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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 53 · 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.Which fraction is greater: 1/6 or 2/11? (a) They are equal (b) 2/11 (c) 1/6
  2. 2.Today is Saturday. What day of the week will it be after 20 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  3. 3.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 16 days (c) 17 days (d) 10 days
  4. 4.₹1000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹1080 (b) ₹60 (c) ₹1060 (d) ₹1020
  5. 5.A bag marked ₹1680 is sold at a 25% discount. What is its selling price? (a) ₹420 (b) ₹2100 (c) ₹1260 (d) ₹1655
  6. 6.8.77 + 9.6 = ? (a) 18.27 (b) 9.73 (c) 18.37 (d) 18.47
  7. 7.A shopkeeper buys a toy for ₹440 and sells it for ₹418. What is his loss percent? (a) 22% (b) 5% (c) 6% (d) 10%
  8. 8.Which of these numbers is divisible by 4? (a) 1704 (b) 1703 (c) 1710 (d) 1706
  9. 9.What is the simple interest on ₹5000 at 9% per year for 5 years? (a) ₹7250 (b) ₹2250 (c) ₹450 (d) ₹2700
  10. 10.Every pair follows the same rule: 2 : 2, 5 : 23, 7 : 47. What is 8 : ? (a) 63 (b) 8 (c) 62 (d) 59
  11. 11.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 3 days (d) 7 days
  12. 12.If 7x − 3 = 39, what is x? (a) 5 (b) 7 (c) 42 (d) 6
  13. 13.If 7 pens cost ₹63, how much do 12 pens cost? (a) ₹756 (b) ₹68 (c) ₹117 (d) ₹108
  14. 14.Which of these numbers is divisible by 4? (a) 1285 (b) 1294 (c) 1291 (d) 1288
  15. 15.What is the remainder when 481 is divided by 9? (a) 4 (b) 6 (c) 3 (d) 5
  16. 16.What is the value of the digit 2 in 32.568? (a) 0.02 (b) 20 (c) 0.2 (d) 2
  17. 17.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 68 sq cm (d) 51 sq cm
  18. 18.What is the units digit of 7^36? (a) 9 (b) 3 (c) 7 (d) 1
  19. 19.What is the remainder when 730 is divided by 11? (a) 3 (b) 4 (c) 7 (d) 5
  20. 20.Today is Sunday. What day of the week will it be after 17 days? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
  21. 21.Which of these numbers is divisible by 8? (a) 1392 (b) 1404 (c) 1386 (d) 1393
  22. 22.In how many years will ₹1000 earn ₹350 simple interest at 7% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
  23. 23.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 128 sq cm (c) 112 sq cm (d) 46 sq cm
  24. 24.If 8x + 22 = 142, what is x? (a) 16 (b) 120 (c) 15 (d) 14
  25. 25.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 24 min (c) 12 min (d) 2 min
  26. 26.1/7 + 2/3 = ? (a) 3/10 (b) 17/21 (c) 16/21 (d) 6/7
  27. 27.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 27 (b) 53 (c) 7 (d) 33
  28. 28.What is the value of the digit 1 in 29.157? (a) 0.01 (b) 1 (c) 0.001 (d) 0.1
  29. 29.If 6 mangoes cost ₹126, how much do 12 mangoes cost? (a) ₹252 (b) ₹273 (c) ₹132 (d) ₹1512
  30. 30.If 8 October is a Friday, what day of the week is 22 October? (a) Thursday (b) Saturday (c) Friday (d) Sunday
  31. 31.If 4x + 2 = 2x + 10, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  32. 32.What is the average of 39, 45, 44 and 12? (a) 36 (b) 34 (c) 35 (d) 37
  33. 33.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 72 min (c) 42 min (d) 432 min
  34. 34.What is the remainder when 314 is divided by 8? (a) 6 (b) 2 (c) 3 (d) 1
  35. 35.If 9x + 23 = 59, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  36. 36.Every pair follows the same rule: 3 : 9, 7 : 49, 8 : 64. What is 2 : ? (a) 6 (b) 8 (c) 5 (d) 4
  37. 37.A shopkeeper buys a toy for ₹600 and sells it for ₹840. What is his profit percent? (a) 40% (b) 45% (c) 41% (d) 35%
  38. 38.What is the remainder when 341 is divided by 8? (a) 6 (b) 5 (c) 4 (d) 3
  39. 39.A teacher has 27 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 36 (d) 27
  40. 40.A teacher has 10 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 60 (c) 2 (d) 10

Answer key

  1. 2/11
  2. Friday
  3. 16 days
  4. ₹1060
  5. ₹1260
  6. 18.37
  7. 5%
  8. 1704
  9. ₹2250
  10. 62
  11. 7 days
  12. 6
  13. ₹108
  14. 1288
  15. 4
  16. 2
  17. 51 sq cm
  18. 1
  19. 4
  20. Wednesday
  21. 1392
  22. 5 years
  23. 112 sq cm
  24. 15
  25. 12 min
  26. 17/21
  27. 33
  28. 0.1
  29. ₹252
  30. Friday
  31. 4
  32. 35
  33. 72 min
  34. 2
  35. 4
  36. 4
  37. 40%
  38. 5
  39. 9
  40. 2

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