopkeeper buys a toy for ₹240 and sells it for ₹252. What is his profit percent? (a) 10% (b) 12% (c) 6% (d) 5%
  16. 16.2.56 + 9.7 = ? (a) 12.16 (b) 3.53 (c) 12.36 (d) 12.26
  17. 17.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 37 cm (c) 42 cm (d) 80 cm
  18. 18.Which fraction is greater: 4/11 or 2/9? (a) 4/11 (b) 2/9 (c) They are equal
  19. 19.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 18 (b) 47 (c) 40 (d) 25
  20. 20.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 38 cm (d) 60 cm
  21. 21.What is 1/3 of 33? (a) 22 (b) 12 (c) 11 (d) 10
  22. 22.What is 2/9 of 36? (a) 28 (b) 12 (c) 8 (d) 4
  23. 23.If 6x + 11 = 4x + 33, what is x? (a) 22 (b) 13 (c) 12 (d) 11
  24. 24.What is the average of all the whole numbers from 47 to 57? (a) 5 (b) 10 (c) 52 (d) 53
  25. 25.Which is the smallest: 0.064, 0.83, 0.776, 0.8? (a) 0.064 (b) 0.83 (c) 0.776 (d) 0.8
  26. 26.If x/5 + 10 = 22, what is x? (a) 160 (b) 60 (c) 12 (d) 100
  27. 27.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 36 sq cm (d) 24 sq cm
  28. 28.₹7500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹2250 (b) ₹7950 (c) ₹10200 (d) ₹9750
  29. 29.If 18 May is a Sunday, what day of the week is 8 June? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
  30. 30.If x/2 + 7 = 13, what is x? (a) 12 (b) 40 (c) 19 (d) 6
  31. 31.In how many years will ₹3500 earn ₹420 simple interest at 4% per year? (a) 4 years (b) 6 years (c) 3 years (d) 2 years
  32. 32.Which of these numbers is divisible by 6? (a) 2448 (b) 2453 (c) 2447 (d) 2456
  33. 33.Which of these numbers is divisible by 8? (a) 2709 (b) 2704 (c) 2702 (d) 2713
  34. 34.What is 25% of 200? (a) 150 (b) 50 (c) 500 (d) 100
  35. 35.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 18 days (b) 2 days (c) 10 days (d) 19 days
  36. 36.Which of these numbers is divisible by 8? (a) 6150 (b) 6144 (c) 6157 (d) 6143
  37. 37.What is 2/3 of 24? (a) 24 (b) 8 (c) 16 (d) 17
  38. 38.7.76 + 3.4 = ? (a) 8.1 (b) 11.06 (c) 11.26 (d) 11.16
  39. 39.₹253 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹161 (b) ₹184 (c) ₹92 (d) ₹23
  40. 40.If 2x + 6 = 16, what is x? (a) 11 (b) 5 (c) 10 (d) 6

Answer key

  1. 40 min
  2. ₹432
  3. ₹203
  4. 5 years
  5. Saturday
  6. ₹63
  7. 8
  8. 8
  9. 72 sq cm
  10. 6432
  11. 54 sq cm
  12. 2 years
  13. 0.35
  14. 17.39
  15. 5%
  16. 12.26
  17. 42 cm
  18. 4/11
  19. 40
  20. 38 cm
  21. 11
  22. 8
  23. 11
  24. 52
  25. 0.064
  26. 60
  27. 36 sq cm
  28. ₹9750
  29. Sunday
  30. 12
  31. 3 years
  32. 2448
  33. 2704
  34. 50
  35. 18 days
  36. 6144
  37. 16
  38. 11.16
  39. ₹161
  40. 5

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