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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 185 · 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.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 15 (b) 54 (c) 14 (d) 26
  2. 2.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 4 cm (b) 1 cm (c) 3 cm (d) 2 cm
  3. 3.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
  4. 4.8 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 11 days (c) 12 days (d) 7 days
  5. 5.Every pair follows the same rule: 2 : 13, 3 : 18, 6 : 45. What is 8 : ? (a) 63 (b) 73 (c) 74 (d) 19
  6. 6.What is the average of 67, 76, 52, 78 and 62? (a) 69 (b) 68 (c) 67 (d) 66
  7. 7.What is the value of the digit 5 in 41.853? (a) 0.005 (b) 0.05 (c) 5 (d) 0.5
  8. 8.What is the simple interest on ₹8500 at 7% per year for 4 years? (a) ₹2975 (b) ₹595 (c) ₹10880 (d) ₹2380
  9. 9.Which of these numbers is divisible by 8? (a) 6232 (b) 6242 (c) 6228 (d) 6239
  10. 10.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 216 (b) 24 (c) 12 (d) 186
  11. 11.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 42 cm (d) 160 cm
  12. 12.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  13. 13.If 4x + 8 = 3x + 18, what is x? (a) 11 (b) 12 (c) 26 (d) 10
  14. 14.If x/6 + 8 = 18, what is x? (a) 60 (b) 156 (c) 10 (d) 100
  15. 15.Which of these numbers is divisible by 3? (a) 1278 (b) 1282 (c) 1276 (d) 1280
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  17. 17.In how many years will ₹1000 earn ₹150 simple interest at 3% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
  18. 18.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 75 min (b) 40 min (c) 375 min (d) 5 min
  19. 19.What is 1/9 of 63? (a) 56 (b) 14 (c) 8 (d) 7
  20. 20.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 41% (b) 45% (c) 35% (d) 40%
  21. 21.What is the value of the digit 5 in 73.845? (a) 0.05 (b) 0.5 (c) 5 (d) 0.005
  22. 22.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 20% (b) 15% (c) 10% (d) 16%
  23. 23.Which is the greatest: 0.3, 0.35, 0.282, 0.021? (a) 0.3 (b) 0.35 (c) 0.282 (d) 0.021
  24. 24.If 6 pens cost ₹126, how much do 7 pens cost? (a) ₹168 (b) ₹147 (c) ₹127 (d) ₹882
  25. 25.₹98 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹28 (b) ₹49 (c) ₹70 (d) ₹14
  26. 26.Which fraction is greater: 3/4 or 1/3? (a) They are equal (b) 3/4 (c) 1/3
  27. 27.What is the units digit of 8^50? (a) 6 (b) 8 (c) 4 (d) 2
  28. 28.In how many years will ₹7500 earn ₹750 simple interest at 2% per year? (a) 4 years (b) 6 years (c) 10 years (d) 5 years
  29. 29.What is the remainder when 793 is divided by 11? (a) 2 (b) 0 (c) 1 (d) 10
  30. 30.What is 20% of 60? (a) 24 (b) 12 (c) 48 (d) 120
  31. 31.Which fraction is greater: 1/6 or 4/7? (a) 4/7 (b) They are equal (c) 1/6
  32. 32.If 3 July is a Sunday, what day of the week is 13 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  33. 33.3/6 + 1/3 = ? (a) 4/9 (b) 2/3 (c) 1 (d) 5/6
  34. 34.2/3 + 2/3 = ? (a) 1 (b) 5/3 (c) 4/3 (d) 2/3
  35. 35.Two ribbons are 10 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 2 cm (c) 10 cm (d) 1 cm
  36. 36.What is 25% of 840? (a) 2100 (b) 420 (c) 630 (d) 210
  37. 37.₹240 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹240 (b) ₹40 (c) ₹200 (d) ₹120
  38. 38.If 8 pens cost ₹88, how much do 7 pens cost? (a) ₹616 (b) ₹88 (c) ₹87 (d) ₹77
  39. 39.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  40. 40.Which fraction is greater: 1/4 or 4/5? (a) 1/4 (b) 4/5 (c) They are equal

Answer key

  1. 14
  2. 2 cm
  3. 12 min
  4. 12 days
  5. 73
  6. 67
  7. 0.05
  8. ₹2380
  9. 6232
  10. 216
  11. 52 cm
  12. 121 sq cm
  13. 10
  14. 60
  15. 1278
  16. 36 sq cm
  17. 5 years
  18. 75 min
  19. 7
  20. 40%
  21. 0.005
  22. 15%
  23. 0.35
  24. ₹147
  25. ₹70
  26. 3/4
  27. 4
  28. 5 years
  29. 1
  30. 12
  31. 4/7
  32. Wednesday
  33. 5/6
  34. 4/3
  35. 2 cm
  36. 210
  37. ₹200
  38. ₹77
  39. 49 sq cm
  40. 4/5

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