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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 36 · 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 average of 44, 65, 69 and 38? (a) 53 (b) 55 (c) 72 (d) 54
  2. 2.9.81 + 9.9 = ? (a) 19.61 (b) 19.81 (c) 19.71 (d) 10.8
  3. 3.If 9 mangoes cost ₹63, how much do 2 mangoes cost? (a) ₹14 (b) ₹56 (c) ₹21 (d) ₹126
  4. 4.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 378 (b) 252 (c) 126 (d) 39
  5. 5.What is 1/6 of 42? (a) 8 (b) 14 (c) 35 (d) 7
  6. 6.Which is the smallest: 0.61, 0.013, 0.6, 0.559? (a) 0.61 (b) 0.013 (c) 0.6 (d) 0.559
  7. 7.If 8x + 19 = 35, what is x? (a) 1 (b) 16 (c) 2 (d) 3
  8. 8.If x/6 + 12 = 16, what is x? (a) 4 (b) 24 (c) 168 (d) 84
  9. 9.Every pair follows the same rule: 4 : 14, 5 : 23, 9 : 79. What is 8 : ? (a) 18 (b) 65 (c) 63 (d) 62
  10. 10.Two ribbons are 22 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 77 cm (b) 1 cm (c) 11 cm (d) 22 cm
  11. 11.What is 1/3 of 24? (a) 8 (b) 16 (c) 9 (d) 7
  12. 12.What is 1/3 of 9? (a) 3 (b) 2 (c) 4 (d) 6
  13. 13.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 13 sq cm (c) 26 sq cm (d) 48 sq cm
  14. 14.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 22 sq cm (d) 126 sq cm
  15. 15.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 63 (b) 30 (c) 189 (d) 126
  16. 16.What is the units digit of 8^23? (a) 2 (b) 4 (c) 8 (d) 6
  17. 17.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 4 days (d) 19 days
  18. 18.What is the value of the digit 2 in 31.672? (a) 2 (b) 0.002 (c) 0.02 (d) 0.2
  19. 19.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 15 min (c) 3 min (d) 54 min
  20. 20.What is the simple interest on ₹1000 at 7% per year for 4 years? (a) ₹350 (b) ₹280 (c) ₹70 (d) ₹1280
  21. 21.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 8 cm (c) 16 cm (d) 9 cm
  22. 22.What is the units digit of 2^41? (a) 2 (b) 8 (c) 6 (d) 4
  23. 23.Which is the smallest: 0.015, 0.69, 0.531, 0.6? (a) 0.015 (b) 0.69 (c) 0.531 (d) 0.6
  24. 24.Which of these numbers is divisible by 6? (a) 1826 (b) 1813 (c) 1818 (d) 1819
  25. 25.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 6 (b) 7 (c) 16 (d) 34
  26. 26.In how many years will ₹4000 earn ₹240 simple interest at 3% per year? (a) 4 years (b) 1 year (c) 3 years (d) 2 years
  27. 27.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  28. 28.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 3 days (c) 2 days (d) 4 days
  29. 29.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 21 (b) 39 (c) 42 (d) 57
  30. 30.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  31. 31.If 3 pens cost ₹24, how much do 4 pens cost? (a) ₹40 (b) ₹32 (c) ₹96 (d) ₹25
  32. 32.A bag marked ₹740 is sold at a 10% discount. What is its selling price? (a) ₹730 (b) ₹74 (c) ₹666 (d) ₹814
  33. 33.What is the average of all the whole numbers from 58 to 92? (a) 17 (b) 75 (c) 76 (d) 34
  34. 34.What is the simple interest on ₹4500 at 10% per year for 3 years? (a) ₹450 (b) ₹1350 (c) ₹5850 (d) ₹1800
  35. 35.What is the smallest number you must add to 103 to make it divisible by 9? (a) 7 (b) 6 (c) 4 (d) 5
  36. 36.6.51 + 9.1 = ? (a) 15.61 (b) 15.51 (c) 15.71 (d) 7.42
  37. 37.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 34 (b) 24 (c) 35 (d) 14
  38. 38.What is the units digit of 7^55? (a) 1 (b) 3 (c) 7 (d) 9
  39. 39.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 95 sq cm (b) 23 sq cm (c) 76 sq cm (d) 46 sq cm
  40. 40.Which fraction is greater: 6/7 or 2/5? (a) They are equal (b) 6/7 (c) 2/5

Answer key

  1. 54
  2. 19.71
  3. ₹14
  4. 126
  5. 7
  6. 0.013
  7. 2
  8. 24
  9. 62
  10. 11 cm
  11. 8
  12. 3
  13. 40 sq cm
  14. 112 sq cm
  15. 63
  16. 2
  17. 3 days
  18. 0.002
  19. 18 min
  20. ₹280
  21. 8 cm
  22. 2
  23. 0.015
  24. 1818
  25. 6
  26. 2 years
  27. 49 sq cm
  28. 3 days
  29. 57
  30. 225 sq cm
  31. ₹32
  32. ₹666
  33. 75
  34. ₹1350
  35. 5
  36. 15.61
  37. 34
  38. 3
  39. 76 sq cm
  40. 6/7

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