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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 300 · 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 8 in 52.843? (a) 0.08 (b) 0.8 (c) 0.008 (d) 8
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  3. 3.What is the units digit of 4^30? (a) 5 (b) 4 (c) 7 (d) 6
  4. 4.What is the average of 31, 36, 23, 38 and 2? (a) 28 (b) 26 (c) 27 (d) 25
  5. 5.Which is the smallest: 0.056, 0.24, 0.2, 0.121? (a) 0.056 (b) 0.24 (c) 0.2 (d) 0.121
  6. 6.What is the remainder when 546 is divided by 11? (a) 8 (b) 4 (c) 7 (d) 6
  7. 7.If 4x + 17 = x + 26, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  8. 8.What is the smallest number you must add to 55 to make it divisible by 4? (a) 3 (b) 1 (c) 2
  9. 9.If 2 kites cost ₹42, how much do 11 kites cost? (a) ₹231 (b) ₹252 (c) ₹51 (d) ₹462
  10. 10.Two ribbons are 21 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 3 cm (d) 21 cm
  11. 11.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 78% (b) 15% (c) 10% (d) 5%
  12. 12.₹286 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹78 (b) ₹143 (c) ₹208 (d) ₹26
  13. 13.What is the value of the digit 3 in 13.926? (a) 30 (b) 0.3 (c) 3 (d) 0.03
  14. 14.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 750 min (c) 150 min (d) 55 min
  15. 15.Which fraction is greater: 10/11 or 3/4? (a) They are equal (b) 3/4 (c) 10/11
  16. 16.What is the simple interest on ₹6500 at 7% per year for 5 years? (a) ₹455 (b) ₹2730 (c) ₹2275 (d) ₹8775
  17. 17.Which is the smallest: 0.069, 0.8, 0.723, 0.85? (a) 0.069 (b) 0.8 (c) 0.723 (d) 0.85
  18. 18.If 30 January is a Monday, what day of the week is 6 February? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  19. 19.Every pair follows the same rule: 6 : 48, 7 : 56, 9 : 72. What is 2 : ? (a) 16 (b) 15 (c) 17 (d) 44
  20. 20.A teacher has 24 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 4 (c) 8 (d) 16
  21. 21.Every pair follows the same rule: 4 : 5, 6 : 9, 8 : 13. What is 3 : ? (a) 4 (b) 3 (c) 2 (d) 5
  22. 22.1/7 + 3/4 = ? (a) 13/14 (b) 25/28 (c) 6/7 (d) 4/11
  23. 23.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 56 (c) 20 (d) 66
  24. 24.3 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 27 days (b) 4 days (c) 3 days (d) 15 days
  25. 25.Which fraction is greater: 5/11 or 1/5? (a) 1/5 (b) They are equal (c) 5/11
  26. 26.What is the average of 47, 45, 39, 49 and 55? (a) 49 (b) 46 (c) 47 (d) 48
  27. 27.Today is Sunday. What day of the week will it be after 66 days? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
  28. 28.The simple interest on ₹8500 for 2 years is ₹1360. What is the rate per year? (a) 9% (b) 8% (c) 16% (d) 7%
  29. 29.Every pair follows the same rule: 2 : 3, 5 : 24, 8 : 63. What is 9 : ? (a) 76 (b) 80 (c) 10 (d) 81
  30. 30.What is the units digit of 4^38? (a) 5 (b) 4 (c) 6 (d) 7
  31. 31.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 84 cm
  32. 32.If 15 March is a Wednesday, what day of the week is 20 April? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  33. 33.If 2x + 2 = 26, what is x? (a) 13 (b) 24 (c) 12 (d) 14
  34. 34.₹7500 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹750 (b) ₹8625 (c) ₹7875 (d) ₹8250
  35. 35.1/4 + 2/3 = ? (a) 5/6 (b) 1 (c) 11/12 (d) 3/7
  36. 36.Every pair follows the same rule: 5 : 31, 6 : 42, 9 : 87. What is 7 : ? (a) 57 (b) 56 (c) 33 (d) 55
  37. 37.What is the units digit of 7^58? (a) 1 (b) 3 (c) 7 (d) 9
  38. 38.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 60 (b) 16 (c) 48 (d) 52
  39. 39.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 8 sq cm (c) 16 sq cm (d) 18 sq cm
  40. 40.What is the remainder when 309 is divided by 10? (a) 7 (b) 9 (c) 8 (d) 1

Answer key

  1. 0.8
  2. 100 sq cm
  3. 6
  4. 26
  5. 0.056
  6. 7
  7. 3
  8. 1
  9. ₹231
  10. 3 cm
  11. 10%
  12. ₹208
  13. 3
  14. 150 min
  15. 10/11
  16. ₹2275
  17. 0.069
  18. Monday
  19. 16
  20. 8
  21. 3
  22. 25/28
  23. 66
  24. 3 days
  25. 5/11
  26. 47
  27. Wednesday
  28. 8%
  29. 80
  30. 6
  31. 7 cm
  32. Thursday
  33. 12
  34. ₹8250
  35. 11/12
  36. 55
  37. 9
  38. 60
  39. 12 sq cm
  40. 9

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