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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 756 · 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.₹52 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹13 (b) ₹52 (c) ₹26 (d) ₹39
  2. 2.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 39 min (b) 3 min (c) 126 min (d) 378 min
  3. 3.Which is the greatest: 0.051, 0.733, 0.8, 0.84? (a) 0.051 (b) 0.733 (c) 0.8 (d) 0.84
  4. 4.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 8 (c) 20 (d) 4
  5. 5.What is the remainder when 424 is divided by 7? (a) 6 (b) 4 (c) 3 (d) 5
  6. 6.What is the value of the digit 8 in 27.148? (a) 0.008 (b) 0.8 (c) 0.08 (d) 8
  7. 7.What is 1/2 of 4? (a) 2 (b) 4 (c) 1 (d) 3
  8. 8.Which of these numbers is divisible by 9? (a) 2762 (b) 2767 (c) 2777 (d) 2763
  9. 9.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 1 cm
  10. 10.The simple interest on ₹9000 for 5 years is ₹5400. What is the rate per year? (a) 13% (b) 60% (c) 11% (d) 12%
  11. 11.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 64 (c) 63 (d) 113
  12. 12.What is the average of 43, 50, 52 and 75? (a) 56 (b) 57 (c) 54 (d) 55
  13. 13.If 4x − 1 = 11, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  14. 14.If 7x + 20 = 5x + 40, what is x? (a) 11 (b) 10 (c) 30 (d) 12
  15. 15.Every pair follows the same rule: 3 : 18, 6 : 33, 7 : 38. What is 2 : ? (a) 17 (b) 14 (c) 12 (d) 13
  16. 16.Every pair follows the same rule: 4 : 7, 7 : 16, 9 : 22. What is 3 : ? (a) 6 (b) 4 (c) 3 (d) 5
  17. 17.What is the units digit of 7^47? (a) 9 (b) 3 (c) 1 (d) 7
  18. 18.A teacher has 28 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 28 (b) 1 (c) 7 (d) 140
  19. 19.What is the remainder when 280 is divided by 11? (a) 4 (b) 5 (c) 7 (d) 6
  20. 20.If 30 January is a Sunday, what day of the week is 10 February? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  22. 22.If 3x − 15 = 3, what is x? (a) 18 (b) 7 (c) 6 (d) 5
  23. 23.What is the value of the digit 9 in 53.967? (a) 0.09 (b) 9 (c) 0.009 (d) 0.9
  24. 24.Which fraction is greater: 5/8 or 1/4? (a) 1/4 (b) 5/8 (c) They are equal
  25. 25.If 7 notebooks cost ₹42, how much do 8 notebooks cost? (a) ₹336 (b) ₹54 (c) ₹48 (d) ₹43
  26. 26.In how many years will ₹4500 earn ₹675 simple interest at 5% per year? (a) 2 years (b) 4 years (c) 6 years (d) 3 years
  27. 27.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 44 min (c) 448 min (d) 4 min
  28. 28.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 360 min (b) 6 min (c) 60 min (d) 42 min
  29. 29.If 8x + 14 = 5x + 50, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  30. 30.What is 1/2 of 14? (a) 6 (b) 7 (c) 8 (d) 14
  31. 31.What is the average of 36, 56, 57, 50 and 11? (a) 41 (b) 44 (c) 42 (d) 43
  32. 32.If 8 mangoes cost ₹120, how much do 2 mangoes cost? (a) ₹30 (b) ₹114 (c) ₹45 (d) ₹240
  33. 33.What is the units digit of 3^14? (a) 1 (b) 3 (c) 7 (d) 9
  34. 34.Which is the greatest: 0.65, 0.571, 0.6, 0.097? (a) 0.65 (b) 0.571 (c) 0.6 (d) 0.097
  35. 35.If 15 January is a Monday, what day of the week is 17 February? (a) Sunday (b) Monday (c) Friday (d) Saturday
  36. 36.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 480 min (c) 44 min (d) 4 min
  37. 37.Every pair follows the same rule: 6 : 28, 7 : 32, 9 : 40. What is 8 : ? (a) 35 (b) 30 (c) 37 (d) 36
  38. 38.Every pair follows the same rule: 2 : 6, 6 : 18, 7 : 21. What is 4 : ? (a) 13 (b) 8 (c) 11 (d) 12
  39. 39.A bag marked ₹1400 is sold at a 50% discount. What is its selling price? (a) ₹2100 (b) ₹701 (c) ₹700 (d) ₹1350
  40. 40.Which is the smallest: 0.7, 0.662, 0.071, 0.73? (a) 0.7 (b) 0.662 (c) 0.071 (d) 0.73

Answer key

  1. ₹39
  2. 126 min
  3. 0.84
  4. 4
  5. 4
  6. 0.008
  7. 2
  8. 2763
  9. 2 cm
  10. 12%
  11. 113
  12. 55
  13. 3
  14. 10
  15. 13
  16. 4
  17. 3
  18. 7
  19. 5
  20. Thursday
  21. 64 sq cm
  22. 6
  23. 0.9
  24. 5/8
  25. ₹48
  26. 3 years
  27. 112 min
  28. 60 min
  29. 12
  30. 7
  31. 42
  32. ₹30
  33. 9
  34. 0.65
  35. Saturday
  36. 120 min
  37. 36
  38. 12
  39. ₹700
  40. 0.071

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