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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 119 · 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.What is the value of the digit 4 in 73.864? (a) 0.04 (b) 4 (c) 0.4 (d) 0.004
  2. 2.What is the average of all the whole numbers from 19 to 41? (a) 11 (b) 22 (c) 30 (d) 31
  3. 3.₹374 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹102 (b) ₹272 (c) ₹34 (d) ₹187
  4. 4.What is the average of all the whole numbers from 41 to 71? (a) 30 (b) 57 (c) 15 (d) 56
  5. 5.If 7 notebooks cost ₹42, how much do 9 notebooks cost? (a) ₹60 (b) ₹44 (c) ₹378 (d) ₹54
  6. 6.₹100 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹50 (b) ₹30 (c) ₹10 (d) ₹70
  7. 7.Which is the greatest: 0.6, 0.583, 0.029, 0.62? (a) 0.6 (b) 0.583 (c) 0.029 (d) 0.62
  8. 8.What is the smallest number you must add to 698 to make it divisible by 12? (a) 11 (b) 10 (c) 2 (d) 9
  9. 9.If x/5 + 2 = 8, what is x? (a) 50 (b) 38 (c) 30 (d) 6
  10. 10.What is the simple interest on ₹6000 at 2% per year for 2 years? (a) ₹120 (b) ₹240 (c) ₹6240 (d) ₹360
  11. 11.What is the remainder when 372 is divided by 9? (a) 6 (b) 2 (c) 3 (d) 4
  12. 12.What is the smallest number you must add to 106 to make it divisible by 6? (a) 4 (b) 2 (c) 1 (d) 3
  13. 13.Every pair follows the same rule: 4 : 16, 5 : 18, 7 : 22. What is 9 : ? (a) 21 (b) 27 (c) 26 (d) 36
  14. 14.The simple interest on ₹1000 for 4 years is ₹120. What is the rate per year? (a) 2% (b) 4% (c) 3% (d) 12%
  15. 15.In how many years will ₹3000 earn ₹300 simple interest at 2% per year? (a) 5 years (b) 6 years (c) 4 years (d) 10 years
  16. 16.8.78 + 9.6 = ? (a) 18.28 (b) 9.74 (c) 18.48 (d) 18.38
  17. 17.What is 20% of 580? (a) 464 (b) 116 (c) 1160 (d) 232
  18. 18.If 5x + 10 = 40, what is x? (a) 7 (b) 30 (c) 10 (d) 6
  19. 19.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
  20. 20.If 3 notebooks cost ₹60, how much do 9 notebooks cost? (a) ₹66 (b) ₹200 (c) ₹180 (d) ₹540
  21. 21.Which of these numbers is divisible by 9? (a) 2107 (b) 2099 (c) 2116 (d) 2106
  22. 22.If 2x + 1 = 17, what is x? (a) 8 (b) 16 (c) 9 (d) 7
  23. 23.Today is Saturday. What day of the week will it be after 95 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  24. 24.What is the average of all the whole numbers from 46 to 56? (a) 52 (b) 5 (c) 51 (d) 10
  25. 25.The simple interest on ₹4000 for 3 years is ₹1440. What is the rate per year? (a) 11% (b) 12% (c) 13% (d) 36%
  26. 26.What is the units digit of 3^21? (a) 9 (b) 7 (c) 1 (d) 3
  27. 27.3.09 + 9.1 = ? (a) 12.19 (b) 12.09 (c) 12.29 (d) 4
  28. 28.What is the units digit of 7^36? (a) 3 (b) 1 (c) 7 (d) 9
  29. 29.3.85 + 8.1 = ? (a) 4.66 (b) 11.95 (c) 12.05 (d) 11.85
  30. 30.Two ribbons are 25 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 150 cm (c) 1 cm (d) 5 cm
  31. 31.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 35 cm (c) 22 cm (d) 117 cm
  32. 32.A teacher has 22 pencils and 33 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 66 (b) 22 (c) 11 (d) 1
  33. 33.What is 40% of 820? (a) 656 (b) 328 (c) 492 (d) 3280
  34. 34.6.26 + 6.2 = ? (a) 12.56 (b) 6.88 (c) 12.36 (d) 12.46
  35. 35.What is the average of 58, 63, 42, 63 and 39? (a) 52 (b) 53 (c) 54 (d) 55
  36. 36.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 36 (b) 21 (c) 108 (d) 72
  37. 37.What is the units digit of 9^18? (a) 1 (b) 0 (c) 2 (d) 9
  38. 38.Every pair follows the same rule: 5 : 25, 7 : 49, 8 : 64. What is 3 : ? (a) 23 (b) 10 (c) 9 (d) 15
  39. 39.Every pair follows the same rule: 6 : 36, 8 : 64, 9 : 81. What is 7 : ? (a) 49 (b) 42 (c) 47 (d) 37
  40. 40.Which is the greatest: 0.035, 0.65, 0.6, 0.521? (a) 0.035 (b) 0.65 (c) 0.6 (d) 0.521

Answer key

  1. 0.004
  2. 30
  3. ₹272
  4. 56
  5. ₹54
  6. ₹70
  7. 0.62
  8. 10
  9. 30
  10. ₹240
  11. 3
  12. 2
  13. 26
  14. 3%
  15. 5 years
  16. 18.38
  17. 116
  18. 6
  19. 18 cm
  20. ₹180
  21. 2106
  22. 8
  23. Wednesday
  24. 51
  25. 12%
  26. 3
  27. 12.19
  28. 1
  29. 11.95
  30. 5 cm
  31. 44 cm
  32. 11
  33. 328
  34. 12.46
  35. 53
  36. 36
  37. 1
  38. 9
  39. 49
  40. 0.65

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