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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 589 · 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 : 2, 3 : 7, 6 : 34. What is 5 : ? (a) 23 (b) 25 (c) 5 (d) 24
  2. 2.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 65 (b) 64 (c) 34 (d) 4
  3. 3.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 99 sq cm (b) 38 sq cm (c) 19 sq cm (d) 88 sq cm
  4. 4.1/2 + 2/5 = ? (a) 1 (b) 4/5 (c) 9/10 (d) 3/7
  5. 5.Which fraction is greater: 2/3 or 1/12? (a) 1/12 (b) They are equal (c) 2/3
  6. 6.What is the remainder when 110 is divided by 3? (a) 0 (b) 2 (c) 1
  7. 7.If 9x + 10 = 145, what is x? (a) 14 (b) 15 (c) 135 (d) 16
  8. 8.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 26 min (b) 84 min (c) 168 min (d) 2 min
  9. 9.₹91 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹70 (b) ₹63 (c) ₹7 (d) ₹28
  10. 10.2/3 + 1/2 = ? (a) 4/3 (b) 3/5 (c) 1 (d) 7/6
  11. 11.What is the smallest number you must add to 289 to make it divisible by 9? (a) 7 (b) 8 (c) 1 (d) 6
  12. 12.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 220 cm
  13. 13.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 80 (b) 40 (c) 28 (d) 160
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  15. 15.In how many years will ₹2500 earn ₹300 simple interest at 3% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  16. 16.Every pair follows the same rule: 4 : 15, 7 : 24, 8 : 27. What is 6 : ? (a) 17 (b) 22 (c) 20 (d) 21
  17. 17.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 18 (b) 17 (c) 25 (d) 52
  18. 18.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 9 cm (c) 8 cm (d) 16 cm
  19. 19.₹6000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹6480 (b) ₹960 (c) ₹6960 (d) ₹7440
  20. 20.Which of these numbers is divisible by 6? (a) 3996 (b) 4004 (c) 3994 (d) 4001
  21. 21.2/4 + 4/5 = ? (a) 5/4 (b) 2/3 (c) 27/20 (d) 13/10
  22. 22.A teacher has 9 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 9 (c) 3 (d) 6
  23. 23.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 48 (c) 34 (d) 76
  24. 24.If 7x + 20 = 125, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  25. 25.5.53 + 9.5 = ? (a) 6.48 (b) 14.93 (c) 15.03 (d) 15.13
  26. 26.₹6500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹6630 (b) ₹7020 (c) ₹6890 (d) ₹390
  27. 27.Which is the smallest: 0.88, 0.8, 0.048, 0.769? (a) 0.88 (b) 0.8 (c) 0.048 (d) 0.769
  28. 28.Which of these numbers is divisible by 4? (a) 549 (b) 547 (c) 555 (d) 548
  29. 29.₹8000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹8640 (b) ₹480 (c) ₹8160 (d) ₹8480
  30. 30.What is the value of the digit 1 in 53.781? (a) 1 (b) 0.001 (c) 0.1 (d) 0.01
  31. 31.Which is the smallest: 0.39, 0.265, 0.052, 0.3? (a) 0.39 (b) 0.265 (c) 0.052 (d) 0.3
  32. 32.If 9x + 1 = 4x + 46, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  33. 33.Today is Wednesday. What day of the week will it be after 60 days? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
  34. 34.What is the units digit of 3^14? (a) 3 (b) 9 (c) 7 (d) 1
  35. 35.5/7 + 2/3 = ? (a) 7/10 (b) 4/3 (c) 29/21 (d) 10/7
  36. 36.A teacher has 30 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 120 (d) 30
  37. 37.What is the average of all the whole numbers from 30 to 42? (a) 37 (b) 36 (c) 12 (d) 6
  38. 38.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 46 (b) 41 (c) 40 (d) 93
  39. 39.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
  40. 40.What is the smallest number you must add to 306 to make it divisible by 4? (a) 2 (b) 1 (c) 3

Answer key

  1. 23
  2. 64
  3. 88 sq cm
  4. 9/10
  5. 2/3
  6. 2
  7. 15
  8. 84 min
  9. ₹63
  10. 7/6
  11. 8
  12. 12 cm
  13. 40
  14. 64 sq cm
  15. 4 years
  16. 21
  17. 17
  18. 8 cm
  19. ₹6960
  20. 3996
  21. 13/10
  22. 3
  23. 76
  24. 15
  25. 15.03
  26. ₹6890
  27. 0.048
  28. 548
  29. ₹8480
  30. 0.001
  31. 0.052
  32. 9
  33. Sunday
  34. 9
  35. 29/21
  36. 10
  37. 36
  38. 40
  39. 21 sq cm
  40. 2

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