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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 454 · 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.Every pair follows the same rule: 2 : 7, 6 : 27, 8 : 37. What is 5 : ? (a) 23 (b) 22 (c) 21 (d) 10
  2. 2.What is the average of 43, 33, 25, 39 and 50? (a) 40 (b) 37 (c) 39 (d) 38
  3. 3.Every pair follows the same rule: 2 : 2, 4 : 14, 5 : 23. What is 3 : ? (a) 8 (b) 7 (c) 5 (d) 3
  4. 4.What is the value of the digit 4 in 21.574? (a) 0.4 (b) 4 (c) 0.004 (d) 0.04
  5. 5.5 workers can build a wall in 4 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 8 days (d) 9 days
  6. 6.8.33 + 6.1 = ? (a) 8.94 (b) 14.53 (c) 14.43 (d) 14.33
  7. 7.What is 1/3 of 12? (a) 8 (b) 5 (c) 3 (d) 4
  8. 8.What is the average of all the whole numbers from 6 to 18? (a) 13 (b) 11 (c) 6 (d) 12
  9. 9.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 15% (b) 96% (c) 20% (d) 25%
  10. 10.A shopkeeper buys a toy for ₹640 and sells it for ₹512. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  11. 11.What is the smallest number you must add to 633 to make it divisible by 11? (a) 5 (b) 7 (c) 4 (d) 6
  12. 12.What is 1/5 of 30? (a) 24 (b) 6 (c) 7 (d) 12
  13. 13.Which fraction is greater: 2/5 or 1/4? (a) They are equal (b) 1/4 (c) 2/5
  14. 14.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 224 min (b) 4 min (c) 36 min (d) 56 min
  15. 15.What is the smallest number you must add to 725 to make it divisible by 12? (a) 8 (b) 7 (c) 6 (d) 5
  16. 16.What is 3/4 of 48? (a) 48 (b) 12 (c) 37 (d) 36
  17. 17.A bag marked ₹840 is sold at a 20% discount. What is its selling price? (a) ₹820 (b) ₹672 (c) ₹1008 (d) ₹168
  18. 18.A shopkeeper buys a toy for ₹940 and sells it for ₹893. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 47%
  19. 19.The simple interest on ₹2000 for 4 years is ₹240. What is the rate per year? (a) 3% (b) 4% (c) 12% (d) 2%
  20. 20.If 6 mangoes cost ₹138, how much do 3 mangoes cost? (a) ₹414 (b) ₹135 (c) ₹69 (d) ₹92
  21. 21.₹4000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹4240 (b) ₹160 (c) ₹4080 (d) ₹4160
  22. 22.₹2000 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹880 (b) ₹3100 (c) ₹2880 (d) ₹2220
  23. 23.8.03 + 5.9 = ? (a) 14.03 (b) 8.62 (c) 13.83 (d) 13.93
  24. 24.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  25. 25.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 24 cm (d) 12 cm
  26. 26.₹55 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹45 (b) ₹11 (c) ₹55 (d) ₹44
  27. 27.What is the value of the digit 2 in 57.281? (a) 0.2 (b) 2 (c) 0.02 (d) 0.002
  28. 28.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 198 cm
  29. 29.What is the simple interest on ₹2000 at 5% per year for 2 years? (a) ₹300 (b) ₹100 (c) ₹2200 (d) ₹200
  30. 30.A teacher has 30 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 30 (c) 6 (d) 3
  31. 31.Every pair follows the same rule: 3 : 13, 5 : 17, 7 : 21. What is 6 : ? (a) 16 (b) 19 (c) 18 (d) 20
  32. 32.If 4x + 13 = 3x + 15, what is x? (a) 3 (b) 4 (c) 2 (d) 28
  33. 33.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 5 : ? (a) 25 (b) 11 (c) 19 (d) 15
  34. 34.What is the simple interest on ₹7000 at 9% per year for 4 years? (a) ₹9520 (b) ₹3150 (c) ₹630 (d) ₹2520
  35. 35.Every pair follows the same rule: 3 : 9, 7 : 49, 9 : 81. What is 2 : ? (a) 6 (b) 5 (c) 4 (d) 8
  36. 36.Today is Thursday. What day of the week will it be after 94 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  37. 37.What is the remainder when 400 is divided by 7? (a) 0 (b) 2 (c) 1 (d) 6
  38. 38.A shopkeeper buys a toy for ₹140 and sells it for ₹98. What is his loss percent? (a) 25% (b) 35% (c) 42% (d) 30%
  39. 39.If 2 mangoes cost ₹24, how much do 3 mangoes cost? (a) ₹72 (b) ₹25 (c) ₹48 (d) ₹36
  40. 40.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%

Answer key

  1. 22
  2. 38
  3. 7
  4. 0.004
  5. 2 days
  6. 14.43
  7. 4
  8. 12
  9. 20%
  10. 20%
  11. 5
  12. 6
  13. 2/5
  14. 56 min
  15. 7
  16. 36
  17. ₹672
  18. 5%
  19. 3%
  20. ₹69
  21. ₹4160
  22. ₹2880
  23. 13.93
  24. 20%
  25. 24 cm
  26. ₹44
  27. 0.2
  28. 12 cm
  29. ₹200
  30. 6
  31. 19
  32. 2
  33. 25
  34. ₹2520
  35. 4
  36. Sunday
  37. 1
  38. 30%
  39. ₹36
  40. 25%

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