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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 640 · 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 : 10, 6 : 14, 9 : 17. What is 4 : ? (a) 12 (b) 11 (c) 13 (d) 20
  2. 2.If x/3 + 12 = 16, what is x? (a) 12 (b) 36 (c) 84 (d) 4
  3. 3.A teacher has 33 pencils and 44 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 132 (b) 1 (c) 11 (d) 33
  4. 4.Which of these numbers is divisible by 3? (a) 896 (b) 901 (c) 897 (d) 899
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 64 sq cm (c) 81 sq cm (d) 16 sq cm
  6. 6.Which fraction is greater: 3/7 or 1/3? (a) They are equal (b) 1/3 (c) 3/7
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 28 sq cm (d) 56 sq cm
  8. 8.If 16 March is a Thursday, what day of the week is 12 April? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
  9. 9.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 22 (b) 112 (c) 57 (d) 56
  10. 10.What is the units digit of 2^46? (a) 6 (b) 8 (c) 2 (d) 4
  11. 11.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 11 (b) 24 (c) 4 (d) 3
  12. 12.A shopkeeper buys a toy for ₹500 and sells it for ₹650. What is his profit percent? (a) 35% (b) 30% (c) 31% (d) 25%
  13. 13.What is 40% of 460? (a) 368 (b) 1840 (c) 276 (d) 184
  14. 14.What is 30% of 940? (a) 282 (b) 564 (c) 2820 (d) 658
  15. 15.₹7500 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹8625 (b) ₹7875 (c) ₹750 (d) ₹8250
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  17. 17.Which fraction is greater: 1/7 or 7/8? (a) They are equal (b) 1/7 (c) 7/8
  18. 18.A bag marked ₹1000 is sold at a 30% discount. What is its selling price? (a) ₹700 (b) ₹300 (c) ₹1300 (d) ₹970
  19. 19.7.97 + 7.9 = ? (a) 15.77 (b) 15.97 (c) 8.76 (d) 15.87
  20. 20.₹10000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹13300 (b) ₹11100 (c) ₹14400 (d) ₹3300
  21. 21.If 11 October is a Wednesday, what day of the week is 23 October? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
  22. 22.Which of these numbers is divisible by 11? (a) 2447 (b) 2431 (c) 2437 (d) 2423
  23. 23.What is 5% of 500? (a) 250 (b) 475 (c) 50 (d) 25
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
  25. 25.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  26. 26.₹160 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹112 (b) ₹16 (c) ₹48 (d) ₹80
  27. 27.What is the units digit of 9^36? (a) 9 (b) 0 (c) 2 (d) 1
  28. 28.What is 60% of 900? (a) 360 (b) 540 (c) 1080 (d) 5400
  29. 29.What is the average of 48, 72, 62, 63 and 70? (a) 63 (b) 62 (c) 65 (d) 64
  30. 30.What is 7/9 of 45? (a) 5 (b) 35 (c) 40 (d) 10
  31. 31.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 7 (b) 9 (c) 8 (d) 2
  32. 32.Every pair follows the same rule: 3 : 12, 8 : 32, 9 : 36. What is 6 : ? (a) 25 (b) 15 (c) 24 (d) 23
  33. 33.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 44 min (b) 120 min (c) 480 min (d) 4 min
  34. 34.If 3 December is a Friday, what day of the week is 14 December? (a) Wednesday (b) Tuesday (c) Thursday (d) Monday
  35. 35.If 3x − 1 = 26, what is x? (a) 10 (b) 27 (c) 9 (d) 8
  36. 36.A bag marked ₹1020 is sold at a 50% discount. What is its selling price? (a) ₹511 (b) ₹970 (c) ₹510 (d) ₹1530
  37. 37.₹333 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹74 (b) ₹37 (c) ₹296 (d) ₹259
  38. 38.1.72 + 3.2 = ? (a) 2.04 (b) 5.02 (c) 4.92 (d) 4.82
  39. 39.In how many years will ₹4000 earn ₹1440 simple interest at 9% per year? (a) 8 years (b) 5 years (c) 3 years (d) 4 years
  40. 40.What is the average of 53, 67, 65, 62, 75 and 56? (a) 65 (b) 62 (c) 63 (d) 64

Answer key

  1. 12
  2. 12
  3. 11
  4. 897
  5. 64 sq cm
  6. 3/7
  7. 196 sq cm
  8. Wednesday
  9. 56
  10. 4
  11. 3
  12. 30%
  13. 184
  14. 282
  15. ₹8250
  16. 25 sq cm
  17. 7/8
  18. ₹700
  19. 15.87
  20. ₹13300
  21. Monday
  22. 2431
  23. 25
  24. 24 cm
  25. 40%
  26. ₹112
  27. 1
  28. 540
  29. 63
  30. 35
  31. 8
  32. 24
  33. 120 min
  34. Tuesday
  35. 9
  36. ₹510
  37. ₹259
  38. 4.92
  39. 4 years
  40. 63

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