← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 906 · 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.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 190 cm
  2. 2.What is the simple interest on ₹9000 at 9% per year for 5 years? (a) ₹4050 (b) ₹810 (c) ₹4860 (d) ₹13050
  3. 3.What is 3/7 of 63? (a) 28 (b) 27 (c) 9 (d) 36
  4. 4.A teacher has 49 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 14 (d) 49
  5. 5.What is the value of the digit 9 in 46.379? (a) 9 (b) 0.09 (c) 0.9 (d) 0.009
  6. 6.5.41 + 3.4 = ? (a) 5.75 (b) 8.71 (c) 8.91 (d) 8.81
  7. 7.What is the smallest number you must add to 255 to make it divisible by 9? (a) 6 (b) 7 (c) 3 (d) 5
  8. 8.What is the units digit of 4^16? (a) 4 (b) 5 (c) 7 (d) 6
  9. 9.What is the remainder when 328 is divided by 12? (a) 3 (b) 5 (c) 4 (d) 8
  10. 10.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  11. 11.If 4x + 2 = 3x + 4, what is x? (a) 4 (b) 2 (c) 6 (d) 3
  12. 12.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 3 min (c) 180 min (d) 60 min
  13. 13.3/4 + 3/6 = ? (a) 7/6 (b) 3/5 (c) 5/4 (d) 4/3
  14. 14.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 52 (c) 32 (d) 28
  15. 15.The simple interest on ₹4000 for 5 years is ₹400. What is the rate per year? (a) 10% (b) 1% (c) 3% (d) 2%
  16. 16.Which is the greatest: 0.78, 0.652, 0.7, 0.057? (a) 0.78 (b) 0.652 (c) 0.7 (d) 0.057
  17. 17.Which is the greatest: 0.59, 0.5, 0.469, 0.012? (a) 0.59 (b) 0.5 (c) 0.469 (d) 0.012
  18. 18.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 77 sq cm (d) 66 sq cm
  19. 19.Which fraction is greater: 3/8 or 1/3? (a) 1/3 (b) They are equal (c) 3/8
  20. 20.The simple interest on ₹6000 for 5 years is ₹600. What is the rate per year? (a) 2% (b) 3% (c) 1% (d) 10%
  21. 21.If 11 April is a Thursday, what day of the week is 14 May? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  22. 22.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 42 cm (c) 21 cm (d) 110 cm
  23. 23.What is the value of the digit 7 in 97.862? (a) 0.07 (b) 0.7 (c) 70 (d) 7
  24. 24.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 24 (b) 60 (c) 54 (d) 72
  25. 25.Which fraction is greater: 4/7 or 7/8? (a) They are equal (b) 7/8 (c) 4/7
  26. 26.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 14 (b) 38 (c) 20 (d) 32
  27. 27.What is 50% of 100? (a) 51 (b) 50 (c) 100 (d) 500
  28. 28.What is the smallest number you must add to 196 to make it divisible by 3? (a) 1 (b) 2
  29. 29.If 6x + 22 = 82, what is x? (a) 60 (b) 11 (c) 10 (d) 9
  30. 30.What is 5/7 of 56? (a) 16 (b) 48 (c) 8 (d) 40
  31. 31.Which of these numbers is divisible by 8? (a) 6575 (b) 6589 (c) 6579 (d) 6576
  32. 32.If 7x − 6 = 8, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  33. 33.A bag marked ₹1120 is sold at a 15% discount. What is its selling price? (a) ₹1288 (b) ₹1105 (c) ₹168 (d) ₹952
  34. 34.If 6 January is a Sunday, what day of the week is 18 January? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  35. 35.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  36. 36.What is the units digit of 7^44? (a) 7 (b) 9 (c) 1 (d) 3
  37. 37.₹126 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹63 (b) ₹54 (c) ₹72 (d) ₹18
  38. 38.If 14 March is a Tuesday, what day of the week is 26 March? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  39. 39.If 6x + 1 = 3x + 28, what is x? (a) 9 (b) 11 (c) 3 (d) 10
  40. 40.What is the average of 23, 44, 28 and 33? (a) 33 (b) 32 (c) 34 (d) 31

Answer key

  1. 11 cm
  2. ₹4050
  3. 27
  4. 7
  5. 0.009
  6. 8.81
  7. 6
  8. 6
  9. 4
  10. 100 sq cm
  11. 2
  12. 60 min
  13. 5/4
  14. 52
  15. 2%
  16. 0.78
  17. 0.59
  18. 66 sq cm
  19. 3/8
  20. 2%
  21. Tuesday
  22. 42 cm
  23. 7
  24. 72
  25. 7/8
  26. 32
  27. 50
  28. 2
  29. 10
  30. 40
  31. 6576
  32. 2
  33. ₹952
  34. Friday
  35. 25%
  36. 1
  37. ₹72
  38. Sunday
  39. 9
  40. 32

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad